Exam 3: Forces and Motion in One Dimension

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Find the tension in an elevator cable if the 1000-kg elevator is ascending with an acceleration of 1.2 m/s2, upward.

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As a car skids with its wheels locked trying to stop on a road covered with ice and snow, the force of friction between the icy road and the tires will usually be:

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A room has 110 ft2 of floor space. What is the approximate volume of the room? (You will need to make a reasonable estimate of a missing physical quantity.)

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A cue ball of weight W is falling with an acceleration downward of g/3 and speed v. What is the magnitude of the drag force on the ball at this moment?

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A stone is thrown downward from a cliff. Take "up" to be the positive direction. Which of the following statements is true about the stone?

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A speeding car traveling at a constant velocity of 24 m/s passes a police care initially at rest beside the roadway. If the police car with constant acceleration of A speeding car traveling at a constant velocity of 24 m/s passes a police care initially at rest beside the roadway. If the police car with constant acceleration of   immediately pursues the speeding car, how far down the road does it draw even with the speeding car? immediately pursues the speeding car, how far down the road does it draw even with the speeding car?

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A cart is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 4.0 m/s2. What is the magnitude of the cart's displacement during the first 6.0 s of its motion?

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The coefficient of friction between a racecar's wheels and the track is 1.0. The car starts from rest and accelerates at a constant rate for 300 m. Find the maximum speed at the end of the race.

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A ball rolls down an incline, starting from rest. If the total time it takes to reach the end of the incline is T, how much time has elapsed when it is halfway down the incline?

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Starting from rest, a car accelerates down a straight road with constant acceleration a1 for a time t1, then the acceleration is changed to a different constant value a2 for an additional time t2. The total elapsed time is t1 + t2. Can the equations for motion with constant acceleration be used to find the total distance traveled?

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A shot-putter moves his arm and the 7.0-kg shot through a distance of 1.0 m, giving the shot a velocity of 15 m/s from rest. Find the average force exerted on the shot during this time.

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A baseball batter hits an incoming 40 m/s fastball. The ball leaves the bat at 60 m/s after a ball-on-bat contact time of 0.030 s. What is the force exerted on the 0.15 kg baseball?

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The acceleration due to gravity on the Moon's surface is one-sixth that on Earth. What total force would be required to accelerate a 30-kg object at 6.0 m/s2 on the Moon?

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A rock is thrown straight down with an initial velocity of 17.5 m/s from a cliff. What is the rock's displacement after 2.0 s? (Acceleration due to gravity is 9.80 m/s2.)

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It is late and Carlos is sliding down a rope from his third floor window to meet his friend Juan. As he slides down the rope faster and faster, he becomes frightened and grabs harder on the rope, increasing the tension in the rope. As soon as the upward tension in the rope becomes equal to his weight:

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Human reaction time is usually about 0.20 s. If your lab partner holds a ruler between your finger and thumb and releases it without warning, how far can you expect the ruler to fall before you catch it? The nearest value is:

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John throws a rock down with speed 20 m/s from the top of a 30-m tower. If g = 9.8 m/s2 and air resistance is negligible, what is the rock's speed just as it hits the ground?

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At the top of a cliff 100 m high, Raoul throws a rock upward with velocity 20.0 m/s. How much later should he drop a second rock from rest so both rocks arrive simultaneously at the bottom of the cliff?

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A rock, released at rest from the top of a tower, hits the ground after 2.0 s. What is the speed of the rock as it hits the ground? (g = 9.8 m/s2 and air resistance is negligible)

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A cart of weight 60 N is accelerated across a level surface at 0.15 m/s2. What net force acts on the cart? (g = 9.8 m/s2)

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