The handle of a vegetable wagon makes an angle of 25.0° If the peddler exerts a force of 35.0 lb along the handle, how muchwork does the peddler do in pulling the cart 1.00 mi?
Is this correct?
35.0*1.00coseine25.0degrees=31.720
you forgot gravity
35cosTheta*5280 ft-lbs work
Dont know if its like this:
35.0*9.80*1.00cos25.0 = 310.86
To calculate the work done by the peddler in pulling the cart, you need to use the formula:
Work = Force x Distance x cos(angle)
Let's break down the given values and input them into the formula:
Force = 35.0 lb
Distance = 1.00 mi
Angle = 25.0°
Now, let's calculate the work done:
Work = 35.0 lb x 1.00 mi x cos(25.0°)
First, convert the distance from miles to feet since force is given in pounds. 1 mile = 5280 feet.
Work = 35.0 lb x 5280 ft x cos(25.0°)
Next, multiply the force and distance:
Work = 184,800 ft-lb x cos(25.0°)
Finally, evaluate the cosine of 25.0° and multiply it with the calculated value:
Work = 184,800 ft-lb x 0.9063
Calculating this, we find:
Work ≈ 167,596 ft-lb
Therefore, the correct answer is approximately 167,596 ft-lb, not 31.720 ft-lb.