Chris pulled a sled 153 m by exerting a constant force of 225N at a constant angle of 65 degrees to the level ground. Find the work done in pulling the sled.
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To find the work done in pulling the sled, we can use the formula:
Work = Force × Distance × cos(angle)
First, we need to convert the angle from degrees to radians. We know that 180 degrees is equal to π radians, so we can find the conversion factor:
π radians = 180 degrees
1 radian = 180 degrees / π
Next, we can substitute the given values into the formula:
Force = 225 N
Distance = 153 m
Angle = 65 degrees = 65 degrees × (1 radian / 180 degrees) = 65π/180 radians
Now, we can calculate the work:
Work = 225 N × 153 m × cos(65π/180)
To find the value of cos(65π/180), we can use a calculator:
cos(65π/180) ≈ 0.422
Substituting this value back into the formula:
Work ≈ 225 N × 153 m × 0.422
Now we can calculate the result:
Work ≈ 17343 N·m or Joules
Therefore, the work done in pulling the sled is approximately 17343 Joules.