When a block of mass is suspended by a long wire of length , the length of the wire becomes . The elastic potential energy stored in the extended wire is :
Get Answer
Here,
where force constant
Stored elastic potential energy in extended wire, [here ]
A force acts on a particle in -direction where is in newton and in meter. Work done by this force to move the particle from to is :
Work done by variable force
Work done,
where,
A particle is released from height from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively
Let the height from the surface of the earth be . When body from rest falls through height
Then from
At this point,
From question, kinetic energy,
(using (i))
Water falls from a height of at the rate of to operate a turbine. The losses due to frictional force are of the input energy. How much power is generated by the turbine?
Power on turbine
Due to frictional force, lossses are
Power generated
The energy that will be ideally rediated by a transmitter in 1 hour is
Energy radiated = Power time
An electric lift with a maximum load of (lift + passengers) is moving up with a constant speed of 1. The frictional force opposing the motion is . The minimum power delivered by the motor to the lift in watts is: ( )
20000
34500
23500
23000
Power
A shell of mass is at rest initially. It explodes into three fragments having mass in the ratio . If the fragments having equal mass fly off along mutually perpendicular directions with speed , the speed of the third (lighter) fragment is
The potential energy of a long spring when stretched by is . If the spring is stretched by , potential energy stored in it will be
Potential energy stored in spring is given by
Initially
Finally
On dividing (i) by (ii)
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