Name: ______________________________________________ Date: ______________________ Physics 201 FINAL Mechanics and Waves There are

Name: ______________________________________________ Date: ______________________

Physics 201 FINAL

Mechanics and Waves

There are 6 questions, and you only need to do 5. Indicate the questions you would like graded. I will only grade 5 questions so make it clear which ones you want graded either by just not doing one problem, or by marking the problems you want graded. There is no extra credit for doing more than 5. You may use any resources you wish outside of answer site like Chegg, but you must be able to explain your answer if asked!

Q1

Q2

Q3

Q4

Q5

Q6

Total

1. (10 Points) An astronaut hits a 46.0 g golf ball a distance of 400 m on an alien planet with mass 1.5 x 1020 kg. The golf ball leaves the club with a speed of 10 m/s and a launch angle of 45°.

What is the radius of the planet?

2. (10 Points) A 4.00 kg block is pressed against a vertical wall with a force directed upwards at an angle of 30.0° with respect to the horizontal, as shown below. When the pushing force is 50.0 N, the block slides down the wall with an acceleration of 1.50 m/s2.

What is the coefficient of kinetic friction between the block and the wall?

3. (10 Points) A solid marble of mass m = 20.0 g and radius r = 1.00 cm is placed on a ramp at height H. Assuming that it rolls without slipping and referring to the image below. If R = 10.0 cm what is the minimum height H the ball needs to stay in contact with the loop?

4. (10 points) A particle of mass 2.00 kg experiences the force shown below. At t = 0, the particle’s velocity is 3.00 m/s in the positive x–direction. What is the velocity of the particle at t = 5.00 s?

5. (10 Points) A spring with spring constant 25.0 N/m is attached to the ceiling, and a cylinder with a radius of 3.00 cm and a mass of 4.50 kg is attached to its lower end. The cylinder is held so that the spring is neither stretched nor compressed, then a tank of water is placed underneath with the surface of the water just touching the bottom of the cylinder. When released, the cylinder will eventually reach an equilibrium position. When in equilibrium, what length of the cylinder is submerged?

6. (10 Points) Two loudspeakers emit sound waves of the same frequency in the same direction in a room where the speed of sound is 340 m/s. The sound intensity is at a maximum when speaker 2 is 10.0 cm behind speaker 1. The intensity decreases as speaker 2 is moved forward and first reaches a minimum when it is 15.0 cm in front of speaker 1.

a) What is the frequency of the sound waves?

b) What is the inherent phase difference between the sounds waves coming from the two speakers?

Physics 201 Summer 2023