Mars has about (1/10) th as much mass as the Earth and half as great a diameter. The acceleration of falling body on Mars is nearly

Question

Mars has about (1/10) th as much mass as the Earth and half as great a diameter. The acceleration of falling body on Mars is nearly (A) 9.8 ms -2 (B) 1.96 ms -2 (C) 3.92 ms -2 (D) 4.9 ms -2

Tardigrade Admin · Accepted Answer

dotg=(G M/R2) g text Mars =(G(M ∩ 0)/(R / 2)2)=(4/10) g=0.4 × 9.8 ms -2=3.92 ms -2

Q. Mars has about $\frac{1}{10}$ th as much mass as the Earth and half as great a diameter. The acceleration of falling body on Mars is nearly

$9.8 m s^{- 2}$

$1.96 m s^{- 2}$

$3.92 m s^{- 2}$

$4.9 m s^{- 2}$

$\overset{g}{˙} = \frac{GM}{R ^{2}}$
$g_{Mars} = \frac{G ( M \cap 0 )}{( R /2 ) ^{2}} = \frac{4}{10} g = 0.4 \times 9.8 m s^{- 2} = 3.92 m s^{- 2}$

Q. Mars has about 101​ th as much mass as the Earth and half as great a diameter. The acceleration of falling body on Mars is nearly

9.8ms−2

1.96ms−2

3.92ms−2

4.9ms−2