Problem 2: Newton's Laws M A 1.27-kg mass M slides down a plane inclined at an angle e = 55° to the horizontal. There is a 2.66•N frictional force on the mass. Take the x•axis along the plane in the generally downward direction and take the y•axis normal to the plane in the generally upward direction, as shown in the figure. (a) Draw a free body diagram of the mass. Be sure to label all forces clearly and to place the angle 0 in your diagram. mgy =mgsin 55. mgy =mgcos550 0 = FN-mgy O = FM-mgcos5s FN =mg cos55 m = \.27kg O = 55° (b) Find the acceleration of the mass M down the plane in the x•direction. mgx: mgsins5= ma gsin55 = a a-8.04 misz- FF =ma 5.38m/s² ax= a= 5.38M/s2 (C) What is the acceleration of the mass M in the y•direction? Explain your answer. a =5,63 m/s 2 (d) Find the magnitude of the normal force acting on the mass M . 9, COS55 = a ay = 2 5,63 m/s FN=mgcos55 FN = (1.27kg)(9.81mis) (cos(55)) FM=7,15N 7.15N n = (e) Find the coefficient of kinetic friction between the mass and the plane. yhgsine-Myg coso = vha I (sine -MOSB)=ax M ="a+gsin M-4.6? Cose Hk=

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Gravitational force

In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.

Acceleration Due to Gravity

In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.