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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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A ball of mass `m` moves with speed `v` and strikes a wall having infinite mass and it returns with same speed, then the work done by the ball on the wall is
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A body of mass `5 kg` is thrown vertically up with a kinetic energy of `490J.` The height at which the kinetic energy of the body becomes half of the original value is
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If two persons A and B take `2 s and 4 s`, respectively to lift an object to the same height h, then the ratio of their powers is
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At time `t = 0`, particle starts moving along the `x`-axis. If its kinetic energy increases uniformly with time `t`, the net force acting on it must be proportional to `t^n`, where the value of `n` is
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Which of the following statement is correct about non-conservative
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Which of the following statement is
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Which of the following statement does not specify an example of perfectly inelastic
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Match the Column I (angle) with Column II (work done) and select the correct option from the codes given below. Column I Column II A. `theta < 90°` p. Friction B. `theta= 90°` q- Satellite rotating around the earth C. `0 > 90°` r. Coolie is lifting a luggage
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A body is moved along a straight line by a machine delivering a power proportional to time `(P prop t)`. Then, match the Column I with Column II and select the correct option from the codes given below. Column I Column II A. Velocity is proportional to p. `t` B. Displacement is proportional to q. `t^2` C. Work done is proportional to r. `t^3`
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Assertion: Stopping distance =`('Kinetic energy')/('Stopping force')`. Reason: Work done in stopping a body is equal to change in kinetic energy of the
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Assertion: A spring of force constant `k` is cut into two pieces having lengths in the ratio 1 : 2. The force constant of series combination of the two parts is `2k'/'3`. Reason: The spring connected in series are represented by `k= k_1+
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Assertion: According to the law of conservation of mechanical energy, change in potential energy is equal and opposite to the change in kinetic energy. Reason: Mechanical energy is not
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Assertion: Decrease in mechanical energy is more in case of an object sliding up a relatively less inclined plane due to friction.Reason: The coefficient of friction between the block and the surface decreases with the increase in the angle of
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Assertion: For looping a vertical loop of radius `r`, the minimum velocity at lowest point should be `sqrt(5gr)`. Reason: In this event, the velocity at the highest point will be
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Assertion: Kilowatt-hour is the unit of energy. Reason: One kilowatt hour is equal to `3.6 xx 10^6
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