arrow
arrow
arrow
​The escape velocity for a body of mass 1kg from earth's surface is 11.2kms−1\text{kms}^{-1}kms−1​ the escape velocity for a body of mass 100 kg
Question

The escape velocity for a body of mass 1kg from earth's surface is 11.2kms1\text{kms}^{-1} the escape velocity for a body of mass 100 kg would be:

A.

11.2×102 kms111.2×10^2\space\text{kms}^{-1}​​

B.

112 kms1112\space\text{kms}^{-1}​​

C.

11.2 kms111.2\space\text{kms}^{-1}​​

D.

1.12 kms11.12\space\text{kms}^{-1}​​

Correct option is C

Given:The escape velocity for a body of mass 1 kg from Earth’s surface is 11.2 km/s.We need to find the escape velocity for a body of mass 100 kg.Explanation:The escape velocity from the surface of the Earth is independent of the mass of the object. It depends onlyon the mass of the Earth and the distance from the Earth’s center (which is constant for objects on theEarth’s surface).The formula for escape velocity is:ve=2GMRWhere:ve is the escape velocity,G is the gravitational constant,M is the mass of the Earth,R is the radius of the Earth.Notice that the escape velocity is independent of the mass of the object. This means the escape velocity for abody of mass 100 kg is the same as for a body of mass 1 kg.The escape velocity is given as 11.2 km/s for a body of mass 1 kg.For a body of mass 100 kg, the escape velocity will still be 11.2 km/s.\text{Given:} \\\bullet \text{The escape velocity for a body of mass 1 kg from Earth's surface is 11.2 km/s.} \\\bullet \text{We need to find the escape velocity for a body of mass 100 kg.} \\\text{Explanation:} \\\text{The escape velocity from the surface of the Earth is independent of the mass of the object. It depends only} \\\text{on the mass of the Earth and the distance from the Earth's center (which is constant for objects on the} \\\text{Earth's surface).} \\\text{The formula for escape velocity is:} \\v_e = \sqrt{\frac{2GM}{R}} \\\text{Where:} \\\bullet v_e \text{ is the escape velocity,} \\\bullet G \text{ is the gravitational constant,} \\\bullet M \text{ is the mass of the Earth,} \\\bullet R \text{ is the radius of the Earth.} \\\text{Notice that the escape velocity is independent of the mass of the object. This means the escape velocity for a} \\\text{body of mass 100 kg is the same as for a body of mass 1 kg.} \\\bullet \text{The escape velocity is given as 11.2 km/s for a body of mass 1 kg.} \\\bullet \text{For a body of mass 100 kg, the escape velocity will still be 11.2 km/s.}​​

test-prime-package

Access ‘AAI JE ATC’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
194k+ students have already unlocked exclusive benefits with Test Prime!
test-prime-package

Access ‘AAI JE ATC’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
194k+ students have already unlocked exclusive benefits with Test Prime!