Question

A planet has mass 1/10 of that of earth , while radius is 1/3 that of earth . If a person can throw a stone on earth surface to a height of 90 m , then he will be able to throw the stone on that planet to a height

Answer 1

Answer:

299.9094 m

Explanation:

g=GMm/r2

therefore g of earth= approx. 10m/s2

if the mass is 1/10 of earth and the radius is 1/3,

then g=(1/10GMm)/1/3r2  = 10/10*3  = 3m/s2

therefore g on that planet = 3m/s2

To find the initial velocity at which the object was thrown:

v2 = u2 + 2as

0 = u2 - 2*10*90  (since, g on earth = 10m/s2)

therefore u = 42.43

Now, to find the height reached on the other planet:

0 = 42.43*42.43 + 2*3*s

therefore s = 1799.46/6

=> s = 299.9

HOPE IT HELPS!!