A dart with a mass og 50 g is thrown at 15 m/s and sticks into a 10-g apple hanging on a string. What is the velocity of the dart and apple just after the dart is embedded

Answer 1

Hello Jayleen

Assuming that the dart is hitting apple horizontally

Impact being inelastic, as dart gets embedded and the two move together,

Using conservation of linear momentum

mu= (m+M)V

m= mass of dart and M = mass of apple

u = initial speed of dart, v= speed of two together

v= mu/(m+M)

Now plug in m= 50g u= 15m/s and M= 10g

Find V ( m/s)