A). If the half-life is 40 days, then 5 half-lives = (5 x 40) days.
b). If 5 half-lives have passed, then the radioactive portion of
the sample has been cut in half five times.
The amount that remains is (1/2)⁵ of the original amount.
That's (the original amount) x (1/2 · 1/2 · 1/2 · 1/2 · 1/2)
or
(the original amount) / 2⁵
or
(the original amount) / 32 .
Answer:
south
cross sectional area of the beam
Explanation:
v = Velocity of ions =
Number of ions per =
Charge density would be the product of number of ions per and the charge of electrons multiplied by 2 as they are doubly charged.
Current density is given by
The current density is
The direction of the current density is opposite to the movement of the charged particle. The particles are moving north so the direction of current density will be to the south.
Current is given by
where A is the cross sectional area of the beam .
So the cross sectional area of the beam is required to determine the total current in this ion beam.
The position at time t is
x(t) = 0.5t³ - 3t² + 3t + 2
When the velocity is zero, the derivative of x with respect to t is zero. That is,
x' = 1.5t² - 6t + 3 = 0
or
t² - 4t + 2 = 0
Solve with the quadratic formula.
t = (1/2) [ 4 +/- √(16 - 8)] = 3.4142 or 0.5858 s
When t =0.5858 s, the position is
x = 0.5(0.5858³) - 3(0.5858²) + 3(0.5858) + 2 = 2.828 m
When t=3.4142 s, the position is
x = 0.5(3.4142³) - 3(3.4142²) + 3(3.4142) + 2 = -2.828 m
Reject the negative answer.
Answer:
The velocity is zero when t = 0.586 s, and the distance is 2.83 m
When the acceleration is zero, the second derivative of x with respect to t is zero. That is,
3t - 6 = 0
t = 2
The distance traveled is
x = 0.5(2³) - 3(2²) + 3(2) + 2 = 0
Answer:
When the acceleration is zero, t = 2 s, and the distance traveled is zero.
Answer: Pros and cons okay
Explanation:
Pros: Produces no polluting gases. Waste is radioactive and safe disposal is very difficult and expensive.
Does not contribute to global warming.
Cons: Waste is radioactive and safe disposal is very difficult and expensive.
Local thermal pollution from wastewater affects marine life.
The force experienced by the foot is 1000 N
Explanation:
We can solve the question by applying Newton's third law, which states that:
<em>"When an object A exerts a force (called action) on an object B, then object B exerts an equal and opposite force (called reaction) on object A"
</em>
In this situation, we can identify the foot as object A, and the ball as object B.
We are told that the ball experiences a 1000 N force, so the foot exerts a force of 1000 N on the ball (action). As a consequence of Newton's third law, therefore, the ball also exerts an equal and opposite force of 1000 N (reaction) on the foot.
It is important to remember that action and reaction do not act on the same object, so they never appear at the same time in the same free-body diagram (which shows only the forces acting on one object).
Learn more about Newton's third law:
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