Question

If a person can jump on the earth's surface upto a height of 2m, his jump on a satellite where acceleration due to gravity is 1.96 m/s2, will be -
A) 5m. B) 10m
C) 20m. D) 2m​

Answer 1

B) 10m

Explanation:

Earth

Gravity, $g_e = 9.8 m/s^2$

height, $h_e = 2m$

Planet

Gravity, $g_p = 1.96 m/s^2$

height, $h_p = ?$

The ratio is $\frac {g_p}{g_e} = \frac {1}{5}$

Thus gravity value of the planet decreases by 5 times and height will increase by 5 times as compared to earth .

height, $h_p$ = height on earth, $h_e \times 5$

$= 2 \times 5\\= 10 m$

Thus, height is 10m.