Answer:
Explanation:
Given that the grand stone has initial angular velocity of
w(ini)= 6rad/
And it has a final angular velocity of
w(fin)=12.20rad/sec
Time taken is t=16s
Using equation of angular motion
To get angular acceleration (α)
w(fin)=w(ini)+αt
12.20=6+16α
16α=12.20-6
16α=6.2
α=6.2/16
α=0.3875rad/sec²
The angular acceleration is 0.39rad/s²
Angle that he turn using
w(fin)²=w(ini)²+2αθ
12.2²=6²+2×0.3875θ
12.2²-6²=0.775θ
0.775θ=112.84
Then, θ=112.84/0.775
θ=145.6radian
The angular displacement is 145.6rad
Answer:
See the answers below.
Explanation:
To solve this problem we must use the following equation of kinematics.

where:
Vf = final velocity = 10 [m/s]
Vo = initial velocity = 40 [m/s]
t = time = 5 [s]
a = acceleration [m/s²]
Now replacing:
![10=40-a*5\\40-10=a*5\\30=5*a\\a=6[m/s^{2}]](https://tex.z-dn.net/?f=10%3D40-a%2A5%5C%5C40-10%3Da%2A5%5C%5C30%3D5%2Aa%5C%5Ca%3D6%5Bm%2Fs%5E%7B2%7D%5D)
Note: The negative sign in the above equation means that the velecity is decreasing.
2)
To solve this second part we must use the following equation of kinematics.

where:
x = distance [m]
![(10)^{2} =(40)^{2} -2*6*x\\100=1600-12*x\\12*x=1600-100\\12*x=1500\\x=125[m]](https://tex.z-dn.net/?f=%2810%29%5E%7B2%7D%20%3D%2840%29%5E%7B2%7D%20-2%2A6%2Ax%5C%5C100%3D1600-12%2Ax%5C%5C12%2Ax%3D1600-100%5C%5C12%2Ax%3D1500%5C%5Cx%3D125%5Bm%5D)
Answer:
2.83 x 10^4m/s
Explanation:
First, let us calculate the time taken by the object to hit the surface of the earth.
H = 4.1 x 10^7m
g = 9.8m/s2
t = √(2H/g)
t = √((2x 4.1 x 10^7) /9.8)
t = 2892.64secs
Now, we can find the velocity with which the object strikes the earth as follows:
V = gt
V = 9.8 x 2892.64
V = 2.83 x 10^4m/s
Answer:
The recoil speed is 
Solution:
Wavelength of a blue-green photon, 
Now, the energy associated with the blue-green photon:

where
h = Planck's constant
C = speed of light ion vacuum


Also, we know that the recoil speed can be calculated by the KInetic energy which is equal to the Energy of the blue-green photon:

where
= velocity of Hydrogen atom
= mass of H-atom
Now,



Answer:
Time observed by the astronaut = 2.388 hours
Distance traveled be according to an observer on Earth = 1.27 × 10¹¹ m
Distance traveled according to the astronaut = 2.52 × 10¹² m
Explanation:
Given:
Speed of the astronaut, v = 0.980c
time = 12.0 hr
now, from the time dilation formula we have

here
t' is the time observed by the astronaut
c is the speed of the light = 3 × 10⁸ m/s
thus,

or
t' = 2.388 hours
Now,
Distance = Velocity × time
The distance traveled be according to an observer on Earth will be
Distance = 0.980c × ( 12 × 60 × 60 )
or
D = 0.980 × 3 × 10⁸ × ( 12 × 60 × 60 )
or
Distance = 1.27 × 10¹¹ m
And, The distance traveled according to the astronaut will be
Distance = velocity × t'
or
D = 0.980 × 3 × 10⁸ × ( 2.388 × 60 × 60 )
or
Distance = 2.52 × 10¹² m