Answer all the questions in the spaces provided. (a) Complete Fig. 1.1 by putting a tick ($\checkmark$) in the appropriate column to indicate whether the listed quantities are scalars or vectors. quantity scalar vector --- --- --- acceleration force kinetic energy momentum power work (b) A floating sphere is attached by a cable to the bottom of a river, as shown in Fig. 1.2. The sphere is in equilibrium, with the cable at an angle of $75^{\circ}$ to the horizontal. Assume…

Physics 9702/22 — February/March 2017

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

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Topics Dynamics · Physical Quantities and Units · Work, Energy and Power · Kinematics · Waves · Electric Fields · +5 more

Q1Physical Quantities and UnitsForces, Density and PressureFree sample

Answer all the questions in the spaces provided.

(a)

Complete Fig. 1.1 by putting a tick ( $\checkmark$ ) in the appropriate column to indicate whether the listed quantities are scalars or vectors.

quantity	scalar	vector
acceleration
force
kinetic energy
momentum
power
work

Fig. 1.1

(b)

A floating sphere is attached by a cable to the bottom of a river, as shown in Fig. 1.2.

Fig. 1.2

The sphere is in equilibrium, with the cable at an angle of $75^{\circ}$ to the horizontal. Assume that the force on the sphere due to the water flow is in the horizontal direction.

The radius of the sphere is $23\ \text{cm}$ . The sphere is solid and is made from a material of density $82\ \text{kg m}^{-3}$ .

(i)

Show that the weight of the sphere is $41\ \text{N}$ .

(ii)

The tension in the cable is $290\ \text{N}$ .

Determine the upthrust acting on the sphere.

upthrust = ______ $\text{N}$

(iii)

Explain the origin of the upthrust acting on the sphere.

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