Physics 9702 · AS & A Level · Equilibrium of forces

Equilibrium of forces — practice question

(a)[2]

Explain how distance and displacement differ.

(b)[1]

State Newton’s first law of motion.

(c)

As shown in Fig. 1.1, two tugs draw a tanker at constant velocity in the direction XY. Tug 1 exerts a force $T_1$ at $25.0^{\circ}$ to XY. Tug 2 exerts a force $T_2$ at $15.0^{\circ}$ to XY. The resultant force $R$ from the two tugs is $25.0 \times 10^3\text{ N}$ in the direction XY.

(c(i))[2]

Using the forces acting on the tanker, explain why the tanker can be described as being in equilibrium.

(c(ii).1)[2]

Complete Fig. 1.2 by drawing a vector triangle for the forces $R$, $T_1$ and $T_2$.

(c(ii).2)[2]

Use your vector triangle in Fig. 1.2 to determine the magnitude of $T_1$ and of $T_2$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Displacement has vector character, whereas distance has scalar character.

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