Polarized sunglasses work by A. blocking light waves that vibrate in one plane. B. gradually refracting light as it passes throu
2 answers:
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Hi there!
We can use the conservation of angular momentum to solve.
Recall the equation for angular momentum:
We can begin by writing out the scenario as a conservation of angular momentum:
= moment of inertia of the merry-go-round (kgm²)
= angular velocity of merry go round (rad/sec)
= final angular velocity of COMBINED objects (rad/sec)
= moment of inertia of boy (kgm²)
= angular velocity of the boy (rad/sec)
The only value not explicitly given is the moment of inertia of the boy.
Since he stands along the edge of the merry go round:
We are given that he jumps on the merry-go-round at a speed of 5 m/s. Use the following relation:
Plug in the given values:
Now, we must solve for the boy's moment of inertia:
Use the above equation for conservation of momentum:
Answer:
(a). The decay constant is
The half life is 11.3 hr.
(b). The value of N₀ is
(c). The sample's activity is 1.87 mCi.
Explanation:
Given that,
Activity
Time
Activity R= 8 mCi
(a). We need to calculate the decay constant
Using formula of activity
Put the value into the formula
We need to calculate the half life
Using formula of half life
Put the value into the formula
(b). We need to calculate the value of N₀
Using formula of
Put the value into the formula
(c). We need to calculate the sample's activity
Using formula of activity
Put the value intyo the formula
Hence, (a). The decay constant is
The half life is 11.3 hr.
(b). The value of N₀ is
(c). The sample's activity is 1.87 mCi.