Answer:
age of rock is 2 million years
Explanation:

Where
is mass remaining
is original mass
n= t/t(1/2) , which is the ratio of time to half life
= 1000atoms
=250 atoms



t =t(1/2) *n
t(1/2) =1000000 years
t=1000000 *2
t=2,000,000 years
Answer:
Part a)

Part b)

Part C)


Part d)
In horizontal direction velocity will remain constant

in vertical direction we have

Explanation:
Part a)
Horizontal speed of the cannon

angle of projection

now we have
horizontal speed = 
vertical speed = 
now the time taken by it to cover the distance 100 m from the wall



Part b)
Since it hits the ground in the same time
so the height of the castle is given as



Part C)
At highest point of the projection
the vertical component of the velocity will become zero
so we will have


Part d)
In horizontal direction velocity will remain constant
so we have

in vertical direction we have



Part e)
The reaction force is the glove pushing against the ball because the reaction force would be the ball pushing onto the glove.
Hope that helps :)
Answer:
69.66 Joule
Explanation:
mass of bicycle frame, mf = 8.29 kg
mass of wheel, mw = 0.820 kg
radius, r = 0.343 m
velocity, v = 3.6 m/s
There are two wheels in the bicycle.
There are two types of kinetic energy of the system one is kinetic energy of rotation and another is rotational kinetic energy.




K = 69.66 J