Question

A helicopter is flying at a height of 1.5km. If it has 50MJ of G.P.E., what is the mass of the helicopter?

Answer 1

Answer:

3401.36 kg

Explanation:

Applying

P.E = mgh................... Equation 1

Where P.E = potential energy of the helicopter, m = mass of the helicopter, h =  height of the helicopter.

make m the subject of the equation

m = P.E/gh................ Equation 2

Given: h = 1.5 km = 1500 m, P.E = 50 MJ = 50×10⁶ J

Constant: g = 9.8 m/s²

Substitute into equation 2

m = 50×10⁶/(1500×9.8)

m = 50×10⁶/14700

m = 3401.36 kg.

Hence the mass of the helicopter = 3401.36 kg

Answer 2

The mass of helicopter is of 3401.36 kg.

Given data:

The height raised by the helicopter is, h = 1.5 km =1500 m.

The gravitational potential energy of helicopter is, $U = 50 \;\rm MJ = 50 \times 10^{6} \;\rm J$.

The gravitational potential energy is the energy of any object by virtue of its position. The mathematical expression for the gravitational potential energy is,

U = mgh

here, g is the gravitational acceleration and m is the mass of the Helicopter.

Solving as,

$50 \times 10^{6} = m \times 9.8 \times 1500\\\\m =3401.36 \;\rm kg$

Thus, we can conclude that the mass of helicopter is of 3401.36 kg.

Learn more about the gravitational potential energy here:

https://brainly.com/question/3884855