A radio-controlled car increases its kinetic energy from 8 J to 10 J over a distance of 6 m. What was the average net force on the car during this interval?
KE₂-KE₁=Fs
F= (KE₂-KE₁)/s=(10-8)/6 = 0.33 N
To find the average net force on the car during this interval, we can use the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.
The work done on the car can be calculated using the formula:
Work = Force × Distance
Let's assume the average net force on the car is F (in Newtons).
The work done on the car is given by the change in kinetic energy:
Work = Change in Kinetic Energy
Work = Final Kinetic Energy - Initial Kinetic Energy
Given:
Initial Kinetic Energy (K1) = 8 J
Final Kinetic Energy (K2) = 10 J
Distance (d) = 6 m
Work = K2 - K1
Work = 10 J - 8 J
Work = 2 J
Using the formula for work:
Work = Force × Distance
2 J = F × 6 m
Solving for F:
F = 2 J / 6 m
The average net force on the car was approximately 0.33 N (Newtons).
To find the average net force on the car, we can use the work-energy theorem, which states that the net work done on an object is equal to the change in its kinetic energy.
The work done on an object is given by the formula:
Work = Force × Distance
We can rearrange this formula to solve for force:
Force = Work / Distance
In this case, the work done on the car is the change in kinetic energy, which is given as:
Work = ΔKE = KE_final - KE_initial
Substituting the values into the formula:
Work = 10 J - 8 J = 2 J
The distance traveled by the car is given as 6 m.
Now, we can substitute the values into the formula to find the average net force:
Force = Work / Distance = 2 J / 6 m
Calculating the value:
Force = 0.333 J/m
Therefore, the average net force on the car during this interval is 0.333 J/m.