A standard rifle has a mass of 2.69 kilograms. If it were used to fire an "elephant gun" round of mass 69.4 grams at +650 meters per second, what would be the recoil velocity of the rifle? Include units in your answer. More information.

Answers

Answer 1

Initially, the system is at rest therefore, the initial momentum of the system is zero.

The final momentum of the system can be expressed as,

\(p_f=m_1v_1+m_2v_2\)

According to conservation of momentum,

\(p_i=p_f\)

Plug in the known expressions,

\(\begin{gathered} 0=m_1v_1+m_2v_2 \\ m_1v_1=-m_2v_2 \\ v_1=-\frac{m_2}{m_1}v_2 \end{gathered}\)

Substitute the known values,

\(\begin{gathered} v_1=-\frac{(69.4\text{ g)(}\frac{1\text{ kg}}{1000\text{ g}})}{(2.6\text{9 kg)}}(650\text{ m/s)} \\ =-16.8\text{ m/s} \end{gathered}\)

Thus, the recoil velocity of gun is -16.8 m/s where negative sign indicates that the motion of rifle is in the opposite direction of the bullet.


Related Questions

Describe how the boiling point of water on top of a mountain would be different from its boiling point at sea level.

Answers

Answer:

At elevated altitudes, any cooking that involves boiling or steaming generally requires compensation for lower temperatures because the boiling point of water is lower at higher altitudes due to the decreased atmospheric pressure.

Explanation:

Answer:

The Lower the air pressure the lower the boiling point.

A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the tables edge in the
horizontal direction.
a. How long is the marble in the air?
b. What is the speed of the marble when it leaves the tables edge?
Im/s
C. What is its speed when it hits the floor?

Answers

A marble rolls off a tabletop 1.15 m high and hits the floor at a point 4 m away from the edge of the table in the horizontal direction,

t= 0.45 seconds.V=2.22m/sVT=4.95 m/s

This is further explained below.

What is its speed when it hits the floor...?

Generally, the equation for motion is mathematically given as

S= ut + 0.5at²

Therefore

y = Voy t + 0.5gt^2

1 = 0.5x 98 x 6²

1=4.9t^2

\(t=\sqrt{0.2041 }\)

t= 0.45 seconds.

b) Horizontal motions are uniform.

V=Horizontal displacement/time

V=1/0.45

V=2.22m/s

C)

Vx: 2.22 m/s At bottom,

Vy² = Voy² + 2as

Vy² = 2x95x1

Vy² = 19.6

Total velocity

\(VT=\sqrt{( 2.22 m/)^2+19.6}\)

VT=4.95 m/s

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A spherical balloon has a radius of 7.15 m and is filled with helium. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 930 kg? Neglect the buoyant force on the cargo volume itself.

Answers

Answer:

 m = 876.71 kg

Explanation:

This is an exercise of Archimedes' principle, which states that the thrust on a body is equal to the weight of the dislodged liquid  

        B = ρ g V  

therefore the load that the balloon can lift is  

       B - W_structure - w_load = 0

       w_load = B - W_structure

The volume of the balloon is  

      v = 4/3 π r³

let's substitute  

      w_carga = rho g 4/3 π r³ - m_structure g  

the air density at T = 25ºc is ρ = 1.18 kg / m³

let's calculate  

     w_load = 1.18 9.8 4/3 π 7.15³ - 930 9.8  

     w_load = 17705,77 - 9114  

     w_ load = 8591.77 N

this corresponds to a mass of  

   w_load = m g  

   m = w_load / g  

   m = 8591.77 / 9.8  

   m = 876.71 kg

Consider the system of two blocks shown in (Figure 1). There is no friction between block A and the tabletop. The mass of block B is 4.60 kg . The pulley rotates about a frictionless axle, and the light rope doesn't slip on the pulley surface. The pulley has radius 0.200 m and moment of inertia 1.40 kg⋅m2. If the pulley is rotating with an angular speed of 8.00 rad/s after the block has descended 1.20 m, what is the mass of block A ?

