Exam 3: Forces and Motion in One Dimension

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Norma releases a bowling ball from rest; it rolls down a ramp with constant acceleration. After half a second it has traveled 0.40 m. How far has it traveled after two seconds?

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A parachutist jumps out of an airplane and accelerates with gravity to a maximum velocity of 58.8 m/s in 6.00 seconds. She then pulls the parachute cord and after a 4.00-second constant deceleration, descends at 10.0 m/s for 80.0 seconds, reaching the ground. From what height did the parachutist jump?

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Three identical 6.0-kg cubes are placed on a horizontal frictionless surface in contact with one another. The cubes are lined up from left to right and a force is applied to the left side of the left cube causing all three cubes to accelerate to the right at 3.0 m/s2. What is the magnitude of the force exerted on the right cube by the middle cube in this case?

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A hockey puck moving at 8.0 m/s coasts to a halt in 75 m on a smooth ice surface. What is the coefficient of friction between the ice and the puck?

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Rita accelerates a 0.40-kg ball from rest to 12 m/s during the 0.15 s in which her foot is in contact with the ball. What average force does she apply to the ball during the kick?

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A string is attached to the ceiling. At the bottom of the string a rope of the same length as the string is attached. In the rope-string system, which of the following is the position of greatest tension? Assume the rope has more mass per unit length than the string.

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A drag racer starts from rest and accelerates at 8.0 m/s2 for the entire distance of 400 m (1/4 mile). What is the speed of the race car at the end of the run?

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If the drag force on a car is F at a moderate highway speed v, at what speed would the drag force be doubled?

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A cheetah can maintain its maximum speed of 100 km/hr for 35.0 seconds. What minimum distance must a gazelle running 80.0 km/hr be ahead of the cheetah to escape?

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As a basketball player starts to jump for a rebound, he begins to move upward faster and faster until he leaves the floor. During this time that he is in contact with the floor, the force of the floor on his shoes is:

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A European sports car dealer claims that his product will accelerate at a constant rate from rest to a speed of 100 km/hr in 9.00 s. What distance will the sports car travel during the 9.00 s acceleration period? (Hint: First convert speed to m/s.)

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Omar throws a rock down with speed 2.0 m/s from the top of a tower. The rock hits the ground after 2.0 s. What is the height of the tower? (air resistance is negligible)

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An elevator weighing 20,000 N is supported by a steel cable. What is the tension in the cable when the elevator is being accelerated upward at a rate of 2.00 m/s2? (g = 9.80 m/s2)

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A vehicle designed to operate on a drag strip accelerates from zero to 30 m/s while undergoing a straight line path displacement of 60 m. What is the vehicle's acceleration if its value may be assumed to be constant?

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A baseball catcher throws a ball vertically upward and catches it in the same spot when it returns to his mitt. At what point in the ball's path does it experience zero velocity and non-zero acceleration at the same time?

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A rock is thrown straight up with an initial velocity of 30.0 m/s.What maximum height will the rock reach before starting to fall downward? (Acceleration due to gravity is 9.80 m/s2.)

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A speeding car traveling at a constant velocity of v passes a police car initially at rest beside the roadway. If the police car with constant acceleration of a immediately pursues the speeding car, how long is it before the police car starts gaining on the speeding car?

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A Cessna aircraft has a liftoff speed of 120 km/hr. What minimum constant acceleration does this require if the aircraft is to be airborne after a takeoff run of 200 m?

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If the displacement of an object is given in SI units by Δ\Delta x = -5t + t 2, at t = 2 s its velocity and acceleration are, respectively: (Hint: Use dimensional analysis along with the equations for motion with constant acceleration.)

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Doug hits a hockey puck, giving it an initial velocity of 7.0 m/s. If the coefficient of kinetic friction between ice and puck is 0.050, how far will the puck slide before stopping?

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