contestada

ojectile is launched on the Earth with a certain ini- tial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one- sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is !6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.

Respuesta :

--vertical from ground to top--
v^2 = u^2 + 2as
with v= 0, a=g, s=u^2/(-2g)
g on the moon is 1/6
u is equal, then it goes 6 times higher on the moon.

v = u + at
with v= 0, a=g, t = u/(-g)
g on the moon is 1/6
u is equal, then it takes 6 times longer on the moon.

--horizontal--
s = vt , v is equal
t on the moon is 6 time longer
it moves 6 times farer on the moon