<span>This
is because astronomers have discovered that
the Crab Nebula is 6500 light years from earth. This means it takes 6500 earth years
for light to get from the Crab Nebula to
earth. Therefore, if we are able to observe the
Crab Nebula and beyond it then it means that earth has been in existence for 6500 years and
over. </span>
Answer:
60 m/s (in the opposite direction)
Explanation:
By conservation of momentum,
Initial momentum of board + Initial momentum of man = Final momentum of board + Final momentum of man
=> 0 + 40*12 = 8*(-v) + 0
=> v = -60 [ Negative indicates opposite direction ]
(1) The position around equilibrium of an object in simple harmonic motion is described by

where
A is the amplitude of the motion

is the angular frequency.
The velocity is the derivative of the position:

where

is the maximum velocity of the object.
The acceleration is the derivative of the velocity:

where

is the maximum acceleration of the object.
We know from the problem both maximum velocity and maximum acceleration:


From the first equation, we get

(1)
and if we substitute this into the second equation, we find the angular fequency

while the amplitude is (using (1)):

(b) We found in the previous step that the angular frequency of the motion is

But the angular frequency is related to the period by

and so, the period is
Answer:
3683.67 m
Explanation:
Formula for maximum height of projectile is given by the equation;
h = u²/2g
Where u is initial velocity and g is acceleration due to gravity
We are given u = 190 m/s
Thus;
h = 190²/9.8
h = 36100/9.8
h = 3683.67 m