Exam 3: Forces and Motion in One Dimension

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A karate master strikes a board with an initial velocity of 10.0 m/s, decreasing to 2.0 m/s as his hand passes through the board. If the time of contact with the board is 0.0020 s, and the mass of the coordinated hand and arm is 1.0 kg, what is the force exerted on the board?

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As a car moves forward on a level road at constant velocity, the total force acting on the tires is:

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A horizontal force of 750 N is needed to overcome the force of static friction between a level floor and a 250-kg crate. What is the acceleration of the crate if the 750-N force is maintained after the crate begins to move and the coefficient of kinetic friction is 0.16?

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There are six books in a stack, each with a weight of 3.0 N. The coefficient of friction between all the books is 0.20 as is the coefficient between the table and the bottom book. What horizontal push must I just exceed on the next to bottom book to start sliding the top five books off the bottom one?

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Two blocks of masses 20 kg and 8.0 kg are connected together by a light string and rest on a frictionless, level surface. Attached to the 20-kg mass is another light string, which a person uses to pull both blocks horizontally. If the two-block system accelerates at 0.50 m/s2 what is the tension in the connecting string between the blocks?

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Mt. Everest is more than 8000 m high. How fast would an object be moving if it could free fall to sea level after being released from an 8000 m elevation? (Ignore air resistance.)

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A man of weight A man of weight   is standing on the second floor and is pulling on a rope to lift a box of weight   from the floor below. The rope, which is of negligible weight, has tension   in it, but the pull of the rope is insufficient to lift the box off the floor. What is the magnitude of the normal force that the second floor exerts on the man in this situation? is standing on the second floor and is pulling on a rope to lift a box of weight A man of weight   is standing on the second floor and is pulling on a rope to lift a box of weight   from the floor below. The rope, which is of negligible weight, has tension   in it, but the pull of the rope is insufficient to lift the box off the floor. What is the magnitude of the normal force that the second floor exerts on the man in this situation? from the floor below. The rope, which is of negligible weight, has tension A man of weight   is standing on the second floor and is pulling on a rope to lift a box of weight   from the floor below. The rope, which is of negligible weight, has tension   in it, but the pull of the rope is insufficient to lift the box off the floor. What is the magnitude of the normal force that the second floor exerts on the man in this situation? in it, but the pull of the rope is insufficient to lift the box off the floor. What is the magnitude of the normal force that the second floor exerts on the man in this situation?

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The acceleration due to gravity on the Moon's surface is one-sixth that on Earth. An astronaut's life support backpack weighs 240 lb on Earth. What does it weigh on the Moon?

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A baseball is released at rest from the top of the Washington Monument. It hits the ground after falling for 5.0 s. What was the height from which the ball was dropped? (g = 9.8 m/s2 and assume air resistance is negligible)

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Hector drives a pickup truck horizontally at 15.0 m/s. He is transporting a crate of delicate lead crystal. If the coefficient of static friction between the crate and the truck bed is 0.300, what is the minimum stopping distance for the truck so the crate will not slide?

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Starting from rest, a car accelerates down a straight road with constant acceleration a for a time t, then the direction of the acceleration is reversed, i.e., it is -a, and the car comes to a stop in an additional time t, the time for the whole trip being 2t. At what time, or times, is the average velocity of the car for the trip equal to its instantaneous velocity during the trip?

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A water rocket, launched from the ground, rises vertically with acceleration of 20 m/s2 for 1.0 s when it runs out of "fuel." Disregarding air resistance, how high will the rocket rise?

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Gwen releases a rock at rest from the top of a 50-m tower. If g = 9.8 m/s2 and air resistance is negligible, what is the speed of the rock as it hits the ground?

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A physics class in a large lecture hall has 15 students. The total mass of the students is about _____ kg. (You will need to make a reasonable estimate of a missing physical quantity.)

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As a 3.0-kg bucket is being lowered into a 10-m deep well, starting from the top, the tension in the rope is 19.6 N. The acceleration of the bucket will be:

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A 70.0-kg man jumps 1.00 m down onto a concrete walkway. His downward motion stops in 0.04 seconds. If he forgets to bend his knees, what force is transmitted to his leg bones?

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Three identical 3.0-kg cubes are placed on a horizontal surface in contact with one another. The cubes are lined up from left to right and an 18-N force is applied to the left side of the left cube causing all three cubes to accelerate to the right. If the cubes are each subject to a frictional force of 3.0 N, what is the magnitude of the force exerted on the right cube by the middle cube in this case?

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A block of mass 5.00 kg rests on a horizontal surface where the coefficient of kinetic friction between the two is 0.200. A string attached to the block is pulled horizontally, resulting in a 3.00 m/s2 acceleration by the block. Find the tension in the string. (g = 9.80 m/s2)

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A horizontal force of 1000 N is needed to overcome the force of static friction between a level floor and a 250-kg crate. If g = 9.8 m/s2, what is the coefficient of static friction?

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Suppose the position of a particle is given by Suppose the position of a particle is given by   in SI units. What are the initial velocity and the acceleration of the particle? in SI units. What are the initial velocity and the acceleration of the particle?

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