a 120 kg mass, initially at rest, is blown apart into an 80 kg piece and a 40 kg piece. after the blast, the two masses are moving apart with a relative velocity of 60 m/s. the total kinetic energy after the explosion is

Answer:

light bends away from the normal when it moves from air into water-refraction

Answer: C.) Light slows down when it moves from air into water.

Explanation: i hope this helps :)

During this acceleration, the rocket's engines produce an upward thrust force of F = 118,000 Newton.

Let us understand about acceleration.

Acceleration: the rate where the direction and speed of a moving object vary over time. A point or substance moving straight forward is pushed when it accelerates and decelerates. Regardless of whether the speed decreases, motion on the a circle accelerates so because direction is always shifting.

Is speed acceleration?

We refer to a change in an object's speed or direction as acceleration. The speed at which speed varies is known as acceleration. Keep in mind that velocity has two parts: direction and speed.

To know more about Acceleration visit:

brainly.com/question/12550364

#SPJ4

Answer:

1st one

identity of the H₂O

When water (H2O) freezes into ice, some of the properties have changed but the identity of the H2O is the same. Explanation; Water can exist in liquid, solid; ice and gaseous state; steam. Freezing occurs when water is continuously cool until it turns to solid ice, water freezes at zero degree Celsius

Hope This Helps

Answer:

A. identity of h20

Explanation:

Answer:

2.002 m

Explanation:

To find the acceleration of the car, we need to take the second derivative of the position function with respect to time:
The value of the coefficient c2 must be 1.5 m/s/s for the acceleration of the car to be 3m/s/s.
To find the value of the coefficient c2 given the acceleration of the car, we need to understand the relationship between position, velocity, and acceleration.
The position function of the car is given as x(t) = c2t² + c1t + c0, where c2, c1, and c0 are coefficients.
To find the acceleration, we need to first find the velocity function, which is the first derivative of the position function with respect to time:
v(t) = dx/dt = 2c2t + c1
Next, we find the acceleration function, which is the first derivative of the velocity function with respect to time:
a(t) = dv/dt = 2c2
The problem states that the acceleration of the car is 3 m/s². To find the value of c2, we set the acceleration function equal to this value:
3 m/s² = 2c2
Now, we solve for c2:
c2 = (3 m/s²) / 2 = 1.5 m/s²
So the value of the coefficient c2 must be 1.5 m/s².

Visit here to learn more about constant speed:

brainly.com/question/12888822

#SPJ11

To heat a 1200 sq ft house with natural gas, we spend a total of $14.40 per day.

How much it costs to heat a 1200 sq ft house with natural gas relies on a number of things, such as where the house is, how well it heats, and how much natural gas costs in that area.

Sources. says that the cost per square foot for natural gas with 40 BTU is $0.00049836 per square foot per hour. If our house is 1200 square feet, we multiply this cost by 1200 and get $0.60 per hour to heat it. That means that to heat a 1200 sq ft house with natural gas, we spend a total of $14.40 per day.

To know more about energy

https://brainly.com/question/13881533

#spj4                                                                                                                                                  

Answer:

(a) If the pupils have made an electric cell using two different metals and a lemon, the electric clock should start running. This is evidence that there is a flow of electric current from one metal to the other through the lemon. The current is generated by the chemical reaction between the metals and the lemon, which creates a potential difference (voltage) between them.

(b) To measure the voltage of their cells, the pupils should use a voltmeter. A voltmeter is an instrument that measures the potential difference (voltage) between two points in an electric circuit. In this case, the voltmeter should be connected to the two metal strips inserted into the lemon. The pupils can try different combinations of metals and lemons to see which pair of metals produces the highest voltage. They should make sure to use the same lemon for each measurement to ensure that the results are consistent.

