Question

A hot air balloon lifts a gondola full of people off the ground.

What is the mass of the gondola if the force on the balloon is ​1200 N and it has an upward acceleration of ​​2.4 m/s2 ?

A
51.0 kg

B
98.4 kg

C
162.2 kg

D
293.9 kg

Answer 1

The correct answer is C.

Explanation:

Given, net force, F = 1200 N

Upward acceleration = 2.4 m/s²

Downward acceleration= Acceleration due to gravity= 9.8 m/s²

Net acceleration, a= 9.8-2.4 = 7.4 m/s²

Force on an object of mass m is given by relation,

F= ma

∴ Mass of the gondola = $\frac{Force on the gondola}{Net acceleration}$

Substituting the values,

M= $\frac{1200}{7.4}$

=162.2 kg