This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Determine the displacement vector d. The initial position is P_1(4, 5, -3) and the final position is P_2(3, 6, 2). The displacement vector is given by d = P_2 - P_1. d = (3i + 6j + 2k) - (4i + 5j - 3k) d = (3-4)i + (6-5)j + (2-(-3))k d = -1i + 1j + 5k m Step 2: Calculate the work done W. The force vector is F = 5i + 3j - 2k N. The work done by a constant force is the dot product of the force vector and the displacement vector: W = F · d. W = (5i + 3j - 2k) · (-1i + 1j + 5k) W = (5)(-1) + (3)(1) + (-2)(5) W = -5 + 3 - 10 W = -2 - 10 W = -12 J The work done on the body is -12 J. -12 J That's 2 down. 3 left today — send the next one.