Answers

The mass of block A is 0.906 kg.

Steps

The principle of energy conservation can help us resolve this issue. The gravitational potential energy of block B is transformed into the kinetic energy of the system at the beginning of the motion as it descends.

The pulley is subsequently rotated with some of this kinetic energy, and block A is raised with the remainder.

All of the initial potential energy is transformed into the potential energy of the lifted block and the rotating kinetic energy of the pulley at the conclusion of the motion.

The initial potential energy of the system is:

U = mgh = (m_A + m_B)gh

where m_A and m_B are the masses of blocks A and B, h is the height from which the system is released.

The final kinetic energy of the system is:

K = (1/2)Iω^2 + (1/2)(m_A + m_B)v^2

We can use the relationship between distance and angle to relate the angular velocity of the pulley to the velocity of block B:

v = rω

Substituting this into the expression for K and simplifying, we get:

K = (1/2)Iω^2 + (m_A + m_B)(rω)^2/2

Now we can equate U and K, and solve for m_A:

(m_A + m_B)gh = (1/2)Iω^2 + (m_A + m_B)(rω)^2/2

Solving for m_A, we get:

m_A = [(1/2)Iω^2 + (m_A + m_B)(rω)^2/2 - m_Bgh] / g

Substituting the given values, we get:

m_A = [(1/2)(1.40 kg⋅m^2)(8.00 rad/s)^2 + (m_A + 4.60 kg)(0.200 m)(8.00 rad/s)^2/2 - 4.60 kg(9.81 m/s^2)(1.20 m)] / 9.81 m/s^2

Simplifying and solving for m_A, we get:

m_A = 0.906 kg

Therefore, the mass of block A is 0.906 kg.

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what current flows through the 75 ohm resistor in the circuit below?

what current flows through the 75 ohm resistor in the circuit below?

Answers

The current that flows through the 75 ohm resistor in the circuit shown below is 0.12A.

How to calculate current?

The current flowing through a circuit can be calculated using the Ohm's law equation as follows;

V = IR

Where;

V = voltage (V)I = current (A)R = resistance (ohm)

According to this question, a circuit is shown in the above image. A 75 ohm resistor is given alongside a voltage of 9V. The current can be calculated as follows;

9 = I × 75

I = 0.12A

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how does a football work

Answers

Answer:

As the football travels up, gravity slows it down until it reaches a point where it stops briefly at its highest peak; then the football comes down, and gravity accelerates it until it hits the ground hard.

Have a great day!

Your heart pumps blood into your aorta (diameter 2.5 cm) with a maximum flow rate of about 500 cm^3/s. Assume that blood flow in the aorta is laminar (which is not a very accurate assumption) and that blood is a Newtonian fluid with a viscosity similar to that of water.

a. Find the pressure drop per unit length along the aorta. Compare the pressure drop along a 10 cm length of aorta to atmospheric pressure (105 Pa).
b. Estimate the power required for the heart to push blood along a 10 cm length of aorta, and compare to the basal metabolic rate of 100 W.
c. Determine and sketch the velocity profile across the aorta (assuming laminar flow). What is the velocity at the center

Answers

Answer:

a. i) The pressure drop per unit length is 52,151.89 Pa

ii) The atmospheric pressure ≈ 19.175 × The pressure drop along 10 cm length of aorta

b i) The power required for the heart to push blood along a 10 cm length of aorta, is 2.6075945 Watts

ii) The basal metabolic rate ≈ 38.35 × The power to push the blood along a 10 cm length of aorta

c. i) Please find attached the drawing for the velocity profile created with Microsoft Excel

ii) The velocity at the center is approximately 2.04 m/s

Explanation:

The given diameter of the aorta, D = 2.5 cm = 0.025 m

The maximum flow rate, Q = 500 cm³/s = 0.0005 m³/s

Assumptions;

The blood flow is laminar

The blood is a Newtonian fluid

The viscosity of water ≈ 0.01 poise = 1 cp

a. i) The pressure drop per unit length of pipe ΔP/L is given by the Hagen Poiseuille equation as follows;

