To find the planet's radius in terms of the radius Rg of Earth, use the equation g = GM/R^2 and substitute 2g for g. Solve for R to get R = sqrt(1/(2gMg)) * Rg.
To find the planet's radius in terms of the radius Rg of Earth, we need to understand the relationship between the gravitational field and the mass and radius of a planet. The magnitude of the gravitational field on the surface of a planet is given by g = GM/R2, where G is the gravitational constant, M is the mass of the planet, and R is its radius. For the planet in question, we are told that the magnitude of the gravitational field is 2g and its mass is half the mass of Earth. Since the gravitational field is 2g, we can substitute g with 2g in the equation and solve for R in terms of Rg:
2g = GM/R2 → 2gR2 = GM → 2gR2 = (GMg)/(2Rg) → R2/Rg = 1/(2gMg) → R = sqrt(1/(2gMg)) * Rg
#SPJ12
To find the radius of a planet with a gravitational field twice that of Earth's and half the mass, the radius is calculated to be half of Earth's radius.
The magnitude of the gravitational field strength g on a planet is given by the equation g = G(M/R^2), where G is the universal gravitation constant, M is the planet's mass, and R is the planet's radius. Given that the gravitational field on the surface of the particular planet is 2g where g is Earth's gravitational field, and the planet's mass is half of Earth's mass, we can derive the planet's radius in terms of Earth's radius Rg. Setting up the proportion (G(1/2M_Earth)/(R^2)) / (G(M_Earth)/(Rg^2)) = 2, and simplifying, we find that R^2 = (1/4)Rg^2. Taking the square root of both sides gives us the final relation R = (1/2)Rg.
#SPJ3
Answer:
Explanation:
Archimides' principle states the definition of buoyant force.
These are the imporant features of the buoyant force that you need to know:
Answer:
an immersed object is buoyed up by force equal to the weight of the fluid it displaces
Answer:
The ball will fall back and land to Elle's hands.
Explanation:
The bus move in a straight line with constant velocity means that there is no change of direction and no acceleration. Inertia can change the direction of the ball and acceleration can change its velocity. Since these two factors is not present in this scenario, the ball only has vertical movement. Thus the ball will land where it was thrown, in Elle's hands.
Correct Answer:
The ball will fall back to Elle's
The rate of change of velocity per unit time is called acceleration.
Its SI unit is m/s².
Formula of acceleration is v-u/t
The formation of rust or the iron oxide, is by the chemical reaction between iron and atmospheric oxygen. Hence, it is a chemical change involving the formation of new product.
A chemical change is accompanied by the making or breaking or chemical bonds and the formation of new products. Whereas, a physical change does not involve the change in chemical bond. Phase transitions, change in size,shape etc. are physical changes.
The rust formed in the iron material is iron oxide or Fe₂O₃. This process of forming rust by the action of air or water is called corrosion. Iron reacts with atmospheric oxygen or oxygen from water forms the rust.
The formation of rust makes the material destroy and to prevent this process some anticorrosive materials have to be applied. Hence, formation of rust is a chemical change.
To find more on corrosion, refer here:
#SPJ2