Answer:
Answer is A
Explanation:
Which of these is not method of preventing the corrosion of metals?
A. galvanising
B. painting
C. plating
D. rusting
Answer:
D. rusting is answer....
balance 2 was affected most by systemic error - error that has a very specific cause or pattern. look again at the measurements from balance 2. what do you notice? the measurements are the same except for the last number. calculate the difference between the actual mass and the measured masses. enter your answer to two decimal places (example: 8.37).
Balance 2 was affected most by a systemic error, which means that the error had a specific cause or pattern. When we look at the measurements from balance 2, we notice that all the measurements are the same except for the last number.
This suggests that the error occurred consistently throughout the measurements, but was most pronounced in the last one.
To calculate the difference between the actual mass and the measured masses, we can subtract the measured mass from the actual mass. For example, if the actual mass is 10 grams and the measured mass is 9.5 grams, the difference would be 0.5 grams.
We should calculate this difference for all the measurements from balance 2 to get a better idea of the extent of the systemic error.
Overall, it is important to identify and address systemic errors in order to ensure accurate and reliable measurements. By paying attention to patterns and discrepancies in our measurements, we can improve the quality and validity of our scientific research.
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A certain superconducting magnet in the form of a solenoid of length 0.500 m can generate a magnetic field of 9.00 T in its core when its coils carry a current of 75.0 A. a) Find the number of turns in the solenoid. b) If a single proton is shot into one end of the solenoid such that it is originally traveling along the central axis, what direction would the force on the proton from the magnetic field be pointed in (if it acts on the proton at all)? (10 pts)
a) The number of turns in the solenoid is approximately 206.
How many turns are there in the solenoid?To determine the number of turns in the solenoid, we can use the formula for the magnetic field inside a solenoid, which is given by B = μ₀nI, where B is the magnetic field, μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current.
Rearranging the formula, we have n = B / (μ₀I). Substituting the given values of B = 9.00 T and I = 75.0 A, and using the value of μ₀, we can calculate the number of turns per unit length. Multiplying it by the length of the solenoid (0.500 m) gives us the total number of turns in the solenoid, which is approximately 206.
A solenoid is a coil of wire wound in a helical shape. When a current flows through the coils, it creates a magnetic field along the axis of the solenoid. The strength of the magnetic field depends on factors such as the number of turns per unit length and the current flowing through the solenoid.
In this case, we are given the magnetic field and current, and we use the formula for the magnetic field inside a solenoid to calculate the number of turns. The higher the number of turns, the stronger the magnetic field generated by the solenoid.
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9. During an egg toss, a catcher must cushion the egg by maximizing the time it takes to stop the
egg. Find the impulse applied to a 60.0-gram egg, if the egg has an initial velocity of 6.0 m/s as it
first touches the catcher's hand, and the egg is stopped within 50.0 cm.
Answer:
the impulse experienced by the egg is 0.053 kgm/s.
Explanation:
Given;
mass of the egg, m = 60 g = 0.06 kg
initial velocity of the egg, u = 6 m/s
height moved by the egg, h = 50 cm = 0.5 m
Determine the final velocity of the egg as it moves upward;
v² = u² + 2(-g)h
v² = u² - 2gh
where;
v is the final velocity
-g is negative acceleration due gravity as it moves upward
v² = 6² - 2(9.8 x 0.5)
v² = 26.2
v = √26.2
v = 5.12 m/s
The impulse applied to the egg is the change in linear momentum;
J = ΔP
ΔP = mu - mv
ΔP = m(u - v)
ΔP = 0.06(6 - 5.12)
ΔP = 0.053 kgm/s
Therefore, the impulse experienced by the egg is 0.053 kgm/s.
a vibrating diaphragm sets up strong vibrations at the mouth of a horizontal tube containing air and a small amount of fine powder. the powder becomes arranged in piles i cm apart, and the speed of sound in air is 330 meters
the wavelength of this sound in air is:
(the answer is 2cm howd we get hereeee)
A sound is moving through the atmosphere at a velocity of 343 ms-1. The sound wave has a wavelength of 0.1 cm.
