Answer:
Explanation:
To find the half-lifes of the isotope we need to use the following equation:
(1)
<em>where Nt: is the amount of the isotope that has not yet decayed after a time t, N₀: is the initial amount of the isotope, t: is the time and </em>
<em>: is the half-lifes.</em>
By solving equation (1) for t we have:
<u>Having that:</u>
Nt = 450
N₀ = 3150 + 450 = 3600,
The half-lifes of the isotope is:

Therefore, 3 half-lives of the isotope passed since the rock was formed.
I hope it helps you!
We solve this using special
relativity. Special relativity actually places the relativistic mass to be the
rest mass factored by a constant "gamma". The gamma is equal to 1/sqrt
(1 - (v/c)^2). <span>
We want a ratio of 3000000 to 1, or 3 million to 1.
</span>
<span>Therefore:
3E6 = 1/sqrt (1 - (v/c)^2)
1 - (v/c)^2 = (0.000000333)^2
0.99999999999999 = (v/c)^2
0.99999999999999 = v/c
<span>v= 99.999999999999% of the speed of light ~ speed of light
<span>v = 3 x 10^8 m/s</span></span></span>
Explanation:
It is given that,
Mass of the car 1, 
Initial speed of car 1,
(east)
Mass of the car 2, 
Initial speed of car 2,
(north)
(b) As the cars stick together. It is a case of inelastic collision. Let V is the common speed after the collision. Using the conservation of momentum as :




The magnitude of speed,

V = 12.22 m/s
(b) Let
is the direction the wreckage move just after the collision. It is given by :



Hence, this is the required solution.
W=Fd. Force is not given so we solve for it. F=ma, m=5kg, a=2m/s^2, F=10N. Distance is not given so we solve for it, x=.5a(t^2)=.5(2)(7x7)=49m. F=10N, d=49m, W=490J.
Following statements are true
(i) The leather jacket has a lower tendency to attract electrons than sweater.
When the sweater and the leather jacket are in contact with each other, the leather jacket loses electrons and thus becomes positively charged. the electrons are gained by the sweater and it becomes negatively charges.
The opposite charge attract. so the sweater ( negatively charged) will attract protons ( positively charged) . The leather jacket ( positively charged) will attract the electrons ( negatively charged).