A woman pushes a lawnmower forward with a force of 125 N for a distance of 15m. The force makes an angle of 34 degrees with the horizontal. Calculate the amount of work done
the force in the direction of motion is ... 125 cos(34º) N
Work = Fh * d = 125*Cos34 * 15 =
To calculate the amount of work done, we can use the formula:
Work = Force × distance × cos(angle)
Given:
Force = 125 N
Distance = 15 m
Angle = 34 degrees
Plugging in the values, we have:
Work = 125 N × 15 m × cos(34 degrees)
Now, let's calculate the cosine of 34 degrees:
cos(34 degrees) ≈ 0.829
Substituting this value into the equation, we get:
Work = 125 N × 15 m × 0.829
Calculating the expression, we find:
Work ≈ 1559.625 J
Therefore, the amount of work done by the woman pushing the lawnmower forward is approximately 1559.625 Joules.
To calculate the amount of work done, you need to use the formula:
Work = Force * Distance * cos(angle)
In this case, the force is 125 N, the distance is 15 m, and the angle is 34 degrees.
First, convert the angle from degrees to radians:
angle = 34 degrees * (π/180) = 0.593 radians
Now, plug the values into the formula:
Work = 125 N * 15 m * cos(0.593 radians)
To calculate the cosine of the angle, you can use a calculator or a trigonometric table. The cosine of 0.593 radians is approximately 0.821.
Work = 125 N * 15 m * 0.821
Multiply the numbers together:
Work = 1537.5 Joules
Therefore, the amount of work done by the woman pushing the lawnmower is 1537.5 Joules.