A constant force F =3 i -2 j - k newton has a displacement r =2 i -3 j -3 k metre in 2 second. The work done and the power are respectively

Step-by-step solution

The work done by a constant force is computed using the dot product of force and displacement vectors. Given F = 3 i - 2 j - k , N and r = 2 i - 3 j - 3 k , m , the work is F r = (3)(2) + (-2)(-3) + (-1)(-3) = 6 + 6 + 3 = 15 , J . Power is the rate of doing work, calculated as P = W t . With W = 15 , J and t = 2 , s , power is 15 2 = 7.5 , W . Option B corresponds to these values.