Having a lot of difficulty with these two questions Question 1 Refer to the hydr

Question

Having a lot of difficulty with these two questions

Question 1

Refer to the hydraulic lift shown in the figure. The diameter of the larger piston is 0.44 m, and the diameter of the small piston is 0.044 m. Determine the force needed to apply to the small piston so that a car of mass 1,840 kg can be raised by the large piston. (Enter the magnitude in newtons.)

---------------N

Question 2

We consider a hot-air balloon of mass 237 kg (basket and envelope). The spherical envelope of the balloon has a diameter of 19 m when fully inflated. To what temperature (in °C) must the enclosed air be heated for the balloon to carry five standard men? Assume the surrounding air is at 20°C and is treated as an ideal gas. Use 29 g/mol for the molar mass of air. (Assume the mass of each standard man is 70 kg.)

-----------°C

Explanation / Answer

Here,

1) let the force needed is F

as the pressure on both sides must be equal

Fin/Ain = Fout/Aout

Fin/(pi * 0.044^2) = 1840 * 9.8/(pi * 0.440^2)

solving for Fin

Fin = 180.3 N

the force on the input piston is 180.3 N

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