MEDIUM
JEE Main
IMPORTANT
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A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv2 where v is its speed. The maximum height attained by the ball is :

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Important Questions on Work, Energy and Power

MEDIUM
JEE Main
IMPORTANT
A person pushes a box on a rough horizontal platform surface. He applies a force of 200 N over a distance of 15 m. Thereafter, he gets progressively tired and his applied force reduces linearly with distance to 100 N. The total distance through which the box has been moved is 30 m. What is the work done by the person during the total movement of the box?
EASY
JEE Main
IMPORTANT
A bullet of mass 5 g, travelling with a speed of 210 m s-1 strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the wood. The rise of temperature of the bullet if the specific heat of its material is  0.030 g °C-1 1 calorie=4.2×107 ergs close to :
EASY
JEE Main
IMPORTANT
A body of mass 2 kg is driven by an engine delivering a constant power of 1 J s-1. the body starts from rest and moves in a straight line. After 9 s, the body has moved a distance (in m)….
MEDIUM
JEE Main
IMPORTANT
If the potential energy between two molecules is given by U=Ar6-Br12, then at equilibrium, separation between molecules, and the potential energy are:
MEDIUM
JEE Main
IMPORTANT
Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a completely inelastic collision and move together thereafter with a final speed which is half of their initial velocities of the two bodies (in degree) is -
MEDIUM
JEE Main
IMPORTANT
Particle A of mass m1 moving with velocity 3i^+j^ms1 collides with another particle B of mass m2 which is at rest initially. Let v1 and v2 be the velocities of particles A and B after collision respectively. If m1=2m2 and after collision v1i^+3j^ms1, the angle between v1 and v2 is :
MEDIUM
JEE Main
IMPORTANT
A particle m=1 kg slides down a frictionless track AOC starting from rest at a point A (height 2 m ). After reaching C, the particle continues to move freely in air as a projectile. When it reaches its highest point P (height 1 m ), the kinetic energy of the particle (in J ) is: (Figure drawn is schematic and not to scale; take g=10 m s-2 ) ______________.
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HARD
JEE Main
IMPORTANT
A body A of mass m=0.1 kg has an initial velocity of 3i^ m s-1. It collides elastically with another body B of the same mass which has an initial velocity of 5j^ m s-1. After the collision, A moves with a velocity v=4i^+j^ m s-1. The energy of B after the collision is written as x10 J. The value of x is