A force is applied over a particle which displaces it from its origin to the point . The work done on the particle in joules is
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A force is applied over a particle which displaces it from its origin to the point . The work done on the particle in joules is
It is easier to draw up a wooden block along an inclined plane than to haul it vertically, principally because
Opposing force in vertical pulling = mg
But opposing force on an inclined plane is mg sinθ, which is less than mg.
Two bodies of masses 1 kg and 5 kg are dropped gently from the top of a tower. At a point 20 cm from the ground, both the bodies will have the same
Velocity of fall is independent of the mass of the falling body.
A particle moves under the effect of a force F = Cx from x = 0 to x = x1. The work done in the process is
A cord is used to lower vertically a block of mass M by a distance d with constant downward acceleration . Work done by the cord on the block is
The cord applies a constant downward force of (3M/4)g on the block to cause a downward acceleration of g/4. According to the work-energy theorem, the work done by the cord on the block is equal to the change in kinetic energy, which is (1/2)Mv^2 - (1/2)Mu^2 = (1/2)M(v^2 - u^2) = -(3Mgd/4), where u = 0.
Two springs have their force constant as k1 and . When they are stretched by the same force
If both springs are stretched by same force then
As therefore
i.e. more work is done in case of second spring.
The potential energy of a certain spring when stretched through a distance ‘S’ is 10 joule. The amount of work (in joule) that must be done on this spring to stretch it through an additional distance ‘S’ will be:
(given in the problem)
= 3 × 10 = 30 J
A position dependent force acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5 m. The work done in joules is:
=
= 35 – 25 + 125 = 135 J
A body of mass 3 kg is under a force, which causes a displacement in it, given by (in m). Find the work done by the force in first 2 seconds:
∴
Now work done by the force
= = 24 J
A spring of force constant 800 N/m has an extension of 5cm. The work done in extending it from 5cm to 15 cm is:
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