Question

Along with many elementary particles, a neuron is a neutral particle that re- sides in the nucleus of an atom. Similarly, a deuteron is a heavier particle of almost twice the mass of a hydrogen atom. In high-energy physics, we can think of a situation where a neutron of mass 1.67 x 10-27 kg and veloc- ity106 m/s collides head-on with a STATIONARY deuteron of mass 5.54 x 10-27 kg. The particles do not stick together, and the neutron moves off at a speed of 6.6 x 104 m/s in the opposite direction. What is the velocity of the deuteron?
3.
a. Provide mathematical definitions and units of work, K.E., P.E.
b. Provide a mathematical definition of torque, and provide its unit in the
MKS system of units.

Answer 1

1. $v\approx3.2\times10^5m/s$ where $v$ is velocity of the deuteron.

$v=\frac{1.67\sdot10^{-27}}{5.54\sdot10^{-27}}(10^6+6.6\sdot10^4)\approx3.2\sdot10^5m/s$

2.The unit of work , K.E. and P.E. is the Joule$(J).$ Its is difined as the work done by a force of one newton at a dictance of one metre. $1J=1N\sdot1m$

3.The torque is a force moment characterize the rotational action of force. Its defined as product of unit of force per unit of distance to the axis of rotation. Unit in the MKS system is $1N\sdot1m$