NEET Physics — Laws of Motion

A \( 10 \, \text{kg} \) block on a horizontal surface (\( \mu_k = 0.2 \)) is pulled by a \( 6 \, \text{kg} \) mass over a pulley. A \( 20 \, \text{N} \) force opposes the \( 10 \, \text{kg} \) block. What is the acceleration? (Take \( g = 10 \, \text{m/s}^2 \))

A \( 7 \, \text{kg} \) block on a horizontal surface (\( \mu_k = 0.3 \)) is pulled by a \( 4 \, \text{kg} \) mass over a pulley. A \( 14 \, \text{N} \) force opposes the \( 7 \, \text{kg} \) block. What is the acceleration? (Take \( g = 10 \, \text{m/s}^2 \))

A \( 1350 \, \text{kg} \) car turns on a banked road (\( \theta = 25^\circ \)) with radius \( 50 \, \text{m} \) at the optimum speed to avoid friction. What is the speed? (Take \( g = 10 \, \text{m/s}^2 \), \( \tan 25^\circ \approx 0.466 \))

A \( 0.26 \, \text{kg} \) ball moving at \( 22 \, \text{m/s} \) at \( 60^\circ \) to a wall rebounds at the same speed and angle. What is the impulse perpendicular to the wall? (Take \( \sin 60^\circ = 0.866 \), \( \cos 60^\circ = 0.5 \))

A \( 9 \, \text{kg} \) block on a horizontal surface (\( \mu_k = 0.25 \)) is pulled by a \( 5 \, \text{kg} \) mass over a pulley. A \( 15 \, \text{N} \) force aids the \( 9 \, \text{kg} \) block. What is the tension? (Take \( g = 10 \, \text{m/s}^2 \))