Sound in the air is what kind of wave?Longitudinal waves are what make up sound. Compressions and rarefactions are also present in longitudinal waves when they pass through any given medium. When particles travel in close proximity to one another, compression occurs, creating areas of intense pressure.
What is the air wavelength formula?As with all waves, the relationship between the speed of sound (vw), its frequency (f), and its wavelength () is provided by vw=f. vw=(331m/s)T273K describes how the sound's velocity in the air relates to air temperature T. For any and all frequencies and wavelengths, vw is constant.
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Which of the following is a subatomic particle?
Particle
Atom
Neutron
Element
Answer:
neutron.
Explanation:
subatomic particles include,
neutron.
proton.
electron.
hope it helps. :)
Does water pressure depend on the total amount of water present?
(Will pick brainliest)
Answer:
No, because pressure is determined by force and the area over which that force acts.
Explanation:
If a weight of 150N is applied on a surface of area 5 sq.m. , calculate the pressure acting on the surface.
Answer:
P = F / A definition of pressure
P = 150 N / 5 m^2 = 30 N/m^2
Which of the following is an example of a contractile source of motion restriction?
An example of a contractile source of motion restriction is the contraction of muscles in the human body.
Muscles in the human body play a crucial role in generating movement and controlling motion. Through the process of contraction, muscles have the ability to restrict or limit motion at specific joints, acting as a contractile source of motion restriction.
When muscles contract, they exert a pulling force on the bones they are connected to, resulting in movement at the joints. This contraction is achieved through the interaction of actin and myosin filaments within the muscle fibers. When a signal from the nervous system triggers muscle activation, calcium ions are released, allowing the actin and myosin filaments to slide past each other. This sliding motion generates force, causing the muscle fibers to shorten and contract.
By selectively contracting specific muscles, it is possible to restrict or limit motion at certain joints. For example, when you contract your bicep muscle, it restricts the motion at the elbow joint, causing the arm to bend. Similarly, when you contract your quadriceps muscles, they restrict the motion at the knee joint, allowing you to extend or straighten your leg.
In summary, the contraction of muscles serves as a contractile source of motion restriction. Through their ability to generate force and control joint movement, muscles play a crucial role in enabling and regulating various motions in the human body.
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would this be Newtons 1st, 2nd, or 3rd law
Answer:
Newton's First Law of Motion.
Explanation:
Newton's First Law of Motion states that a body continues its state of motion untill and unless an external force acts on it. Here, the truck moves forward even after the breaks are applied in order to maintain its State of motion.
HELP!!!What type of image is formed by a lens if m=-0.87?
A. The image is smaller than the object and is real
B. The image is smaller than the object and is virtual
C. The image is larger than the object and is virtual
D. The image is larger than the object and is real
Answer:
the images is smaller than the object and is real.
answer A
Explanation:
What is a source of a Sound wave???
Answer:
A sound wave is the pattern of disturbance caused by the movement of energy traveling through a medium such as air, water, or any other liquid or solid matter, as it propagates away from the source of the sound. The source is some object that causes a vibration, such as a ringing telephone, or a person's vocal chords.
Explanation:
What type of structure is the dancing house? (frame structure solid structure etc) pls tell me
The type of structure that the dancing house has is a solid deconstructive structure owing to its unusual shape.
The river-facing building rises as a solid cylindrical concrete volume on the corner, where it connects with the steel and glass building. This is followed by a bigger façade that faces the river and is built on a base of 99 precast concrete panels and many windows.
Because to its odd shape, the architectural style is known as deconstructivist (or "new baroque" to the designers). 99 concrete panels with varying sizes and shapes support the "dancing" shape. There is a huge metal structure at the top of the building known as Medusa.
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A convex spherical mirror has a radius of curvature of magnitude 38.0 cm.
(a) Determine the position of the virtual image and the magnification for object distances of 33.0 cm. (Indicate the location of the image with the sign of your answer.)
image location cm
magnification (b) Determine the position of the virtual image and the magnification for object distances of 43.0 cm. (Indicate the location of the image with the sign of your answer.)
image location 3 cm
magnification 4
(c) Are the images in parts (a) and (b) upright or inverted?
