A 20-kg sled is pulled along a frictionless horizontal surfaceby a 150-N force acting at angle 37 degree above the horizontal.(a) resolve this force into its horizontal and vertical components.Calculate (b) the (horizontal) aceleration of the sled and (c) theupward force exerted on the sled by the ground. I got this question wrong on my homework. The professor onlygave us the answer without showing us how he got it. A 20-kg sled is pulled along a frictionless horizontal surfaceby a 150-N force acting at angle 37 degree above the horizontal.(a) resolve this force into its horizontal and vertical components.Calculate (b) the (horizontal) aceleration of the sled and (c) theupward force exerted on the sled by the ground. I got this question wrong on my homework. The professor onlygave us the answer without showing us how he got it.
Explanation / Answer
(a). Horizontal component of force F ' = 150 cos37 = 119.79 N vertical component of force F " = 150 sin 37 = 90.27 N (b). Horizontal accleration a = F ' / m = 119.79 / 20 = 5.9895 m / s^ 2 (c). upward force exerted on the sled by theground = mg -F " = 105.73 N