\(Q = \dfrac{\pi \cdot R^4}{8 \cdot \mu} \cdot \left(\dfrac{\Delta p}{L} \right)\)

Where;

Q = The flow rate = A·v

A = The cross sectional area

R = The radius = D/2

Δp/L = The pressure drop per unit length of the pipe

Therefore, we have;

\(\dfrac{\Delta p}{L} = \dfrac{Q\cdot 8 \cdot \mu }{\pi \cdot R^4} = \dfrac{0.0005 \times 8 \times 1}{\pi \times 0.0125^4 } = 52151.89\)

The pressure drop per unit length ΔP/L = 52,151.89 Pa

ii) The pressure, ΔP, drop along 10 cm (0.1 m) length of aorta = ΔP/L × x;

∴ ΔP = 52,151.89 Pa × 0.1 m = 5,215.189 Pa

Given that the atmospheric pressure, \(P_{atm}\) = 10⁵ Pa, we have;

\(P_{atm}\)/ΔP = 10⁵/5,215.189 ≈ 19.175

Therefore, the atmospheric pressure is approximately 19.175 times the pressure drop along 10 cm length of aorta

b. i) The power, P = Q × ΔP

Therefore, the power required for the heart to push blood along a 10 cm length of aorta, is P₁₀ = 0.0005 m³/s × 5,215.189 Pa = 2.6075945 Watts

ii) Therefore compared to the basal metabolic rate of, 'P', 100 W, we have;

P/P₁₀ = 100 W/2.6075945 Watts = 38.349521 ≈ 38.35

The basal metabolic rate is approximately 38.35 times more powerful than the power to push the blood along a 10 cm length

c. i) The velocity profile across the aorta is given as follows;

\(v_m = \dfrac{1}{4 \cdot \mu} \cdot \dfrac{\Delta P}{L} \cdot R^2\)

Where;

\(v_m\) = The velocity at the center

We get;

\(v_m = \dfrac{1}{4 \times 1} \times 52,151.89 \times 0.0125^2 \approx 2 .04\)

The velocity at the center, \(v_m\) ≈ 2.04 m/s

ii) The velocity profile, v(r), is given by the following formula;

\(v(r) = v_m \cdot \left[1 - \dfrac{r^2}{R^2} \right]\)

Therefore, we have;

\(v(r) = 2.04 - \dfrac{2.04 \cdot r^2}{0.0125^2} \right] = 2.04 - 163\cdot r^2\)

The velocity profile of the pipe is created with Microsoft Excel

Your heart pumps blood into your aorta (diameter 2.5 cm) with a maximum flow rate of about 500 cm^3/s.

What will be the temperature reading in Fahrenheit scale whe eading is 310 k?​

Answers

The temperature reading in Fahrenheit scale when reading 310 K is  98.6F

What is temperature?

Temperature is the degree of hotness or coldness of the object.

Given is a temperature in Kelvin scale = 310 K

Temperature on centigrade scale = 310 -273 = 37°C

Temperature conversion from Centigrade to Fahrenheit is

C/5 = F -32/9

Plug the value, we get

37/5 = F-32/9

66.6 = F -32

F = 32+66.6 =

F = 98.6

Thus, the temperature of 310 K in Fahrenheit is 98.6F.

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A roller coaster has a mass of 450 kgIt sits at the top of a hill with height 49 m. If it drops from this hill, how fast is it going when it reaches the bottom? Assume there is no air resistance or friction.)

Answers

The speed of the roller coater at the bottom of the hill is 31 m/s.

Speed of the roller coater at the bottom of the hill

Apply the principle of conservation of mechanical energy as follows;

K.E(bottom) = P.E(top)

¹/₂mv² = mgh

v² = 2gh

v = √2gh

where;

v is the speed of the coater at bottom hillh is the height of the hillg is acceleration due to gravity

v = √(2 x 9.8 x 49)

v = 31 m/s

Thus, the speed of the roller coater at the bottom of the hill is 31 m/s.

