Answer:
Explanation:
a ) angular frequency ω =
k is spring constant and m is mass attached
ω =
= 3.6515 rad / s
frequency of oscillation n = 3.6515 / (2 x 3.14)
= .5814 s⁻¹
x = .1 mcos(ωt)
= .1 mcos(3.6515t)
b ) maximum speed = ωA , A is amplitude
= 3.6515 x .1
= .36515 m /s
36.515 cm /s
maximum acceleration = ω²A
= 3.6515² x .1
= 1.333 m / s²
c ) Kinetic energy at displacement x
= 1/2 m ω²( A²-x²)
potential energy =1/2 m ω²x²
so 1/2 m ω²( A²-x²) = 1/2 m ω²x²
A²-x² = x²
2x² = A²
x = A / √2
<h3><u>Answer;</u></h3>
Argon
<h3><u>Explanation;</u></h3>
- Phosphorus is an element found in group 15 of the periodic table, it is one of the element that belongs to nitrogen family.
- The element phosphorus exhibits allotrophy, namely; white phosphorus, red phosphorus and black phosphorus.
- <u>Phosphorus, particularly the white phosphorus combines with oxygen so easily that it catches fire automatically. Thus, as a safety precaution, white phosphorus is stored under water in laboratories.
</u>
- <u>It may be also stored in argon, since argon is an inert element which belongs to the noble gases group.</u>
Yes, because potential energy is energy stored up by an object.
Answer:
Explanation:
For horizontal equilibrium-
T
3
=T
1
sinθ
For vertical equilibrium-
T
2
=T
1
cosθ
Taking ratios-
T
2
T
3
=tanθ
And for equilibrium of body T
2
=5kgwt=5×10=50N
⟹tanθ=
6
5
or θ=tan
−1
6
5