A 0.5 kg ball moves in a circle of radius 0.4 m at a velocity of

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211.

A 0.5 kg ball moves in a circle of radius 0.4 m at a velocity of 4 m/s. The centripetal force on the ball is

  • 10 N

  • 20 N

  • 40 N

  • 80 N


B.

20 N

F = mv2r=0.5 × 4 × 40.4=8.00.4F = 804 = 20 N


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212.

A body takes time t to reach the bottom of an inclined plane of angle 0 with the horizontal. If the plane is made rough, time taken now is 2t. The coefficient of friction of the rough surface is:

  • 34tanθ

  • 23tanθ

  • 14tanθ

  • 12tanθ


213.

Two bodies having masses m1 = 40g and m2 = 60 g are attached to the ends of a string of negligible mass and suspended from a massless pulley. The acceleration of the bodies is:

  • 1 m/s2

  • 2 m/s2

  • 0.4 m/s2

  • 4 m/s2


214.

A block is moving up an inclined plane of inclination 60° with a velocity of 20 m/s and stops after 2 s. If g = 20 m/s2 then the approximate value of the coefficient of friction is :

  • 3

  • 3.3

  • 0.27

  • 0.33


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215.

A force of 49 newtons is just able to move a block of wood weighing 10 kg-on a rough horizontal surface. Its coefficient of friction is :

  • 1

  • 0.7

  • 0.5

  • zero


216.

Two bodies of mass m and 4m have equal kinetic energy. What is the ratio of their momentum?

  • 1 : 4

  • 1 : 2

  • 1 : 1

  • 2 : 1


217.

A particle is moving in a circle with uniform speed v. In moving from a point to another diametrically opposite point :

  • the momentum changes by mv

  • the momentum changes by 2mv

  • the kinetic energy changes by 1/2 mv2

  • the kinetic energy changes by mv2


218.

A block of mass 1 kg is placed on the wall under a force F. If coefficient of friction (μ) is 0.5, then minimum value of force applied is :

  • 9.8 N

  • 49 N

  • 19.6 N

  • 1.96 N


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219.

A car is moving with speed 30 m/s on a circular path of radius 500 m. If its speed is increasing at a rate of 5m/s2, then resultant acceleration at that instant is

  • 6.83 m/s2

  • 8 m/s2

  • 5.31 m/s2

  • 4 m/s2


220.

A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/s. The tension in the string is 6 N, when the stone is a

  • top of the circle

  • bottom of the circle

  • halfway down

  • None of the above


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