Instantaneous Power Delivered by a Car Engine - Example Problem

The video tutorial explains how to calculate the instantaneous power delivered by a car engine. It begins with a problem statement involving a Toyota Prius traveling at a constant velocity and experiencing drag force. The tutorial covers converting velocity to meters per second and choosing the correct power equation. It then demonstrates solving for instantaneous power using force and velocity, resulting in a power output of approximately 13 horsepower. The video also explores the impact of increasing the car's speed on power and energy consumption, highlighting the significant increase in energy required for a modest speed increase.

What is the initial velocity of the Toyota Prius in meters per second?

• 31.38 m/s

• 113 m/s

• 70 m/s

• 3.0 m/s

Which equation is used to calculate the instantaneous power delivered by the car engine?

• Power = Mass x Acceleration

• Power = Force / Velocity

• Power = Force x Velocity x Cosine of Angle

• Power = Work / Change in Time

What is the force of drag acting on the car?

• 300 N

• 113 N

• 746 N

• 390 N

What is the calculated instantaneous power delivered by the engine in horsepower?

• 31.38 HP

• 746 HP

• 13 HP

• 9,416.6 HP

How does increasing the car's speed from 113 km/h to 129 km/h affect the power delivered by the engine?

• It increases the power to 19 HP

• It keeps the power constant at 13 HP

• It reduces the power to 5 HP

• It decreases the power to 10 HP

By what percentage does the energy consumption increase when the car's speed is increased by 14%?

• 48%

• 28%

• 70%

• 14%

What is the relationship between speed increase and energy consumption in this scenario?

• Energy consumption doubles for every 10% speed increase

• Energy consumption increases by 48% for a 14% speed increase

• Energy consumption remains the same regardless of speed

• Energy consumption decreases as speed increases