- #1
canicon25
- 25
- 0
Homework Statement
Homework Equations
2ΔEk=-ΔEp
The Attempt at a Solution
-Gm1m2(1/r1-1/r2)-Q=mv2
plug in given values solve for v.
my answer is 5.35x106m/s
given answer is 2100m/s
Last edited:
canicon25 said:Homework Equations
The Attempt at a Solution
Watch your units, be careful to distinguish between altitude and radial distance, and most important of all, show your work. There's no way to tell you where you went wrong if you don't show your work.canicon25 said:my answer is 5.35x106m/s
given answer is 2100m/s
canicon25 said:so i tried it and did get correct answer
0.5mv2+Q=-GMm(1/r1-1/r2)
r1=radius Earth + 400000km
r2=radius Earth + 100000km
when i solve for v i get 2133 m/s
canicon25 said:so i tried it and did get correct answer
0.5mv2+Q=-GMm(1/r1-1/r2)
r1=radius Earth + 400000km
r2=radius Earth + 100000km
when i solve for v i get 2133 m/s
Gravity is a force that attracts objects towards each other, and velocity is the rate at which an object's position changes over time. In terms of their relationship, gravity affects the velocity of an object by constantly pulling it towards the center of the Earth or another massive object. This results in an acceleration of the object towards the ground, which can be measured as the change in velocity over time.
The gravitational force between two objects is directly proportional to their masses. This means that as the mass of one or both objects increases, the force of gravity between them also increases. Conversely, as the distance between the objects increases, the force of gravity decreases.
Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity acting on an object. Mass is constant, while weight can change depending on the strength of the gravitational field. For example, an object would have a different weight on the moon compared to the Earth, but its mass would remain the same.
The acceleration due to gravity on a planet is dependent on its mass and radius. Generally, the larger the mass and radius of a planet, the stronger its gravitational pull and the higher the acceleration due to gravity. For example, the acceleration due to gravity on Earth is 9.8 m/s², while on Mars it is 3.7 m/s².
The equation F=ma, where F is force, m is mass, and a is acceleration, can be used to solve many gravitation and velocity problems. By rearranging the equation, we can calculate the acceleration of an object due to gravity (a = F/m) or the force of gravity acting on an object (F = ma). This equation is especially useful in calculating the trajectory of objects with a constant acceleration, such as projectiles launched into the air.