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What accounts for the disparity between women's rights in the urban capital versus the more rural areas of Eritrea?
The practice of female genital mutilation is considered abhorrent in much of the world, and is in fact illegal even in Eritrea. Why would Laila be so conflicted about the procedure for her own daughter?
What are the implications for women's rights in Eritrea beyond this particular practice? What might bring about change?

Answers

Explanation:

The disparity between women's rights in urban and rural areas in Eritrea can be attributed to various factors such as cultural beliefs, traditional values, lack of education, and access to resources. Urban areas generally have more access to education, healthcare, and job opportunities, which can empower women and increase their participation in society. However, rural areas are often more traditional and conservative, and women may face more barriers to accessing education, healthcare, and employment opportunities.

Laila's conflict about the practice of female genital mutilation for her daughter is likely due to her cultural and social upbringing. While she may recognize the physical and psychological harm that the practice can cause, she may also feel pressure to conform to traditional values and beliefs. Additionally, there may be social consequences for not following the practice, such as being ostracized from the community.

Beyond female genital mutilation, women in Eritrea face various challenges to their rights and equality, including limited access to education, gender-based violence, and discrimination in employment and political representation. Bringing about change would require a multi-faceted approach, including education and awareness-raising campaigns, legal and policy reforms, and empowerment programs for women. It would also require addressing the underlying societal and cultural norms that perpetuate gender inequality.

define ohms laws and prism​

Answers

Ohm's Law is one of the most fundamental and important laws governing electrical and electronic circuits.

Answer:

the ohms law says

Explanation:

ohm found that current, voltage, and resistance in a circuit are always related in the same day.

ohms obersivations

ohms found that if the factors that affect resistance are held constant, the resistance of most conductors does not depend on the voltage across them charging the voltage in a circuit changes the current but does not change the resistance regardless of the applied voltage. the ohms law resistance in a circuit is equal to voltage divided by current

resistance =current or voltage =current × resistance

A man with 60 years to live wants to visit a distant Galaxy which is 160,000 light years away. What must be his constant speed?

Answers

The man's constant speed is 2.99 x 10⁸ m/s.

What is speed of light?

The speed with which the light ray travels in a medium with negative pressure or in vacuum.

This speed is the greatest speed in the universe. No matter can have speed greater than the speed of light in vacuum.

Given is a man with 60 years to live wants to visit a distant Galaxy which is 160,000 light years away.

If a man travels with the speed of light, he needs 160000 years to reach the galaxy, but visits in 60 years.

According to the relativistic theory,

160000 = 60 /√[1 - (v² /c²)]

where v is constant speed need to find and c is the speed of light in vacuum = 3 x 10⁸ m/s

Substitute into the formula, we get

160000 =  60 /√[1 - (v² /(3 x 10⁸)²) ]

Simplifying further

v² /c² = (1 - 1.406 x 10⁻⁷ )

Then,

v/c = 0.999

v = 0.999 x 3 x 10⁸ m/s

v = 2.99 x 10⁸ m/s

Thus, the constant speed of the  man is 2.99 x 10⁸ m/s.

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PLEASEEE HELPPPPP does anyone know these answers?

PLEASEEE HELPPPPP does anyone know these answers?

Answers

Answer:

oof ok

Explanation:

Thank you :)

The social model was created by​

Answers

Mike Oliver was the social media creator

If a planet has an orbital eccentricity equal to 0.70, then its orbit is

Closer to a perfect circle then a straight line


Almost rectangular


A very elongated ellipse

Almost parabolic

Answers

If a planet has an orbital eccentricity equal to 0.70, then its orbit is

a very elongated ellipse.

What is eccentricity?

Eccentricity is a measure of how squashed an ellipse is compared to a perfect circle.

The value of eccentricity ranges from 0 to 1, where 0 represents a perfect circle and 1 represents a parabolic orbit (which is not a closed orbit).

An eccentricity of 0.70 indicates that the planet's orbit is significantly elongated and not close to a perfect circle.

