Create a free body diagram of your work for each question, along with a step-by-step solution to the problem. In other words, I need to see all your steps.

Question 1:

A car with 60 cm diameter tires is traveling at a constant speed of 100 km/hr. What is the angular velocity of the tires in rad/s?

Question 2:

A 3 kg ball is traveling in a circle of radius 2 meters with a tangential velocity of 2 meters/second. Find the centripetal acceleration of the ball and the centripetal force acting on it.

Question 3:

An arrow is shot at an angle such that it's horizontal velocity is 40 m/s and it's vertical velocity is 20 m/s. Find the horizontal distance the arrow will travel before hitting the ground.

Question 4:

A bolt requires 15 Nm or torque to loosen it. How much force needs to be applied to a 20 cm long wrench to loosen the bolt? Assume the force is applied perpendicular to the handle of the wrench.

Question 5:

A baseball is thrown such that it is in the air for 4 seconds and lands 100 m away. Find the initial vertical and horizontal components of the baseball's velocity.