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.
You could easily help yourSELF if you simply follow the instructions in the question and "Use Ohm's law" to calculate the resistance.
Ohm's Law: Resistance = (voltage) / (current)
Resistance = (10 v) / (5 A)
<em>Resistance = 2 ohms</em>
Answer:
The diameter of the axle is 5.08 cm.
Explanation:
Given that,
Force = 800 N
Distance = 78.0 m
Suppose we need to find the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm.
We need to calculate the radius of axle
Using formula of linear velocity
Where, v =velocity
r = radius
=angular velocity
Put the value into the formula
We need to calculate the diameter of axle
Using formula of diameter
Hence, The diameter of the axle is 5.08 cm.
Missing question: "<span>At what time is the velocity again zero?"
Solution:
the acceleration of the particle is
</span>
<span>the velocity of the particle is the derivative of the acceleration:
</span>
<span>where </span>
is the initial velocity, given by the problem.
So, to find when the particle's velocity is again zero, we should just put vx=0 and find t:
which has two solutions:
t=0 (beginning of motion)
and so, the particle velocity returns to zero after 20 seconds.