202301130941 Solution to 2014-IBHL-PHY-I-5

Two blocks of weight 5\,\mathrm{N} and 2\,\mathrm{N} are attached to two ropes, \textrm{X} and \textrm{Y}.

The blocks hang vertically. The mass of the ropes is negligible. What is the tension in \textrm{X} and the tension in \textrm{Y}?


Roughwork.

As always start with free-body diagrams. Take upward positive. First the lower block:

Then the higher block:

Or alternatively,

Ans. \begin{cases} T_\textrm{X}=7\,\mathrm{N} \\ T_\textrm{Y}=2\,\mathrm{N} \\ \end{cases}

This problem is not to be attempted.

202301130918 Solution to 2011-IBHL-PHY-I-3

A skydiver of mass 80\,\mathrm{kg} falls vertically with a constant speed of 50\,\mathrm{m\,s^{-1}}. The upward force acting on the skydiver is approximately

A. 0\,\mathrm{N}.
B. 80\,\mathrm{N}.
C. 800\,\mathrm{N}.
D. 4000\,\mathrm{N}.


Roughwork.

As always start with a free-body diagram.

Take upward positive. Write the equation of motion by Newton’s 2nd law:

\begin{aligned} \mathbf{F}_{\textrm{net}} & = m\mathbf{a} \\ f-mg & = m(0) \\ f & = mg \\ & \approx (80)(10) \\ & = 800 \\ \end{aligned}

And the answer is C.

This problem is not to be attempted.