What happens when the same ball, fired at the same speed, is shot at the same club if we clamp the club (or, rather, have a human hold it)...
Calling all collision experts
lia,
Discussions regarding “heavy hit” are a recurrent theme on golf forums. There is usually mentioning of golf clubs attached to trains or other heavy vehicles. It is indeed a rather attractive intuitive notion. Even a reputable scientist such a Mindy Blake, author of two golf books, firmly believed in the “heavy hit”. About 40 years ago he wrote:
'It is widely accepted that the critical factor in determining the distance a golf ball travels is clubhead speed at impact. This is not true. Supporters of that view do their mathematics on the assumption that the clubhead is a free-moving object colliding with a golf ball. In fact, a golf ball is not a free-moving object. It is an extension of the body, gripped by the hands, and the critical factor in determining the distance a golf ball travels is pressure applied to it or, to put this in a more scientific way, the application of force through distance.”
In another golf book - How to hit a golf ball straight, (1967) by Ike S. Hardy - equally with adamant views on the "heavy hit":
“Speed in the clubhead is NOT the power which drives a golf ball”.
“No degree of speed in the clubhead will supplant the power of swinging the weight of the body into the stroke”
TGM is also of the same school of thinking. Notwithstanding the appeal of it all, it is incorrect. The clubhead constitutes for all practical purpose a free mass for the short time interval of impact. Our intuition and reaction time are not really geared to handle the very large impact forces which are so short-lived, 0.0004 sec.
Hence the problem as posed is simplified realizing that hitting a stationary ball with a golf club or firing a ball at a stationary golf club held by a golfer or attached to a vehicle can be considered both as a collision of two masses, one moving and one stationary. The clubhead in both cases acts as a free mass during the small time interval of the collision. The hosel will add some mass but the clubhead is essentially decoupled from the golfer during impact, for both cases.
Here are some calculations. Simple head-on collision is considered, no oblique angles.