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AP®PhysicsCollege BoardPhysics 1: Algebra-BasedExam QuestionsUnit 2: Force & Translational DynamicsTension

Tension (College Board AP® Physics 1: Algebra-Based): Exam Questions

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1
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Which of the following statements are correct about an ideal pulley?

  • An ideal pulley has a mass m.

  • An ideal pulley rotates about an axle through its center of mass with negligible friction.

  • The mass of the pulley needs to be considered as part of the mass of the system

  • The tensions in the string either side of the pulley are not equal

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2
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Which of the following pairs of statements correctly describes ideal and non-ideal strings?

Ideal string

Non-ideal string

A

nonnegligible mass and inextensible

negligible mass and an even extension

B

negligible mass and extensible

nonnegligible mass and in extensible

C

light and extensible

negligible mass and a long extension

D

negligible mass and inextensible

nonnegligible mass and an extension that may not be the same at all points

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    3
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    Which of the following statements is true about an ideal string?

    • It has a uniform tension throughout.

    • Its mass affects the forces in the system.

    • It can stretch under tension.

    • It experiences no forces when in equilibrium.

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    4
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    Which of the following is a characteristic of an ideal pulley?

    • It increases the tension in the string.

    • It has negligible friction and mass.

    • It changes the magnitude of the force applied.

    • It eliminates the need for tension in the string.

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    5
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    Which of the following statements is true about non-ideal strings?

    • Tension is uniform throughout the string.

    • Non-ideal strings do not extend under tension.

    • Tension can vary along the length of the string.

    • Non-ideal strings cannot transfer forces.

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    1
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    An object of mass m is at rest on a smooth horizontal table and attached to another mass M which is suspended by a light inextensible string placed over a smooth pulley.

    A pulley system with mass m on a horizontal surface connected by a string over a pulley to mass M hanging vertically.

    Which of the following expressions correctly represents the acceleration of the two blocks when they are released from rest?

    • fraction numerator open parentheses M space plus space m close parentheses over denominator g end fraction

    • fraction numerator open parentheses M space plus space m close parentheses over denominator M g end fraction

    • fraction numerator M g over denominator open parentheses M space plus space m close parentheses end fraction

    • fraction numerator M over denominator open parentheses M space plus space m close parentheses g end fraction

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    21 mark

    Two objects of mass m and M are freely suspended from a massless, frictionless pulley, where M space greater than space m.

    Pulley system with two suspended masses labeled "m" on the left and "M" on the right, connected over a central pulley wheel.

    Which of the following expressions represents the acceleration of the system?

    • fraction numerator g open parentheses M space minus space m close parentheses over denominator open parentheses m space plus space M close parentheses end fraction

    • fraction numerator open parentheses m space plus space M close parentheses over denominator g open parentheses M space minus space m close parentheses end fraction

    • fraction numerator open parentheses M space minus space m close parentheses over denominator g open parentheses m space plus space M close parentheses end fraction

    • fraction numerator g open parentheses m space minus space M close parentheses over denominator open parentheses M space plus space m close parentheses end fraction

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    3
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    Two 10.0 space straight N blocks are connected by a rope over a frictionless pulley. One block hangs vertically, while the other is on a horizontal frictionless surface.


    Which of the following is the most accurate value for the tension in the rope?

    • 50 space straight N

    • 69 space straight N

    • 98 space straight N

    • 120 space straight N

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    1
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    A 5 space kg block connected by a light inextensible string over a smooth pulley slides down an inclined plane with an acceleration of 0.8 space straight m divided by straight s squared. The plane is inclined at an angle of 15 degree to the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.2. The other end of the string is attached to a freely suspended block with a different mass.

    A block of mass M on a 15-degree inclined plane, with a pulley system. The block is connected to another mass M hanging vertically. Arrow "a" indicates acceleration, "Fk" for kinetic friction.

    Which of the following is most nearly the mass m of the freely suspended block?

    • 3 space kg

    • 4 space kg

    • 5 space kg

    • 6 space kg

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    2
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    A trolley of mass m is pulled along a horizontal frictionless table by a force W provided by a mass attached to the end of a string hanging vertically over a pulley at the end of the table.

    Which of the following is the correct expression for the acceleration of the trolley?

    • W over m

    • g

    • fraction numerator W over denominator italic 2 m end fraction

    • W over m space plus space m

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    3
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    Two blocks are connected by a non-ideal rope of mass 2.0 space kg which runs over a smooth pulley. Block A of mass 10.0 space kg hangs vertically, and Block B of mass 5.0 space kg is at rest on a frictionless horizontal surface. The system is accelerated by a force of 50.0 space straight N applied horizontally to Block B towards the pulley. The rope between the blocks remains taut and the tensions in the horizontal and vertical parts are not the same.

    Which of the following is the magnitude of the tension at the midpoint of the rope?

    • 46 space straight N

    • 51 space straight N

    • 58 space straight N

    • 61 space straight N

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