Question

A hot air balloon is rising with an acceleration of 3 m/sec2. The basket of the balloon has a mass of 260 kg. There are 3 people in the basket each with a mass of 70 kg. What is the tension in the cable holding the basket?

Answer 1

Answer: $6016\ N$

Explanation:

Given

Mass of basket is $M=260\ kg$

Mass of each person in the basket $m=70\ kg$

Acceleration of balloon is $a=3\ m/s^2$

Tension of the cable causes the bucket and 3 men to move upward with  $a=3\ m/s^2$

So, we can write

$\Rightarrow T-[260+3\times 70]g=[260+3\times 70]a\\\Rightarrow T=[260+3\times 70](a+g)\\\Rightarrow T=[260+210](3+9.8)\\\Rightarrow T=470\times 12.8\\\Rightarrow T=6016\ N$