A motorcycle starts from rest and accelerates along a straight p

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 Multiple Choice QuestionsMultiple Choice Questions

11.

A point p moves in counter -clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out the length s = t3 + 5, where s is metre and t is in second. The radius of the path is 20 m. The acceleration of P when t =2 s is nearly

  • 13 ms-2

  • 12 ms-2

  • 7.2 ms-2

  • 7.2 ms-2

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12.

A body of mass m = 10–2 kg is moving in a medium and experiences a frictional force F = –kv2. Its initial speed is v0 = 10 ms–1. If, after 10 s, its energy is 1/8 mv02,the value of k will be

  • 10-4 kg m-1

  • 10–1 kg m–1 s–1

  • 10-3 kg m-1

  • 10-3 kg m-1

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13.

A time-dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be

  • 9J

  • 18 J

  • 4.5 J

  • 4.5 J

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14.

A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?

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15.

A particle has an initial velocity of 3 space stack straight i space with hat on top plus space 4 space stack straight j space with hat on top and an acceleration of It speed 0.4 space stack straight i space with hat on top plus space 0.3 space stack straight j space with hat on topafter 10 s

  • 10 units

  • 7 space square root of 2
  • 7 units

  • 7 units

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16.

A motorcycle starts from rest and accelerates along a straight path at 2 m/s2. At the straight point of the motorcycle, there is a stationary electric siren. How far has the motorcycle gone when the driver hears the frequency of the siren at 94% of its value when the motorcycle was at rest?

  • 49 m

  • 98 m

  • 147 m

  • 147 m


B.

98 m

straight V space equals space square root of 2 aS end root space equals space square root of 4 straight S end root
also comma space 94 space equals space 100 space open parentheses fraction numerator 330 minus straight V over denominator 330 end fraction close parentheses
rightwards double arrow fraction numerator 33 space straight x space 6 over denominator 10 end fraction space equals space square root of 4 straight S end root
rightwards double arrow straight S space equals 98 space straight m
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17.

Consider a rubber ball freely falling from a height h = 4.9 m onto a horizontal elastic plate.Assume that the duration of collision is negligible and the collision with the plate is totally elastic.Then the velocity as a function of time and the height as a function of time will be

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18.

A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-directionn with a constant speed. The position of the first body is given by x1(t) after time ‘t’ and that of the second body by x2(t) after the same time interval. Which of the following graphs correctly describes (x1 – x2)as a function of time ‘t’?

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19.

The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is

  • v0 + 2g + 3f

  • v0 + g/2 + f/3

  • v0 + g + f

  • v0 + g + f

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20.

A 2 kg block slides on a horizontal floor with a speed of 4 m/s. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is 15 N and spring constant is 10,000. N/m. The spring compresses by

  • 5.5 cmYes

  • 2.5 cm

  • 11 cm

  • 11 cm

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