Home
Class 12
PHYSICS
A vehicle is driven along a straight hor...

A vehicle is driven along a straight horizontal track by a motor which exerts a constant driving force. The vehicle starts from rest at `t=0` and the effects of friction and air resistance are negligible. If the kinetic eneryg of the vehicle at time t is E and power developed by the motor is P, which of the following graphs are correct?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A, C
Since, force on the vehicle is constant, it will move with a constant acceleration.
Let this acceleration be a.
Then at time t, its velocity will be equal to v = at.
Hence, at time t, the kinetic energy
`K.E. = (1)/(2) = (1)/(2) mv^(2) = (1)/(2) ma^(2) t^(2)`
It means, graph between E and t will be a parabola of increasing slope. Hence, option ( c) is correct.
The power associated with the force is equal to P = Fv = Fat. (for initial velocity to be zero,)
Hence, the graph between power and time will be a straight line passing through the origin. Hence, option (a) is also correct.
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER, ENERGY

    MTG-WBJEE|Exercise EXERCISE (WB JEE Previous Years Questions) CATEGORY 1 : Single Option Correct Type (1 Mark)|3 Videos

  • WORK, POWER, ENERGY

    MTG-WBJEE|Exercise EXERCISE (WB JEE WORKOUT) CATEGORY 2 : Single Option Correct Type (2 Mark)|15 Videos

  • WAVE OPTICS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTION (MCQ.s)|9 Videos

Similar Questions

Explore conceptually related problems

A particle is projected from a point of an angle with the horizontal. At any instant t, if p is the linear momentum and E the kinetic energy, then which of the following graph is/are correct?

A particie of mass 10 kg is driven by a machine that delivers a constant power of 20 watts. If particle starts from rest and moves along a straight line, then force (in Newton) on particle at time t(t> 0) is

A motor drives a body along a straight line with a constant force. The power P developed by the motor muat vary with time t as

A block is resting over a smooth horizontal plane. A constant horizontal force starts acting on it at t = 0 . Which of the following graph is correct:

A particle is projected from a point at an angle with the horizontal at t=0 . At an instant t, if p is linear momentum, x is horizontal displacement, y is vertical displacement, and E is kinetic energy of the particle, then which of the following graphs are correct?

Acceleration versus time curve for a particle moving in a straight line is shown in the figure. If particle starts from rest at t=0 , then which of the following curve is correct for the same particle.

A car, starting from rest, has a constant acceleration for a time interval t_1 during which it covers a distance In the next time interval the car has a constant retardation and comes to rest after covering a distance in time Which of the following relations is correct?

A particle starts moving from rest the origin & moves along positive x- direction . Its rate of change of kinetic energy with time shown on y- axis veries with time t as shown in the graph. If position, velocity , acceleration & kinetic energy of the particle at any time t are x,v,a,& k respectively then which of the option (s) may be correct ?