Therefore, the correct answer is - A very elongated ellipse.

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PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons

Answers

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

Why the electron number cannot be used instead?

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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When a 1.7 m tall man stands, his brain is 0.5 m above his heart.

If he bends so that his brain is 0.4 m below his heart, by how much does the blood pressure in his brain

changes? Note: PHeart=13.3x103

Pa.

Answers

Answer:

9.54 Kpa

Explanation:

Given :

Pheart = 13.3 * 10^3

Density of blood (ρ) = 1060 kg/m³

Difference in height of brain and heart in standing position = - 0.5

Difference in height of Brain a d heart in bending position = 0.4

g = acceleration due to gravity = 10 m/s²

Blood pressure of brain in standing position:

Pheart + ρ*g(-0.5)

13.3 * 10^3 + 1060 * 10 * - 0.5

13300 - 5300 = 8000 pascal = 8Kpa

Blood pressure of brain in bending position:

Pheart + ρ*g(0.4)

13.3 10^3 + 1060 * 10 * 0.4

13300 + 4240 = 17540 Pa = 17.54 Kpa

17.54Kpa - 8Kpa

= 9.54 Kpa

Figure B5.1 below is a diagram showing a wave travelling along a string in the direction shown

Answers

Figure B5.1 is a diagram showing a wave travelling along a string. The wave is propagating in the rightward direction, as indicated by the curved arrows.

What is direction?

Direction is a type of guidance that provides the recipient with specific instructions on how to proceed. Direction can involve information on where to go, what to do, or what to avoid. It could be used to provide instructions on a task, a journey, or an event. Direction could also be used to provide motivation and help someone stay focused on their goals. Direction can be provided verbally, through writing, or through body language. It can come from a supervisor, a teacher, or a parent. Direction is important in helping someone follow their path and achieve their goals.

The wave is depicted by a series of oscillations along the string, represented by the vertical lines. The amplitude of the wave is represented by the distance between the highest and lowest points of the oscillations. As the wave travels in the rightward direction, the oscillations move along the string, and the amplitude remains unchanged.

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A car traveling at 30 mph skids to a stop in 60 meters. If a car travels at 60 mph with the same skid conditions, then what is distance the car skids to come to a stop?

Answers

A car traveling at 60 mph and the same skid conditions will skid to a stop in 240 meters.

What is the distance a car traveling at 60 mph and the same skid conditions will skid to a stop?

The distance a car skids to come to a stop is directly proportional to the square of its speed. This means that if the speed is doubled, the distance it will take to stop will be quadrupled.

Let's use this formula to find the distance the car will skid to come to a stop at 60 mph:

(d1 / d2) = (v1^2 / v2^2)

where:

d1 = distance the car skids at 30 mph = 60 meters

v1 = speed of the car at 30 mph = 30 mph

v2 = speed of the car at 60 mph = 60 mph

d2 = distance the car skids at 60 mph (what we want to find)

Plugging in the values, we get:

(d1 / d2) = (v1^2 / v2^2)

60 / d2 = (30^2 / 60^2)

60 / d2 = 1 / 4

d2 = 4 x 60

d2 = 240 meters

Therefore, the car traveling at 60 mph will skid to a stop in 240 meters.

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What is the magnitude of the resultant vector? Round your answer to the nearest tenth. m

Answers

The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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2. Which of the following is a true statement.
Sound travels faster than light.
Sound travels slower than light

Answers

Answer:

Sound travels slower than light

Explanation:

Sound travels at around 1/3 km per second, while light travels around 300,000 km per second.

Also, this is the reason you see the lightning before you hear the thunder.

I hope this helped.

Answer:

Sound travels slower than light

Explanation:

Bc light is faster than sound

Which is increased when the string of a stringed instrument is tightened?
timbre
pitch
wavelength
loudness

Answers

the answer is b: pitch

When the string of the instrument is tightened then the length of the string decreases hence the pitch and frequency will increase so, option B is correct.

What is pitch?

