Question

A particle is projected upwards from the surface of the earth with kinetic energy equal to half the minimum value for it to escape to which height does it rise above the surface of the earth​

Answer 1

Answer:

Kinetic energy change into macanical energy

Answer 2

Answer:

•The kinetic energy needed to escape from the surface is given as,

E=

2

1

mv

e

2

=

2

1

m(

R

e

2Gm

)

2

=

R

e

GMm

Since, the potential energy at the maximum height will be equal to the sum of half kinetic energy and the potential energy at the surface of the earth.

It can be written as,

−

R

e

GMm

+

2

1

R

e

GMm

=−

R

e

+h

GMm

2R

e

1

=

R

e

+h

1

h=R

e

The maximum height is R

e

.

Explanation:

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