The time it takes the Polonium-194 to decay to 1/16 of its original amount is 2.8 seconds.
<h3>What is half-life?</h3>
half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay
To calculate the time it takes the sample of Polonium-196 to decay to 1/16 of its original amount, we use the formula below
Formula:
- = R/R'......... Equation 1
Where:
- n = Total number of time it takes Polonium-194 to decay to 1/16 of its original amount
- t = Half-life of Polonium-194
- R = Original amount of Polonium-194
- R' = Amount of Polonium-194 after decay
From the question,
Given:
Substitute these values into equation 1 and solve for n
Equating the base,
- n/0.7 = 4
- n = 0.7×4
- n = 2.8 seconds.
Hence, the time it takes the Polonium-194 to decay is 2.8 seconds.
Learn more about half-life here: brainly.com/question/25750315
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On a roller coaster, the greatest potential energy is at the highest point of the roller coaster
Answer: Total length is 15.7 centimeters.
Explanation:
The potential energy is modelled by applying Principle of Energy Conservation and Work-Energy Theorem:
The spring constant can be found by using Statics:
Where .
The total length is isolated from energy expression:
Answer: h = u^2 / 2g
Explanation:
Given the following :
Horizontal Velocity of projection= u
If :
magnitude of horizontal = magnitude of vertical Displacement
u = u
Minimum height of tower (h) =?
Horizontal Velocity = u
Gravity potential energy = mgh - - - (1)
Kinetic energy = 1/2 mu^2 - - - (2)
m = mass
Where u = magnitude of velocity
g = acceleration due to gravity
h = height
Equating (1) and (2)
mgh = 1/2 mu^2
gh = 1/2 mu^2
2gh = u^2
u = √2gh
Vertical component of Velocity 'v' will be:
u = √2gh
u = √2 × g × h
Square both sides
u^2 = 2 × g × h
h = u^2 / 2g