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What is meant by non-periodic motion? Give any two examples, for non-periodic motion.
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What is meant by the force constant of a spring?
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A ball is projected vertically upwards with a velocity v. It comes back to the ground in time t. Which v-t graph shows the motion correctly?
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A ball is dropped from some height towards the ground. Which one of the following represents the correct motion of the ball?
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If a particle executes uniform circular motion, choose the correct statement.
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What is non-uniform circular motion?
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Write down the kinematic equations for angular motion.
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Write down the expression for angle made by resultant acceleration and radius vector in the non-uniform circular motion.
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Derive the kinematic equations of motion for constant acceleration.
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Derive the equations of motion for a particle (a) falling vertically (b) projected vertically.
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Derive the equation of motion, range, and maximum height reached by the particle thrown at an oblique angle θ with respect to the horizontal direction.
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Derive the expression for total acceleration in the non-uniform circular motion.
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The Moon is orbiting the Earth approximately once in 27 days, what is the angle transversed by the Moon per day?
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A particle is projected at an angle of θ with respect to the horizontal direction. Match the following for the above motion.
(a) vx – decreases and increases
(b) vy – remains constant
(c) Acceleration – varies
(d) Position vector – remains downward
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A uniform force of `(2hati + hatj)` N acts on a particle of mass 1 kg. The particle displaces from position `(3hatj + hatk)` m to `(5hati + 3hatj)` m. The work done by the force on the particle is ______
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A ball of mass 1 kg and another of mass 2 kg are dropped from a tall building whose height is 80 m. After, a fall of 40 m each towards Earth, their respective kinetic energies will be in the ratio of ______
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A body of mass 1 kg is thrown upwards with a velocity of 20 ms−1. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction?.
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An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water of the jet. What is the rate at which kinetic energy is imparted to water?.
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A body of mass 4 m is lying in xy-plane at rest. It suddenly explodes into three pieces. Two pieces each of mass m move perpendicular to each other with equal speed v. The total kinetic energy generated due to explosion is ______
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The potential energy of a system increases, if work is done ______
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