Find the work done by a white collar criminal as he pulls his 34 kg bag of booty 2.7m forward at an angle of 61 degrees with the floor. The man is pulling with a force of 19.4 N.
Work = F*Cos A * d = 19.4*Cos61 * 2.7 =
bag of booty im dead
To find the work done by the white collar criminal as he pulls his bag of booty, we can use the work formula:
Work = Force * Distance * cos(theta)
Where:
- Work is the work done by the force (measured in joules)
- Force is the magnitude of the force applied (measured in newtons)
- Distance is the displacement of the object in the direction of the force (measured in meters)
- Theta is the angle between the force and the displacement vector (measured in degrees)
In this case, we are given:
- Force = 19.4 N
- Distance = 2.7 m
- Theta = 61 degrees
Now let's calculate the work done:
Work = 19.4 N * 2.7 m * cos(61 degrees)
To evaluate cos(61 degrees), we need to convert the angle from degrees to radians, as most trigonometric functions take radians as input.
Angle in Radians = Angle in Degrees * (π / 180)
So, let's calculate the work:
Work = 19.4 N * 2.7 m * cos(61 degrees * (π / 180))
Calculating cos(61 degrees * (π / 180)) ≈ 0.467
Work = 19.4 N * 2.7 m * 0.467
Work ≈ 24.13 joules
Therefore, the work done by the white collar criminal as he pulls his bag of booty is approximately 24.13 joules.