Home
Class 11
PHYSICS
A constant power P is applied to a parti...

A constant power `P` is applied to a particle of mass `m`. The distance traveled by the particle when its velocity increases from `v_(1)` to `v_(2)` is (neglect friction):

Text Solution

Verified by Experts

Power P = F. `upsilon = (ma)upsilon`
`a=(P)/(m upsilon) rArr upsilon(d upsilon)/(ds)=(P)/(m upsilon)`
`upsilon^(2).d upsilon=(P)/(m)" ds " (P)/(m) int_(0)^(s) ds = int_(upsilon_(1))^(upsilon_(2))upsilon^(2).d upsilon`
`(P)/(m).s=(1)/(3)(upsilon_(2)^(3)-upsilon_(1)^(3)) " " therefore s=(m)/(3P)(upsilon_(2)^(3)-upsilon_(1)^(3))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A constant power P is applied on a particle of mass m. find kintic energy, velocity and displacement of particle as function of time t.

A constant force(F) is applied on a stationary particle of mass 'm'. The velocity attained by the particle in a certain displacement will be proportional to

A constant force(F) is applied on a stationary particle of mass 'm'. the velocity attained by the particle in a certain interval of time will be proportional to

A constant force (F) is applied on a stationary particle of mass m, the velocity attained by the particle in a certain interval of time will be proportional to

A thin hollow sphere of mass m is completely filled with a liquid of mass m. When the sphere rolls with a velocity v kinetic energy of the system is (neglect friction)

A time varying power P=2t is applied on particle of mass m. find. (a) kinetic energy and velocity of particle as function of time. (b) average power over a time intrval from t=0 to t=t .

Velocity time equation of a particle moving in a straight line is v=2t-4 for tle2s and v=4-2t for tgt2 .The distance travelled by the particle in the time interval from t=0 to t=4s is (Here t is in second and v in m/s)

A self-propelled vehicle of mass m, whose engine delivers a constant power P, has an acceleration a = (P//mv) . (Assume that there is no friction). In order to increase its velocity from v_(1) to v_(2) , the distan~e it has to travel will be:

A particle of mass m initially moving with speed v.A force acts on the particle f=kx where x is the distance travelled by the particle and k is constant. Find the speed of the particle when the work done by the force equals W.

A stationary particle explodes into two particle of a masses m_(1) and m_(2) which move in opposite direction with velocities v_(1) and v_(2) . The ratio of their kinetic energies E_(1)//E_(2) is