PROBLEM 1: [20 points] A constant force P which is directed in a way that makes 30-degree angle with positive x axis is applied to a 50 kg create. If the create starts from the rest and achieves a speed of 10 m/s in 5 seconds and the coefficient of friction between the crate and the ground is 0.2: a) [10 points] Determine the normal force applied to the crate. b) [10 points] Determine the magnitude of constant force, P