Question 11 Unsaved
A car of mass 1200 kg travels along a horizontal road at a speed of 10 m s-1. At the time
it begins to accelerate at 0.2 m s-2, the total resistive force acting on the car is 160 N. What is
the total output power developed by the car as it begins the acceleration?
call F = force exerted on car by tires through engine power
total horizontal force on car = force exerted by tires - resistive force
= F - 160
so
F - 160 = m a
F = 160 + 1200*0.2 = 160 +240 = 400 N
power = 400 * speed = 400 * 10 = 4000 Joules/second or Watts
To find the total output power developed by the car as it begins to accelerate, we can use the formula:
Power = Force x Velocity
First, let's find the resultant force acting on the car:
Resultant force = mass x acceleration + resistive force
Given:
mass (m) = 1200 kg
acceleration (a) = 0.2 m/s^2
resistive force (F) = 160 N
Resultant force = (mass x acceleration) + resistive force
Resultant force = (1200 kg x 0.2 m/s^2) + 160 N
Resultant force = 240 N + 160 N
Resultant force = 400 N
Now, let's calculate the power:
Power = Resultant force x Velocity
Power = 400 N x 10 m/s
Power = 4000 W
Therefore, the total output power developed by the car as it begins the acceleration is 4000 Watts (W).
Well, well, well, let's calculate the power of this speedy car. Power is equal to force times velocity, my friend. So, we need to find the force and then multiply it by the velocity.
The total resistive force acting on the car is given as 160 N. But hold your horses, we need to consider the net force, which is the difference between the applied force and the resistive force. Since the car is accelerating, the applied force is greater than the resistive force.
Now, the net force can be found using Newton's second law, which states that force is equal to mass times acceleration. The mass of the car is 1200 kg, and the acceleration is 0.2 m/s². So, the net force is 1200 kg * 0.2 m/s² = 240 N.
But wait, we're not done yet! The net force is not the output power. We need to find the power by multiplying the net force by the velocity. The velocity is given as 10 m/s. So, the power is 240 N * 10 m/s = 2400 W.
Ta-da! The total output power developed by the car as it begins the acceleration is 2400 watts. Keep speedin' and powerin'!
To find the total output power developed by the car, we need to calculate the total resistive force acting on the car and the rate at which work is done.
First, let's calculate the resistive force acting on the car. We know that the resistive force is equal to the product of mass and acceleration:
Resistive force = mass x acceleration
Given that the mass of the car is 1200 kg and the acceleration is 0.2 m/s^2, we can substitute these values into the formula:
Resistive force = 1200 kg x 0.2 m/s^2
Resistive force = 240 N
So, the resistive force acting on the car is 240 N.
Next, let's calculate the power using the formula:
Power = Force x Velocity
Since the car is travelling at a speed of 10 m/s, we can substitute the values into the formula:
Power = 240 N x 10 m/s
Power = 2400 Watts (W)
Therefore, the total output power developed by the car as it begins the acceleration is 2400 Watts (W).