Start with 2,000 grams.
After 1 half-life, 1,000 grams are left.
After another half-life, 500 are left.
After another half-life, 250 are left.
After another half-life, 125 are left.
That was FOUR half-lifes.
X = 4 .
We know that the formula for static friction is:
Fs = μ N
where,
μ is the coefficient of static friction = 0.180
N is the normal force = weight of the cup = m g
We also know that from the Newton’s second law of motion,
the formula for net force is:
Fnet = m a
where m is the mass of the cup and a is the acceleration
of the cup
To prevent the cup from sliding backward, the static
friction Fs must cancel out the net Force Fnet, that is:
Fnet – Fs = 0
Therefore:
m a – μ N = 0
m a = μ N
m a = μ (m g)
Cancelling m:
a = μ g
a = 0.180 (9.81 m / s^2)
a = 1.7658 m / s^2
Therefore the plane can only have an acceleration of
about 1.77 m/s^2 before the cup starts to slide.
No. The correct one would be D .
The molarity remains the same so the ratio does not change