Problemas
A 1600 kg vehicle moves with a velocity of 19.5m/s Calculate the power required to reduce ice the velocity to 3.20m/s in 11.0 s. 250 words remaining square
Roztwór
Brenda
professionell · Tutor durante 6 años
3.3
(304 Votos)
Respuesta
To calculate the power required to reduce the velocity of the vehicle, we need to follow these steps:1. Calculate the change in kinetic energy of the vehicle.2. Calculate the work done to change the kinetic energy.3. Calculate the power required to do the work in the given time.Step 1: Calculate the change in kinetic energy of the vehicle.The formula for kinetic energy is:
where
is the mass of the vehicle and
is the velocity.Given:- Mass of the vehicle,
- Initial velocity,
- Final velocity,
Calculate the initial and final kinetic energies:
Calculate the change in kinetic energy:
Step 2: Calculate the work done to change the kinetic energy.The work done is equal to the change in kinetic energy:
Step 3: Calculate the power required to do the work in the given time.Power is defined as the work done per unit time:
where
is the time.Given:- Time,
Calculate the power:
Therefore, the power required to reduce the velocity of the vehicle from 19.5 m/s to 3.20 m/s in 11.0 s is 26800 W.