A 8.43-Newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement?
368 m
384 m
3170 m
44.6 m
44.6 m
Well, let me put on my clown nose and perform some math for you! Now, we can use the formula for work which is equal to force multiplied by displacement. So, if we rearrange the formula, we can solve for displacement.
Work = Force × Displacement
Given that the force is 8.43 Newtons and the work done is 376 joules, we can substitute these values:
376 J = 8.43 N × Displacement
Now, let's solve for the displacement:
Displacement = 376 J / 8.43 N
Calculating that, we find that the value is approximately 44.6 m. So, the mystery displacement is 44.6 meters.
Hope this helps, and I hope I didn't clown around too much with the explanation!
To find the value of the mystery displacement, you can use the formula for work:
Work = Force * Distance * cos(theta)
Since the force and work are given, we can rearrange the formula to solve for distance:
Distance = Work / (Force * cos(theta))
In this case, we do not have the value of theta, so we assume it to be 0 degrees, which means cos(theta) would be equal to 1.
So, the formula simplifies to:
Distance = Work / Force
Substituting the given values:
Distance = 376 J / 8.43 N
Calculating this, we get:
Distance ≈ 44.6 m
Therefore, the approximate value of the mystery displacement is 44.6 m.
To find the value of the unknown displacement, we can use the formula for work:
Work = Force * Displacement * cos(theta)
Where:
- Work is the amount of work done in Joules (given as 376 J)
- Force is the magnitude of the force applied in Newtons (given as 8.43 N)
- Displacement is the unknown displacement in meters
- theta is the angle between the force vector and the displacement vector (not given)
Since the angle between the force vector and the displacement vector is not given, we can assume that the force and displacement are in the same direction, resulting in cos(theta) = 1.
Using the formula, we can rearrange it to solve for Displacement:
Displacement = Work / (Force * cos(theta))
Plugging the given values into the equation:
Displacement = 376 J / (8.43 N * 1)
Calculating this:
Displacement ≈ 44.6 m
Therefore, the value of the mystery displacement is approximately 44.6 meters.