Mathematics 9709/43 — October/November 2021

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

questions

marks

minutes

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

Q1MomentumNewton's Laws of MotionFree sample

Fig. 1

A metal post is driven vertically into the ground by dropping a heavy object onto it from above. The mass of the object is $120\text{ kg}$ and the mass of the post is $40\text{ kg}$ (see diagram). The object hits the post with speed $8\text{ m s}^{-1}$ and remains in contact with it after the impact.

(a)

Calculate the speed with which the combined post and object moves immediately after the impact.

(b)

There is a constant force resisting the motion of magnitude $4800\text{ N}$ .

Calculate the distance the post is driven into the ground.

The rest of this paper

5 more questions

Q2Forces and Equilibrium7M
Q3Energy, Work and Power · Kinematics of Motion in a Straight Line6M
Q4Energy, Work and Power · Newton's Laws of Motion · Forces and Equilibrium9M
Q5Kinematics of Motion in a Straight Line11M
Q6Forces and Equilibrium · Newton's Laws of Motion · Kinematics of Motion in a Straight Line12M

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