The image in part (a) is 5---
The image in part (b) is 6---
A convex spherical mirror has a radius of curvature of magnitude 38.0 cm. We have calculated the position of the virtual image and the magnification for object distances of 33.0 cm and 43.0 cm. The images formed are virtual, and the image formed is erect.
A convex spherical mirror has a radius of curvature of magnitude 38.0 cm. The position of the virtual image and the magnification for object distances of 33.0 cm are:
Image location: 22.5 cm
Magnification: 0.58
The magnification formula is given by:
magnification = -v / u
Where ,-u is the object distance-v is the image distance for a concave mirror (negative for virtual image)-v is the image distance for a convex mirror (positive for virtual image)
Therefore, -u = -33 cm
33 cm (as the object is on the same side as the virtual image and the center of curvature)-v
33 = 1 / f (where f is the focal length of the convex mirror, which is half the radius of curvature)
v / 33 = 1 / (38/2)
v / 33 = 0.0263
v = 0.0263
33 = 0.868 cm (up to three significant figures)-
087 cm
The position of the virtual image is 0.87 cm in front of the mirror. Since the image is virtual, it is formed behind the mirror. Therefore, the sign of the answer is negative. Magnification is given by:
magnification = -v / u= -0.868
33= -0.0263
Magnification is equal to -0.0263.
The position of the virtual image and the magnification for object distances of 43.0 cm are:
Image location: 31.4 cm
Magnification: 0.93The magnification formula is given by:
magnification = -v / u
Where, -u is the object distance-v is the image distance for a concave mirror (negative for virtual image)-v is the image distance for a convex mirror (positive for virtual image)
Therefore, -u = -43 cm (as the object is on the same side as the virtual image and the center of curvature)-v / 43 = 1 / f (where f is the focal length of the convex mirror, which is half the radius of curvature)
v / 43 = 1 / (38/2)-v / 43
0.0263-v
0.0263 × 43 1.13 cm (up to three significant figures)
v ≈ 1.13 cm
The position of the virtual image is 1.13 cm in front of the mirror. Since the image is virtual, it is formed behind the mirror. Therefore, the sign of the answer is negative. Magnification is given by: magnification
v / u= -1.13 / 43
-0.0263
Magnification is equal to -0.93. The images in parts (a) and (b) are upright, as the magnification is less than 1. They are virtual, and the image formed is erect. Hence, the answer is as follows:
Image location: -0.87 cm
Magnification: -0.0263
Image location: -1.13 cm
Magnification: -0.93
A convex spherical mirror has a radius of curvature of magnitude 38.0 cm. We have calculated the position of the virtual image and the magnification for object distances of 33.0 cm and 43.0 cm. The images formed are virtual, and the image formed is erect. The images in parts (a) and (b) are upright, as the magnification is less than 1.
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t a coal-burning power plant a steam turbine is operated with a power output of 518 MW. The thermal efficiency of the power plant is 40 % . You may want to review (Pages 633 - 637) Part A At what rate is heat discarded to the environment by this power plant? Express your answer using two significant figures. | ΑΣΦ ? Δ.Ο. At MW Submit Request Answer Part B At what rate must heat be supplied to the power plant by burning coal? Express your answer using two significant figures.
Part A: To determine the rate at which heat is discarded to the environment by the power plant, we need to calculate the heat input to the power plant and then subtract the useful work output.
Given:
Power output of the steam turbine = 518 MW
Thermal efficiency of the power plant = 40% or 0.40
The thermal efficiency is defined as the ratio of the useful work output to the heat input:
Thermal efficiency = (Useful work output) / (Heat input)
Rearranging the equation, we can solve for the heat input:
Heat input = (Useful work output) / (Thermal efficiency)
Calculations:
Heat input = (518 MW) / (0.40) = 1295 MW
Since the thermal efficiency represents the fraction of the heat input that is converted into useful work, the remaining fraction is the heat discarded to the environment:
Heat discarded = Heat input - Useful work output
Heat discarded = 1295 MW - 518 MW = 777 MW
Therefore, the rate at which heat is discarded to the environment by this power plant is approximately 777 MW.
