Answer:
a)5.88J
b)-5.88J
c)0.78m
d)0.24m
Explanation:
a) W by the block on spring is given by
W= 
kx² = (530)(0.149)² = 5.88 J
b) Workdone by the spring = - Workdone by the block = -5.88J
c) Taking x = 0 at the contact point we have U top = U bottom
So, mg
= kx² - mgx
And, = ( kx² - mgx
)/(mg) = 
]/(0.645x9.8)
= 0.78m
d) Now, if the initial initial height of block is 3
= 3 x 0.78 = 2.34m
then, kx² - mgx - mg =0
(530)x² - [(0.645)(9.8)x] - [(0.645)(9.8)(2.34) = 0
265x² - 6.321x - 14.8 = 0
a=265
b=-6.321
c=-14.8
By using quadratic eq. formula, we'll have the roots
x= 0.24 or x=-0.225
Considering only positive root:
x= 0.24m (maximum compression of the spring)
Answer:
Option D
Explanation:
Resistors are said to be connected in “Series”, when they are daisy chained together in a single line. Since all the current flowing through the first resistor has no other way to go it must also pass through the second resistor and the third and so on. Then, resistors in series have a Common Current flowing through them as the current that flows through one resistor must also flow through the others as it can only take one path.
Total Resistance = R₁ + R₂ +R₃ +R₄ ohm
Note then that the total or equivalent resistance, R has the same effect on the circuit as the original combination of resistors as it is the algebraic sum of the individual resistances.
Total resistance R = 3 + 3 + 3 +3
= 12 ohm
The spontaneous transformation of an unstable atomic nucleus into a lighter one, in which radiation is released in the form of alpha particles, beta particles, gamma rays, and other particles. The rate of decay of radioactive substances such as carbon 14 or uranium is measured in terms of their half-life .
The differential distribution of ions across the cell membrane is due to the "resting membrane potential".
<u>Option: C</u>
<u>Explanation:</u>
The unequal allocation of charged particles like ions between the internal and external portion of cell, and by the varying membrane permeability to various ion forms, understood as resting membrane potential.
Within a sleeping brain, Na+ and K+ ions exhibit concentration gradients throughout the membrane, which push their gradients down through channels, resulting in a differentiation of the charges that generates the resting potential. With K+ than Na+ ions, the membrane is even more permeable, so the resting potential is similar to potassium ion's equilibrium potential.
Answer:
False
Explanation:
Water hardness in most groundwater is due to a natural occurrence caused by the weathering of limestone, sedimentary rock and calcium bearing minerals. Hardness can also occur locally in groundwater from chemical and mining industry effluent or excessive application of lime to the soil in agricultural areas.
Limestone is not a metallic element or metallic alloy, although it does contain the metallic element calcium, it is not formed by the same processes as metals are.
