Answer:
I₁ =1250 kg.m²
Explanation:
Given that
Angular speed of Merry ,ω₁= 0.2 rad/s
Angular speed of technician ,ω₂= 0.04 rad/s
Moment of the inertia of the technician ,I₂= 5000 kg.m²
Lets assume that
Moment of the inertia of merry with respected to the ground=I₁
There is no any external torque ,that is why angular momentum of the system will be conserve.
Now by conserving angular momentum
I₁ ω₁=(I₁+I₂)ω₂
I₁ x 0.2 = (I₁ +5000 ) x 0.04
I₁ (0.2-0.04) = 5000 x 0.04
I₁ =1250 kg.m²
Answer:
Explanation:
Let the required velocity of rocket be v .
We shall use the formula of time dilation to find the velocity of rocket .
t =
t = 430
t' = 38
= .0078
=.9922
= .996
v = .996 x 3 x 10⁸ m /s
= 2.988 x 10⁸ m /s
B )
Kinetic energy of rocket
= 1/2 m v²
= .5 x 20000 x (2.988 x 10⁸ )²
= 8.9 x 10²⁰ J .
C )
This energy is 8.9 times the energy requirement of United states in the year 2005 .
Answer:
Planet C
Explanation:
The figure of the problem is missing: find it in attachment.
The magnitude of the gravitational force between two objects is given by the equation:
where
G is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between the objects
In this problem, we have four planets around planet X, and the mass of each planet is proportional to its size in the figure.
As we can see from the previous equation, the magnitude of the gravitational force is proportional to the mass of the planets: therefore, the planet with largest mass will exert the largest gravitational force on planet X.
From the figure, we see that planet C has the largest size, so the largest mass: therefore, planet C exerts the greatest gravitational force on planet X.
