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v'₂ = 2v₁ / (m₁ + m₂) v'₂ = 2(5) / (2 + 3) = 2 m/s

Using the kinematic equation: s = ut + (1/2)at² s = 10(5) + (1/2)(2)(5)² = 50 + 25 = 75 m

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A 5 kg block is lifted vertically upwards from the ground to a height of 10 m. Find the gain in potential energy.

Using Newton's second law: F - f = ma 10 - f = 2(3) f = 4 N v'₂ = 2v₁ / (m₁ + m₂) v'₂

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A 2 kg ball collides elastically with a 3 kg ball at rest. The initial velocity of the 2 kg ball is 5 m/s. Find the final velocities of both balls. The initial velocity of the 2 kg ball is 5 m/s

Using the equation for elastic collisions: v'₁ = (m₁ - m₂)v₁ / (m₁ + m₂) v'₁ = (2 - 3)(5) / (2 + 3) = -1 m/s