Let the data is as following
mass of payload = "m"
mass of Moon = "M"
now we know that we place the payload from the position on the surface of moon to the position of 5r from the surface
So in this case we can say that change in the gravitational potential energy is equal to the work done to move the mass from one position to other
so it is given by
we know that
now from above formula
so above is the work done to move the mass from surface to given altitude
Explanation:
The force of the roller-coaster track on the cart at the bottom is given by :
, m is mass of roller coaster
Case 1.
R = 60 m v = 16 m/s
Case 2.
R = 15 m v = 8 m/s
Case 3.
R = 30 m v = 4 m/s
Case 4.
R = 45 m v = 4 m/s
Case 5.
R = 30 m v = 16 m/s
Case 6.
R = 15 m v =12 m/s
Ranking from largest to smallest is given by :
F>E>A=B>C>D
A = 1.15m/s2, Vf = 80.0km/h --> we need it in m/s, so:
Vf = 80km/h × 1000m/1km × 1h/3600s
= 22.22m/s
Top speed = Vf, initial speed = Vi
time (t) = V(Vf-Vi) ÷ a
t = (22.22-0)m/s ÷ 1.15m/s2
t = 22.22m/s × s2/1.15m
= 19.32 seconds
When blue litmus paper is dipped in acid the paper turns red.
hope this helps :)
