9709/43

Mathematics 9709/43October/November 2014

Cambridge AS Level · Mechanics · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Newton's Laws of Motion · Forces and Equilibrium · Kinematics of Motion in a Straight Line · Energy, Work and Power

Q1Energy, Work and PowerNewton's Laws of MotionFree sample

A car of mass 1400 kg1400\text{ kg} moves on a horizontal straight road. The resistance to the car’s motion is constant and equal to 800 N800\text{ N} and the power of the car’s engine is constant and equal to P WP\text{ W}. At an instant when the car’s speed is 18 m s118\text{ m s}^{-1} its acceleration is 0.5 m s20.5\text{ m s}^{-2}.

(i)

Find the value of PP.

3M
(ii)

The car continues and passes through another point with speed 25 m s125\text{ m s}^{-1}.

Find the car’s acceleration at this point.

2M

The rest of this paper

6 more questions
  • Q2Newton's Laws of Motion5M
  • Q3Forces and Equilibrium6M
  • Q4Kinematics of Motion in a Straight Line7M
  • Q5Forces and Equilibrium · Newton's Laws of Motion8M
  • Q6Newton's Laws of Motion · Kinematics of Motion in a Straight Line8M
  • Q7Newton's Laws of Motion · Energy, Work and Power · Forces and Equilibrium · Kinematics of Motion in a Straight Line11M
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