Answer:
d = 0.544 m
Explanation:
To solve this problem we must work in two parts: one when the surface has no friction and the other when the surface has friction
Let's start with the part without rubbing, let's find the speed that the box reaches., For this we use the conservation of mechanical energy in two points: maximum compression and when the box is free (spring without compression)
Initial, maximum compression
Em₀ = Ke = ½ k x²
Final, free box without compressing the spring
= K = ½ m v²
Emo = 
½ k x² = ½ m v²
v = √ (k / m) x
Let's reduce the SI units measures
x = 20 cm (1m / 100cm) = 0.20 m
v = √ (100 / 2.5) 0.20
v = 1,265 m / s
Let's work the second part, where there is friction. In this part the work of the friction force is equal to the change of mechanical energy
= ΔEm =
- Em₀
= - fr d
Final point. Stopped box
= 0
Starting point, starting the rough surface
Em₀ = K = ½ m v²
With Newton's second law we find the force of friction
fr = μ N
N-W = 0
N = W = mg
fr = μ mg
-μ m g d = 0 - ½ m v²
d = ½ v² / (μ g)
Let's calculate
d = ½ 1,265² / (0.15 9.8)
d = 0.544 m
Answer:

Explanation:
Energy density in magnetic field is given as;

where;
B is the magnetic field strength
Energy density of electric field

where;
E is electric field strength
Take the ratio of the two fields energy density


But, Electric field potential, V = E x L = IR (I is current and R is resistance)

Now replace E x L with IR

Also, B = μ₀I / 2πr, substitute this value in the above equation

cancel out the current "I" and factor out μ₀

Finally, the equation becomes;

Therefore, the correct option is (d) μ₀/ϵ₀ (L /R 2πr)²
The density of the metal can be determined through the formula [n*MW]/ Na*[a^3] . substituting, we get,
<span>d = [n*MW]/ Na*[a^3]
</span><span>d = [4 atoms*42.3 g/mol]/ [6.022 x 1023atoms/mol* (sqrt 8 *1.20x10-10)^3]
</span>d = 0.719 g/cm3
Answer:
No
Explanation:
In the photoelectric effect,
The number of the electrons which are being emitted is directly proportional to the intensity of the light and is independent on the frequency of the incident radiation of the light which has the frequency greater than the threshold frequency.
Thus, on increasing the frequency of the light which is being shinned on the metal , there is no change in the electrons which are being emitted.