A 75kg particle is moving to the left at 29m/s . How much work must be done on the particle to cause it to move to the right at 46m/s ?
To calculate the work done on the particle, we need to find the change in kinetic energy.
The formula for kinetic energy is:
Kinetic Energy = (1/2) * mass * velocity^2
Given that the mass of the particle is 75 kg and it is initially moving to the left at 29 m/s, we can calculate the initial kinetic energy.
Initial Kinetic Energy = (1/2) * 75 kg * (29 m/s)^2
To find the final kinetic energy, we need to know the mass and the final velocity of the particle. The final kinetic energy can be calculated using the same formula.
Final Kinetic Energy = (1/2) * mass * (final velocity)^2
Since we want to find the work done on the particle to cause it to move to the right at 46 m/s, we can use the final velocity of 46 m/s.
Substituting the given values, we get:
Final Kinetic Energy = (1/2) * 75 kg * (46 m/s)^2
The change in kinetic energy is equal to the final kinetic energy minus the initial kinetic energy:
Change in Kinetic Energy = Final Kinetic Energy - Initial Kinetic Energy
To find the work done, we can use the equation:
Work = Change in Kinetic Energy
Substituting the calculated values into the equation, we can now find the work done on the particle.