Question 1 (5 Marks) A bullet of mass 30 g is red at a speed of 1440 km/h into a target. The bullet remains inside the target after hitting it. The target has a mass of 10 kg and is suspended by two ropes so that it can swing. If there is negligible air resistance, and assuming the ropes are of negligible mass: at) Calculate the velocity of the target (in m/s) immediately after the bullet becomes fully embedded in the target. [2] b) Calculate the maximum vertical height in mm when the target rises from its initial position as it recoils with the bullet lodged inside. [3] You may detach this page. Gravitational acceleration on Earth g = 9.8 ms -2 Speed of light in a vacuum C = 3.00 x 108 ms-1 Refractive index of air nair = 1.000 Vfs - Vis ac = Ufs = Vis + ast t 1 S = Vist+-at2 Ufs = Vis + 2ass Fnet = ma T = FXr F = -kx my2 F = = mrw 2 r v = rw p = mv Ap = Ft = Pf - Pi W = F 'S W P = - t Ek = =mv2 Ep = mgh E = -kx2 v = af Vw y = Asin 2nift + - 2nx fobs = Is V F Us fobs = fs Vw + Vobs fB = If1 - f2l na = d sin 0 Vw (n+ - )1 = d sine n, sin 01 = n2 sin 02 sin Oc = n1 1 1 hi -di -+ di M = ho do