So I am faced with a theoretical equation which uses all variables in terms of Mass,Length,Coefficient of friction which i will just write as u, radius R and gravity g. Block A of mass M is released from rest at the top of an arc ramp which is frictionless it contacts block B of mass M at the bottom inelastically. the Two blocks move together to the sliding past a distance L along a flat track of friction u. Express answers in terms of M,L,u,R and g
a determine the speed of block A before it hits block B
b determine the speed of the combined blocks immediately after collision
c determine the amount of Kinetic energy lost due to the collision.
d the specific heat of the the blocks is c. determine the temperature rise that results from the collision in terms of c and other give quatities if no energy is transferred to the track or air.
e determine additional thermal energy that is generated as the blocks move from y to p
The Attempt at a Solution
a mgh=1/2mv^2 v=(2gh)^(1/2)
b determine the speed of the combined blocks after collision. m(2gh)^(1/2)=2m(2gh)^(1/2)/2
c this is where i get lost, i understand Ke is lost to an inelastic collision, but i don't understand how to determine how much?