Question

I need to figure out what questions could be asked from these scenarios.

- A snowboarder comes off of a ramp at an angle of theta above the horizontal, with a speed of v. The end of the ramp is a height h above the ground. Neglect friction and air resistance.

- A boy is standing on a ramp that is inclined at an angle theta above the ground. He is not slipping due to a static frictional force of f_s.

- A boy tries to toss a ball of mass m into his toy wagon, which is initially at rest. The ball hits the wagon at a velocity of v, at an angle theta below due east. Instead of staying in the wagon, the ball bounces out of the wagon with a velocity of v_2, at an angle theta_2 above due east. After being hit by the ball, the wagon has a velocity of v_3, due east. Neglect friction.

- A box that is of length l and height h is sitting on a small bench. The combined center of gravity of the box and bench is located a distance d to the right of the left bench support. The box and bench have a combined mass of M.

- A vertical frictionless spring with a spring constant of k is mounted unstrained on the floor. An object of mass m is dropped onto the spring from directly above, compressing the spring by a distance y. Ignore air resistance.

- A fluid of a given density is flowing through a tube that has a single entry and a single exit point. The second half of the tube has a greater diameter than the first half.

- Object 1 has a temperature of T and is placed in thermal contact with Object 2, which has an initial temperature of T_2. Object 2 is twice as massive as Object 1. The two objects eventually reach a thermal equilibrium at a temperature of T_3.

- n moles of a monatomic ideal gas expands adiabatically, and its temperature decreases from T_1 to T_2.

Answer 1

1) A snowboarder comes off of a ramp at an angle of theta above the horizontal, with a speed of v. The end of the ramp is a height h above the ground. Neglect friction and air resistance

Possible questions :

(a) Find the time of flight of the snowboarder.

(b) What is the horizontal distance covered in total time in air

(c) what is the final velocity just before the impact (magnitude and direction)

(d) what is the maximum height reached

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2) A boy is standing on a ramp that is inclined at an angle theta above the ground. He is not slipping due to a static frictional force of f_s..

Possible questions :

(a) Let the mass of boy be m. What is the normal force acting on him ?

(b) Find the coefficient of static friction ?

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3) A boy tries to toss a ball of mass m into his toy wagon, which is initially at rest. The ball hits the wagon at a velocity of v, at an angle theta below due east. Instead of staying in the wagon, the ball bounces out of the wagon with a velocity of v_2, at an angle theta_2 above due east. After being hit by the ball, the wagon has a velocity of v_3, due east. Neglect friction

Possible questions are:

(a) What is the velocity of ball when it impacts the wagon ?

(b) What is the initial velocity of the ball. ?

(c) What is the initial velocity of the wagon?

(d) what is work done by the ball on the wagon ?

(e) what is the distance moved by wagon if acceleration after being hit by the ball is 1 m/s²?