Answer:
Explanation:
We are told both planets describe a circular orbit around the star S. So, let's approach this problem begining with the angular velocity of the planet P1 with a period :
(1)
Where:
is the velocity of planet P1
is the radius of the orbit of planet P1
Finding :
(2)
(3)
(4)
On the other hand, we know the gravitational force between the star S with mass and the planet P1 with mass is:
(5)
Where is the Gravitational Constant and its value is
In addition, the centripetal force exerted on the planet is:
(6)
Assuming this system is in equilibrium:
(7)
Substituting (5) and (6) in (7):
(8)
Finding :
(9)
(10)
Finally:
(11) This is the mass of the star S
Answer:
Part a)
m = 232.1 gram
Part b)
M = 928.6 gram
Explanation:
Part a)
As we know that frequency of vibration for a given spring block system is given by formula
so if it is given as 0.90 Hz then we will have
Now if additional mass is attached with it the frequency changed to 0.50 Hz
now divide two equations
Part b)
Now the frequency is changed to 0.45 Hz
so again we will have
again divide it with first equation above
as we know that m = 232.1 g
so total mass needed for 0.45 Hz will be
Answer:
(i) by carrying an extra load may increase your weight.
(ii) the height of the stairs also which is the distance you climb through.
Explanation:
Since,
Power= work done/time
work done = force * distance.
*weight is a force.
*the height of the stairs is the distance.
the time depends inversely on the power which means that when the time spent is high the power is reduced. And in this case, we're trying to increase the power.