# Work and kinetic energy of two blocks

• msattar07
In summary, the lighter block (m2) will go farther due to its faster initial speed and lower frictional force.
msattar07

## Homework Statement

Two blocks of mass m1 and m2 (m1 > m2) slide on a frictionless floor and have the same kinetic energy when they hit a long rough stretch (coeff. of kinetic friction > 0), which slows them down to a stop. Which one goes farther?

W = Fd..iono?!?

## The Attempt at a Solution

i think the answer is mass 2 because it has a smaller mass which will allow it to travel a farther distance.

i think its a tie because they have the same KE and using the energy balance they would cancel out and go just as far

just so you know..answer came out to be m2..
go figure??

Yes. I believe it is m2.

Because it has a lesser mass, in order for the kinetic energies to be the same, it must be traveling faster than the heavier mass.

Although it has less momentum, it also has less of a frictional force opposing it, and because it has a faster initial speed, it should go further than the heavier block.

## What is work?

Work is defined as the amount of energy transferred by a force acting on an object as it moves through a distance. It is represented by the equation W = F * d, where W is work, F is the force applied, and d is the distance traveled.

## What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is represented by the equation KE = 1/2 * m * v^2, where KE is kinetic energy, m is the mass of the object, and v is the velocity of the object.

## How is work related to kinetic energy?

Work and kinetic energy are closely related. Work done on an object causes a change in its kinetic energy. This can be seen in the work-energy theorem, which states that the net work done on an object is equal to the change in its kinetic energy.

## What is the work done on an object if the force is perpendicular to the displacement?

If the force applied to an object is perpendicular to its displacement, then the work done on the object is zero. This is because the force is not in the same direction as the movement of the object, so it does not transfer any energy to the object.

## How is the work and kinetic energy of two blocks related?

In a system with two blocks, the work done on one block is equal to the change in kinetic energy of the other block. This is due to the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another.

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