Calculating average force - momentum problem

[AgentRedfield]

Homework Statement

A golf ball is struck by a golf club at 55 m/s at an angle of 28.0° above the horizontal. The mass of the ball is 45 grams and is in contact with the golf club for 15 ms. Calculate the average force exerted on the ball by the club.

Homework Equations

p_i + FΔt = p_f
p = mΔv
a = Δv/t

The Attempt at a Solution

I'm really confused because it doesn't seem like I have enough information to solve the problem. Don't I need to know the mass of the golf club?

 

[verty]

I would assume two things, the golf club has infinite mass and the collision is elastic, so the golf ball will leave the club at 110 m/s (do you agree?). Otherwise you are right, there is not enough information.