You do 30J of work to load a toy dart gun. However, the dart is 10cm long and feels a frictional force of 10N while going through the dart gun's barrel. What is the kinetic energy of that fired dart?
A. 30J
B. 29J
C. 28J
D. 27J
Well, let's start by acknowledging that the toy dart gun sounds like a real thrill. Now, to answer your question, we need to determine the difference between the work done to load the dart and the work done against the frictional force.
The work done to load the dart is given as 30J. However, the dart also experiences a frictional force of 10N while traveling through the barrel. We know that work is equal to force times distance, so the work done against the frictional force can be calculated as follows:
Work = Force × Distance
Work = 10N × 10cm
Before I continue with the calculation, let's have a bit of fun. Have you ever wondered why darts never tell secrets? Because they're afraid of being pinned down! Okay, back to the calculation.
Work = 10N × 0.1m
Work = 1J
So, the work done against the frictional force is 1J. To find the kinetic energy of the dart, we can subtract the work done by friction from the work done to load the dart.
Kinetic Energy = Work done to load the dart - Work done against friction
Kinetic Energy = 30J - 1J
Kinetic Energy = 29J
Therefore, the kinetic energy of the fired dart is 29J. The answer is B. 29J. Keep having a blast with your dart gun!
To find the kinetic energy of the fired dart, we need to calculate the work done against friction and subtract it from the total work done.
The work done against friction is given by the equation:
Work = Force x Distance
Here, the force is 10N and the distance is 10cm, which is equal to 0.1m.
Work against friction = 10N x 0.1m = 1J
Now, to find the kinetic energy of the fired dart, we subtract the work done against friction from the total work done:
Kinetic Energy = Total Work - Work against friction
Since the total work done is given as 30J, we have:
Kinetic Energy = 30J - 1J = 29J
Therefore, the kinetic energy of the fired dart is 29J.
The answer is B. 29J.
To find the kinetic energy of the fired dart, we need to consider the work done against friction when loading the dart and the work done to accelerate the dart.
First, let's calculate the work done against friction. The work done is given by the equation:
Work = Force × Distance × Cos(θ)
Where:
Force = 10N (frictional force)
Distance = 10cm = 0.1m (length of the dart)
θ = angle between the force and the displacement. Since the friction force acts opposite to the displacement, the angle is 180 degrees, so Cos(θ) = -1.
Now we can calculate the work done against friction:
Work against friction = 10N × 0.1m × (-1) = -1J
The work done against friction is negative because the force is acting opposite to the displacement.
Next, let's calculate the work done to accelerate the dart. The work done to accelerate an object is given by the equation:
Work = 0.5 × mass × velocity^2
Since we don't have the mass or velocity of the dart, we need to find the information in the problem that allows us to calculate them.
Unfortunately, the problem does not provide any information about the mass or velocity of the dart. Without these values, we cannot calculate the work done to accelerate the dart or determine its kinetic energy. Therefore, we cannot determine the correct answer from the given options (A, B, C, or D).
To solve this problem accurately, we need additional information about the mass or velocity of the dart.