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The moon's mass is 7.35 × 1022 kg, and it moves around the earth approximately in a circle or radius 3.82 × 105 km. The time required for one revolution is 27.3 days. Calculate the centripetal force that must act on the moon.
3 Μαρ 2024 · Centripetal force is the force that acts toward the center of a circular path. The force is always perpendicular to the direction of movement. The formula for centripetal force is F c = mv 2 /r. The force pushes or pulls an object toward the center of rotation, for example, in planets orbiting the Sun, turning a car, or spinning a ball on a string.
Banked road. On a curve, if the road surface is "banked" (tilted towards the curve centre) then the horizontal component of the normal force can provide some (or all) of the required centripetal force. Choose v & θ so that less or no static friction is required.
We also know that radial acceleration a. r is always directed towards the center of the circle, and therefore the force due to radial acceleration (mar) for position 1 is directed downwards, while for position 2 it is directed upwards. In both cases, m stands for the mass of the rider.
Use the centripetal acceleration equation and solve for speed. Substitute values for the acceleration due to gravity on Earth and the radius of the Earth's orbit (also known as an astronomical unit). v = √ a c r
Since the centripetal acceleration is directed toward the centre of the circle, the net force is also directed toward the centre of the circle. Practice Questions
For an object to be in uniform circular motion, Newton’s 2nd law requires a net force acting on it. This net force is called centripetal force: Physically, the centripetal force can be the tension in a string, the gravity on a satellite, the normal force of a ring, etc.
