2*2*2 = 8
<span>volume: 8 cm^3</span>
Answer:
Assuming the given radius is 10⁶ km, the radius of the second planet is 1.31 * 10⁶ km.
Explanation:
Newton's law of gravity:
(1)
Centripetal force:
(2)
On a circular orbit both forces must be equal:
(3)
Solving for ω:
(4)
The period T is given by:
(5)
Taking the ratio of two periods:
(6)
Solving for r₁:
(7)
Answer:
The point will travel a distance of 15708 centimeters in 30 seconds of rotation.
Explanation:
In this case, we see a disk rotating at constant rate, the travelled distance of a point on the outside rim (), in centimeters, is determined by using this expression:
(1)
Where:
- Angular speed, in radians per second.
- Radius of the disk, in centimeters.
- Time, in seconds.
If we know that , and , then the travelled distance of the point is:
The point will travel a distance of 15708 centimeters in 30 seconds of rotation.
The period of a mass-spring system is:
T = 2π
T = period, m = mass, k = spring constant
Given values:
T = 8π s
k = 2 N/m
Plug in and solve for m:
8π = 2π
= 4
m/2 = 16
m = 32 kg
Choice A
Answer:
The correct option is D
Explanation:
From the question we are told that
The speed of the first charge is
This is because it is at rest
The speed of the second charge is
Generally the force exerted by a magnetic field on a charge is mathematically represented as
Now looking at this above equation we can see that can only be maximum at and this only obtained when the direction of the charge (i.e its velocity ) is perpendicular to the direction of the magnetic field
so the correct option for this question is D