Offering 99 the gravitational pe (u) depends on three things: the object’s mass (m), its height (h), and gravitational acceleration (g), which is 9.81 m/s^2 on earth’s surface. set the mass of the car to 50.0 grams, then set the three hills to the following heights: hill 1 - 90.0 cm, hill 2 - 65.0 cm, hill 3 - 20.0 cm. calculate the difference in gravitational potential energy from the top of hill 1 to the top of hill 3. show all work.

The question has provided the most important equation:

The Gravitational PE (U) = the object’s mass (m) x its height (h) x gravitational acceleration (g)

Only trick here is the unit for each variable:  PE (U) is in J which is kg-m/s^2-m; mass (m) is kg; gravity (g) is m/s^2 and height (h) is m.

With the conversion factors of gram=1/1000kg and cm=1/100m, U can be calculated as follows:

Hill 1=(50/1000)x(90/100)x9.81=0.44J

Hill 2=(50/1000)x(65/100)x9.81=0.32J

Hill 3=(50/1000)x(20/100)x9.81=0.098J

The difference in PE from Hill 1 to Hill 3

=0.44-0.098

=0.342J

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6