A small ball released from rest from a height h on a smooth surfa

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 Multiple Choice QuestionsMultiple Choice Questions

181.

If the position of a moving particle, with respect to time be, x(t) = 1 + t − t2, then, the acceleration of particle is given by (assume all measurements in MKS)

  • − 1 ms-2

  • − 1.5 ms-2

  • − 2 ms-2

  • − 2.5 ms-2


182.

A ball is dropped from a tower of height h. The duration (t0) of motion, when it reaches bottom of the tower is given by

  • 2hg

  • hg

  • 2 hg

  • 4hg


183.

For the given position-time (x − t) graph , the interval in  which velocity is zero, is

  

  • (t3 − t1)

  • (t3 − t2)

  • (t5 − t4)

  • (t5 − t2)


184.

A particle moves along the x-axis as x = u (t −2s) + a (t − 2s)2. The initial velocity of the particle is

  • u − 2a

  • u − 4a

  • 2a − u

  • 2a − 3u


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185.

A small ball released from rest from a height h on a smooth surface of varying inclination, as shown in figure.

The speed of the ball when it reaches the horizontal part of the surface is

  • v0 = gh

  • v0 = 5gh

  • v0 = 2gh

  • None of these


C.

v0 = 2gh

The speed of the ball, when it reaches the horizontal part of the surface is

        Wnet = ΔK

  mgh + 0 = 12mv02 - 0

           v02gh


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186.

Two masses m1 = 5 kg and m2 = 4.8 kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift is free to move ?

  • 0.2 m/s2

  • 9.8 m/s2

  • 5 m/s2

  • 4.8 m/s2


187.

A person travelling on a straight line moves with an uniform velocity v1 for some time and with uniform velocity v2 for the next equal interval of time. The average velocity for the entire duration is

  • ( v1 + v2 )

  • (v1 + v2 ) / 2

  • (v1 + v2 ) / 3

  • (2v1 + 3v2 ) / 3 


188.

If a particle moves a distance x at a speed v1 and comes back with speed v2 , then the average speed and average velocity during this round trip will respectively be

  • 0, v1 + v2

  • 2v1v2v1 + v2, 0

  • v1 + v2, 0

  • v1 − v22v1v2v1 + v2 


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189.

A metal block of mass 1 kg is resting on a frictionless horizontal plane. It is struck by a jet releasing water at a rate of 1 m/s and at a speed of 4 m/s. Then, the initial acceleration of the block will be

  • 2 m/s2

  • 8 m/s2

  • 1 m/s2

  • 4 m/s2


190.

A monkey of mass 30 kg climbs on a massless rope whose breaking strength is 450 N. The rope will break if the monkey (Take g = 10 m/s2 )

  • climbs up with a uniform speed of 5 m/s

  • climbs down with an acceleration 4 m/s2

  • climbs up with an acceleration 6 m/s2

  • climbs down with a uniform speed of 5 m/s2


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