#1A mass m = 14 kg is pulled along a horizontal floor with NO friction for a distance d =5.5 m. Then the mass is pulled up an incline that makes an angle = 33 with the horizontal and has a coefficient of kinetic friction _k = 0.47. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of = 33 (thus on the incline it is parallel to the surface) and has a tension T =58 N.

1)What is the work done by tension before the block goes up the incline? (On the horizontal surface.)

_J

2)What is the speed of the block right before it begins to travel up the incline?

_m/s

3)What is the work done by friction after the block has traveled a distance x = 2.2 m up the incline? (Where x is measured along the incline.)

_J

4)What is the work done by gravity after the block has traveled a distance x = 2.2 m up the incline? (Where x is measured along the incline.)

_J

5)How far up the incline does the block travel before coming to rest? (Measured along the incline.)

_m

6)On the incline the net work done on the block is: positive negative zero

#2 You plan to take a trip to the moon. Since you do not have a traditional spaceship with rockets, you will need to leave the earth with enough speed to make it to the moon. Some information that will help during this problem:

m_earth = 5.9742 x 10²⁴ kg r_earth = 6.3781 x 10⁶ m m_moon = 7.36 x 10²² kg r_moon = 1.7374 x 10⁶ m d_{earth to moon} = 3.844 x 10⁸ m (center to center) G = 6.67428 x 10^-11 N-m²/kg²

1)On your first attempt you leave the surface of the earth at v = 5534 m/s. How far from the center of the earth will you get?

_m

2)

Since that is not far enough, you consult a friend who calculates (correctly) the minimum speed needed as v_min = 11068 m/s. If you leave the surface of the earth at this speed, how fast will you be moving at the surface of the moon? Hint carefully write out an expression for the potential and kinetic energy of the ship on the surface of earth, and on the surface of moon. Be sure to include the gravitational potential energy of the earth even when the ship is at the surface of the moon

_m/s

3)

Which of the following would change the minimum velocity needed to make it to the moon?

the mass of the earth

the radius of the earth

the mass of the spaceship