Answer all the questions in the spaces provided. (a) Complete Table 1.1 by stating whether each of the quantities is a vector or a scalar. Table 1.1 quantity vector or scalar --- --- acceleration electrical resistance momentum (b) State the conditions for an object to be in equilibrium. (c) A floating solid cylinder is attached by a wire to the sea bed, as shown in Fig. 1.1. The density of the water is $1.00 \times 10^{3}\ \text{kg m}^{-3}$. The base of the cylinder is at a…

Physics 9702/22 — May/June 2021

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

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Topics Physical Quantities and Units · Kinematics · Electricity · Forces, Density and Pressure · Deformation of Solids · Dynamics · +6 more

Q1Physical Quantities and UnitsForces, Density and PressureDeformation of SolidsFree sample

Answer all the questions in the spaces provided.

(a)

Complete Table 1.1 by stating whether each of the quantities is a vector or a scalar.

Table 1.1

quantity	vector or scalar
acceleration
electrical resistance
momentum

(b)

State the conditions for an object to be in equilibrium.

(c)

A floating solid cylinder is attached by a wire to the sea bed, as shown in Fig. 1.1.

Fig. 1.1

The density of the water is $1.00 \times 10^{3}\ \text{kg m}^{-3}$ . The base of the cylinder is at a depth of $0.190\ \text{m}$ below the surface of the water. The cylinder has a weight of $28\ \text{N}$ and a cross-sectional area of $0.0230\ \text{m}^2$ .

The wire and the central axis of the cylinder are both vertical. The cylinder is in equilibrium.

(i)

Calculate, to three significant figures, the upthrust acting on the cylinder due to the water.

upthrust = ______ $\text{N}$

(ii)

Show that the tension $T$ in the wire is $15\ \text{N}$ .

(iii)

The wire has a cross-sectional area of $3.2\ \text{mm}^2$ .

Calculate the stress in the wire.

stress = ______ $\text{Pa}$

(iv)

The surface of the water gradually rises until it is level with the top face of the cylinder.

State and explain, qualitatively, the variation of the strain energy stored in the wire as the water surface rises.

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