Questions in Laws of Motion

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The velocity of a body at time t = 0 is $10\sqrt 2 $ m/s in the north-east direction and it is moving with an acceleration of 2 m/s2 directed towards the south. The magnitude and direction of the velocity of the body after 5 sec will be
A body of mass 5 kg starts from the origin with an initial velocity $\overrightarrow {u\,} \, = \,30\hat i + 40\hat j\,m{s^{ - 1}}$. If a constant force $\overrightarrow {F\,} = - (\hat i + 5\hat j)N$ acts on the body, the time in which the y–component of the velocity becomes zero is
A body of mass 8kg is moved by a force $F = 3x\,N,$ where $x$ is the distance covered. Initial position is $x = 2\,m$ and the final position is $x = 10$m. The initial speed is $0.0m/s.$ The final speed is
The linear momentum p of a body moving in one dimension varies with time according to the equation $p = a + b{t^2}$, where a and b are positive constants. The net force acting on the body is
A ball of mass 0.5 kg moving with a velocity of 2 m/sec strikes a wall normally and bounces back with the same speed. If the time of contact between the ball and the wall is one millisecond, the average force exerted by the wall on the ball is
A particle moves in the xy-plane under the action of a force F such that the components of its linear momentum p at any time t are ${p_x} = 2\cos t$, ${p_y} = 2\sin t$. The angle between F and p at time t is
n small balls each of mass m impinge elastically each second on a surface with velocity u. The force experienced by the surface will be
A ball of mass 400 gm is dropped from a height of 5m. A boy on the ground hits the ball vertically upwards with a bat with an average force of 100 newton so that it attains a vertical height of 20 m. The time for which the ball remains in contact with the bat is $[g = 10\,m/{s^2}]$
The time in which a force of 2 N produces a change of momentum of $0.4\,kg - m{s^{ - 1}}$ in the body is
A gun of mass $10kg$ fires 4 bullets per second. The mass of each bullet is 20 g and the velocity of the bullet when it leaves the gun is $300\,m{s^{ - 1}}.$ The force required to hold the gun while firing is

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