Final answer:
The work done by a force can be calculated using the dot product formula. You can substitute the values into the formula to find the work done. For example, if you have a force of 5.0 N, a displacement of (0.0 cm, -7.9 cm, -4.2 cm), and an angle of 0 degrees, the work done would be -98.7 N.cm.
Step-by-step explanation:
The work done by a force, F, can be calculated using the dot product formula, w = F * d * cos(θ). In the formula, F is the magnitude of the force, d is the displacement vector, and θ is the angle between the force vector and the displacement vector. By substituting the given values into the formula, you can find the work done.
For example, if you have a force of 5.0 N, a displacement of (0.0 cm, -7.9 cm, -4.2 cm), and an angle of 0 degrees, you can calculate the work done as follows:
w = (5.0 N)(0.0 cm) + (12.5 N)(-7.9 cm) + (0.0 N)(-4.2 cm) = -98.7 N.cm