AP®PhysicsCollege BoardPhysics 1: Algebra-BasedExam QuestionsUnit 3: Work, Energy & PowerWork-Energy Theorem

Work-Energy Theorem (College Board AP® Physics 1: Algebra-Based): Exam Questions

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Work-Energy Theorem

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1
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Which of the following is true for the work-energy theorem?

  • W subscript n e t end subscript space equals space W subscript f space minus space W subscript i

  • W subscript n e t end subscript space equals space K subscript i space minus space K subscript f

  • W subscript n e t end subscript space equals space 1 half m v subscript f squared space minus space 1 half m v subscript i squared

  • W subscript n e t end subscript space equals space stack sum K subscript i with i below

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2
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A soccer player kicks a soccer ball at rest on the penalty spot. The player's kick exerts a force of 40 space straight N on the ball in the direction of travel. The ball has 860 space straight J of kinetic energy just before the goalkeeper catches it.

Which of the following is most nearly the net work done on the ball?

  • 0 space straight N times straight m

  • 20 space straight N times straight m

  • 340 space straight N times straight m

  • 860 space straight N times straight m

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3
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An object is dropped 120 m through a vacuum chamber.

Which of the following is the object's speed just before it hits the floor?

  • 20 m/s

  • 30 m/s

  • 40 m/s

  • 50 m/s

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4
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A 5 kg cart is pushed with a force of 20 N over a distance of 4 m. If the cart was initially at rest, which of the following is the final kinetic energy of the cart?

  • 10 J

  • 20 J

  • 40 J

  • 80 J

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5
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A 2 kg rock is thrown vertically upwards with an initial speed of 10 m/s. Assuming no air resistance, which of the following is the maximum height reached by the rock?

  • 3 m

  • 4 m

  • 5 m

  • 6 m

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1
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A soccer player kicks a soccer ball at rest on the penalty spot. The player's kick exerts a force of 43 N on the ball in the direction of travel. The ball has 862 J of kinetic energy just before the goalkeeper catches it. Which of the following is a best estimate of the distance traveled by the ball from the penalty spot to the goalkeeper's arms.

  • 0.05 space straight m

  • 5 space straight m

  • 12.5 space straight m

  • 20 space straight m

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2
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A block of mass 64 space straight g slides down an inclined plane with a coefficient of kinetic friction of 0.31. If the angle of incline is 37 degree from the horizontal, and the block slides a distance of 0.24 space straight m, which of the following is correct for the energy dissipated by friction?

  • 0.038 space straight J

  • 0.38 space straight J

  • 3.8 space straight J

  • 38 space straight J

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3
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A forklift truck raises a 350 kg crate from the ground to a shelf 5.0 m higher.

The forklift is 60% efficient.

Which of the following is most nearly the work done by the forklift's engine?

  • 10 000 J

  • 20 000 J

  • 30 000 J

  • 40 000 J

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4
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An object is released from rest and slides a distance d down an incline plane at an angle of theta to the horizontal. It experiences a constant friction force with magnitude F and reaches a final speed of v.

Which of the following expressions is equal to the mass of the object?

  • fraction numerator 2 F d over denominator 2 g d cos theta space minus space v squared end fraction

  • fraction numerator F d squared over denominator d g sin theta space minus space v squared end fraction

  • fraction numerator 2 F d over denominator 2 g d sin theta space minus space v squared end fraction

  • fraction numerator 2 F d over denominator g d sin theta space minus space 1 half v squared end fraction

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5
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A 5 kg mass rests on a smooth, frictionless table, connected by a light inextensible string to a 3 kg mass suspended over the edge of the table. The string runs over an ideal pulley (massless and frictionless). When the 3 kg mass is released, it falls, causing the 5 kg mass to slide along the table.

If the system starts from rest, what will be the speed of both masses after the 3 kg mass has fallen 1.5 m?

  • 3.4 m/s

  • 4.1 m/s

  • 5.5 m/s

  • 5.9 m/s

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1
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Two masses, m subscript 1 and m subscript 2 are suspended from either side of a pulley with diameter D, where m subscript 1 greater than m subscript 2.

In the time taken for the speed of m subscript 1 to increase from v subscript 1 to v subscript 2, the pulley has rotated by 180°.

Which of the following expressions is equal to the fraction m subscript 2 over m subscript 1?

  • fraction numerator straight pi D g space minus space open parentheses v subscript 2 space minus space v subscript 1 close parentheses squared space over denominator straight pi D g space plus space open parentheses v subscript 2 space minus space v subscript 1 close parentheses squared space end fraction

  • fraction numerator straight pi D g space plus space v subscript 1 squared space minus space v subscript 2 squared space over denominator straight pi D g space plus space v subscript 2 squared space minus space v subscript 1 squared end fraction

  • fraction numerator straight pi D g space minus space 1 half open parentheses v subscript 2 space minus space v subscript 1 close parentheses squared space over denominator straight pi D g space plus space 1 half open parentheses v subscript 2 space minus space v subscript 1 close parentheses squared space end fraction

  • fraction numerator 2 straight pi D g space plus space v subscript 1 squared space minus space v subscript 2 squared space over denominator 2 straight pi D g space plus space v subscript 2 squared space minus space v subscript 1 squared end fraction

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2
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4 forces act on an object. A 10 N force acts vertically upwards, a 4 N force acts vertically downwards. A 2 N force acts horizontal and left, a 12 N force acts to the right, 20 degrees above the horizontal.

4 constant forces act on an object which is initially at rest, as shown in the figure above.

After the object has moved 15.0 space straight m at an angle of 42.6 degree to the horizontal, which of the following is most nearly its kinetic energy?

  • 100 J

  • 210 J

  • 240 J

  • 420 J

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3
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m_1 lies on a surface, connected to a string. The string runs over a pulley on the edge of the surface and m_2 hangs off the other end of the string. m_2 is submerged in water. Both masses are labeled as travelling at speed v. m_2 travels downwards, m_1 travels horizontal and to the right.

Two objects are connected via a light inextensible string which runs over a pulley on a cliff edge. One object of mass m subscript 1 is held stationary on the ground, as shown in the figure above, while the object of mass m subscript 2 is submerged under water while hanging from the string. The masses are such that m subscript 1 space equals space m subscript 2 over 4 and the density of mass m subscript 2 is 8 times the density of water.

When m subscript 1 is released, the string remains taut and m subscript 1 reaches a speed v once it has moved distance d. The coefficient of kinetic friction between mass m subscript 1 and the ground is mu subscript k space equals space 0.1.

Which of the following is the correct expression for speed v?

  • 1.2 square root of g d end root

  • 2.4 square root of g d end root

  • square root of 1.2 g d end root

  • 3.0 square root of g d end root

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