Physics 9702 · AS & A Level · Density and pressure

Density and pressure — practice question

A cylindrical disc with mass $0.24\,\text{kg}$ and a circular cross-sectional area $A$ is shown in Fig. 3.1. It rests on horizontal ground, as in Fig. 3.2. A force X, with magnitude $8.9\,\text{N}$, acts at an angle of $30^{\circ}$ to the horizontal. The disc moves across the ground at constant speed $0.60\,\text{m s}^{-1}$.
(a)[2]

Determine the rate at which force X does work on the disc.

(b)[3]

The force X together with the disc’s weight produces a combined pressure of $3500\,\text{Pa}$ on the ground. Calculate the cross-sectional area $A$ of the disc.

(c(i))[1]

Newton’s third law says that forces occur in pairs. One pair consists of the disc’s weight and force Y. State the direction of force Y.

(c(ii))[1]

State the name of the body on which force Y acts.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: $P = Fv$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI