You are trying to lose weight by working out on a rowing machine. Each time you pull the rowing bar (which simulates the "oars") toward you, it moves a distance of 1.17 m in a time of 1.84 s. The readout on the display indicates that the average power you are producing is 50.2 W. What is the magnitude of the force that you exert on the handle
50.2=F X(1.17/1.84)
=
ans/50.2
F= 78.9N
power = work/time = F * d /t
so
50.2 = F * 1.17 / 1.84 = 78.9 N
agree
To calculate the magnitude of the force you exert on the handle of the rowing machine, we can make use of the work-power relationship.
The work done is given by the equation:
Work = Force x Distance
The power is given by the equation:
Power = Work / Time
We can rearrange the power equation to solve for work:
Work = Power x Time
Now, substituting the given values into the equations:
Work = 50.2 W x 1.84 s
Work = 92.368 Joules
We know that the work done is equal to the force multiplied by the distance:
Work = Force x Distance
Rearranging the equation, we can solve for force:
Force = Work / Distance
Substituting the known values:
Force = 92.368 J / 1.17 m
Force = 78.901 N
Therefore, the magnitude of the force you exert on the handle of the rowing machine is approximately 78.901 Newtons.
To find the magnitude of the force you exerted on the handle, you can use the formula for power:
Power (P) = Force (F) * Velocity (v)
In this case, the power is given as 50.2 W and the distance moved in a given time is 1.17 m in 1.84 s.
First, we need to find the velocity by dividing the distance by time:
Velocity = Distance / Time
v = 1.17 m / 1.84 s
v = 0.636 m/s
Now, we can rearrange the power formula to solve for force:
Force = Power / Velocity
F = 50.2 W / 0.636 m/s
F = 78.96 N (rounded to two decimal places)
Therefore, the magnitude of the force you exerted on the handle is approximately 78.96 N.