Work and Power Practice Directions: Answer the following questions on separate sheet of paper. 1. Define work. Requires a force acting on an object in the same direction that it is moving. 2. What is the equation for work? W=Fxd 3. Define power. Power is a rate. It is the amount of work done in a given amount of time. 4. What is the equation for power? P= 𝒘𝒐𝒓𝒌 𝒕𝒊𝒎𝒆 TRUE/FALSE 5. Power depends on how fast you do the work. True 6. Power is measured in Newtons. False -- Watts 7. Carrying an object is doing work. False -- lifting 8. Work is a form of energy. True Directions: Determine whether work is done in the following situations. 9. You carry groceries inside your house. No work 10. You give your sister a piggy back ride. No work 11. You lift up box onto a table. Work 12. You walk to school. No work Directions: Solve the following problems using the work and power equation. You must show your work and include the correct units. 13. You must exert a force of 4.5 N on a book to slide it across the table. If you do 2.7 J of work in the process, how far have you moved the book? W=Fxd W = 2.7 J F = 4.5 N d=?m 2.7 J = 4.5 N x d d = 0.6 m 14. A child pulls a sled up a snow covered hill. The child does 405 J of work on the sled. If the child walks 15 m up the hill, how large of a force must the child exert? W=Fxd W = 405 J F=?N d = 15 m 405 J = F x 15 m F = 27 N 15. How much work is done on a small car if a 3150 N force is exerted to move it 75.5 m to the side of the road? W=FxD W=?J F = 3150 N d = 75.5 m W = 3150 N x 75.5 m W = 237,825 J 16. A 190,000 W engine can accelerate from rest to a top speed in 9 s. How much work did the engine do? P= 𝒘𝒐𝒓𝒌 𝒕𝒊𝒎𝒆 P = 190,000 W W=?J t=9s 𝑾 190,000 W = 𝟗 𝒔 W = 1,710,000 J 17. Another engine reaches its top speed from rest in 7.5 seconds. It is able to perform 250,000 J of work in that time. How much power does this engine have in that time? P= 𝒘𝒐𝒓𝒌 𝒕𝒊𝒎𝒆 P=?W W = 250,000 J t = 7.5 s P= 𝟐𝟓𝟎,𝟎𝟎𝟎 𝑱 𝟕.𝟓 𝒔 P = 33,333 W 18. If a runner exerts 350 J of work to make 125 W of power, then how long did it take the runner to do the work? P= 𝒘𝒐𝒓𝒌 𝒕𝒊𝒎𝒆 P = 125 W W = 350 J t=?s 125 W = t = 2.8 s 𝟑𝟓𝟎 𝑱 𝒕𝒊𝒎𝒆