Part B: To determine the rate at which heat must be supplied to the power plant by burning coal, we use the thermal efficiency and the heat input calculated in Part A.
Heat input = 1295 MW
Therefore, the rate at which heat must be supplied to the power plant by burning coal is approximately 1295 MW.
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write dimention of plane angle work resistance density torgue
Torque : ML^2T^–2
Density : ML^–3
Work : ML^2T^–2
Plane angle: dimensionless quantity
Resistance : M^1 L^2 T^-3 I^-2
How do collisions between molecules transfer energy from a system of reacting substances to its surroundings
Answer:
They cause heat to flow from the system to the surroundings.
When power and current are known use R = P/I^2 to calculate the resistance.
P = 300 watts
C = 30amps
R = ?
R = resistance, P = Power, 1 = Current
\( \sf• \: Power \:( P) = 300 \: watts\)
\( \sf• \: Current \: (I) = 30 \: amps\)
\( \\ \)
\(\bf{ \underline{To \: Find:- }}\)\( \sf• \: The \: Resistance \)
\( \\ \)
\( \huge\bf{ \underline{Solution :-:- }}\)
\( \bf \red {\bigstar{ Formula \: of \: Power \: (P) = \frac{ {I}^{2} }{R}}}\)
\( \sf \rightarrow 300= \frac{ {30}^{2} }{ R} \)
\( \sf \rightarrow 300 = \frac{900}{ R} \)
\( \rightarrow \sf R = \frac{300}{900} \)
\( \rightarrow \sf R = \frac{1}{3} \)
\( \rightarrow \sf R = 0.33\)
\( \bf \purple{Hence, \: the \: resistance \: is \: 0.33 \: Ω \: . }\)
A peron ha a weight if 800N in an elevator that a econd with an acceleration of 5m/. What i the reading on the cale of the elevator
The scale in the moving elevator will read 1200 N. The result is obtained by using Newton's second law.
What is Newton's second law?The Newton's second law states that "The acceleration is directly proportional to the net force acting on an object and inversely proportional to the object's mass." It can be expressed as
a = ∑F/m
or
∑F = ma
Where
∑F = net forcea = accelerationm = object's massIn an elevator, a person has a weight of 800 N. It moves with acceleration of 5 m/s². Find the scale read!
We use g = 10 m/s².
The mass of the person is
W = mg
800 = m(10)
m = 80 kg
The acceleration is positive. So, we assume that the elevator is travelling upward with acceleration of a. By using Newton's second law, we'll get
∑F = ma
N - W = ma
N = W + ma
N = 800 + 80(5)
N = 800 + 400
N = 1200 N
Hence, in the moving elevator, the scale will read 1200 N.
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5. What is one difference between landslides and mudflowes?
A. Mudflows are caused by gravity.
B. Landslides can occur on gental slopes.
C. Mudflows can occur on gentle slopes.
D. Landslides occur suddenly.
The difference between landslides and mudflows is mudflows are caused by gravity. The correct option is option A.
LandslidesLandslides are caused by disturbances in the natural stability of a slope. A landslide is defined as the movement of a mass of rock, debris, or earth down a slope.
The impact of a landslide can be extensive, including loss of life, destruction of infrastructure, damage to land and loss of natural resources. Landslide material can also block rivers and increase the risk of floods.
MudflowsIt is a form of mass wasting involving fast moving flow of debris and dirt that has become liquefied by the addition of water. A river of liquid and flowing mud on the surfaces of normally dry land areas, as when earth is carried by a current of water.
They can happen after heavy rains, droughts, earthquakes or volcanic eruptions.
They are both examples of natural disaster.
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If the car's velocity were doubled, what would happen to the time the car
falls as compared to the time the ball falls?
The time it takes for the car to fall from a certain height would not be affected by the time it takes for the ball to fall, even if the car's velocity were doubled.
