Answer:
K = 40N/m
Explanation:
According to Hooke’s law
Energy = 1/2 kx^2
K is the spring constant
x = displacement
From the question
Energy =5J
x = 0.5m
K = ?
Using the above formula,
We have
5 = 1/2 x k x (0.5)^2
5 = 1/2 x k x (0.5 x 0.5)
5 = 1/2 x k x 0.25
5 = 0.25k/ 2
Cross multiply
5 x 2 = 0.25k
10 = 0.25k
Divide both sides by 0.25 to get k
10/0.25 = 0.25k/ 0.25
40 = k
K = 40N/m
<span>Homeostasis maintains internal balance of the cell.-- Things like shiver if cold sweating if hot to maintain internally </span>
Answer:
A. F=107.6nN
B. Repulsive
Explanation:
According to coulombs law, the force between two charges is express as
F=(Kq1q2) /r^2
If the charges are of similar charge the force will be repulsive and if they are dislike charges, force will be attractive.
Note the constant K has a value 9*10^9
Hence for a charge q1=7.10nC=7.10*10^-9, q2=4.42*10^-9 and the distance r=1.62m
If we substitute values we have
F=[(9×10^9) ×(7.10×10^-9) ×(4.42×10^-9)] /(1.62^2)
F=(282.4×10^-9)/2.6244
F=107.6×10^-9N
F=107.6nN
B. Since the charges are both positive, the force is repulsive
Answer:
the cost of operating the light bulb is 72 cents.
Explanation:
Given;
cost of electricity, C = 6 cents / kW.h
power of light bulb, P = 100 W
time of light power consumption, t = 4 hours per day for 30 days
total time = 4 hours x 30 = 120 hours
Power consumed by the light bulb is calculated as;
P = 100 x 120 = 12000 w.h = 12 kW.h
Cost of power consumption = 6 cents/kWh x 12 kWh
= 72 cents
Therefore, the cost of operating the light bulb is 72 cents.
