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`

Step-by-step 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* 70]g=[260+3* 70]a\\\Rightarrow T=[260+3* 70](a+g)\\\Rightarrow T=[260+210](3+9.8)\\\Rightarrow T=470* 12.8\\\Rightarrow T=6016\ N`