PLEASE SHOW ALL THE STEPS

1. You are mowing your lawn with a push mower. It is easier to push forward or pull backward the mower? Explain why.

2. A box is set on an incline and slides down the incline at a constant velocity. What must be the magnitude of the force of friction?

3. Your dog is refusing to get a bath. You resorted to pushing him across the hard wood floor. Explain how the forces compare between when you start pushing him and while pushing at a constant speed. Use a force diagram to help explain.

4. You are riding on a roller coaster and sitting on a bathroom scale. Where on the ride will you weight the most? Explain using a force diagram. 5. Where on Earth will you weigh the least? Explain.

6. A smooth rock is sliding at 11.5 m/s on ice and runs into a horizontal spring. The spring compressed 31.2 cm before the rock came to rest. What must be the spring constant of this spring if the coefficient of friction is 0.22?

7. A 40 kg box is being pulled across the floor with a rope at an angle of 20 degrees and a tension of 500 N. Another person is pushing the box horizontally with 300 N of force. If the coefficient of friction is 0.15, what is the acceleration of the box across the floor?

8. An Atwood Machine is made of two hanging masses. Once the system is released, the 3.0kg mass accelerates upward a distance of 2.4m in 1.7s. What is the value of the heavier mass?

9. A spider web has a Young's modulus of 1.5 GPa. If it is stretched 5 mm and has an original length of 25 cm, what is its radius?