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The displacement x of an object is given as a function of time, x = 2/ + 3/2. The instantaneous velocity of the object at t = 2 s
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The average velocity of a body moving with uniform acceleration travelling a distance of `3.06 m` is `0.34 ms^(-1)`. If the change in velocity of the body is `0.18 ms^(-1)` during this time, its uniform acceleration
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The `x-t` graph for motion of a car is given belowWith reference to the graph, which of the given statement(s) is/are
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Uniformly Accelerated Motion- The velocity of an object, in general, changes during its course of motion. Initially, at the time of Galileo, it was thought that, this change could be described by the rate of change of velocity with distance. But, through his studies of motion of freely falling objects and motion of objects on an inclined plane, Galileo concluded that, the rate of change of velocity with time is a constant of motion for all objects in free fall.This led to the concept of acceleration as the rate of change of velocity with time. The motion in which the
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Find the correct option about vector
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Magnitude of a vector `Q` is 5 and magnitude of its `y`-component is 4. So, the magnitude of the `x`-component of this vector
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The sides of a parallelogram are represented by vectors `p=5hati - 4hatj+3hatk and q=3hati + 2hatj - hatk`. Then, the area of the parallelogram
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If `a • b = |a xx b |`, then the angle ` theta` between `a and b` will
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The ceiling of a hall is `30 m` high. A ball is thrown with `60 ms^(-1)` at an angle `theta`, so that it could reach the ceiling of the hall and come back to the ground. The angle of projection `theta` that the ball was projected is given
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The force `F` acting on a particle of mass `m` is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from `0` to `8s`
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A particle of mass `m` is moving in a straight line with momentum `p`. Starting at time `t = 0`, a force `F= kt` acts in the same direction on the moving particle during time interval `T,` so that its momentum changes from `p` to `3p`. Here, `k` is a constant. The value of `T`
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Suppose a light-weight vehicle (say, a small car) and a heavy weight vehicle (say, a loaded truck) are parked on a horizontal road. Then, which of the following statement is correct
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Assertion If we consider system of two bodies `A and B` as a whole, `F_(AB) and F_(BA)` are internal forces of the system `(A + B)`. They add to give a null force. Reason: Internal forces in a body or a system of particles cancel away in
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Momentum of a body is the quantity of motion possessed by the body. It depends on the mass of the body and the velocity with which it moves.When a bullet is fired by a gun, it can easily pierce human tissue before coming to rest resulting in casualty. The same bullet fired with moderate speed will not cause much damage. The greater the change in momentum in a given time, the greater is the force that needs to be applied. The second law of motion refers to the general situation, where there is a net external force rating on the
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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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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 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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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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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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