One newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. What is the lighter particle's speed when it is xf away from the heavy particle? Consider a new expression for gravitation potential energy as: PEgrav = -(A (m1m2)) /r where A is a constant, m1 and m2 are the masses of the two objects, and r is the distance between them. To avoid the complexity of vector solution employ the Work-Energy theorem, more specifically, the Conservation of Energy Principle. Let us first name the lighter particle as object 1 and the heavy particle as object 2. KE1f + KE2f + PEgravf + Uelasticf + Unewf = KE1i + KE2i + PEgravi + + Unewi Note that the heavy particle remains fixed, before and after the motion of the lighter particle, it does not have any velocity, moreover, there is no spring involved.
One newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. What is the lighter particle's speed when it is xf away from the heavy particle?
Consider a new expression for gravitation potential energy as:
PEgrav = -(A (m1m2)) /r
where A is a constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
To avoid the complexity of vector solution employ the Work-Energy theorem, more specifically, the Conservation of Energy Principle.
Let us first name the lighter particle as object 1 and the heavy particle as object 2.
KE1f + KE2f + PEgravf + Uelasticf + Unewf = KE1i + KE2i + PEgravi + + Unewi
Note that the heavy particle remains fixed, before and after the motion of the lighter particle, it does not have any velocity, moreover, there is no spring involved.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
