Question 1: Three forces A, B, and C is applied to a bowling ball. The free-body diagram of the ball is shown below, where A = 4.00 N, B = 6.0 N, and C = 8.00 N. The force A makes an angle of 60 degrees with respect to the positive y direction. Using GRAPHICAL addition, find the net force F.
Question 2: A cart full of Tomato Soup is moving through the factory area (mass of soup and cart M = 200 kg). At the top of the first hill, at point A, the speed is 10 m/s. The cart is to stop at ground level and the safety engineering is considering stopping the cart in one of TWO WAYS:
First, the cart can apply its breaks and slide to a stop (uk = 0.4).
OR
Second, the cart can run into a big giant spring (k = 4,000 N/m).
A) Show that the total initial energy of the soup and the cart is 402,000 J.
B) Show that if the first method of stopping is used, that the cart will slide a distance of 513 m (!! half of a kilometer!!).
C) Show that if the second method of stopping is used, that the spring is compressed a distance of 14.2 m.
D) What is a major safety issue related to a PERSON riding in the cart in place of the soup if they use the second method of stopping the cart?
Question 3: Given the following graph of the net force on a car of mass 500 kg, vs distance (NOTICE, Force is in kN) in the x-direction. The car starts from rest.
A) Determine the work done on the car as it travels between x = 0 m and x = 5 m, and determine the speed of the car at x = 5 m.
B) Describe what the driver is probably doing while traveling between marks at 10 m and 15 m (coasting, speeding up, slowing down), and HOW CAN YOU TELL?
Question 4: A block of mass M1 = 10 kg is moving down at a speed of 4.0 m/s, at a height h = R = 2.0 m above a horizontal surface. When it reaches the bottom of the track it HITS AND STICKS TO a second block of mass M2 = 5 kg. NO FRICTION!!
A) Draw a free body diagram of the sliding block when it is at the bottom of me track, but BEFORE it hits the second block. Draw a free body diagram of the sliding block when it is HALF-WAY to the bottom of the track.
B) Show that the speed of the first block is 7.4 rights before the collision.
C) Find the highest point H, that the PAIR of blocks reach after they have stuck together.
