The next two questions pertain to the situation described below.
A box of mass
࠵?
=
5
.
3
kg is pulled with constant velocity up an inclined plane for distance
࠵?
=
2
m. It is
pulled by a rope with tension
࠵?
and which is parallel to the ramp. The ramp makes an angle of
࠵?
=
31°
with
respect to the horizontal. The kinetic coefficient of friction between the box and the plane is
࠵?
!
=
0
.
29
.
1.
(8 points)
How much work is done on the box by gravity as the box is pulled up the ramp a distance
࠵?
?
a.
࠵?࠵?࠵?
sin
࠵?
b.
−
࠵?࠵?࠵?
sin
࠵?
c.
࠵?࠵?࠵?
cos
࠵?
d.
−
࠵?࠵?࠵?
cos
࠵?
e.
−
࠵?࠵?࠵?
tan
࠵?
2.
(8 points)
How much work is done on the box by the rope as the box is pulled up the ramp a distance
࠵?
?
a.
There is no way to know since the tension in the rope is not given.
b.
࠵?
!"#$
=
15
.
5
J
c.
࠵?
!"#$
=
25
.
8
J
d.
࠵?
!"#$
=
79
.
4
J
e.
࠵?
!"#$
=
53
.
6
J