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At the moment t = 0 , the force F = kt i...

At the moment t = 0 , the force F = kt is applied to a small body of mass 'm' resting on a smoth horizontal plane. (K is a positive constant ). The direction of the force an angle `theta` with the horizontal always as shown

Consider the body to leave the surface at an instant `t=t_0` then which of the following curves represent velocity ''V'' Vs time 't' for the motion of the body in the interval `0 lt t lt t_0`

A

B

C

D

Text Solution

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The correct Answer is:
B
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At the moment t = 0, the foce F = kt is applied to a small body of mass 'm' resting on a smooth horizontal plane, (K is a positive constant ) . The direction of the force forms an angle theta with the horizontal always as shown which of the option (s) is /are correct ?

At the moment t = 0 , the force F = kt is applied to a small body of mass 'm' resting on a smoth horizontal plane. (K is a positive constant ). The direction of the force an angle theta with the horizontal always as shown The distance travelled x by the body along horizontal before it leaves contact with the horizontal at t =t_0 can be expressed in relation with time 't' as

Knowledge Check

  • A body of mass m resting on a smooth horizontal plane starts moving under a constant force F. During its rectilinear motion, the angle theta between the direction of force and horizontal plane varies as 8 = kx , where k is a constant and x is the distance travelled by the body from the initial position. What is the velocity of the body?

    A
    `(2F)/m tan theta`
    B
    `sqrt((2Fsin theta)/(mK)`
    C
    `sqrt((Fcos theta)/(mk))`
    D
    `sqrt((2Fcos theta)/(mk)`

  • A block of mass m is kept on the ground. A vertically upward for F = kt (K is a positive constant) where 't' is in seconds , starts to act on it at t = 0

    A
    the block looses contact with ground at t = mgK
    B
    For `0 lt t le (mg)/k` , normal reaction decrease linearly with time but force exerted by body on ground also decreases
    C
    For `0 lt t le (mg)/k` , normal reaction decrease linearly with time but force exerted by body on ground is a constant
    D
    At `t=(2mg)/k` , velocity of the body is zero

  • A wooden block of mass M resting on a rough horizontal surface is pulled with a force T at an angle q to the horizontal. If m is coefficient of kinetic friction between the block and the surface, the acceleration of the block is

    A
    `(T cos theta)/(M) - mu g`
    B
    `T/m (cos theta - sin theta) - mu g`
    C
    `T/m (cos theta - mu sin theta) - mu g`
    D
    `(mu T cos theta)/(M) - mu g`

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    At the moment t =0 , a force F = kt ( k is a constant) is applied to a small body of mass m resting on a smooth horizontal plane. The permanent direction of force F , makes an angle beta with the horizontal . Calculate i) The velocity of the body at the moment of its breaking off the plane . ii) The distance traversed by the body upto this moment

    At the moment t =0 , a force F = kt ( k is a constant) is applied to a small body of mass m resting on a smooth horizontal plane. The permanent direction of force F , makes an angle beta with the horizontal . Calculate i) The velocity of the body at the moment of its breaking off the plane . ii) The distance traversed by the body upto this moment

    At the moment t=0, a force F=kt (k is a constant) is applied to a small body of mass m resting on a smooth horizontal plane . The permanent direction of force F , makes an angle beta with the gorizontal . Calculate (i) The velocity of the body at the moment of its breaking off the plane . (ii) The distance traversed by the body upto this moment .

    A wooden block of mass M resting on a rough horizontal surface is pulled with a force T at an angle q to the horizontal. If m is coefficient of kinetic friction between the block and the surface, the acceleration of the block is

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