Answer:

Explanation:
The force is defined as the negative of the derivative of the potential energy:

If we use the potential energy function given in this problem:

and we calculate the force, we get:

So, the force is

Answer:
320 N/m
Explanation:
From Hooke's law, we deduce that
F=kx where F is applied force, k is spring constant and x is extension or compression of spring
Making k the subject of formula then

Conversion
1m equals to 100cm
Xm equals 25 cm
25/100=0.25 m
Substituting 80 N for F and 0.25m for x then

Therefore, the spring constant is equal to 320 N/m
Answer:
#See solution for details.
Explanation:
1.
Tools:
.
:Calculate the speed of the wave using the time,
it takes to travel along the rope. Rope's length,
is measured using the meter stick.
-Attach one end of rope to a wall or post, shake from the unfixed end to generate a pulse. Measure the the time it takes for the pulse to reach the wall once it starts traveling using the stopwatch.
-Speed of the pulse can then be obtained as:

: Apply force of known value to the rope then use the following relation equation to find the speed of a pulse that travels on the rope.

-Use the measuring stick and measuring scale to determine
values of the rope then obtain
.
-Use the force measuring constant to determine
. These values can the be substituted in
to obtain 
Answer:
42.5W
Explanation:
To solve this problem we must go back to the calculations of a weighted average based on the time elapsed thus,

We need to calculate the average power dissipated by the 800\Omega resistor.
Our values are given by:


Aplying the values to the equation we have:


