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New answer posted
4 months ago
Contributor-Level 10
N = mg - F_L
f_s = mv²/R ≤ μsN = μs (mg - F_L)
F_L = m (v²/μsR - g)
New answer posted
4 months agoContributor-Level 10
E_ground (H-atom) = -13.6 eV
E_carbon = E_ground (H-atom) * Z²/n²
For carbon, Z=6.
-13.6 eV = -13.6 eV * (6²/n²)
1 = 36/n²
n² = 36
n = 6
New answer posted
4 months agoContributor-Level 10
K? = ½ mv² + ½ Iω²
Since I =? mr² and v=rω,
K? = ½ mv² + ½ (? mr²) (v/r)² = ½ mv² +? mv² = (7/10)mv² = 140 J
K_f = 0.05 K?
(7/10)mv_f² = 0.05 * (140)
(7/10)mv_f² = 7
v_f² = 20
v_f = √20 ≈ 4.47 m/s
New answer posted
4 months agoContributor-Level 10
t? + t? = t
v? /t? = α and v? /t? = β
t? = v? /α and t? = v? /β
v? /α + v? /β = t
v? (1/α + 1/β) = t
v? = (αβt) / (α + β)
Distance traveled = Area under speed-time graph
Distance = ½ * base * height = ½ * t * v?
Distance = ½ * t * (αβt) / (α + β) = (αβt²) / (2 (α + β)
New answer posted
4 months ago
Contributor-Level 10
Position vector about O (r_o) = 5i + 5√3j
Force vector (F) = 4i - 3j
Torque about O (τ_o) = r_o * F
τ_o = (5i + 5√3j) * (4i - 3j)
τ_o = -15k - 20√3k = (-15 - 20√3)k
Position vector about Q (r_q) = -5i + 5√3j
Torque about Q (τ_q) = r_q * F
τ_q = (-5i + 5√3j) * (4i - 3j)
τ_q = 15k - 20√3k = (15 - 20√3)k
New answer posted
4 months agoContributor-Level 10
Positive zero error = 0.02 cm
Reading = 8.5 + 6 * 0.01 = 8.56 cm
Actual reading = Reading - Positive zero error
Actual reading = 8.56 - 0.02 = 8.54 cm
New answer posted
4 months agoContributor-Level 10
The relationship between the de Broglie wavelengths of an electron (λe) and a photon (λp) is derived as follows:
For an electron: λe = h / mv = h / √ (2mE)
For a photon: λp = h / p = hc / E
Taking the ratio of the wavelengths squared:
(λe / λp)² = [h / √ (2mE)]² / [hc / E]²
(λe / λp)² = (h² / 2mE) * (E² / h²c²)
(λe / λp)² = E / 2mc²
(λe / λp) = (1/c) * √ (E / 2m)
New answer posted
4 months agoContributor-Level 10
Given:
- i = 10
- e = 1.6 x 10? ¹? C
- A = 5 x 10?
- V = 2 x 10? ³
The formula for current is I = neAV.
Rearranging for n (number of free electrons per unit volume):
n = I / (eAV)
n = 10 / (1.6 * 10? ¹? * 5 * 10? * 2 * 10? ³)
n = 625 * 10²?
New answer posted
4 months agoContributor-Level 10
Image by objective must be at focus of eye piece.
1/v - 1/u = 1/f?
1/5 - 1/u = 1 ; u = -5/4 cm
Hence, N = 50.
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