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A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass m2 collides with A with a velocity which is half v2 the instantaneous velocity v of A. The collision is completely inelastic. Then, the combined body:

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Important Questions on Work, Energy and Power

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JEE Main
IMPORTANT
A particle of mass m is projected with a speed u from the ground at an angle θ=π3 w.r.t. horizontal (x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity ui^. The horizontal distance covered by the combined mass before reaching the ground is:
MEDIUM
JEE Main
IMPORTANT
A body of mass 2 kg makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?
MEDIUM
JEE Main
IMPORTANT
A particle of mass m is moving with speed 2v and collides with a mass 2m moving with speed v in the same direction. After the collision, the first mass is stopped completely while the second one splits into two particles each of mass m, which move at an angle 45o with respect to the original direction. The speed of each of the moving particle will be
HARD
JEE Main
IMPORTANT
Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses m while C has mass M. Block A is given an initial speed v towards B due to which it collides with B perfectly inelastically. The combined mass collides with C, also perfectly inelastically. 56th of the initial kinetic energy is lost in the whole process. What is the value of M/m?
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HARD
JEE Main
IMPORTANT
A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force F, the maximum speed of the block is:
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EASY
JEE Main
IMPORTANT
A force acts on a 2 kg object so that its position is given as a function of time as x=3t2+5. What is the work done by this force in first 5 seconds?
HARD
JEE Main
IMPORTANT
A particle moves in one dimension from rest under the influence of a force that varies with the distance traveled by the particle as shown in the figure. The kinetic energy of the particle after it has traveled 3 m is:
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EASY
JEE Main
IMPORTANT
A body of mass m1 moving with an unknown velocity of v1 i^,  undergoes a collinear collision with a body of mass m2 moving with a velocity v2 i^. After the collision, m1 and m2 move with velocities of v3 i^ and v4 i^, respectively. If m2=0.5 m1 and v3=0.5 v1, then v1 is: