Flag Mechanics> Energy...
question mark

The mass of 2 particles A and B are 4kg & 5 kg respectively. Their velocities are 5m/s & 10m/s respectively in +x direction. Find the heat generated if both the particles are brought to rest by friction.In this question, I can think of 2 ways-1. KE of A = 50 J & KE of B = 250 J => Total energy = 300 J. Hence heat released = 300 J2. velocity and mass of Centre of mass are 70/9 m/s and 9 kg respectively. So, KEcom = 2450/9 & velocity of A & B relative to COM are -25/9 m/s and 20/9 m/s respectively. So KE of A and B relative to COM =3125/162 J & 1000/81 respectively. Hence, total energy = 49225/162 J. Hence energy released = 49225/162 J.Both the methods seem right in their own way. Can anyone tell me which is actually right and why?

Jhumi XYZ , 12 Years ago
Grade 12th Pass
anser 2 Answers
RAJEEV CHOUDHARY

Last Activity: 12 Years ago

In first method your frame of reference is earth which is a inertial frame so only real forces are acting and in this case it is friction.So loss of kinetic energy will be equal to work done by frictional forces.

Whereas in second case your frame of reference is non-inertial i.e. pseudo force also come into picture.So loss in kinetic energy will be equal to total work done by all forces.i.e. friction and pseudo forces.

So to calculate work done by friction 1st approach is right.

Jhumi XYZ

Last Activity: 12 Years ago

One more thing, if there were no friction, what would be the energy of system - 1st one or 2nd one?

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...