Answer:
<h2>1567.09 N/m</h2>
Explanation:
Step one:
given data
mass m=5kg
compression x= 3.13cm to m= 0.0313m
<em>According to Hooke's law, provided the elastic limit of an elastic material is not exceeded the extension e is directly proportional to the applied force</em>
F=ke
where
k= spring constant in N/m
e= extension/compression in
Step two:
assume g= 9.81m/s^2
F=mg
F=5*9.81
F=49.05N
substitute in the expression F=ke
49.05=k*0.0313
k=49.05/0.0313
k=1567.09 N/m
<u>The force constant (in N/m) of the spring is 1567.09 N/m</u>
Answer:
Population 1 indicates growth while Population 2 indicates a declining population
Explanation:
Here, using the given rate of change of the population, we want to determine which of the two is growing and which is declining
From the rate of change of both, we can determine this. Looking at the differential equation for the first one, we can see that it is of positive value. Looking at the differential equation for the second one. we can see it is of negative value
While a positive change rate indicates growth, a negative change rate will indicate otherwise
Hence, we can conclude that the one with a negative rate change will indicate a declining population
Well, they're not quite the way Newton expressed it, but out of all this mess of statements, there are two that are correct AND come from Newton's 2nd Law of Motion:
<em>-- The smaller the mass of an object, the greater the acceleration of that object when a force is applied. </em>
<em>-- The greater the force applied, the greater the acceleration.</em>
For the <u><em>other </em></u>statements in the question:
-- <em>Every reaction is equal to the force applied.</em> True; comes from Newton's <u><em>3rd</em></u> law of motion.
-- <em>Forces are balanced when they are equal and opposite.</em> True; kind of a definition, not from Newton's laws of motion.
-- <em>An object at rest or in motion will remain at rest or in motion unless acted upon by an unbalanced force.
</em> True; comes from Newton's <em><u>1st </u></em>law of motion.
