At the top of a pole vault, an athlete actually can do work pushing on the pole before releasing it. Suppose the pushing force that the pole exerts back on the athlete is given by = (160 ) - (170 ) acting over a distance of 0.21 .
force*distance=work done.
To calculate the work done by the pushing force of the pole, we need to use the formula:
Work = Force × Distance × cos(θ)
Where:
- Work is the amount of work done (in joules)
- Force is the magnitude of the pushing force (in newtons)
- Distance is the displacement of the force (in meters)
- θ is the angle between the force and the direction of displacement
In this case, the pushing force of the pole is given as:
F = (160 N) - (170 N)
And the distance over which the force is applied is:
d = 0.21 m
However, the angle (θ) is not mentioned in the given information. Without knowing the angle, we cannot calculate the work done by the pushing force accurately.
To find the work done by the pushing force of the pole, we need to use the equation for work:
Work = Force x Distance x cosine(theta)
Here, the force exerted by the pole on the athlete is given as = (160 ) - (170 ), so we substitute this into the equation:
Work = ((160 ) - (170 )) x 0.21 x cosine(theta)
To calculate the work done, we need to know the value of cosine(theta). The value of theta determines the angle between the direction of the force and the direction of displacement. Without the value of theta, we cannot compute the exact work done.
If you have the value of cosine(theta), you can substitute it into the equation to calculate the work done.