Answer:
(a) 185 N/m
(b) 3.083 kg
Explanation:
(a)
Using,
E = 1/2ke²....................... Equation 1
Where E = work done to compress the spring, k = spring constant of the spring, e = compression of the spring.
make k the subject of the equation
k = 2E/e²............... Equation 2
Given: E = 3.7 J, e = 0.20 m
Substitute into equation 2
k = 2(3.7)/0.2²
k = 185 N/m.
(b)
Using,
F = ma.............. Equation 2
Where F = force applied to the spring, m = mass attached to the spring, a = acceleration of the spring.
But from hook's law,
F = ke................. Equation 3
substitute equation 3 into equation 2
ke = ma
make m the subject of the equation
m = ke/a................ Equation 4
Given: k = 185 N/m, e = 0.2 m, a = 12 m/s²
Substitute into equation 4
m = 185(0.2)/12
m = 3.083 kg
Answer:
Explanation: In DC circuit, the current will flow for a short time, which is required to charge the capacitor. Once you switch it on, it spikes and the gradually decreases to almost zero (0) as the capacitor becomes fully charged.
In an AC circuit, the circuit acts as if the current is flowing throw the plates whereas is not actually flowing. The circuit acts like the AC is flowing through the capacitor.
The atomic number of an element is the number of protons the element has, so the element with the atomic number 55 has 55 protons.
Answer:
2PBr₃ + 3Cl₂ → 2PCl₃ + 3Br₂
2Na + MgCl₂ → 2NaCl + Mg
Explanation:
A balanced chemical equation is a chemical equation that have an equal number of elements of each type on both sides of the equation
Among the given chemical reactions, we have;
2PBr₃ + 3Cl₂ → 2PCl₃ + 3Br₂
In the above reaction;
The number of phosphorus, P, on either side of the equation = 2
The number of bromine atoms, Br, on either side of the equation = 6
The number of chlorine atoms, Cl, on either side of the equation = 6
Therefore, the number of elements in the reactant side and products side of the reaction are equal and the reaction is balanced
The second balanced chemical reaction is 2Na + MgCl₂ → 2NaCl + Mg
In the above reaction, there are two sodium atoms, Na, one magnesium atom and two chlorine atoms on both sides of the reaction, therefore, the reaction is balanced
To solve this problem we will start from the given concept in which the number of turns is equivalent to the length of the thread per circumference of spool. That is:
![N = \frac{l}{\phi}](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7Bl%7D%7B%5Cphi%7D)
Where,
l = length of the thread
= circumference of spool
For \phi we have that,
![\phi = 2\pi r \rightarrow 2\pi (0.01)](https://tex.z-dn.net/?f=%5Cphi%20%3D%202%5Cpi%20r%20%5Crightarrow%202%5Cpi%20%280.01%29)
For l we have that
l = 62.8m
Finally the number of Turns would be,
![N = \frac{l}{\phi}](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7Bl%7D%7B%5Cphi%7D)
![N = \frac{62.8}{2\pi (0.01)}](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7B62.8%7D%7B2%5Cpi%20%280.01%29%7D)
![N = 1000turns](https://tex.z-dn.net/?f=N%20%3D%201000turns)
Therefore the number of turns of thread on the spool are 1000turns.