Consider a model rocket of mass m = 0.20 kg which is launched from the surface of the Earth at an angle of 10° to the ve

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Consider A Model Rocket Of Mass M 0 20 Kg Which Is Launched From The Surface Of The Earth At An Angle Of 10 To The Ve 1 (87.18 KiB) Viewed 29 times

Consider a model rocket of mass m = 0.20 kg which is launched from the surface of the Earth at an angle of 10° to the vertical. You may assume that the rocket does not rotate, that its mass is constant, and that air resistance is negligible. (a) The rocket's engine provides an impulse of Ap = 15 N s. The engine burns for 2.8 s, providing a constant force. (i) Show that N s is equivalent to kg m s-¹ (the SI unit of momentum). (ii) Draw a force diagram showing the forces acting on the centre of mass of the rocket immediately after the rocket leaves the ground. (iii) Calculate the horizontal and vertical components of the rocket's acceleration while the engine is burning. (b) After 2.8 s the engine cuts out and for the remainder of its journey the rocket moves under the influence of gravity alone. The vertical component of the rocket's velocity at the start of this phase of its motion is 46.4 m s-¹. (i) Calculate the maximum height reached by the rocket. (ii) The rocket's trajectory continues until it hits the ground. Sketch a rough graph showing the rocket's kinetic energy against time, from the moment at which the engine cuts out until the rocket hits the ground.