Answer:

1) 2,641,895.5 m

2) 1.85903476 × 10⁻⁹ kg

3) 9.32 C

4) 38.7 kg

Explanation:

1) The gravitational force of attraction between the object and the mass of the Earth is given by the following formula;

\(F} =G\dfrac{M_{1} \cdot m_{2}}{R^{2}} = m_2 \times g\)

Where;

M₁ = The mass of the Earth = 5.97 × 10²⁴

m₂ = The mass of the object

G = The universal gravitational constant

R = The radius of the Earth = 6,378,100 m

g = The acceleration due to gravity = 9.8 m/s²

By comparison, we have;

\(\dfrac{G \cdot M_{1}}{R^{2}} = g\)

When the object is r meters away, g is halved, therefore, we have;

\(\dfrac{G \cdot M_{1}}{r^{2}} = \dfrac{g}{2} =\dfrac{G \cdot M_{1}}{\left (2\times R^{2}\right )}\)

Therefore, r² = 2·R² = 2 × (6,378,100 m)² = 8.13603192 × 10¹³ m²

r = √(8.13603192 × 10¹³ m²) = 9019995.52217 m

The distance of the object from the surface of the Earth = 9,019,995.52217 - 6,378,100 = 2,641,895.52217 m ≈ 2,641,895.5 m

The object needs to be approximately 2,641,895.5 m from the Earth's surface to experience half of the acceleration due to gravity experienced on the Earth's surface

2) The electrostatic force between the charges = k×q²/r²

Where;

q = 1.602 × 10⁻¹⁹ C

r = Distance between the charges

k = Coulomb constant = 8.9875517923 × 10⁹ kg·m³·s⁻²·C⁻²

We have;

The electrostatic force between the charges = 8.9875517923 × 10⁹ × (1.602 × 10⁻¹⁹)²/r²

The gravitational force between the charges = 6.67408 × 10⁻¹¹ × m²/r²

Given that the ratio between the two forces = 1, we have;

(8.9875517923 × 10⁹ × (1.602 × 10⁻¹⁹)²/r²)/(6.67408 × 10⁻¹¹ × m²/r²) = 1

∴ m² = (8.9875517923 × 10⁹ × (1.602 × 10⁻¹⁹)²)/(6.67408 × 10⁻¹¹) = 3.4560102×10⁻¹⁸ kg²

The mass m = √(3.4560102×10⁻¹⁸ kg²) = 1.85903476 × 10⁻⁹ kg

The mass of each particle will be 1.85903476 × 10⁻⁹ kg

3)  F = k×q²/r²

q² = F × r²/k

Which gives;

q² = 50 × 125000²/(8.9875517923 × 10⁹) ≈ 86.93 C²

q = √86.93 ≈ 9.32 C

The charges of each object = 9.32 C

4) \(F} =G\dfrac{m^2 }{r^{2}}\)

r = 0.25 cm = 0.0025 m

F = 0.016 N

G = 6.67408 × 10⁻¹¹ m³·kg⁻¹·s⁻²

Therefore;

m² = F·r²/G = 0.016 × (0.0025)²/(6.67408 × 10⁻¹¹) ≈ 1498.334 kg²

m = √(1498.334 kg²) ≈ 38.7 kg

The mass of each object = 38.7 kg.

The Coulomb and gravitational laws together with Newton's second law allow to find the results for the questions are:

    1) The distance where the acceleration of gravity measures half its value on earth is;  r’= 2.64 106 m

    2) The mass of the particle is:   m = 1.86 10-9 kg

    3) The charge of the particles is:   q = 9.32 C

    4) The mass is:   m = 38.7 kg

Part 1

The Universal Gravitational Law says that the force between two objects is proportional to their masses and inversely proportional to the square of their distance

     F =\(-G \frac{Mm}{r^2}\)  

Where F is the gravitational force, G the gravitational constant, M and m the mass of the two bodies and r the distance between them.

They ask to calculate the distance to the point where the acceleration is half that of the gravitation acceleration at the earth's surface.

            a = g / 2

If we use Newton's second law that gives the relationship between the net force, the mass and the acceleration of the body.

