A bowling ball is lifted from rest onto a shelf by an external agent (position is in meters and time is in seconds). Rank the paths by the the amount of work done by gravity on the bowling ball.

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Start animation 4

A bowling ball is lifted from rest onto a shelf by an external agent (position is in meters and time is in seconds). Rank the paths by the the amount of work done by the external agent on the bowling ball.

Start animation 1

Start animation 2

Start animation 3

Start animation 4

A 12 kg box slides up a 30^o frictionless ramp at constant speed as shown in the animation  (position is in meters and time is in seconds). Note that both gravity and the hand do work on the box. What is the work done on the box by the external force (hand) and the total work done on the box during the animation? Start

Interactive Hint

A 12 kg box slides down a 30^o frictionless ramp at constant speed as shown in the animation  (position is in meters and time is in seconds). Note that both gravity and the hand do work on the box. What is the work done on the box by the external force (hand) and the total work done on the box during the animation? Start

A 2 kg hammer strikes a 1.5 gram nail as shown in the animation (position given in centimeters and time is in seconds). Determine the average force exerted on the nail by the hammer.   Start

A mass of 2 kg is in a rather large bowl and moves as depicted in the above animation (mouse click for position given in meters and time is in seconds). Determine the velocity of the mass at the bottom of the bowl.   Start

Determine the speed of the pendulum bob when it is at its lowest point (assume negligible loss of energy due to air resistance; position is shown in meters and time is in seconds).  Start

Three balls are thrown off the top of a building, all with the same speed but different launch angles (position is in meters and time is in seconds). Rank the three balls according to which one hits the ground first and which one has the greatest speed upon impact with the ground. Start

A 1.5 kg brick falls a given height onto a 15 gram spike as shown in the animation (position is in meters and time is in seconds). Determine the average force exerted on the nail by the brick.   Start

A 12 kg box slides down a rough ramp at constant speed as shown in the animation   (position is in meters and time is in seconds). Note that both gravity and friction do work on the box. What is the work done on the box by friction while it is in motion? Start

Interactive Hint

A  ball on an air track is attached to a compressed  spring (at x=0 the spring is unstretched) as shown in the animation (position is in meters and time is in seconds). Determine which area properly represents the work done by the spring during the animation (assume v=0 at the beginning and end of the animation).  Start

A 0.5 kg cart on an air track receives a push as shown in the animation (position in meters and time in seconds). If the spring was initially unstretched with the spring constant of the spring at k=100N/m, determine the magnitude of the force required to hold the block in place and the work done by the external agent.   Start

A 0.5 kg cart resting on an air track oscillates as shown in the animation (position in meters and time in seconds). What is the spring constant of the spring? Start

Interactive Hint