Work, Energy, and Power Exam

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Questions and Answers

A cart descends down a roller coaster and through a loop (the top of the loop is 30 m above ground level) with a velocity of 30 m/s. From what height did the cart initially descend?

75.9 m

A 0.500 g raindrop falls from a height of 1.5 km. Assuming no friction, what would the velocity upon impact with the ground be?

171.5 m/s

A 0.500 g raindrop falls from a height of 1.5 km. If it reaches terminal velocity at 5.20 m/s how much work was done by air resistance to slow down the raindrop?

7.34 J

A puck hits the net and comes to a complete halt in 0.4 m. If the puck weighs 0.2 kg and the work done to stop the puck was 60 J, calculate the deceleration.

<p>750 m/s</p> Signup and view all the answers

A puck hits the net and comes to a complete halt in 0.4 m. If the puck weighs 0.2 kg and the work done to stop the puck was 60 J, calculate the initial velocity of the puck.

<p>24.5 m/s</p> Signup and view all the answers

A pump that is moving water up a tower has a power rating of 400W. How long would it take if it is 87% efficient, and it is moving 90L of water up a height of 50m with a constant velocity?

<p>126.7 s</p> Signup and view all the answers

A spring has a K value (spring constant) of 2000 N/m. If it was compressed 0.10m and was used to shoot a 100g object straight up in the air, how high would it go?

<p>10.2 m</p> Signup and view all the answers

Flashcards

Kinetic Energy (Ek)

Energy due to motion.

Potential Energy (Ep)

Energy due to position or configuration.

Work Done

The energy needed to stop the puck to a complete halt.

Power

The rate at which work is done or energy is transferred.

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Terminal Velocity

The maximum velocity reached when the force of gravity equals the drag force.

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Study Notes

  • Exam covers force, work, energy, and power.
  • The exam is worth a total of 40 marks.

Roller Coaster Problem

  • A cart descends a roller coaster, goes through a loop with the top at 30 m above ground level, and has a velocity of 30 m/s; task is to find the initial descent height.

Raindrop Problem

  • A 0.500 g raindrop falls from 1.5 km.
  • Determine impact velocity assuming no friction.
  • Calculate the work done to slow it down if it reaches a terminal velocity of 5.20 m/s.

Puck Problem

  • A 0.2 kg puck hits a net, stopping in 0.4 m after 60 J of work.
  • Calculate the deceleration.
  • Calculate the initial velocity.

Water Pump Problem

  • A pump with 400W power rating moves water up a tower.
  • Determine how long an 87% efficient pump takes to move 90L of water to a height of 50m at constant velocity.

Spring Problem

  • A spring (k = 2000 N/m) is compressed by 0.10m.
  • Find how high a 100g object shot straight up travels.

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