          F = m a

Let's substitute

        \(-G \frac{Mm}{r^2} = m \frac{g}{2}\)  

         r² = \(\frac{2GM}{g}\)  

Let's calculate

        r² = \(\frac{2 \ 6.67 \ 10^{-11} \ 5.97 \ 10^{24} }{9.8}\)  

        r = \(\sqrt{81.360 \ 10^{12}}\)  

        r = 9.02 10⁶ m

This is the distance from the center of the earth, the distance measured from the surface of the planet is

       r = R + r '

       r ’= r- R

       r ’= 9.02 10⁶ - 6.378 10⁶

       r’= 2.64 10⁶ m

Part 2

Coulomb's law states that the electric force between two charged bodies is:  

      F = \(k \frac{q_1q_2}{r^2}\)

Where q₁ and q₂ are the charges of the leather and k is the Coulomb constant

They ask what mass the particles must have so that the electrostatic force (Fe) and the gravitational force (Fg) have been equal

Indicate the charges of the particles q₁ = q₂ = 1.602 10⁻¹⁹ C

Let's equalize the two forces

     \(F_e = F_g \\k \frac{q_1q_2}{r^2} = G \frac{m_1m_2}{ r^2 } \\k q^2 = G m^2\)

     \(m = \sqrt{\frac{k}{G} } \ q\)  

     m = \(\sqrt{\frac{8.99 \ 10^9 }{ 36.67 \ 10^{-11}} } \ 1.602 \ 10^{-19}\)

     m =  \(\sqrt{1.3478 \ 10^{20} } \ 1.602 \ 10^{-19}\)  

    m = 1.86 10⁻⁹ kg

Part 3

They indicate that the electrostatic force between two objects is F = 50 N and the distance between them is r = 125 km = 125 103 m, they ask what is the charge of the objects.

Let's use Coulomb's law

        F = \(k \frac{q_1q_2}{r^2}\)  

        q² = \(\frac{F}{k} \ r^2\)  

        q² = \(\frac{50 \ (125 \ 10^3)^2 }{8.99 \ 10^9 }\)  

        q = \(\sqrt{86.93}\)  

        q = 9.32 C

Part 4

Indicate the gravitational force between two objects is F_g = -0.016 N when they are separateda distance  r = 0.25 cm = 0.25 10⁺² m, ask the mass of the bodies.

Let's use the law of universal gravitation.

      \(-G \frac{Mm}{r^2} \\m^2 = - \frac{F}{G} \ r^2\)

Let's calculate

      m² = \(- \frac{(-0.016) }{6.67 \ 10^{-11}} \ (0.25 \ 10^{-2})^2\)

     m = \(\sqrt{1498.33}\)  

     m = 38.7 kg

In conclusion using the Coulomb and gravitational laws together with Newton's second law we can find the results for the questions are:

   1) The distance where the acceleration of gravity measures half its value on earth is;  r’= 2.64 106 m

    2) The mass of the particle is:   m = 1.86 10-9 kg

    3) The charge of the particles is:   q = 9.32 C

    4) The mass is:   m = 38.7 kg

Learn more here:  brainly.com/question/12356144

The light reactions of photosynthesis are said to be similar to a battery because they form a current, the electrons would flow in this circuit as follows

H2O → Photosystem II → electron transport chain → Photosystem I → electron transport chain → NADPH

A chemical reaction is a process in which one or more substances, also known as reactants are converted to one or more different substances, known as products. A chemical reaction rearranges the constituent atoms of the reactants to create different substances as products.

Since photosynthesis generates a current, it is considered to be akin to a battery; in this circuit, the electrons would flow as follows.

