Question 28
1 answer:
You might be interested in
Answer:
Period is 1.57 seconds
Explanation:
From simple harmonic motion :
T = 2π√(2.5÷10)
T = 0.25 × 2π
T = 1.57 s
Answer:
<em>If the distance doubles, the gravitational force is divided by 4</em>
Explanation:
<u>Newton’s Universal Law of Gravitation </u>
Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.
Where:
m1 = mass of object 1
m2 = mass of object 2
r = distance between the objects' center of masses
G = gravitational constant: 6.67\cdot 10^{-11}~Nw*m^2/Kg^2
If the distance between the interacting objects doubles to 2r, the new force F' is:
Operating:
Substituting the original value of F:
If the distance doubles, the gravitational force is divided by 4
Answer:
Explanation:
First of all, let's remind that:
- The kinetic energy of an object is given by , where m is the mass and v is the speed
- The momentum of an object is given by
- The inertia of an object is proportional to its mass, so we can write , where k just indicates a constant of proportionality
In this problem, we have:
- (the two objects have same kinetic energy)
- (A has three times the momentum of B)
Re-writing both equation we have:
If we divide first equation by second one we get
And if we substitute it into the first equation we get
So, B has 9 times more mass than A, and so B has 9 times more inertia than A, and their ratio is: