Download A team of mules pulls with a force of 2500 N on a wagon. How much

1. A team of mules pulls with a force of 2500 N on a wagon. How much work does
the team do if the wagon is pulled 1820 m?
2. A 45 Kg box is lifted from the floor to the top of a shelf 1.1 m high. Compute the
work done against gravity.
3. A man pulls a sled by means of a rope, which makes an angle of 48° to the
horizontal. If the sled is moved a total distance of 56 m, calculate the work done by
the man if he pulls the rope with a force of 200 N.
4. A sled is pulled a distance of 185 m by means of a rope held at some angle θ
measured from the horizontal. If 12000 J of work is done and the pull along the
rope is 125 N, determine the value of θ to 3 significant digits.
5. A crane lifts a 2250 N bucket containing 1.15 m3 of sand. If the density of sand is
2000 Kg/m3, and the bucket is lifted 8.4 m, solve for the work done against gravity.
6. A 250 N weight is pushed up a 5.6 m frictionless inclined plane, which makes an
angle of 35° to the horizontal. determine the work done against gravity.
7. A conveyor belt lifts 56 Kg of stone up to a height of 15 m. If the machine lifts the
load in 0.92 minutes, determine the power output of the conveyor belt in kW.
8. In 35 seconds, a pump delivers 56 dm3 of liquid into a tank 31 m above the
reservoir. If the density of the liquid is 0.91 Kg/dm3, calculate the work done and
the power output of the pump.
9. A 115 N force exerted by a rope, which makes an angle of 43° to the horizontal,
pulls a sled. If the rope generates 66 W of power for 92 s, compute the distance that
the sled moves as a result.
10. A 14 m conveyor belt inclined at 35°, delivers bundles of recycled paper, which
have a mass of 5.0 Kg. If the conveyor belt delivers 23 bundles per minute, compute
the power output of the machine.
11. The elastic force constant of a spring in a toy is 550 N/m. If the spring is
compressed 1.2 cm, compute the potential energy stored in the spring.
12. A total of 56 J of potential energy is stored in a spring that is stretched 4.5 cm.
Compute the elastic force constant of the spring.
13. A force of 125 N is used to stretch a spring 0.33 m. Compute the potential
energy stored in the spring.
14. A 100.0 g arrow is pulled back 30.0 cm against a bow, which has an elastic force
constant of 125 N/m. If the entire potential energy stored in the bow is converted to
the kinetic energy of the arrow, compute the speed of the arrow.
15. A spring with a constant of 650 N/m is compressed to 5.5 cm and is used to
shoot a toy dart with a mass of 56 grams straight up. Assuming that the entire
potential energy in the spring is converted to kinetic energy, compute the speed of
the dart upon launch.
16. If all of the energy of the dart in problem 15 is converted to gravitational
potential energy by the dart being fired straight up, compute the height that the dart
will reach.
17. A force of 56 N is used to compress a spring 2.35 cm. Compute the potential
energy stored in the spring.
18. If the spring in the previous problem is used to launch a 2.1 g ball straight up,
compute the maximum height that the ball will reach.
19. Determine the amount of potential energy of a 5.0-N book that is moved to three
different shelves on a bookcase. The height of each shelf is 1.0 m, 1.5 m, and 2.0 m.
You are on in-line skates at the top of a small hill. Your potential energy is equal to
1,000. J. The last time you checked, your mass was 60.0 kg.
a. What is your weight in newtons?
b. What is the height of the hill?
c.
If you start rolling down this hill, your potential energy will be converted to
kinetic energy. At the bottom of the hill, your kinetic energy will be equal to your
potential energy at the top. Calculate your speed at the bottom of the hill.
20. A 1.0-kg ball is thrown into the air with an initial velocity of 30. m/s.
a. How much kinetic energy does the ball have?
b. How much potential energy does the ball have when it reaches the top of its
ascent?
c. How high into the air did the ball travel?
21. What is the kinetic energy of a 2,000.-kg boat moving at 5.0 m/s?
22. What is the velocity of an 500-kg elevator that has 4000 J of energy?
23. What is the mass of an object traveling at 30. m/s if it has 33,750 J of energy?
24. A 50 kg boy and his 100 kg father went jogging. Both ran at a rate of 5 m/s.
Determine the difference in their kinetic energy.
25. What is the potential energy of a 10 N book that is placed on a shelf that is 250
cm high?