Please answer all questions below:

q1

A beam is free to rotate around an axis through its center, as shown below. Two forces (F1 and F2) act on it at distances of r1 and r2 away from the center, respectively. What is the expression for the net torque around the center of the rod? Assume the forces act perpendicular to the rod. F1 OCT = Fim - F272 OCT =-Fim - For2 OCT = -Fini + For2 OCT = Fini + FareIn Question 15, if F1 has a magnitude of 20 N and acts at r1 = 15 cm away from the point of rotation, and F2 has magnitude 12 N, how far away from the point of rotation must F2 act to keep the rod in equilibrium? 5.0 cm 20 cm 10 cm 25 cmA 750 kg car traveling at 20 m/s slams into a wall and stops in 0.5 s. From the Impulse-Momentum Theorem, What is the magnitude of the force that the wall exerts on the car? 20,000 N O 25,000 N 15,000 N 30,000 NA red object with mass 125 kg is moving at 12 m/s in the positive direction when it collides head-on with a 500 kg green object traveling at 10 m/s in the opposite direction. After the impact, the red object is moving 8.0 m/s in the negative direction. What is the velocity (speed and direction) of the green object after the collision? O+2.5 m/s O-2.5 m/s O+5.0 m/s Oom/s O-5.0 m/s