Answer:
The diameter of the hose is 0.326 mm.
Explanation:
Given that,
Speed of car = 28 miles/galllon
We need to calculate the radius
The rate of flow of fluid is from the equation of continuity

Where, A = area of cross sectional

We know that,
The velocity is the ratio of displacement of gas per unit time.


Put the value into the formula



We need to calculate the diameter of the hose

Put the value of r


Hence, The diameter of the hose is 0.326 mm.
To solve the problem it is necessary to apply the Torque equations and their respective definitions.
The Torque is defined as,

Where,
I=Inertial Moment
Angular acceleration
Also Torque with linear equation is defined as,

Where,
F = Force
d= distance
Our dates are given as,
R = 30 cm = 0.3m
m = 1.5 kg
F = 20 N
r = 4.0 cm = 0.04 m
t = 4.0s
Therefore matching two equation we have that,

For a wheel the moment inertia is defined as,
I= mR2, replacing we have





Then the velocity of the wheel is

Therefore the correct answer is D.
D. Yuri Gagarin
(Typing this to circumnavigate the 20 character minimum requirement)
-981N would be the reaction force of a person be that stands completely still with a mass of 100 kg.
An opposing force to an action force is referred to as a reaction force. The response force that results from surface engagement and adhesion while sliding is known as friction. Usually, the activities of applied forces result in reaction forces and reaction moments.
As,
F = ma
where, F = force
m = mass of object
a = acceleration due to gravity
Plugging in the values we get,
F = 100kg × 9.81m/s
F = 981 N
Since, reaction force acts opposite to action force so the correct answer is -981N.
Learn more about force here;
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The charge on each coin is equal to
Given the following data:
Force = 2.0 Newton
Radius = 1.5 meters
To determine the charge on each coin, we would apply the law of electrostatic forces:
Mathematically, the law of electrostatic forces is given by the formula:
Note: (since the coin carry identical electric charges).
Therefore, the formula becomes:
Making q the subject of formula, we have:
Substituting the given parameters into the formula, we have;