Question

Answer and Explain all parts of this question. Spring on inclined plane problem.

A student designs a spring-loaded pop gun and mounts it on his desk. with the barrel tilted at an angle of 50 degrees above the horizontal. A 100 gram bail is to be pushed down onto a spring with stiffness constant 1000 N/m and released from rest when the spring is compresses by 20.0 cm, as shown in the figure. The ball is not attached to the spring; it is simply presses down against the spring initialy. Suppose that a constant 7.00 N kinetic frivtional force opposes the ball's motion within pop gun's barrel.

Answer 1

This question needs to be solved in the reverse way of circuit sloving. i.e we should start from the equivalent circuit itself. The last step of finding eqivalent cicuit is the first step to find the potential difference.

Remember that current in series connection is the same and the voltage in the parallel connection is the same, for resistors.
This is most important thing to keep in mind while solving these type circuits.

Now with the help of eqivalent resistance which is 3.5 ohm we get the value of total current = 0.779 Amps

hence moving forward we get the this eqivalent circuit was parallel comination of tw0 resistors of 7.7 ohm.
As they are in parallel hence voltage is same so by V=IR we the values of current in both the ciucuits as 0.389 Apms, taking V=3 and R=7.7ohm

Answer 1

further this 7.7ohm resistance was a series combination of three resistors 3,2, 2.7 ohm
And in series we have same current. thus taking the value of I= 0.389, as calculated above, we get the P.D across 2.7 ohm resistor as 1.0503V
And the voltage across 2 ohm resistor is 0.779V

Answer 2

The 2ohm resistor was combination of two 4ohm resistors in parallel and in parallel resistors the voltaage is same.
further this 4ohm was a combintion of two 8ohm resistors in paralle. Hence we have the P.D across both 8ohm resitors as 0.779 V