SUMMARY
The average power developed by a motor lifting a 400-kilogram mass through a vertical distance of 10.0 meters in 8.0 seconds is calculated using the formula P = W/t, where W is the work done. The work done is determined by the force exerted against gravity, which is equal to the weight of the mass (F = mg). Given that the acceleration is constant and equal to zero during the lift, the average power is conclusively 4900 W, as this is the only option that satisfies the equation when substituting the values for force and distance.
PREREQUISITES
- Understanding of Newton's Second Law (F = ma)
- Knowledge of work and power equations (P = W/t)
- Familiarity with gravitational force calculations (F = mg)
- Ability to interpret force diagrams and constant speed scenarios
NEXT STEPS
- Study the derivation of power equations in physics
- Learn about force body diagrams and their applications in mechanics
- Explore the implications of constant speed on net force and acceleration
- Investigate real-world applications of motor power calculations in engineering
USEFUL FOR
Students in physics, mechanical engineers, and anyone interested in understanding motor power calculations and the principles of work and energy in mechanical systems.