Answer:
The sketch for the Gravitational force F and the potential energy U are attached to this answer.
Explanation:
To obtain the gravitational force, we can consider the gravitational field GF(r) as:
To calculate the gravitational field we can use the Gauss theorem. By considering a homogeneous mass of the sphere (constant density) and the spherical symmetry, we can determinate than the gravitational field direction is .
Considering a constant density:
Applying a spherical gaussian surface for different radius r:
for R<b:
for b<R<a:
for a<R:
For the potential energy you can integrate the field to obtain the gravitational potential and the multiplying for the particle mass:
for a<R:
for b≤R≤a:
for R≤b:
Answer:
32.6mm
Explanation:
Using area of a sphere(bulb) = 4πr²
So A is proportional to radius²
So the Energy will be proportional to r²
But 120/80 = 1.5 is the energy factor so
Using
1.5/d² = 1/r²
1.5/40²= 1/r^2
r = √( 40²/ 1.5)
r = 32.6m
The kinetic energy of a 204 kg motorcycle moves with a velocity of 6 m/s is 3672 joules (3672=0.5*204*6^2). This problem can be solved using the formula of an object's kinetic energy which is the energy of a motion. The formula of an object's kinetic energy is stated as KE = 0.5*m*v^2 where KE is the objects' kinetic energy amount, m is the object's mass, and v is the object's velocity<span>.</span>
It is possible for both objects to be resting and not paying attention to what's coming their way, and they will remain at rest because even their alarm can't wake them up.