At time particle starts moving along the -axis. If its kinetic energy increases uniformly with time , the net force acting on it must be proportional to
constant
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Given, constant
Also, constant
If a force is applied on a body and it moves with a velocity , the power will be
Sand is being dropped from a stationary dropper at a rate of on a conveyor belt moving with a velocity of . The power needed to keep belt moving with the same velocity will be :
So, Power Force Velocity
A body of mass is accelerated uniformly from rest to a speed in a time . The instantaneous power delivered to the body as a function of time is given by
Instantaneous power . a. at
Instantaneous power
A car of mass starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude . The instantaneous velocity of this car is proportiourl to:
Constant power of car
Integrating
A vehicle is moving with a uniform velocity on a smooth horizontal road, then power delivered by its engine must be
uniform
increasing
decreasing
zero
and 2 are constant
How much water, a pump of can raise in one minute to a height of , take ?
1000
1200
100
2000
. Here, .
and .
This gives,
Its volume litre as 1 litre of water contains of its mass.
The engine of a vehicle delivers constant power. If the vehicle is moving up the inclined plane then, its velocity,
must remain constant
must increase
must decrease
may increase, decrease or remain same.
A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ' ' is proportional to
We know that Power
where constant
where
A body projected vertically from the earth reaches a height equal to earth's radius before returning to the earth. The power exerted by the gravitational force is greatest
at the highest position of the body
at the instant just before the body hits the earth
it remains constant all through
at the instant just after the body is projected
Power exerted by a force is given by F.v
When the body is just above the earth's surface, its velocity is greatest. At this instant, gravitational force is also maximum. Hence, the power exerted by the gravitational force is greatest at the instant just before the body hits the earth.
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