A 1,500kg boulder falls off a 120m tall cliff on a planet that has a surface gravitational field of magnitude 3. 6 N/kg. Assume that the planet has no atmosphere, it would take 8.16 seconds for the boulder to strike the ground
What are the three equations of motion?
There are three equations of motion given by Newton
The first equation is given as follows
v = u + at
the second equation is given as follows
S = ut + 1/2×a×t²
the third equation is given as follows
v² - u² = 2×a×s
Note that these equations are only valid for a uniform acceleration.
where u and v are the initial and final velocity respectively
S is the total distance covered by the object
a is the acceleration of the object
As given in the problem a 1,500kg boulder falls off a 120m tall cliff on a planet that has a surface gravitational field of magnitude 3. 6 N/kg. Assume that the planet has no atmosphere
S = 120m, the initial velocity of the boulder is zero
u = 0
g = 3.6 m/s²
S = ut + 1/2at²
u= 0m/s , a= 3.6 m/s² and t = ? seconds
120 = 0×t + 0.5×3.6×t²
t² = 120 /(3.6×0.5)
t² = 66.667
t = 8.16 seconds
Thus, it would take 8.16 seconds for the boulder to strike the ground
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