H2O → Photosystem II → electron transport chain → Photosystem I → electron transport chain → NADPH

Learn more about chemical reactions,

brainly.com/question/22817140

#SPJ4

We have that the miss  distance  is mathematically given as

h= 0.76 m

Distance of miss

Question Parameters:

Generally the equation for the Time is mathematically given as

   t = d / v

Therefore

\(t = \frac{73.0 m}{ 185 m/s}\)            

 t = 0.39s              

Hence      

x = 1/2 g t^2    

x = 1/2 *9.8 * 0.39 s ^2        

x= 0.76 m  

For more information on  distance visit

https://brainly.com/question/989117

The correct option is c) centripetal force has no component in the direction of motion. Centripetal force does no work on a circularly-moving object because it has no component in the direction of motion.

Centripetal force is the force that compels a shift in direction of velocity towards the center of the circular motion. The component of the force which is vertical to the velocity is the part resulting in the centripetal force.

Gravity acts in the opposite direction of centrifugal force. The gravitational force attracts the thing to the earth's center. The centrifugal force acts radially outwardly, attempting to hurl the object away.

To know more about gravity, visit here:

https://brainly.com/question/4014727

#SPJ1

The volume of a sphere with radius r is V = (4/3)πr³, and the surface area of the sphere is S = 4πr². T

Given a sphere with radius r, the  answer is: The volume of the sphere is V = (4/3)πr³.

The surface area of the sphere is S = 4πr².

The volume of a sphere is the amount of space inside a sphere. To determine the volume of a sphere, we use the formula:V = (4/3)πr³Where "r" is the radius of the sphere.

So, the volume of the sphere is V = (4/3)πr³.

The surface area of a sphere is the sum of all of its surface areas. To determine the surface area of a sphere, we use the formula:S = 4πr²Where "r" is the radius of the sphere.

So, the surface area of the sphere is S = 4πr².\

In conclusion, the volume of a sphere with radius r is V = (4/3)πr³, and the surface area of the sphere is S = 4πr². The given sphere is a 3-dimensional object that has a circular boundary. To find the volume and surface area, we have used the above formulas, which involves only the radius "r" of the sphere.

To know more about volume of a sphere visit:

brainly.com/question/21623450

#SPJ11

Answer:

We can use the formula for the transformer voltage ratio, which states that the ratio of the number of turns in the primary coil to the number of turns in the secondary coil is equal to the ratio of the output voltage to the input voltage:

Np/Ns = Vp/Vs

where Np is the number of turns in the primary coil, Ns is the number of turns in the secondary coil, Vp is the input voltage, and Vs is the output voltage.

We know that Vp = 220 V and Vs = 140 V, and we are trying to find Ns. We also know that Np = 30, since that is the number of turns in the primary coil. Substituting these values into the formula, we get:

30/Ns = 220/140

Simplifying the right side of the equation, we get:

30/Ns = 11/7

Cross-multiplying, we get:

11Ns = 210

Dividing both sides by 11, we get:

Ns = 19

Therefore, the answer is b.) 19.

The value of the coefficient  is μ=0.18.

Find the value of this coefficient.​

The particles are in equilibrium, meaning the net force on them is zero.

Thus, repulsion due to their charge = friction due to the table.

As the equilibrium is limiting, friction reaches its maximum value.

\(\frac{kQ^{2} }{r^{2} }\)=μmg

\(k=9*10^{9} Nm^{2} C^{-2}\)The electrostatic constant \(Q=10^{-7} C\)  is the charge, and r=0.1m is the distance between the charges.

\(\frac{(9*10^{2})(10^{-7})^{2} }{(0.1)^{2} }\)=μ*\((5*10^{-3})(10)\)

Therefore, The answer is μ=0.18.

To learn more about friction, refer to:

https://brainly.com/question/24338873

#SPJ9

The final momentum of the skater is 3.77 m/s.

Momentum is the product of mass and acceleration. Recall that the principle of conservation of linear momentum states that total momentum before collision must equal the total momentum after collision.

Thus;

(50 Kg × 0 m/s) + (55Kg ×  7.2m/s) = (50 Kg + 55Kg) v

v =  (55Kg ×  7.2m/s)/(50 Kg + 55Kg)

v = 396/105

v = 3.77 m/s

Learn more about momentum:https://brainly.com/question/4956182

Answer:

Approximately \(3.01 \times 10^{-27}\; {\rm m}\) (when measured in a vacuum.)

