Calculate the power required to put a mass of 120 kg at a constant velocity of 5 m/s down a plane. The plane makes an angle of 10° horizontally. The frictional force is 350 N.
To calculate the power required to move the mass down the plane at a constant velocity, we first need to calculate the total force acting on the mass.
The force component acting parallel to the incline can be calculated using the equation:
Fpar = mg*sin(theta) - Ffriction
where:
m = mass (120 kg)
g = acceleration due to gravity (9.81 m/s^2)
theta = angle of the incline (10 degrees)
Ffriction = frictional force (350 N)
Fpar = 120*9.81*sin(10) - 350
Fpar = 120*9.81*0.1736 - 350
Fpar ≈ 199.87 N
Next, we can calculate the power required using the formula:
Power = Force * Velocity
Power = 199.87 * 5
Power ≈ 999.35 Watts
Therefore, the power required to move the mass down the plane at a constant velocity of 5 m/s is approximately 999.35 Watts.