Question

65.
A particle of mass "m" is at a distance
"R"
from
2
centre of earth then its potential energy will be :-
[R → Radius of earth, M → Mass of earth)
GMm
(1) -
2R
3GMm
(2)
2R
3GMm
(3) -
4R
11GMm
(4
)
8R​

Answer 1

Answer:

this question is asked from Allen book physics module 2 page 221 question number 65 and correct option is (4)

Answer 2

The potential energy will be -2GMm/R

Given:

The radius of the earth = r

The mass of the earth = m

Distance = r/2

To Find:

The potential energy

Solution:

The potential energy that a massive item has in relation to another massive object due to gravity is gravitational potential energy. When two objects descend toward one another, potential energy associated with the gravitational field is released.

Because the particle's attraction to the Earth's centre causes the potential energy to drop as it approaches, so the formula's negative sign implies that the potential energy is negative.

Using the formula of gravitational potential energy

= -GMm/r

Substituting the value = R/2

PE = -2GMm/R

Answer: The potential energy will be -2GMm/R

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