Question: 1. A car that was initially at rest accelerated due east at the rate of 4.5 m/s 2 for 4 seconds. After the acceleration, the
1. A car that was initially at rest accelerated due east at the rate of 4.5 m/s2 for 4 seconds. After the acceleration, the car cruised at a constant velocity for 9 seconds and started slowing down at the rate of 2.1 m/s2 to stop at the red light. In this problem, indicate the direction in your answers by east, west, north, or south.
| (a) | What is the velocity of the car at the end of the acceleration? |
| (b) | What was the displacement of the car during the time it was accelerating? |
| (c) | What was the displacement of the car during the time it was cruising at the constant velocity? (Hint: use the velocity you found in part (a) for the initial velocity.) |
| (d) | How many seconds did it take the car to come to a stop? |
| (e) | What was the displacement of the car during the time it was slowing down to stop? |
2. A cart with a mass of 67 kg is at rest on a floor, and it can move either to the right or to the left. Ignore frictional forces except for part (d).
| (a) | Anthony pulls the cart to the right with 279 N of force. What is the acceleration (both magnitude and direction) of the cart? |
| (b) | Amanda and Brittany pull the cart at the same time. Amanda pulls the cart to the right with 75 N of force, and Brittany pulls the car to the left with 123 N of force. 1. What is the net force (both magnitude and direction) on the cart? 2. What is the acceleration (both magnitude and direction) of the cart? |
| (c) | Andrew and Bill pull the cart at the same, and the cart accelerates to the left at the rate of 1.3 m/s2. What is the force (both magnitude and direction) that Andrew applies on the cart if Bill pulls the cart to the left with 324 N of force? |
| (d) | Adam and Benjamin pull the cart at the same time, and there is a frictional force of the magnitude 40 N between the cart and the floor. The cart accelerates to the right at the rate of 1.4 m/s2. What is the force (both magnitude and direction) that Benjamin applies on the cart if Adam pulls the cart to the right with 235 N of force? (Hint: the direction of frictional force always points in the opposite direction from the direction of the motion of the object.) |
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