Answer:
A
Explanation:
According to Newton's second law, acceleration is directly proportional to the net force. As the acceleration increases (when mass is constant), the net force increases. This is represented in the following formula.
a = acceleration
f = force
m = mass
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The solution would be like this for this specific problem:
Given: 175 g/L
1 gram/liter = 0.06242796 pound/cubic
foot
175 g/L * 0.06242796 pound/cubic foot
= 10.924893 lb/ft3
So, a foam material has a density of 10.924893 lb/ft3 in
units of lb/ft3.
In order for the object not to slip, the component of the weight parallel to the surface must be equal to the frictional force (which acts in the opposite direction):
The parallel component of the weight is:
where m is the object mass and
is the angle of the inclined plane.
The frictional force is
where
is the coefficient of static friction.
Equalizing the two forces, we have
from which we find
and so, in our problem the coefficient of static friction must be
The isotopes half life is 2 hours
Since given the following :
time = 8 hours × 3600s/hr = 28800 seconds
A₀ = 80 Bq as the first registration of detector counts per second
A = 5 Bq as the registration of detector counts per second eight hours later
Using the formula:
∴ A = A₀ e^-λt
∴ A/A₀ = e^-λt
∴ ln (A/A₀) = -λt
∴ λ = -ln (A/A₀) /t = ln2 / t_{1/2}
∴ t_{1/2} = -ln2 / ln(A/A₀) (t)
∴ t_{1/2} = -ln2 / ln(5/80) (8 hours) = 2 hours
