4. The power provided by a force can also be written as P = dW/dt = F · dĩ/dt = F · v. A force F = (3t – 2j + 6k)N is applied to an object moving with a velocity v = (2î – 3k) m/s. a. What is the power provided by this force? Does the object speed up or slow down or neither, if this force is the only unbalanced force acting on the object? b. Consider a force that is always perpendicular to the velocity. Does the object speed up or slow down or neither, if this force is the only unbalanced force acting on the object?

4. The power provided by a force can also be written as P = dW/dt = F · dĩ/dt = F · v. A force F = (3t – 2j + 6k)N is applied to an object moving with a velocity v = (2î – 3k) m/s. a. What is the power provided by this force? Does the object speed up or slow down or neither, if this force is the only unbalanced force acting on the object? b. Consider a force that is always perpendicular to the velocity. Does the object speed up or slow down or neither, if this force is the only unbalanced force acting on the object?