# A body mass of 40 g is gravitational potential energy of 160 J on the ground. Given g = 10 m/s2, determine the value of the mass of the body

2
by ricardinho111
But mass is given??
The amount of the mass is 40 grams
if mass is given then what we have to find
i suppose 40g mass is resting on surface of a planet. question is to find that.

2014-07-18T19:06:02+05:30

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Potential Energy= Mass×Acceleration due to gravity×Height
P=m×g×h
P=160J, g=10m/s², m=40g= kg

Here height is unknown,
So we can write,

h=
h=40m

2014-07-22T19:49:31+05:30

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G = G M / R^2
R = radius of planet earth    G = gravitational constant = 6.67*10^-11
M = mass of earth .  m = 40g    we have find M
P. E. = G M m / R  = 6.67*10^-11 M 0.040 /R  = 160 Joules
=>  M = 26.68 * 10^14 R
P E / g = R  m   from formulas
=> 160 / 10 = R * 0.040  => R =  400 meters    => M = 400 * 26.68 * 10^14  kg