<span>closing the switch completes the circuit</span>
Answer:
Effective half-time of the tracer is 3.6 days
Explanation:
The formula for calculating the decay due to excretion for the first process is ;

here ;
= initial number of tracers
Then to the second process ; we have :

The total decay is as a result of the overall process occurring ; we have :
------ (1)
here ;

Putting the values in (1);we have :


As we also know that:
![\frac{1}{t_{1/2}} = \frac{[t_{1/2}]_{radiation}+[t_{1/2}]_{excretion}}{[t_{1/2}]_{radiation}*[t_{1/2}]_{excretion}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bt_%7B1%2F2%7D%7D%20%3D%20%5Cfrac%7B%5Bt_%7B1%2F2%7D%5D_%7Bradiation%7D%2B%5Bt_%7B1%2F2%7D%5D_%7Bexcretion%7D%7D%7B%5Bt_%7B1%2F2%7D%5D_%7Bradiation%7D%2A%5Bt_%7B1%2F2%7D%5D_%7Bexcretion%7D%7D)
![\frac{1}{t_{1/2}}_{effective}} = \frac{[t_{1/2}]_{radiation}+[t_{1/2}]_{excretion}}{[t_{1/2}]_{radiation}*[t_{1/2}]_{excretion}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bt_%7B1%2F2%7D%7D_%7Beffective%7D%7D%20%3D%20%5Cfrac%7B%5Bt_%7B1%2F2%7D%5D_%7Bradiation%7D%2B%5Bt_%7B1%2F2%7D%5D_%7Bexcretion%7D%7D%7B%5Bt_%7B1%2F2%7D%5D_%7Bradiation%7D%2A%5Bt_%7B1%2F2%7D%5D_%7Bexcretion%7D%7D)



= 3.6 days
Answer:
The work done required on the coin during the displacement is 21.75 w.
Explanation:
Given that,
A coin slides over a friction-less plane i.e friction force = 0.
The co-ordinate of the given point is (1.40 m, 7.20 m).
The position vector of the given point is represented by
.
The displacement of the coin is

The force has magnitude 4.50 N and its makes an angle 128° with positive x axis.
Then x component of the force = 4.50 cos128°
The y component of the force = 4.50 sin128°
Then the position vector of the force is


We know that,
work done is a scalar product of force and displacement.


=(-2.77×1.40+ 3.56×7.20) w
=21.75 w
The work done required on the coin during the displacement is 21.75 w.
Area under the line and above the axis on a velocity - time graph represents the displacement of the object.