Question

→A cart with a mass fo 1.5 kg needs to complete a 1.5 meter radius loop the loop. What is the minimum velocity? a. 3.83 b. 12.2 c. 15.62 d. 14.7 e. 9.95

→A 30.0 N force is applied to the edge of a sphere that has a weight of 45.0 N and a radius of 40.0 cm. The sphere is at rest before the applied force. What will be the angular velocity of the sphere as a result of this applied force if the force is maintained for 5.00 seconds? (l for a sphere is 2/5mr?)

→A bug is super glued to a bicycle tire. What is the angular distance that the bug travels in two minutes, in radians, on the rim of the tire that starts spinning from rest? After the two minutes the tire is spinning at a rate of 4500 degrees per minute.

→A pilot with a mass of 100.0 kg performs a vertical dive, then pulls out of the dive with a curve of a radius of 1,350 before heading back straight up. The pilot enters the dive with a speed of 315 m/s. What is the apparent weight of the pilot at the bottom of the maneuver? How many g's would this pilot experience?

→A satellite is in circular orbit around an unknown planet. A second, different, satellite also travels in a circular orbit around this same planet, but with an orbital radius four times larger than the first satellite. Sue-Bob, the bad physics student, says: "The gravitational force of the planet depends inversely on the orbital radius squared. Since the second satellite's orbitai radius is four times that of the first satellite, the second satellite experiences on-sixteenth the gravitational force that is exerted on the first satellite. Explain what is right, and wrong, with Sue-Bob's explanation.

→A spacecraft is positioned between the Earth and the Moon such that the gravitational forces on the spacecraft exerted by the Earth and the Moon cancel. (10 points total) a.) Is this position closer to the Moon, closer to the Earth, or halfway in between? Explain. (4 points) b.) Show mathematically how you would set up your equation to calculate where this distance from the Earth would be. Do not try to solve for the distance, just set up an equation to do so.

→A car has a velocity of 40.0 m/s and a mass of 2000.0 kg. A curve has a radius of 80.0 m. The curve has a bank angle of 30.0 degrees. The coefficient of friction between the tires and the road is 0.92. Would the car have enough Fc to make it around the curve? Prove mathematically.

Answer 1

Solution in the uploaded images