A small uniform disk and a small uniform sphere are released simultaneously at the top of a high inclined plane, and they roll d
1 answer:
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To solve this problem we will begin by finding the force on each of the elements. For this it will be necessary to obtain the mass, which can be related to density and volume. Finally, by balancing forces it will be possible to obtain the final value of the maximum mass that can be lifted.
By Newton's second law we have,
Here,
g = Gravitational acceleration
m = mass
At the same time mass can be described as,
Therefore the Force 1 is,
Applying the same concepto but for the second mass we have,
Now by equilibrium we have,
Therefore the maximum mass lift by balloon is
Answer:
a) 0 b) 0 c) -9*10⁵ N/C
Explanation:
a)
- In electrostatic conditions, no electric field can exist inside a conductor.
- As the distance r=5 cm falls inside the conductor, the electric field is just zero.
b)
- Same as above, as r=10 cm is still inside the spherical conductor.
c)
- At r= 50 cm. from the center of the spherical conductor, we can apply Gauss' Law in order to get the value of the electric field.
- By symmetry, the electric field, at a same distance from the center, must be radial, and constant on a spherical surface concentric with the spherical conductor.
- So, we can write the following equation for Gauss'Law:
- If E is constant, we can take it out of the integral, and integrate all the closed spherical surface, as follows:
- So, we can solve for E, as follows:
- E = -9*10⁵ N/C (radially inward, taking the outward direction as positive)