The frequency at which the sound waves that create a sound vibrate determines its pitch. High-frequency sound waves produce high-pitched noises, and low-frequency sound waves make low-pitched noises. The ability to discern between harsh and flat sounds is known as pitch.

A string will vibrate at a varied frequency depending on its length. Higher frequency and higher pitch are produced by shorter strings.

The pitch rises as the anxiety does as well. A string's length is also crucial. A string vibrates and makes music when it is supported at two points and pulled. The pitch of this string will, however, rise if the length is shortened.

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Someone help me I will mark brainless it’s 2 questions .

Someone help me I will mark brainless its 2 questions .

Answers

Answer:

1.C,2.A

Explanation:

A Motorcycle Jump. You are planning to make a jump with your motorcycle by driving over a ramp that will launch you at an angle of 30.0° with respect to the horizontal. The front edge of the ramp on which you are supposed to land, however, is 25.0 ft lower than the edge of the launch ramp (i.e., your launch height).
(a) Assuming a launch speed of 55.0 mph, at what horizontal distance from your launch point should the landing ramp be placed?
(b) In order to land smoothly, the angle of the landing ramp should match the direction of your velocity vector when you touch down. What should be the angle of the landing ramp?

Answers

a. the landing ramp should be placed at 276.298 ft horizontally from the launch point.

(b) the angle of the landing ramp is 30°.

How do we calculate?

(a)

Launch speed = 55.0 mph * (1.467 ft/s)

= 80.685 ft/s

Horizontal distance = Launch speed * Time of flight

Vertical velocity = Launch speed * sin(30.0°)

Time to reach maximum height = Vertical velocity / g

Vertical distance = (1/2) *g * t²

and Time = √(2 * Vertical distance / g)

Total time of flight = 2 * Time to reach maximum height + Time for descent

Horizontal distance = Launch speed * Total time of flight

The Vertical velocity = 80.685 ft/s * sin(30.0°)

= 40.3425 ft/s

Time to reach maximum height = 40.3425 ft/s / 32.2 ft/s²

Time to reach maximum height  = 1.253 s

Time of descent = √(2 * 25.0 ft / 32.2 ft/s²)

Time of descent  = 0.913 s

Total time of flight = 2 * 1.253 s + 0.913 s

Total time of flight = 3.419 s

In conclusion, the horizontal distance = 80.685 ft/s * 3.419 s

horizontal distance = 276.298 ft

b.

the angle of the landing ramp is  30.0 be the same as the launch angle.

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Physics question plz help ASAP

Physics question plz help ASAP

Answers

The Correct answer is D Hope this helps :)

A liquid x at 25 degree Celsius is poured to a height of 40cm in a capillary tube of length 70cm and the diameter is 1cm .Assume that volume does not change with temperature. A find the initial volume of the liquid in cm^3. B. The temperature is reduced by 10°C causing the liquid to reduce in height to 37cm.Find the volume coefficient of the thermal expansion of the liquid. C. At the initial height of 40cm and temperature of 25°C , what change in temperature is needed for liquid to rise to a height of 49cm.

Answers

The initial volume of the liquid is 31.4 cm³. The volume coefficient of thermal expansion of the liquid is 0.002 per degree Celsius. A temperature increase of 109.5°C is needed for the liquid to rise to a height of 49cm.

The initial volume of the liquid can be found using the formula for the volume of a cylinder:

V = πr²h

where r is the radius (half the diameter), h is the height, and π is approximately 3.14. Plugging in the given values, we get:

V = π(0.5 cm)²(40 cm)

V = 31.4 cm³

The volume coefficient of thermal expansion (β) is defined as the fractional change in volume per degree Celsius change in temperature. It can be calculated using the formula:

β = ΔV/(VΔT)

where ΔV is the change in volume, V is the initial volume, and ΔT is the change in temperature. We can rearrange this formula to solve for ΔV:

ΔV = βVΔT

We know that ΔT = -10°C (a decrease of 10°C) and that the height decreased from 40cm to 37cm, or by 3cm. The change in volume can be found using the formula for the volume of a cylinder again, with the new height of 37cm:

