Question

Use the impulse-momentum theorem for a system to solve these problems. Italere = AP, Question 1 You (50 kg) and a box (10 kg) are both on a frictionless surface. You push on the box with a force of 30 N over a time of 4 seconds before you let go. 50 kg 10 kg 50 kg 10 kg Vyou Vax t = 0 t = 48 Use the impulse-momentum theorem to find the following. a. What is your final velocity right after you let go? b. What is the box's final velocity right after you let go? Use Newton's second law to find the following. c. What is you acceleration during the 4 seconds you were pushing? d. What is the acceleration of the box during the 4 seconds you were pushing? Here is the part of the question where you can use anything but momentum to solve (since the acceleration is constant). e. How far did you travel after the 4 seconds? f. How far did the box travel after the 4 seconds?

Answer 1

a] impulse imparted on the box = Ft = 30N*4s = 120 Ns

momentum change of box = impulse given = 120 Ns

momentum change of the person = 120Ns in opposite directionn

vyou = 120/50 = 2.4 m/s

b] box final velocity Vbox = 120/10 = 12 m/s

c] By newtons second law, F = ma

30 N = 50*a

a = 30/50 = 0.6 m/s^2 leftward

d] By newtons second law, F = ma

30 N = 10*a

a = 30/10 = 3 m/s^2 rightward