Home
Class 11
PHYSICS
The displacement x and time for a partic...

The displacement x and time for a particle are related to each other as `t = sqrt(x) + 3`. What is work done in first six seconds of its motion? 

A

6J

B

zero

C

4J

D

2J

Text Solution

Verified by Experts

The correct Answer is:
B
From `sqrt(x) + 3 = t, x = (t - 3)^2`
Now, `v = (dx)/(dt) = 2(t -3)`
At `t = 0, v_1 = 2(-3) = -6`
At `t = 6 , v_2 = 2(6 - 3) = 6`
Work done = Change in KE = `1/2 m (v_2^2 - v_1^2)` = zero.
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    MTG GUIDE|Exercise NEET CAFE (TOPICWISE PRACTICE QUESTIONS) (POWER)|22 Videos

  • WORK, ENERGY AND POWER

    MTG GUIDE|Exercise NEET CAFE (TOPICWISE PRACTICE QUESTIONS) (POTENTIAL ENERGY AND CONSERVATIVE FORCES)|19 Videos

  • WORK, ENERGY AND POWER

    MTG GUIDE|Exercise NEET CAFE (TOPICWISE PRACTICE QUESTIONS) (KINETIC ENERGY)|18 Videos

  • THERMODYNAMICS

    MTG GUIDE|Exercise AIPMT/NEET (MCQs)|26 Videos

Similar Questions

Explore conceptually related problems

The displacement (x) and time (t) for particle are related as t=sqrt(x)+3 . What is the work done in te first six sexond of its motion?

The displacement x (in m ), of a patticle of mass m (in kg ) is related to the time t (in second) by t = sqrt(x) +3 . Find the work done in first six second. (in mJ ).

The displacement x (in m ) and time t (in s) of a particle are connected by the relation sqrt(t + 3 + x) = 2 , then:

If the displacement of a particle varies with time as sqrt x = t+ 3

If the displacement of a particle varies with time as sqrt(x) = t + 7 . The -

The displacement 'x' and time of travel 't' for a particle moving an a straight line are related as t = sqrt((x+1)(x-1)) . Its acceleration at a time t is

For a particle displacement time relation is t = sqrt(x) + 3 . Its displacement when its velocity is zero -

The displacement x of a particle at time t moving under a constant force is t=sqrtx+3 , x in metres, t in seconds. Find the work done by the force in the interval from t=0 to t=6 second.

The displacement x of a particle is dependent on time t according to the relation : x = 3 - 5t + 2t^(2) . If t is measured in seconds and s in metres, find its acceleration at t = 4s.

The displacement x of a particle is dependent on time t according to the relation : x = 3 - 5t + 2t^(2) . If t is measured in seconds and s in metres, find its velocity at t = 2s.