(b) Calculate the orbital speed of Mercury around the Sun. Orbital mechanics or astrodynamics is the application of ballistics and celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft.The motion of these objects is usually calculated from Newton's laws of motion and law of universal gravitation.Orbital mechanics is a core discipline within space-mission design and control. Ok, so this question comes up a lot about orbital radius and orbiatl speed, they give you the equation in the exam but to answer it you have to rearrange it. Answer: The gravitational field strength at the geosynchronous orbital radius can be calculated using the formula: The value of r of interest is : The gravitational field strength at the geosynchronous orbital radius is approximately . Relationship between orbital speed, orbital radius and time period orbital speed = 2 x π x orbital radius / time period v = 2 x π x r / T Relationship between power, current and voltage The curved path of an object around a point is called as the orbit. Calculate the speed of a satellite orbiting the Earth (radius 6400 km) at a height of 300 km. For example, Mercury, the closest planet to the Sun, takes just 88 Earth days to complete an orbit. In 1772, an astronomer called J Bode developed an equation to predict the orbital radii of the planets around the Sun. This occurs at speeds around or below 7600 m/s. If the satellite is moving too slowly then the gravitational attraction will be too strong, and the satellite will fall towards the Earth. G is the universal gravitational constant G = 6.6726 x 10-11 N-m 2 /kg 2. It can be re-arranged to find the radius of the orbit. Namely, this is due to the fact that calcium's highest energy electron is in the fourth energy shell. If this is the case, the satellite will move off into space. The formula on the right can be used to calculate the orbital velocity v of any object. This is because velocity is a vector quantity – it has an associated direction as well as a magnitude. 2+ Ionic Equations- Ba (aq) + SO 4 2-(aq) → aSO 4 (s) o This is an ionic equation showing the formation of a compound from its ions. A change in direction causes a, quantity – it has an associated direction as well as a magnitude. This means that objects in small orbits travel faster than objects in large orbits. If the satellite is moving too quickly then the gravitational attraction between the Earth and the satellite is too weak to keep it in orbit. Write the equation that links orbial speed, orbital radius, and time. The formula for orbital speed is the following: Velocity (v) = Square root (G*m/r) Where G is a gravitational constant (For Earth, G*m = 3.986004418*10^14 (m^3/s^2)) m is the mass of earth (or other larger body) energy transferred = current u voltage u time pressure u volume = constant W P t energy transferred power = time taken W P t work done power = time taken 1 f T 1 frequency = time period pV p V11 2 2u u EIVt uu Where necessary, assume the acceleration of free fall, g = 10 m/s2. Their orbits are elongated, meaning at the furthest point things freeze onto them, but closer to the sun it melts off in streaks going outwards. Equations COPY Flashcards Preview GCSE- Physics > Equations COPY > Flashcards Flashcards in Equations COPY Deck (36) ... Orbital speed(km/s) = 2× π ×orbital radius(km)/time period(s) 9 Power (electricity module) Power(W)= current(A) x potential difference(V) 10 Energy transferred Calculate the orbital radius of a moon which orbits a planet in 45 hours with a speed of 6000 m/s. Km, orbital radius about jupiter of. A change in direction causes a change in velocity. Gravity provides the force needed to maintain stable orbit of planets around a star and also of moons and artificial satellites around a planet. Orbital speed = (2 x pi x orbital radius) / time taken. Challenges pupils on converting values into the correct units to ensure consisteny in their workings. These orbits are much higher than polar orbits (typically 36,000 km) so the satellites travel more slowly (around 3 km/s). This calculator is used to find the radius of any orbit with orbit period and the mass of the planet. The gravitational field strength is measured in Newtons per kilogram (), or in the same units as acceleration,. Since the radius of the new planet is or the radius of the original planet, and they have the same masses, we can equate: International GCSE. 2 *P40138A0232* EQUATIONS

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