Home
Class 12
PHYSICS
A particle of mass 10 kg is moving in a ...

A particle of mass 10 kg is moving in a straight line. If its displacement, `x` with time t is given by `x=(at^(3)+bt+c)`m, the force acting on it at the end of 4 s is 240 N. Its displacement at `t=0` is -10 m and its velocity at `t=0` is -2 m/s. Here, values of a, b, c and acceleration are in the proper SI units :

Text Solution

Verified by Experts

The correct Answer is:
`(a) rarr (s); (b) rarr (p); (c) rarr (q); (d) rarr (r)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOTION ALONG A STRAIGHT LINE

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS ( Integer Type )|3 Videos

  • MOTION ALONG A STRAIGHT LINE

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS ( Linked Comprehension )|15 Videos

  • MAGNETIC FORCE

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer type )|7 Videos

  • MOTION IN TWO AND THREE DIMENSIONS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MATRIX-MATCH)|10 Videos

Similar Questions

Explore conceptually related problems

A partical is moving in a straight line such that its displacement at any time t is given by s=4t^(3)+3t^(2) . Find the velocity and acceleration in terms of t.

A particle moves along a staight line such that its displacement at any time t is given by s=t^3-6t^2+3t+4m . Find the velocity when the acceleration is 0.

Knowledge Check

  • A particle of mass 10 kg is moving in a straight line. If its displacement, x with time tis given by x=(t^(3)-2t-10)m then the force acting on it at the end of 4 seconds is

    A
    24N
    B
    240N
    C
    300N
    D
    1200N

  • A body of mass 5 kg is moving in a straight line. The relation between its displacement and time t is given by x=(t^(3)-2t-10) metre. What is the force acting onit at the end of second?

    A
    150 N
    B
    120N
    C
    100N
    D
    80N

  • A particle is moving in a straight line. Its displacement at time t is given by s(I n m)=4t^(2)+2t , then its velocity and acceleration at time t=(1)/(2) second are

    A
    `-2m//s,-8m//s^(2)`
    B
    `2m//s,6m//s^(2)`
    C
    `-2m//s,8m//s^(2)`
    D
    `2m//s,8m//s^(2)`

    • Similar Questions

    Explore conceptually related problems

    A particle moves along a straight line such that its displacement at any time t is given by s = 3t^(3)+7t^(2)+14t + 5 . The acceleration of the particle at t = 1s is

    A particle of mass 1 kg is moving in straight line and its acceleration v/s displacement graph is shown in figure. Work done by the force during x = 0 to x = 10 m is

    A particle of mass 3 kg is moving along x - axis and its position at time t is given by equation x=(2t^(2)+5)m . Work done by all the force acting on it in time interval t=0 to t=3s is

    A particle is moving in such a way that its displacement s at the t is given by s=2t^(2)+5t+20. After 2 seconds its velocity is

    For a particle moving in a straight line, the displacement of the particle at time t is given by S=t^(3)-6t^(2) +3t+7 What is the velocity of the particle when its acceleration is zero?

    Home
    Profile