A The U.S.S. Enterprise (NCC‑1701) approaches an unknown system with a Black Hole at the center....

A The U.S.S. Enterprise (NCC‑1701) approaches an unknown system with a Black Hole at the center. One of the planets in this system is observed to have an orbit with a radius of R₁ = 3.5 AU and a period of T₁ = 0.7 years. What is the mass of the Black Hole compared to the mass of the Sun?

The mass of the Black Hole, M_BH =

Another planet in the system is observed to have an orbital radius of R₂ = 7.8 AU, how long does it take for this planet to complete one orbit around the Black Hole?

The orbital period, T₂ =

B Formulate the Newton’s law of universal gravitation.?

What are the factors that determine the magnitude (strength) of the gravitational force between two masses?

C. Give short answers to the following questions:

1. What is the escape velocity?

2. What are the two factors that determine the value of the escape velocity?

3. What are black holes? Why are they called “black”?

D A 400‑gram football is moving in the positive x‑direction with a speed of 11 m/s. Cristiano Ronaldo hits the ball with his head and sends it in the opposite direction with a speed of 14.5 m/s. Find the change in the ball's linear momentum, consider only the x‑component of the momentum.

The change in the ball's momentum, Δp =

If the time of contact between the ball and Cristiano's head is 38 msec, find the average force exerted on the ball.

The force on the ball, F₁ =

What is the force exerted by the ball on Ronaldo's head?

The force on the head, F₂ =

Solutions

Expert Solution

genius_generous answered 1 year ago

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