physic dynamics questions help!!!!!

Show all your work on these questions.

**Question 1 **

You slide a hockey puck across the ice in a hockey rink. The puck gradually slows down as it moves. How does Newton’s first law explain the motion of the puck?

**Question 2 (4 points)**

You have a wooden bench in your living room. You set your backpack on the bench and lean your hand against the wall. Name two action-reaction pairs that are present in this situation. (4 points)

**Question 3 **

You push a shopping cart full of groceries. The shopping cart has a mass of 32 kg.

a. What is the weight of your shopping cart? (2 points)

b. How much force must you apply to give the cart an acceleration of 1.3 m/s2?

c. If you push with a force of 200 N, what is the acceleration of the cart?

d. You are driving home from the store. If your car has an acceleration of 4.1 m/s2, and its engine is applying a forward force of 7000 N, what is the mass of your car?

**Question 4 **

You have a ball with mass 1.3 kg tied to a rope, and you spin it in a circle of radius 1.8 m. If the ball is moving at a speed of 3 m/s, what is the centripetal force acting on the ball?

**Question 5 **

Andrew and Warren sit on opposite sides of a table of mass 28 kg. Andrew pushes the table to the right with a force of 277 N, and Warren pushes the table to the left with a force of 215 N. (Assume there is no friction.)

a. Draw the free-body diagram of the table. (You do not need to draw it perfectly to scale. Just make sure the directions are correct.)

b. Write the expression for the net force on the table along the y-axis.

c. Write the expression for the net force on the table along the x-axis.

d. What is the normal force acting on the table?

e. What is the net force on the table along the x-axis, including direction?

f. What is the acceleration of the table, including direction?

**Question 6 **

Jake pulls a couch of mass 38 kg across his apartment. He pulls on the couch at an angle of 25° with a force of 300 N. The free-body diagram is shown below.

a. What is the x-component of his applied force?

b. What is the y-component of his applied force?

c. Assuming the couch does not leave the ground, what is the normal force acting on the couch?

**Question 7 **

Duane has a mass of 73 kg and slides down an icy hill on a sled. The hill has a slope of 15° and there is no friction. The free-body diagram is shown below.

a. Write the expression for the net force in the x-direction.

b. Write the expression for the net force in the y-direction.

c. What is the acceleration in the y-direction?

d. What is the normal force acting on him?

**Question 8 **

Mazie stands on her kitchen floor. The coefficient of kinetic friction between her socks and the floor is 0.35, and the coefficient of static friction is 0.42. She has a mass of 58 kg.

a. What is the maximum force of static friction between her socks and the floor?

b. If you push Mazie with a force of 200 N, will she start to slide? Explain your answer.

c. Mazie slides across the floor at a speed of 1.3 m/s. What is the force of kinetic friction acting on her?