For reasons that amount to \"it seemed like a good idea at the time, \" two four
ID: 1655936 • Letter: F
Question
For reasons that amount to "it seemed like a good idea at the time, " two fourth-years decide to transport a box of food and drinks across an icy lake to get to a party. They decide that the most effective way to transport the box is to tie two ropes to their waists and run across the ice. There is no friction between the box and the ice and the box starts at rest at time t = 0. and the view from above looks like this: The party is directly across the ice in the +x direction and the box moves directly toward the party. The mass of the box is 183 kg. One person (mass = 75 kg) pulls on the box with a force of magnitude F1 = 191.0 N and an angle of theta_1 above the x-axis and the other person (mass = 60 kg) pulls on the box with a force of magnitude F_2 = 120.5 N at an angle of theta_2 = 30.3 degrees below the x-axis. What is angle theta_1 ? Express your answer in degrees. Answer:Explanation / Answer
Since the party is directly across the ice in the +x direction, the box should not move in the y direction
Therefore, net force actiong on the box in the y direction should be 0
F1*sin1 = F2*sin2
=> 191*sin1 = 120.5*sin(30.3o)
=> sin1 = 0.3183
=> 1 = sin-1(0.3183)
=> 1 = 18.56o