The heart of man pumps 5 litres of blood through the arteries per minute at a pressure of of mercury. If the density of mercury be and then the power of heart in watt is :
2.35
3.0
1.50
1.70
Get Answer
Power and
A ball is thrown vertically downwards from a height of with an initial velocity . It collides with the ground loses 50 percent of its energy in collision and rebounds to the same height. The initial velocity is : Take )
When ball collides with the ground it loses its of
or
or,
A particle of mass is driven by a machine that delivers a constant power of watts. If the particle starts from rest the force on the particle at time is
As we know power
So,
Hence, acceleration Therefore, force on the particle at time
Two similar springs and have spring constants and , such that . They are stretched, first by the same amount (case ,) then by the same force (case ). The work done by the springs and are related as, in case (a) and case (b), respectively
As we know work done in stretching spring
where spring constant
Case (a) If extension (x) is same,
. So,
Case (b) If spring force (F) is same
will be:
From,
Final K.E.
A body of mass begins to move under the action of a time dependent force , where and are unit vectors alogn and axis. What power will be developed by the force at the time ?
Given force
According to Newton's second law of motion,
Power
A particle of mass moves along a circle of radius 6.4 with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to by the end of the second revolution after the beginning of the motion?
Given: Mass of particle,
radius of circle
Kinetic energy of particle .
acceleration ?
Now, using
The work done by the (i) gravitational force and the (ii) resistive force of air is
(i) (ii)
From work-energy theorem,
which is the work done due to air resistance
Work done due to gravity
A body initially at rest and sliding along a frictionless track from a height (as shown in the figure) just completes a vertical circle of diameter . The height is equal to
As track is frictionless, so total mechanical energy will remain constant
i.e.,
Using
For completing the vertical circle,
A moving block having mass , collides with another stationary block having mass . The lighter block comes to rest after collision. When the initial velocity of the lighter block is , then the value of coefficient of restitution (e) will be
0.5
0.25
0.4
0.8
Before Collision After Collision
According to law of conservation of linear momentum,
.
Coefficient of restitution,
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