Physics 9702 · AS & A Level · Linear momentum and its conservation

Linear momentum and its conservation — practice question

As shown in Fig. 7.1, two parallel metal plates with opposite charges are placed in a vacuum. Each plate has length $L$. Between the plates, the electric field is uniform and has magnitude $E$. Outside the plates, the electric field is zero. A particle with mass $m$ and charge $+q$ is positively charged. Before entering the space between the plates, it moves parallel to them at speed $v$. It then travels through the gap and continues into the region past the plates.
(a(i))[2]

On Fig. 7.1, sketch the particle's path while it is between the plates and after it leaves them.

(a(ii)(1))[1]

For the particle in the region between the plates, state an expression, in terms of $E$, $m$, $q$, $v$ and $L$, as appropriate, for the force $F$ on the particle.

(a(ii)(2))[1]

For the particle in the region between the plates, state an expression, in terms of $E$, $m$, $q$, $v$ and $L$, as appropriate, for the time $t$ for the particle to cross the region between the plates.

(b(i))[2]

State the law of conservation of linear momentum.

(b(ii))[1]

Use your answers in (a)(ii) to state an expression for the change in momentum of the particle.

(b(iii))[2]

Suggest and explain whether the law of conservation of linear momentum applies to the particle moving between the plates.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Plausible upward-curving path between the plates

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