Question

c) Potential energy
W Kinetic energy
(o) Choose the correct alterative:
@ Acceleration due to gravity increases with increasing altitude
() Acceleration due to gravity increases with increasing depth (assume the
be a sphere of uniform density).
(c) Acceleration due to gravity is dependent on mass of the body
1
(d) The formula GMm is more accurate than the formula mgo) for the
difference of potential energy between two points, and y, distance away from the
centre of the earth.
D) Does the escane snoed​

Answer 1

Explanation:

(a) Acceleration decreases according to formula g′=g(1−R2h),

where h is height and R is radius of earth.

(b) Acceleration decreases according to formula g′=g(1−Rd),

where d is depth and R is radius of earth.

(c) Acceleration due to gravity is given by the formula: g=Re2GMe

Hence, it is independent of mass of body, but is dependent on mass of earth.

(d) Gravitational potential energy is given by the

formula: U=−rGm1m2

g=Re2GMe assuming distance between object and earth is nearly equal to the radius of the earth.

Substituting the second equation in first, we get U≈mgh

Hence, the first formula is more accurate.