If the car's velocity were doubled, the time it takes for the car to fall would not be affected by the time it takes for the ball to fall. This is because the time taken for an object to fall from a certain height is determined by the acceleration due to gravity and the distance from the ground, but not by the object's initial velocity.
The acceleration due to gravity is constant, which means that the time taken for an object to fall a certain distance is also constant. This means that the time taken for the ball to fall and the car to fall from the same height would be the same, regardless of the car's velocity.
This can be explained by the equation of motion for a falling object:
d = 1/2gt²,
where d is the distance from the ground, g is the acceleration due to gravity, and t is the time taken to fall.
Since the acceleration due to gravity is constant, the time taken for the car and the ball to fall the same distance would be the same, regardless of their initial velocity.
Therefore, if the car's velocity were doubled, the time it takes for the car to fall would be the same as before, but it would be moving faster when it hits the ground.
In conclusion, the time it takes for the car to fall from a certain height would not be affected by the time it takes for the ball to fall, even if the car's velocity were doubled.
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A relaxed spring of length 0.18 m stands vertically on the floor; its stiffness is 1130 N/m. You release a block of mass 0.6 kg from rest, with the bottom of the block 0.4 m above the floor and straight above the spring. How long is the spring when the block comes momentarily to rest on the compressed spring
When the block comes momentarily to rest on the compressed spring, the length of the spring is approximately 0.125 m.
To calculate the length of the spring when the block comes momentarily to rest on the compressed spring, we can use the principle of conservation of mechanical energy.
Let's denote the initial potential energy of the block \(\(U_i\)\) and the final potential energy of the block-spring system \(\(U_f\)\). The initial potential energy of the block is given by:
\(\[U_i = mgh\]\)
where \(\(m\)\) is the mass of the block (0.6 kg), \(\(g\)\) is the acceleration due to gravity \((9.8 m/s\(^2\))\), and \(\(h\)\) is the initial height of the block above the floor (0.4 m).
The final potential energy of the block-spring system is given by:
\(\[U_f = \frac{1}{2}kx^2\]\)
where \(\(k\)\) is the stiffness of the spring (1130 N/m) and \(\(x\)\) is the compression or elongation of the spring from its equilibrium position.
According to the conservation of mechanical energy, we have \(\(U_i = U_f\)\), so:
\(\[mgh = \frac{1}{2}kx^2\]\)
Solving for \(\(x\)\), we get:
\(\[x = \sqrt{\frac{2mgh}{k}}\]\)
Substituting the given values, we have:
\(\[x = \sqrt{\frac{2 \times 0.6 \times 9.8 \times 0.4}{1130}}\]\)
Calculating this expression:
\(\[x \approx 0.055 \, \text{m}\]\)
Finally, to determine the length of the spring when the block comes momentarily to rest on the compressed spring, we subtract the compression from the original length of the spring:
\(\[0.18 \, \text{m} - 0.055 \, \text{m} = 0.125 \, \text{m}\]\)
Therefore, when the block comes momentarily to rest on the compressed spring, the length of the spring is approximately 0.125 m.
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What is the speed of a rocket that travels 9,000 meters in 12 seconds?
A. 0.001 seconds
B. 750 seconds
C.750 m/s
D. 108,000 m/s
Answer:
750 m/sExplanation:
The speed of the rocket can be found by using the formula
\(v = \frac{d}{t} \\ \)
d is the distance
t is the time taken
From the question we have
\(v = \frac{9000}{12} \\ \)
We have the final answer as
750 m/sHope this helps you
Answer:750m/s
Explanation:I got 750m/s :D Hopefully this helped! lol
When was World War 3 Started?
Answer:
Korean War: 25 June 1950 – 27 July 1953
Many then believed that the conflict was likely to soon escalate into a full-scale war between the three countries, the US, the USSR, and China. CBS war correspondent Bill Downs wrote in 1951 that, "To my mind, the answer is: Yes, Korea is the beginning of World War III.
Explanation:
Answer:
1950-1953
Explanation:
What is the maximum speed when the conditions are mass =450 kg, initial height= 30 m, and the roller coaster is initially at rest?