ΔV = π(0.5 cm)²(40 cm - 37 cm)

ΔV = 0.59 cm³

Plugging in all the values, we get:

0.59 cm³ = β(31.4 cm³)(-10°C)

β = 0.002

To find the change in temperature needed for the liquid to rise to a height of 49cm, we can use the same formula as before, but solve for ΔT:

ΔT = ΔV/(βV)

We know that ΔV is the difference between the initial volume and the volume at the new height, which is:

ΔV = π(0.5 cm)²(49 cm - 40 cm)

ΔV = 6.86 cm³

Plugging in all the values, we get:

ΔT = 6.86 cm³/(0.002)(31.4 cm³)

ΔT = 109.5°C

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A 602-kg elevator starts from rest and moves upward for 2.60 s with constant acceleration until it reaches its cruising speed, 1.72 m/s. Answer parts a and b.

A 602-kg elevator starts from rest and moves upward for 2.60 s with constant acceleration until it reaches

Answers

The distance traveled by the elevator is 2.0136 m.

Given values: Mass, m = 602 kg. Initial velocity, u = 0 m/s. Time taken, t = 2.60 s. Final velocity, v = 1.72 m/s.(a) Find the acceleration of the elevator. The formula to calculate the acceleration is given below:

a = (v - u)/t Substitute the given values in the above equation and get the acceleration value.

a = (1.72 - 0)/2.60a = 0.6615 m/s²Therefore, the acceleration of the elevator is 0.6615 m/s².

(b) Find the distance traveled by the elevator. The formula to calculate the distance is given below:

s = ut + 1/2at²Substitute the given values in the above equation and get the distance traveled by the elevator.

s = 0(2.60) + 1/2(0.6615)(2.60)²s = 2.0136 m.

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How does the magnitude of the electrical charge on objects affect the
electric force between them? *
As the charge increases, the force decreases in strength
As the charge increases, the force becomes more negative
As the charge increases, the force increases in strength

Answers

Answer:

As the charge increases, the force decreases in strength

Explanation:

Experiments with electric charges have shown that if two objects each have electric charge, then they exert an electric force on each other. The magnitude of the force is linearly proportional to the net charge on each object and inversely proportional to the square of the distance between them...

Answer: The correct answer is: As the charge increases, the force increases in strength

Explanation:

Its kind of the obvious answer and other people don't know how to answer correctly. This was years ago but if anyone needs the answer today then here it is....

HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?

Answers

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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a roller coaster weighs 2000 kg This ride includes an initial vertical drop of 59.3 m.
Assume that the roller coaster has a speed of nearly zero as it crests the top of the hill.
If the track was frictionless, find the speed of the roller coaster at the bottom of
the hill.

Answers

The speed of the roller coaster at the bottom of the hill if the track was frictionless is 34.04 m/s.

Given that the weight of the roller coaster is 2000 kg and the initial vertical drop of the ride is 59.3 m. We are to find the speed of the roller coaster at the bottom of the hill if the track was frictionless.We know that the roller coaster will lose potential energy due to the vertical drop. Assuming there is no friction, the potential energy will be converted into kinetic energy at the bottom of the hill.Considering the conservation of energy between the potential and kinetic energy, we can set the initial potential energy equal to the final kinetic energy. We can use the formula to calculate potential energy, which is PE = mgh where m = 2000 kg, g = 9.8 m/s², and h = 59.3 m. Therefore,PE = 2000 kg × 9.8 m/s² × 59.3 m = 1,157,924 JWe can use the formula to calculate kinetic energy, which is KE = 1/2mv² where m = 2000 kg and v is the final velocity. Therefore,KE = 1/2 × 2000 kg × v².The total energy remains constant as we know there is no friction. Therefore the final kinetic energy will be equal to the initial potential energy,1,157,924 J = 1/2 × 2000 kg × v²v² = (2 × 1,157,924 J) / 2000 kgv² = 1157.924v = √1157.924v = 34.04 m/s.

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