Answer:
5 m/s
Explanation:
From the law of conservation of momentum,
mu+m'u' = V(m+m') ................... Equation 1
Where m = mass of the dart, m' = mass of the apple, u = initial velocity of the dart, u' = initial velocity of the apple, V = the velocity of the dart and the apple after after they are embedded.
Making V the subject of the equation,
V = (mu+m'u')/(m+m') ................. Equation 2
Given: m = 50 g = 0.05 kg, m' = 100 g = 0.1 kg, u = 15 m/s, u' = 0 m/s ( at rest)
Substitute into equation 2
V = (0.05×15+0.1×0)/(0.05+0.1)
V = 0.75/0.15
V = 5 m/s.
Hence the velocity of the dart and apple = 5 m/s
