Gravitation

Question : 2 of 25

Marks: +1, -0

Choose the correct alternative :

(a) Acceleration due to gravity increases/decreases with increasing altitude.

(b) Acceleration due to gravity increases/decreases with increasing depth (assume the earth to be a sphere of uniform density).

(d) The formula

-GMm\left(\frac{1}{r_2} - \frac{1}{r_1}\right)

is more/less accurate than the formula

mg(r_2 - r_1)

for the difference of potential energy between two points

r_2

and

r_1

distance away from the centre of the earth.

Solution:

(a) Acceleration due to gravity g decreases with increasing altitude as

g' = g \frac{R}{(R+h)^2}

(b) Acceleration due to gravity g decreases with depth as

g' = g \left(1 - \frac{d}{R}\right)

where d is the depth.

g = \frac{G M_e}{R_e^2}

Therefore, g is independent of mass of body

(d) More

Go to Question:

Prev Question

Next Question