Solutions to Real Test 3 |
1. |
2. (a) left (b) right (c) m1g h = ½m1v1i2 so that v1i = 9.9 m/s ... Use (A) m1v1i = m1v1f + m2v2f and use v1i - v2i = 9.9 - 0 = v2f - v1f or (B) 9.9 = v2f - v1f Solve (A) and (B) for v1f = -3.3 m/s and v2f= 6.6 m/s Use m2g h2 = ½m2v2f2 so that h2 = 2.2 m (d) m1g h1 = ½m1v1f2 so that h1 = 0.56 m |
3.(a) M2gH = ½(M1 + M2)V2 + ½I·V2/R2 .... Be careful that both masses are moving!! V= 3.13 m/s (b) V2 = 2aH so that a = 2.45 m/s2 |
4. MgH = ½MV2 + ½I·v2/R2 so that v = 5.11 m/s = answer to part (b) (a) w = v/R = 5.11 m/s |