Question

For a birthday gift, you and some friends take a hot-air balloon ride. One friend is late, so the balloon floats a couple of feet off the ground while you wait. Before this person arrives, the combined mass of the basket and people is 1140 kg, and the balloon is neutrally buoyant. When the late arrival climbs up into the basket, the balloon begins to accelerate downward at 0.49 m/s22. What is the mass of the last person to climb aboard?

Answer 1

Answer:60 kg

Explanation:

Given

mass of people =1140 kg

and balloon is neutral when 1140 kg is loaded in the balloon .

when another person come balloon started descending at the rate of 0.49 $m/s^2$

For initial condition

$F_b=mg$

$F_b=1140\times 9.8=11.172 KN$

For second case

$(1140+m)\times 9.8-F_b=(1140+m)\times 0.49$

$(1140+m)\times (9.8-0.49)=11.172 \times 10^3$

$1140+m=1200$

$m=60 kg$