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

Exam Questions

5 mins5 questions
1
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1 mark

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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2
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1 mark

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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3
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1 mark

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

  • Ideal string

    Non-ideal string

    nonnegligible mass and inextensible

    negligible mass and an even extension

  • Ideal string

    Non-ideal string

    negligible mass and extensible

    nonnegligible mass and in extensible

  • Ideal string

    Non-ideal string

    light and extensible

    negligible mass and a long extension

  • Ideal string

    Non-ideal string

    negligible mass and inextensible

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

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41 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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5
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1 mark

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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