(i)[5]
Determine the acceleration of the blocks and the tension in the string.
(ii)[2]
At one instant, the blocks have speed $1\,\text{m s}^{-1}$. Find the time taken after this instant for the blocks to move $0.65\,\text{m}$.
Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
Blocks $A$ and $B$, with masses $4\,\text{kg}$ and $5\,\text{kg}$ respectively, are connected by a light inextensible string. They are at rest on a smooth plane inclined at angle $\alpha$ to the horizontal, where $\tan \alpha = \frac{7}{24}$. The string lies parallel to a line of greatest slope of the plane, with $B$ positioned above $A$. A force of magnitude $36\,\text{N}$ acts on $B$, parallel to a line of greatest slope of the plane (see diagram).