Question

3. Workhorses You are working in a 19th century warehouse trying to move a 200 kg box across the floor. Previous workers have estimated that the force of friction exerted by the floor on a box of this size and type is 1000 N. You harness two horses to the box. Albert Horse pulls in a direction 10° west of north and Gwnedolyn Horse pulls in a direction 20° east of north. The box slides due north at a constant velocity. What are the magnitudes of the forces exerted by each horse on the box? (In your free body diagrams you can say that each horse exerts a force directly on the box and ignore the rope connecting them.) Please include a sketch of the objects in this problem and a free body diagram of the box in your answer (with properly labeled forces). You may simplify your answer to this problem by ignoring the vertical forces. You may want to sketch each force vector added tail to tip to help you think about this problem.

Answer 1

- VUJJJJJ.. trichen contait velocity due North {fy=may cay =o constant relcenty) F cosloth, como a friction = 0 Also (No motion in & desection) Ž fue 20 + - Fising – Iz sind = 0 f sinlo – F Sino - o F = F Sinzo a. 1.9696 XF₂ sinlo Ti = 1.9696k F₂ (1.9696) cosio + t Cosso - 1000 20 IF2 - 347.298 ~ 34713 N [Fi = 6840)