Problemas
A 1600 kg vehicle moves with a velocity of 19.5m/s Calculate the power required to reduce the velocity to 3.20m/s in 11.0 s. 250 words remaining square
Roztwór
Guadalupe
élite · Tutor durante 8 años
4.3
(213 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.Step 1: Calculate the change in kinetic energy.The kinetic energy of an object is given by the formula:
where
is the mass of the object and
is its 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.Power is defined as the rate of doing work:
where
is the time taken.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 approximately 26890.73 W.