A 910 gram bullet is fired into a 30.0 kg block of 293 K ballistic gel....
A 910 gram bullet is fired into a 30.0 kg block of 293 K ballistic gel. The bullet and the block then combine and slide 1.06 m across the floor (uk=0.20) to a stop where the block of gel reaches a temperature of 302 K, Estimate the speed of the projectile before it hit the block? Please show work!!
Homework Answers
KE = work done by friction + heat
0.5*(m1+m2)*V^2 = u*N*d + msdT
specific heat of ballistic gel = 1.439 x10^3 J/Kg K
0.5*(30+0.91)*V^2 = 0.2*(30+0.91)*9.8*1.06 + (30+0.91)*1.439 x10^3*(302-293)
V^2 = 160.97 m/s
conservation of momentum
m1u1 + m2u2 = (m1+m2)*V
0.91*u1 + 0 = (30+0.91)*160.97
u1 = 5467.68 m/s
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