Question

What is the force of gravity on a body of 150kg lying on the surface of the earth (mass of earth = 6×10^24kg;radius of earth=6.4×10^6m;G=6.7×10^_11Nm^2/kg^2

Answer 1

just use the formula then you can happens

Answer 2

Answer:

Given :-

Mass of body :- 150kg

Mass of earth :- 6 × 10²⁴kg

Radius of earth :- 6.4 × 10⁶ m

Gravitational constant :- 6.7 × 10^11

To Find :-

Gravitational force

Solution :-

We know :-

$\underline{\boxed{ \bf F = \dfrac{GMm}{ {r}^{2} }}}$

G = Gravitational constant

M = Mass of earth

m = Mass of body

r = Radius of earth

Substitute the values :-

$: \implies \sf F = \dfrac{6.7 \times {10}^{ - 11} \times 6 \times {10}^{24} \times 150 }{ ({6.4 \times {10}^{6} }^{2}) }$

$: \implies \sf F = \dfrac{6.7 \times 6 \times 15 \times {10}^{14} }{6.4 \times 6.4 \times {10}^{12} }$

$: \implies \sf F = 14.72 \times {10}^{2}$

$: \implies \sf F = 1472$

Gravitational force :- 1472 N