SNL-8th Grade Renaissance Fair | Bobbi and Marty Culp Lyrics, Meaning & Videos

@manilkasheran2934

All the answers are correct though 4:52!
Q1.
(6.02 x 10^23)(1/(12*3600*24*365)) ≈ 1.59 x 10^15 years.
Q2.
F_C = friction and F_A = centripital force and their resultant which is best represented by F_B is the force required.
Q3.
ball----(1), block----(2), velocity before the collision ----(u), velocity after the collision----(v), height initial----(h), height final----(h_0)
mu_1 + 2mu_2 = mv_1 + 2mv_2 (conservation of momentum) & 2mu_2 = 0 then,
v_1 = u_1 - 2v_2 & u_1 = v_2 - v_1 since coefficient of restitution = 1 and u_2 = 0
therefore v_1 = -(1/3)u_1
We know that the potential energy (mgh) is converted to kinetic energy 0.5m(u_1)^2 right before the collision then,
u_1 = sqrt(2gh)
Kinetic energy of the ball after the collision 0.5m(v_1)^2 = 0.5m((1/3)u_1)^2 = (1/9)mgh
but as the ball comes to a rest (1/9)mgh = mgh_0
Final height(h_0) = (1/9)h.