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Consider a force `F=- xhati + yhatj` The work done by this force in moving a particle from point `A(1, 0)` to `B(0,1)` along the line segment is (all quantities are in SI
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A body moves from point A to B under the action of a force varying in magnitude as shown in figure, then the work done is (force is expressed in newton and displacement in
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A string of length `L` and force constant `k` is stretched to obtain extension `l`. It is further stretched to obtain extension `l_1`,. The work done in second stretching
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A uniform chain of length `l` and mass `m` is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If `g` is acceleration due to gravity, work required to pull the hanging part on to the table
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If `W_1, W_2 and W_3` are the work done in moving a particle from A and B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass `m`, the relation between `W_1, W_2 and W_3`
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Amongst the given graphs which one correctly represents the variation of the kinetic energy `(K)` of a body with velocity
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The kinetic energy of a body of mass `4 kg` and momentum `6 N-s` will
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For a moving particle (mass `m`, velocity `v`) having a momentum `p`, which one of the following correctly describes the kinetic energy of the
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Two bodies of masses `4 kg and 5 kg` are moving with equal momentum. Then, the ratio of their respective kinetic energies
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A heavy body and a light body have same kinetic energy. Which will have larger linear
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A mass of 5 kg is moving along a circular path of radius 1 m. If the mass moves with 300 rev/min, its kinetic energy (in `J`) would
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Two moving objects `(m_1 > m_2)` having same kinetic energy are stopped by application of equal retarding force. Which object will come to rest at shorter
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A particle which is experiencing a force, is given by `F=3hati - 12hatj`, undergoes a displacement of `d=4hati`. If the particle had a kinetic energy of `3hatJ` at the beginning of the displacement, what is its kinetic energy at the end of the displacement
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A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled `3 m`
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When a person lifts a brick above the surface of the earth, then its potential
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A massless spring of spring constant `k`, has extension `y` and potential energy `E`. It is now stretched from `y` to `2y`. The increase in its potential energy
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A bread gives 5 kcal of energy to a boy. How much height he can climbs by using this energy, if his efficiency is 28% and mass is 60
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A stone is projected vertically up to reach maximum height `h`. The ratio of its kinetic energy to its potential energy at a height `4/5h`, will
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A spring of force constant 800 N/m has an extension of `5 cm`. The work done in extending it from `5 cm` to `15 cm`
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A 2 kg block slides on a horizontal floor with a speed of 4 m/s. It strikes a uncompressed spring and compresses it till the block is motionless. The kinetic friction force is 15 N and spring constant is 10000 N/m. The spring compresses
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