Explanation:

Apply unit conversion and ensure that the mass of the baseball is in standard units (kilograms):

\(m = 145\; {\rm g} = 0.145\; {\rm kg}\).

The kinetic energy of the baseball will be:

\(\displaystyle E = \frac{1}{2}\, m\, v^{2}\),

Where \(v = 30.2\; {\rm m\cdot s^{-1}}\) is the speed of the baseball.

\(\begin{aligned}E &= \frac{1}{2}\, m\, v^{2} \\ &= \frac{1}{2}\, (0.145)\, (30.2)^{2}\; {\rm J} \\ &= 66.12290\; {\rm J}\end{aligned}\).

The energy of a photon of frequency \(f\) is:

\(E = h\, f\),

Where \(h \approx 6.62607 \times 10^{-34}\; {\rm m^{2}\cdot kg \cdot s^{-1}}\) is Planck's constant.

When measured in a vacuum where speed of light is \(c \approx 3.00 \times 10^{8}\; {\rm m\cdot s^{-1}}\), the wavelength \(\lambda\) of this photon will be:

\(\displaystyle \lambda = \frac{c}{f}\).

\(\displaystyle f = \frac{c}{\lambda}\).

Hence, the expression for the energy of this photon can be rewritten as:

\(\displaystyle E = h\, f = \frac{h\, c}{\lambda}\).

Rearrange this equation to find \(\lambda\):

\(\displaystyle \lambda &= \frac{h\, c}{E}\).

Assuming that the energy of this photon to be equal to the kinetic energy of that baseball, \(66.12290\; {\rm J}\):

\(\begin{aligned}\lambda &= \frac{h\, c}{E} \\ &\approx \frac{(6.62607\times 10^{-34})\, (3.00 \times 10^{8})}{(66.12290)}\; {\rm m} \\ &\approx 3.01 \times 10^{-27}\; {\rm m}\end{aligned}\).

Answer:

42°

Explanation:

From the question given above, the following data were obtained:

Refractive index (n) = 1.5

Critical angle (C) =?

The refractive index and the critical angle are related according to the following reaction:

n = 1 / Sine C

Thus, with the above formula, we can obtain the critical angle as follow:

Refractive index (n) = 1.5

Critical angle (C) =?

n = 1 / Sine C

1.5 = 1 / Sine C

Cross multiply

1.5 × Sine C = 1

Divide both side by 1.5

Sine C = 1 / 1.5

Sine C = 0.6667

Take the inverse of sine

C = Sine¯¹ (0.6667)

C = 41.8 ≈ 42°

Thus, the critical angle is approximately

42°.

The time for a steel ball to hit the ground when shot horizontally off a table is independent of the initial velocity, and the formula is \(d = v_i*t + (1/2)at^2\).

To decide the time it takes for a steel ball to stir things up around town when shot evenly off a table, we can utilize the conditions of movement, explicitly the kinematic condition:

\(d = v_i*t + (1/2)at^2\)

where:

d is the distance voyaged

v_i is the underlying speed

an is the speed increase

t is the time

We can expect that the speed increase is because of gravity, which is steady and equivalent to \(9.81 m/s^2.\)

Since the ball is shot on a level plane, its underlying vertical speed is zero. Accordingly, we can work on the situation to:

\(d = (1/2)at^2\)

Settling for t, we get:

t = sqrt(2*d/a)

To decide the distance voyaged, we can utilize the way that the ball will follow an explanatory direction and will stir things up around town simultaneously it would have taken to fall upward from a similar level. Hence, we can involve the condition for the time it takes for an item to in an upward direction fall:

t = sqrt(2*h/g)

where h is the level of the table and g is the speed increase because of gravity.

