Due: Wednesday, October 25th, 2023 at 10:00 p.m. Fall 2023 semester Problem 1. Two blocks tied together by a horizontal string are being pulled across the table by a horizontal force of 30 N as shown in Fig.1. The 2 kg block has a 6 N frictional force exerted on it by the table, and the Pkg block has an 8 N frictional force acting on it. (a) What is the net force acting on the entire two-block system? (b) What is the acceleration of this system? (c). What force is exerted on the 2 - kg block by the connecting string? (Consider only the forces acting on this block. Its acceleration is the same as that of the entire system.) d) Find the net force acting on the 4-kg block and calculate its acceleration. How does this value compare to that found in part (b)? 2 kg 4 kg 30 N 6 N 8 N Figure 1: Schematic graph for Problem 1. Problem 2. A car with a mass of m = 750 kg is traveling around a curve with a radius of R = 250 m at a constant speed of V = 36 mile/ hour. (a) What is the magnitude of the centripetal acceleration of the car? (b) What is the magnitude of the centripetal force required to produce this acceleration? Problem 3. The sun's mass is Mo = 1.99 . 1030 kg, the Earth's mass is Mo = 5.98 . 1024 kg, and the moon's mass is Me = 7.36 . 1022 kg. The average distance between the moon and the Earth is DME = 3.82 . 105 m, and the average distance between the Earth and the sun is DES = 1.50 . 10' m. (a) Using Newton's law of gravitation, find the average force exerted on the Earth by the sun. (b) Find the average force exerted on the Earth by the moon. (c) What is the ratio of the force exerted on the Earth by the sun to that exerted by the moon? Will the moon have much of an impact on the Earth's orbit about the sun? (d) Using the distance between the Earth and the sun as the average distance between the moon and the sun, find the average force exerted on the moon by the sun