Question

(1) Suppose you lift a stone that has a mass of 5.3 kilograms off the floor onto a shelf that is 2 meters high. How much work have you done?
Joules  

(2) Suppose you lift a laptop that weighs 3.2 pounds off the floor onto a shelf that is 4 feet high. How much work have you done?
foot-pounds  

(3) The force on a particle is described by 9x^3−1 pounds at a point xx feet along the x-axis. Find the work done in moving the particle from the origin to x=3x=3.
foot-pounds  

4) The force on a particle is described by 5x3+55x3+5 at a point xx along the x-axis. Find the work done in moving the particle from the origin to x=8x=8.

5) Find the work done for a force FF =12/x^2N from x =2 to x =3 m.

6) A force of 7 pounds is required to hold a spring stretched 0.1 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length?

7)The work of 3 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural length. What is the force (in Newtons) that holds the spring stretched at the same distance (19 cm)?

8) How much work is done lifting a 40-pound object from the ground to the top of a 30-foot building if the cable used weighs 0.5 pounds per foot?

9) A bucket that has a mass of 30 kg when filled with sand needs to be lifted to the top of a 30-meter tall building. You have a rope that has a mass of 0.1 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 23 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.
Find the work done lifting the bucket (sand and rope) to the top of the building.
Joules

10) A bucket begins holding 20 kgs of sand. The bucket is to be lifted to the top of a 25-meter tall building by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.2 kgs of sand each meter it is lifted.
Find the work done lifting the bucket to the top of the building.
   Joules

11) A circular swimming pool has a diameter of 20 m, the sides are 3 m high, and the depth of the water is 2 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m/s^2 and the density of water is 1000 kg/m^3.)

Answer 1

As per HOMEWORKLIB RULES only first question is answered