Students: The sub will work the first half of number one. You will work the second half of number one. The sub will work all even numbered problems. You will work all the rest of the odd numbered problems. Raise your hand and have the sub check your work when you have an answer to a problem.

1. A 10 N object rests on a 10° incline. What is the normal force? What is the parallel force? A 10 kg object rests on a 10° incline. What are the normal and the parallel forces?
2. A 5 N block slides down a 20° incline at constant speed. What is the frictional force?
3. A 75 kg box slides down a 25° incline at constant speed. What is the fricitonal force?
4. What force is needed to push a 15 N object up a 20° incline at constant speed when the coefficient of friction is 0.30?
5. What is the coefficient of friction if a 50 N force is needed to push a 5 kg object up a 25° incline at constant speed?
6. What is the acceleration of a 20 N object which slides down a 35° incline when the coefficient of friciton is 0.4?
7. What is the coefficient of friction if a 40 N objbect slides down a 20° incline with an acceleration of 2 m/s^-2?
8. What is the acceleration of a 20 N object that is pulled up a 30° incline by a 25 N force? The coefficient of friction is 0.30.
9. A 10 N object is pulled up a 10° incline by a 5 N force. The coefficient of friction is 0.20. What is its acceleration?
10. A man pulls a 300 N object across a horizontal surface using a 100 N force applied at a 35° angle. What is the normal force? If the object is pulled with an acceleration of 2 ms^-2, what is the coefficient of friction?
11. A man pulls a 80 N object across a horizontal surface using a 50 N force applied at a 25° angle. What is the normal force? If the coefficient of friction is 0.3, what is the acceleration of the object?
12. A man now pushes a 200 N object across a horizontal surface using a 100 N force applied at a 35° angle. What is the normal force? If the object is pulled with an acceleration of 2 ms^-2, what is the coefficient of friction?
13. A man pushes a 80 N object across a horizontal surface using a 50 N force applied at a 25° angle. What is the normal force? If the coefficient of friction is 0.3, what is the acceleration of the object?
14. A sailboat sails west at 15 m/s. A current of 4 m/s flows south. What is the velocity of the sailboat relative to the bank?
15. A sailboat sails east at 20 m/s. A 5 m/s current flows north. What is the velocity of the boat relative to the shore?
16. Find the tensions in the cables shown.

    

17. Repeat number 16. Now the angle is 40° and the weight is 600 N.
18. Find the tensions in the cables shown.

    

19. Repeat number 18. Now the angle on the left is 35° and the angle on the right is 50°. A 350 N weight hangs.

Vector Applications Notes

Vector Applications Homework