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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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`300J` of work is done in sliding a 2 kg block up an inclined plane of height 10 m (taking, `g=10 ms^(-2)`). Work done against friction
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The graph below represents the potential energy `U` as a function of position r for a particle of mass `m`. If the particle is released from rest at position `r_0`, what will its speed be at position `3r_0`
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A pebble is attached to one end of a string and rotated in a vertical circle. If string breaks at the position of maximum tension, so from the figure shown below, it will break
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What is the ratio of kinetic energy of a particle at the bottom to the kinetic energy at the top, when it just loops a vertical loop of radius
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A man can do work of `600J` in 2 min, then man’s power
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A particle is acted by a constant power. Then, which of the following physical quantity remains
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An object of mass m moves horizontally, increasing in speed from `0` to `v` in a time `t`. The power necessary to accelerate the object during this time period
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A 60 HP electric motor lifts an elevator having a maximum total load capacity of `2000 kg`. If the frictional force on the elevator is `4000 N`, the speed of the elevator at full load is close to (take, `1 HP = 746 W and g=10
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For a system to follow the law of conservation of linear momentum during a collision, the condition is I. total external force acting on the system is zero II. total external force acting on the system is finite and time of collision is negligible III. total internal force acting on the system is
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Two identical balls A and B having velocities of `0.5 ms^(-1) and -0.3 ms^(-1)` respectively, collide elastically in one dimension. The velocities of B and A after the collision respectively will
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A particle of mass `1g` moving with a velocity `v_1= (3hati - 2hatj) ms^(-1)` experiences a perfectly elastic collision with another particle of mass `2 g` and velocity `v_2=(4hatj - 6hatk) ms^(-1)`. The velocity of the particle
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A particle of mass `m_1` moves with velocity `v_1`, collides with another particle at rest of equal mass. The velocity of second particle after the elastic collision
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Two objects of mass `m` each moving with speed `mu ms^(-1)` collide at 90°, then final momentum is (assume collision is
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A body of mass `5 xx 10^3 kg` moving with speed `2ms^(-1)` collides with a body of mass `15 xx 10^3 kg` inelastically and sticks to it. Then, loss in kinetic energy of the system will
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If the linear momentum of a body is increased by 50%, then the kinetic energy of that body increases
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