TBAT Physics Free Mock 1

1. 1

   A 4 kg block slides down a frictionless 10 m incline ($\theta = 30^\circ$) starting from rest. At the bottom, it collides elastically with a 1 kg block at rest on a rough horizontal surface ($\mu = 0.25$). After the collision, the 1 kg block slides until it stops. Find the distance traveled by the 1 kg block. ($g = 9.8\text{ m/s}^2$, $\sin 30^\circ = 0.5$)

2. 2

   A 1 kg mass is attached to a spring ($k = 200\text{ N/m}$) and compressed $0.30\text{ m}$. It is released on a rough horizontal surface ($\mu = 0.15$) and moves toward a vertical wall. After hitting the wall elastically, it returns and stops due to friction. Find the total distance traveled. ($g = 10\text{ m/s}^2$)

3. 3

   A projectile is launched from the ground at $30\text{ m/s}$ at an angle of $37^\circ$ above the horizontal. At the highest point of its trajectory, it explodes into two equal masses; one piece falls vertically downward with zero initial horizontal velocity (stops instantly). Find the horizontal distance traveled by the other piece after the explosion, measured from the point of explosion. ($g = 10\text{ m/s}^2$, $\sin 37^\circ = 0.6$, $\cos 37^\circ = 0.8$)

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