Utilizing the trial information, we can decide the level of the table and the distance the ball goes prior to stirring things up around town for every speed setting of the launcher. Then, we can work out the time it takes for the ball to stir things up around town involving the condition for t.

The time it takes for the ball to stir things up around town will be the equivalent no matter what the speed setting of the launcher, as long as the ball is shot evenly with a similar starting level. This is on the grounds that the underlying speed in the level bearing doesn't influence the time it takes for the ball to upward fall.

This outcome is steady with the way that the time it takes for an item to fall upward just relies upon the level and speed increase because of gravity. Hence, failing upward from the table top to the floor beneath would bring about a similar time it takes for the ball to raise a ruckus around town when shot evenly off the table.

To learn more about kinematics, refer:

https://brainly.com/question/15375616

#SPJ4

The complete question is:

If the steel ball is shot horizontally off the table, how much time would it take the ball to hit the ground for each of the velocity settings of the launcher? Explain your answer using the equations of motion and your experimental data. How does this relate to the ball being dropped vertically from the table top to the floor below.

The walker is walking at a uniform speed that is constant speed.

An object is considered to be moving with uniform speed when it covers the same distance in the same amount of time, as opposed to non-uniform speed when it covers different distances in the same amount of time. The distance-time graph has a steady slope. As a result, it demonstrates that the rate at which distance changes is constant. Thus, it depicts a constant speed. We refer to an object as travelling at a constant speed when its speed is constant and neither rises nor falls.

Learn more about Uniform speed here-

https://brainly.com/question/28040370

#SPJ9

The change in momentum of the bowling ball of mass 8.11 kg is 159.152 kgm/s.

The change in the momentum is equal to the product of the mass and the change in the velocity.

To calculate the change in momentum of the bowling ball, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the change in momentum of the ball is 159.152 kgm/s.

Learn more about momentum here: https://brainly.com/question/25121535

#SPJ1

Complete question: A force of 203 N is exerted on 8.11 -kg bowling ball over time span of 0.784 seconds. Calculate the change in momentum of the bowling ball

Kieran had a greater average speed than Jevon. Let us go into more detail in the explanation below. To compare the average speeds of Kieran and Jevon, we need to find out the speed of each person.

We can use the formula speed = distance/time. Kieran ran 8 laps in 18 minutes, which means he ran 8/18 = 0.44 laps per minute. To find out Kieran's speed, we need to multiply this by the length of one lap. If we assume that the length of one lap is 400 meters, then Kieran's speed is:0.44 laps per minute × 400 meters per lap = 176 meters per minute Jevon ran 6 laps of the track, but we don't know how long it took him.

Therefore, we can't calculate his speed directly. However, we can still compare his speed to Kieran's by using ratios. If we assume that Jevon ran the same length of track as Kieran, then we can write the following equation: Kieran's speed/Jevon's speed = Jevon's time/Kieran's time.

To know more about speed visit:

https://brainly.com/question/13318003

#SPJ11

"Of the various elements of composition, framing directly implies a point of view."

Framing is a compositional feature that explicitly conveys a point of view. These choices are deliberate and may affect how the audience understands the message and the subject.

Photographers make use of a variety of compositional factors to enhance and improve images. They include patterns, textures, lines, shapes, and forms as well as colour, tone, contrast, depth, frames, symmetry, and asymmetry as well as negative and positive space and visual strain.

The location from which you snap a picture is referred to as the viewpoint when discussing composition. By extrapolation, the viewpoint of the person viewing the image is also the viewpoint of the photographer. Simply shifting your position while taking the picture will allow you to alter your perspective.

To know more about framing:

https://brainly.com/question/15096011

#SPJ4

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Responder \;\;a}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

As galáxias são geralmente maiores do que os aglomerados de estrelas. Como disse Geller ~ As galáxias são como as cidades em que vivem os aglomerados de estrelas. As galáxias podem ter cerca de milhares ou mais aglomerados de estrelas ~

I hope it helps ~