To solve the two parts of this problem, we will begin by considering the expressions given for gravitational potential energy and finally kinetic energy (to find velocity). From the potential energy we will obtain its derivative that is equivalent to the Force of gravitational attraction. We will start considering that all the points on the ring are same distance:

Then the potential energy is

PART A) The force is excepted to be along x-axis.
Therefore we take a derivative of U with respect to x.



This expression is the resultant magnitude of the Force F.
PART B) The magnitude of loss in potential energy as the particle falls to the center

According to conservation of energy,


The velocity vector will move you 200 miles east in 4 hours traveling at a constant speed is 50 mph. Below is the solution:
Given:
200 miles
4 hours
200 miles/ 4 hours = 50 mph, east
Hope it helps.
OF COURSE !
The gravitational force between two objects doesn't ONLY depend on the product of their masses. It also depends on the distance between them.
I'm not even going to work out the numbers for my example. I'm just going to state without proof that at the top of the 2nd frame, the gravitational force between you and your bowling ball is greater than the gravitational force between you and the whole darn Andromeda galaxy ! My reasoning is based on the fact that your bowling ball is maybe 1 foot from your center of mass, whereas the Andromeda galaxy is more like 2.5 million light years from it. That right there is going to give your bowling ball a big advantage when it comes to gravity !
Answer:
She should use a measuring tape
Explanation:
A student measures her height with a meter stick and gets a result of 1.5 m tall. This may not be as accurate as possible due to the fact that a meter stick has a maximum length of 1m which means an error could have occurred when she had to mark a point and then measure the remaining 0.5m.
She can however measure her height with greater accuracy and precision with a meter tape which has a wider measurement range and there won’t be any need to measure twice.