Suppose we determine the distance (d) traveled by an object when its velocity v changes from initial velocity u due to force F. Let’s implement Newton’s second law of motion (2) into the third kinematics equation of motion (4), The third kinematics equation of motion about velocity v is, To calculate the object’s mass, we can implement Newton’s second law of motion formula into the third kinematic equation of motion, which is about velocity. We can calculate the mass using the third kinematics equation of motion. Substituting ‘a’ value into the kinematics equation, we getĬalculate Mass using Third Kinematics Equation of Motion The mass of an object can be calculated by using the second kinematics equation of motion. If we determine the distance (d) traveled by an object in time (t) when the force (F) applies on it, we can calculate its mass by using the second kinematics equation of motion.Ī net force 10N acts on an object which travels a distance of 40m with an initial velocity of 1m/s in 5s. Substituting equation (3) into above equation, we get The second kinematics equation of motion about distance d is The second law of motion explains that the object is accelerated (a) hardly when the force (F) is employed on the object having mass m. Then, we can implement it into the second kinematics equation of motion, which is about distance. To calculate the object’s mass, we can use the popular Newton’s second law of motion formula that shows a relation between acceleration, force, and mass. We can calculate the mass using Newton’s second law of motion as follows: The mass of the boy standing on the earth is 108.67 kg.Ĭalculate Mass using Second Kinematics Equation of Motion The mass of a boy standing on the earth is calculated by using a formula of the law of gravity as, Determine the mass of a boy standing on the earth. The force of gravity between earth and boy is 680N, standing at a distance of 6.38 x 10 6m from the earth’s center. If we determine the distance d and force of gravity on object F g, we can calculate its mass m 1 using Newton’s Law of Gravitation. Hence, the constant value of the mass of the earth is m 2 is, 5.98 x 10 24 kg. In equation (1), like the constant value of G, we also have the constant value of mass of object 2, which is the mass of the earth as in most cases, we calculate the force of gravity of any object with respect to the earth. Where, G is universal gravitational constant having constant value 6.67 x 10 -11 Nm 2/kg 2. Rewriting the formula in terms of constant of proportionality, Since the force of gravity is directly proportional to the masses of both objects, larger objects will attract each other with a more significant force of gravity. R is the distance separating both object’s centers. Where, F g = force of gravity between two objects That means all the objects in the universe attract each other with gravity, and Newton’s law of gravitation explains this universality of gravity. To calculate the mass in terms of force and distance, we can utilize Newton’s laws of gravitation, which say “the force of gravity acting between two bodies is directly proportional to their masses and inversely proportional to the square of the distance between centers of the masses.” We can calculate the mass using Newton’s law of gravitation as follows: The center of mass will be at 0.020 m from the circle.Calculate Mass using Newton’s Law of Gravitation Meanwhile, the center of gravity and the center of mass are only equal when the entire system is subject to a uniform gravitational field. We can apply the equation individually to each axis also.Īlthough the center of mass and the center of gravity often coincide, these are all different concepts. We can extend the formula for the center of mass to a system of particles. This point is known as the center of mass of the system of particles. Also the resultant of all the forces exerted on all the particles of the system by surrounding bodies is exerted directly to that particle. The motion of this unique point is similar to the motion of a single particle whose mass is equal to the sum of all individual particles of the system. Rather than we have to focus on the dynamic of a unique point corresponding to that system. When we are studying the dynamics of the motion of the system of a particle as a whole, then we need not worry about the dynamics of individual particles of the system. The center of mass of a body or system of a particle is defined as a point where the whole of the mass of the body or all the masses of a set of particles appeared to be concentrated. Center of Mass Formula What is the Center of Mass?
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