Given that the acceleration of gravity at the surface of Mars is0.38 of what it is one Earth, and that Mars' radius is 3400 km, determine the mass of Mars.

Explanation:

Given:

Gravity of Mars = 0.38 times the gravity at Earth

Gravity of Earth is,

Radius of Mars (R) = 3400 km

Mass of mars (M) = ?

We know that, the acceleration due to gravity  of a planet of mass 'M' and radius 'R' is given as:

Now, as per question:

Plug in 9.8 for and solve for . This gives,

Now, plug in this value in the above equation and solve for 'M'. This gives,

Therefore, the mass of Mars is .

answer; equivalent to a one(1) horsepower motor;

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft