An object on the moon will weigh 1/6th of what it does on earth but have the same mass. Why is that?

Because the weight depends of the gravity

Explanation:

This is because weight and mass are different, in order to better understand this problem we will apply an example with real values, which will help us to determine a person's weight.

A man has a mass of 80 [kg] on Earth when measuring his weight he realizes that it is 784.9 [N] and on the moon it is 130.8 [N]

On Earth

Where:

g = gravity

Weight on the moon

Wm = 80 * 1.635

Wm = 130.8[N]

Weight on the earth

We = 80 * 9.81

We = 784.8[N]

In this way we can see that the weight depends on the gravity of where the person is located.

the answer would be   dignified - apex

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