Question

The hydraulic press shown in the figure is used to raise the mass M through a height of 5.0 mm by performing 500 J of work at the small piston. The diameter of the large piston is 10 cm while that of the smaller one is 2 cm}. The mass M is

• A. ${10}^{4}kg$
• B. ${10}^{3}kg$
• C. 100 kg
• D. ${10}^{5}kg$

Answer 1

The correct option is A ${10}^{4}kg$

Given,

Work done, $W=500J$

Height, $h=5mm=0.5\times {10}^{-2}m$

We have,

$W=Mgh$

Then,

$M=\frac{W}{gh}=\frac{500}{10\times 0.5\times {10}^{-2}}={10}^{4}kg$