Search over 10,000 free study notes

By definition, dn/dt = - λ N ,
If you separate the variables which contain N and t, and then integrate w.r.t N and w.r.t t you get,
lnN = -λt + C (1),
...

In all collisions, provided there are no external forces, momentum is conserved. This is the law of conservation of momentum. However, kinetic energy is not conserved in all collisions. An inelastic colli...

Answer: escape velocity v = sqrt[(2GM)/r], where G is the gravitational constant.
Reasoning:
Conservation of energy means that the total initial energy must be equal to the total final energy, ...

The efficiency is calculated using the equation:
((Total useful output energy)/(Total input energy)) *100
We are essentially trying to calculate what percentage of the input energy is converted...

The first step is to calculate the initial energy of the system. at the moment of throwing. Energy is comprised of both potential (given by Mgh) and kinetic(given by 0.5Mv^2), and so the initial energy is...