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1 markConservation of Energy

CAPE Physics Unit 1 · 2001 · Paper 2 · Question 4(c)(ii)

A car of mass 1.5 x 10³ kg increases its speed from 10 m s⁻¹ to 30 m s⁻¹ while moving 400 m up a hill inclined at an angle α to the horizontal, where sin α = 1/10. A constant frictional force of 200 N resists the car's motion.

From an energy consideration, calculate the driving force of the engine.

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Other parts of this question

  1. 4(a)Explain what is meant by energy and distinguish between potential energy and kinetic energy.[3 marks]
  2. 4(b)(i)What do you understand by the conservation of energy? Illustrate your answer by making reference to the energy changes when a body falls to the ground.[5 marks]
  3. 4(b)(ii)Hence derive an expression for the velocity of the body as it hits the ground.[1 mark]
  4. 4(c)(i)From an energy consideration, calculate the work done by the engine.[12 marks]
  5. 4(c)(iii)From an energy consideration, calculate the power developed by the engine at 30 m s⁻¹.[1 mark]

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