Please show your calculations
AhhhUgggg. I said I'll stop, but I'll show you the numbers. I did these off the cuff.
Assumptions.
40 grain .22 lr traveling at 1,000 f/s.
A child rolling a 6 lb bowling ball at 10 mph (14.6 f/s) when it hits the pin - It will probably still knock down a pin even at 5 mph, but lets use 10 mph. The ball has a radius of 4.25" or .375 feet.
For the bullet the momentum is m*v where m is in slugs and v is in f/s. To convert 40 grain to slugs m=40/7000/32.2 = .000177. The momentum = .000177*1100 = 0.195 slug-ft/s.
The KE of the bullet is .5*m*v^^2 = .5*.195*(1100^^2) = 107 ft-lb.
The total momentum of the bowling ball = the transitional momentum + angular momentum. Transitional momentum = m*v. Angular momentum = Inertia (I) * Angular Velocity (w)
The mass of the bowling ball is 6/32.2 = .186 slugs. The Transitional Momentum is .186*14.6 = 2.72 slug-ft/s.
I = 2/5*m*r^^2 = 2/5*.186*(.354^^2) = .009 slug-ft^^2
w = v/r = 14.6/.354 = 41.2 rad/sec
Transitional momentum = 2.72 + .385 = 3.11 slug-ft/s
The bowling ball kinetic energy = Transitional KE + Rotational KE = .5*m*v^^2 + .5*I*w^^2
Trans KE = .5*.186*(14.6^^2) = 19.9 ft-lb
Rot KE = .5*.009*41.2 = 7.94 ft-lb
Total KE = 27.8 ft-lb
Bottom line...
A .22 with 107 ft-lb of KE and .195 slug-ft/s of momentum can't knock down a bowling pin, but can damage it.
A 6 pound bowling ball rolled by a child at 10 mph with 27.8 ft-lb of KE and 3.11 slug-ft/s of momentum can knock down a bowling pin and won't damage it.
I didn't double check the numbers, but I think they close. Like I said, I'm done.