:) A toy rocket of mass 5 kg is launched upwards with sufficient speed to reach a maximum height of 25 m. (i) Calculate the launch speed of the toy rocket. (ii) Calculate the momentum of the toy rocket at a height of 20 m. (iii) Sketch a graph to show the variation of the kinetic energy of the toy rocket with

a) Two carts with equal mass travel towards each other with speeds 5ms- and 2ms1 respectively. If the carts coalesce (combine) after the collision what is the new speed of the two carts. b) Find the % change in the amount of kinetic energy after the collision

6) Consider an atomic nucleus that's moving at a speed of 500m/s. This nucleus emits an alpha particle (=nucleus of a Helium atom) in the direction of its velocity, and the new nucleus (produced by the emission of the alpha particle) slows to 450m/s. If the alpha particle has a mass of 4u and the original nucleus has a mass of 208u, what speed does the alpha particle have when it is emitted? (Here u is the atomic mass unit. You could take for u the value of the proton mass, i.e. u= m, = 1.67 × 10-27kg.)

Is the following statement true? If not, why? Within the system, both the momentum and kinetic energy are conserved during each of the collisions ( spring-loaded elastic, hoop spring, and putty collisions).

Answer question 8