3. A block with mass m is in rest on a frictionless, circular guide with radius R, in the position indicated with the angle 0. A small ledge (in black on the figure) prevents the mass from sliding downwards. At t = 0 s, a bullet with mass m' is fired from the position indicated with distance d, with a velocity Vo inclined with angle e' with respect to the horizontal. The bullet hits the block and after this impact, which is very short in time, the bullet remains in the block. A) Determine vo and 0' ,with which the bullet is fired, so that the block will reach the highest point of the guide. B) Determine the external impulse that is applied during the impact on the system block m + bullet m'. C) How much energy is lost during the impact? Data: m = 2 kg, 0 = 30°, R = 2 m, m' = 400 g, d = 2 m

3. A block with mass m is in rest on a frictionless, circular guide with radius R, in the position indicated with the angle 0. A small ledge (in black on the figure) prevents the mass from sliding downwards. At t = 0 s, a bullet with mass m' is fired from the position indicated with distance d, with a velocity Vo inclined with angle e' with respect to the horizontal. The bullet hits the block and after this impact, which is very short in time, the bullet remains in the block. A) Determine vo and 0' ,with which the bullet is fired, so that the block will reach the highest point of the guide. B) Determine the external impulse that is applied during the impact on the system block m + bullet m'. C) How much energy is lost during the impact? Data: m = 2 kg, 0 = 30°, R = 2 m, m' = 400 g, d = 2 m