A. 30 m/s
B. 24.2 m/s
C. 93.9 m/s
D. 132, 300 m/s
Answer:
B. 24.2 m/s
Explanation:
Given;
mass of the roller coaster, m = 450 kg
height of the roller coaster, h = 30 m
The maximum potential energy of the roller coaster due to its height is given by;
\(P.E_{max} = mgh\\\\PE_{max} = 450 *9.8*30\\\\PE_{max} = 132,300 \ J\)
\(P.E_{max} = K.E_{max} \ (law \ of \ conservation\ of \ energy)\)
\(K.E_{max} = \frac{1}{2}mv_{max}^2\\\\ v_{max}^2 = \frac{2K.E_{max}}{m}\\\\ v_{max}^2 = \frac{2*132300}{450}\\\\ v_{max}^2 =588\\\\v_{max} = \sqrt{588}\\\\ v_{max} = 24.2 \ m/s\)
Therefore, the maximum speed of the roller coaster is 24.2 m/s.
Answer:
1. 24.2 m/s
2. 20.4 m
3. 22.5 m/s
4. 109,375 J
5. It is easy to calculate new scenarios.
Explanation:
5/5 on the Maximum Energy Quick Check
If the consumer price index (CPI) is 220 one year and 210 the next, the annual rate of inflation as measured by the CPI is approximately a. 220 percent c.-4.6 percent d.-2.3 percent e 10 percentA 40.0-N force stretches a vertical spring 0.250 m. (a) What mass must be suspended form the spring so that the system will oscillate with a period of 1.0 s? (b) If the amplitude of the motion is 0.050 m and the period is that specified in part (a) where is the object and in whatdirection is it moving 0.35 s after it has passed the equilibrium position, moving downward? Take the positive direction to beupward. (c) What force (magnitude and direction) does the spring exert onthe object when it is 0.030 m below theequilibrium position, moving upward? I need help with part B and C, the text book solution didnt help me
In part (b) of the problem, we need to determine the position and direction of an object attached to a spring 0.35 seconds after passing the equilibrium position, given an amplitude of 0.050 m and a period of 1.0 second. In part (c), we need to find the force exerted by the spring on the object when it is 0.030 m below the equilibrium position and moving upward.
(b) To determine the position and direction of the object 0.35 seconds after passing the equilibrium position, we need to understand the nature of simple harmonic motion. The object attached to the spring oscillates sinusoidally, so at any given time, its position can be described by the equation:
x = A * sin(2πt/T)
where x is the displacement from the equilibrium position, A is the amplitude, t is the time, and T is the period. Plugging in the values A = 0.050 m and T = 1.0 s, we can calculate the position at 0.35 seconds. However, to determine the direction of motion, we also need to consider the phase. If the object is moving downward at the equilibrium position, it will continue moving downward 0.35 seconds later.
(c) To find the force exerted by the spring when the object is 0.030 m below the equilibrium position and moving upward, we need to consider Hooke's law for springs. The force exerted by the spring is given by:
F = -kx
where F is the force, k is the spring constant, and x is the displacement from the equilibrium position. Since the object is 0.030 m below the equilibrium position and moving upward, the displacement x is negative. Plugging in the values and taking into account the negative sign, we can calculate the magnitude and direction of the force exerted by the spring.
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13. An object of mass \(30 \mathrm{~kg}\) is falling in air and experiences a force due to air resistance of 50 newtons.
a. Determine the net force acting on the object and
b. calculate the accelerâtion of the object.
Answer:
\(250\; {\rm N}\) (downwards.)
Approximately \(8.3\; {\rm m\cdot s^{-2}}\)
(Assuming that the gravitational field strength is \(g \approx 10\; {\rm m\cdot s^{-2}}\).)
Explanation:
Note that \(1\; {\rm kg \cdot m\cdot s^{-2}} = 1\; {\rm N}\).
There are two forces on this object:
weight (downward), andair resistance (upwards.)Let \(g\) denote the gravitational field strength. The weight of an object of mass \(m\) will be \(m\, g\).
