Certain tektites found on Earth have a composition identical with that
of lunar granite. It is thought that they may be debris from a volcanic
eruption on the Moon. The gravitational potential between the surface
of the Moon and the surface of the Earth varies along the line of
centres. At Point P, the gravitational potential is a maximum. Please
refer to the link for the figure.
http://i71.photobucket.com/albums/i159/J…
(a) If a tektite is to reach the Earth, it must be projected from the
volcano on the Moon with a certain minimum speed v. Making appropriate
values from the graph, find this speed.
(b) Discuss very briefly if a tektite will reach the Earth's surface
with a speed less than, equal to or greater than the speed of
projection. (neglect atmospheric resistance)
(c) Calculate the speed of the tektite just before it hits the Earth.
a) take the difference in potential energy between moon and point p = 1/2m(v^2)
then find v.
b) we deduce from the formula in a) difference in PE is directly proportional to V, thus greater diff. in PE bet. earth and point p-> greater speed
c) same formula as a)
I am in Ns for almost 2 years, you may wish to double check my answer as I can't even pass O level standard now....NS makes us dumb