A trolley travels down a slope, as illustrated in Fig. 4.1. The slope is inclined at $25^{\circ}$ to the horizontal. A constant resistive force $F_R$ acts up the slope on the trolley. At time $t = 0$, the trolley has velocity $v = 0.50\,\text{m s}^{-1}$ down the slope. At time $t = 4.0\,\text{s}$, $v = 12\,\text{m s}^{-1}$ down the slope.
(a(i))[2]
Show that the acceleration of the trolley down the slope is about $3\,\text{m s}^{-2}$.
(a(ii))[2]
Calculate the distance $x$ travelled by the trolley down the slope from $t = 0$ to $t = 4.0\,\text{s}$.
(a(iii))[2]
On Fig. 4.2, sketch how the distance $x$ moved by the trolley changes with time $t$.
(b(i))[1]
Show that the component of the weight of the trolley down the slope is $8.3\,\text{N}$.
(b(ii))[2]
Calculate the resistive force $F_R$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use $a = \frac{v-u}{t}$ or $(12 - 0.5)/4$” …