In this example, since \(m = 30\; {\rm kg}\) and \(g \approx 10\; {\rm m\cdot s^{-2}}\) around the surface of the earth. The weight of this object will be:
\(\begin{aligned}m\, g &\approx (30\; {\rm kg})\, (10\; {\rm m\cdot s^{-2}}) \\ &= 300\; {\rm kg \cdot m\cdot s^{-2}} \\ &= 300\; {\rm N}\end{aligned}\).
The air resistance on this object is given to be \(50\; {\rm N}\) (upwards.) Since the two forces are in opposite directions, the magnitude of the resultant force on the object will be the difference between their magnitudes:
\(\begin{aligned} &(\text{resultant force}) \\ &= (\text{weight}) - (\text{resistance}) \\ & \approx (300\; {\rm N}) - (50\; {\rm N}) \\ &= 250\; {\rm N}\end{aligned}\).
(Downwards.)
Divide the resultant force on the object by the mass \(m\) of the object to find the acceleration of the object:
\(\begin{aligned}& (\text{acceleration}) \\ &= \frac{(\text{resultant force})}{(\text{mass})} \\ &\approx \frac{250\; {\rm N}}{30\; {\rm kg}} \\ &= 8.3\; {\rm m \cdot s^{-2}}\end{aligned}\).
Bobby does work to climb to the top of a 7 m hill. If Bobby and his sled have a combined mass of 45 kg, howmuch Potential Energy will Bobby have at the top of the hill? (Ignore friction in this problem.)
Take into account that the potential energy is given by the following formula:
U = m·g·h
where
m: mass = 80 kg
g: gravitational acceleration constant = 9.8m/s²
h: height = 7 m
Replace the previous values into the expression for the potential energy U:
U = (80 kg)(9.8 m/s²)(7 m)
U = 5,488 J
Hence, Bobby will have a potential enrgy of 5,844 J when he is a the top of a 7 m hill.
a car is driving down the road at 20.0 m/s when the driver sees a stop sign 15.0 m ahead. the car slows down at a uniform rate and stops exactly at the stop sign. a) what is the car's acceleration? b) how much time does is take the car to stop? remember to draw a picture of the situation.
(a) The acceleration of the car beforeit comes to stop is 40/3 m/s² or 13.33 m/s² (b) The time it takes the car to stop is 1.5 s
What is acceleration?
This can be defined as the rate of change of velocity.
(a) To calculate the acceleration of the car, we use the formula below.
Fromula:
v² = u²+2as......... Equation 1Where:
v = Final velocity = 0 m/su = Initial velocity = 20 m/ss = Distance = 15 ma = Acceleration = ?Substitute into equation 1 and solve for a
0² = 20²+2×15×a0-400 = 30a30a = -400a = -400.30a = -40/3 or -13.33 m/s²(b) To calculate the time it takes the car to stop, we use the formula below.
t = (v-u)/at = (0-20)/(-40/3)t = 1.5 sHence, the acceleration of the car is -40/3 m/s² and the time it takes the car to stop is 1.5 s
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Convert the heat of neutralization of acetic acid from -51 kj/mmol to calories per millimole and ROUND TO ONE DECIMAL PLACE (1 cal = 4.184 J)
The heat of neutralization of acetic acid from -51 kj/mmol to calories per millimole is 12189.3 cal/mmol.
What is the heat of neutralization of a substance?The heat of neutralization of a substance is the amount of heat given off when one mole of water is produced from the reaction of an acid and a base.
The heat of neutralization of different acids and bases varies.
The heat of neutralization of acetic acid is given as -51 kj/mmol.
This means that 51 kJ of heat is given when 1 mmole of acetic acid reacts with a base to form water.
To convert the heat of neutralization of acetic acid from -51 kj/mmol to calories per millimole, we use the conversion factor between energy in Joules and energy in calories.
The conversion factor is given below:
1 cal = 4.184 Joules
51 kJ = 51000 Joules
51000 Joules = 51000 * 1 cal / 4.184 Joules
51000 Joules = 12189.3 calories
Hence, the heat of neutralization in cal/mmol is 12189.3 cal/mmol
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