Answer:
47 m/s
Explanation:
golf club mass, mc = 180 g
golf ball mass, mb = 46 g
initial golf club speed, vc1 = 47 m/s
final golf club speed, vc2 = 35 m/s
initial golf ball speed, vb1 = 0 m/s
final golf ball speed, vb2 = ? m/s
The total momentum is conserved, then:
mc*vc1 + mb*vb1 = mc*vc2 + mb*vb2
Replacing with data and solving (dimension are omitted):
180*47 + 46*0 = 180*35 + 46*vb2
vb2 = (180*47 - 180*35)/46
vb2 = 47 m/s