Physics 9702 · AS & A Level · Scalars and vectors

Scalars and vectors — practice question

(a)[1]

Distinguish between scalars and vectors.

(b)[2]

Underline every vector quantity in the list below. acceleration, kinetic energy, momentum, power, weight

(c)[2]

A force of $7.5\,\text{N}$ acts at $40^{\circ}$ to the horizontal, as shown in Fig. 1.1. Calculate the component of the force that acts (i) horizontally, (ii) vertically.

(c(i))[1]

Calculate the horizontal component of the force.

(c(ii))[1]

Calculate the vertical component of the force.

(d)[4]

Two strings hold a load with weight $7.5\,\text{N}$, as shown in Fig. 1.2. One string has tension $T_1$ and makes an angle $50^\circ$ to the horizontal. The second string has tension $T_2$ and makes an angle $40^\circ$ to the horizontal. The object is in equilibrium. Find $T_1$ and $T_2$ by using a vector triangle or by resolving forces.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: A scalar has magnitude/size only, while a vector has magnitude/size plus direction

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