Question

Neglecting air resistance a 1.0 kg projectile has an escape velocity of about 11km/s at the surface of earth the corresponding escape velocity for a 2.0 kg projectile is?

need solution​

Answer 1

Answer:

Escape Velocity is independent to mass.

Answer 2

Given :

• escape velocity of a 1.0 kg projectile= 11km/s

To find :

• escape velocity for a 2.0 kg projectile

Formula used :

$V = \sqrt{ \dfrac{2GM}{r} }$

Where :-

• M = mass of earth
• r = radius of earth
• G = gravitational constant

Escape velocity : Minimum velocity required by a body to be projected to overcome the gravitational pull of the earth is called Escape velocity .

Solution :

It is given that escape velocity of a 1.0 kg projectile is 11km/s and now we have to find escape velocity for a 2.0 kg projectile.

But we know that :-

$V = \sqrt{ \dfrac{2GM}{r} }$

Clearly from the above expression we can see that escape velocity doesn't depend on mass of the body. It depends on mass of earth and radius. Therefore , escape velocity for 2.0 kg projectile remains unchanged as it is independent of mass.

Escape velocity for 2.0 kg projectile = 11 km/s

Answer : 11 km/s