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.

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

Which of the following is most nearly the kinetic energy of the object after it has moved 15.0 space straight m in the direction of the resultant motion?

  • 100 space straight J

  • 210 space straight J

  • 240 space straight J

  • 420 space straight 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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