Answer:
890 N
Explanation:
Acceleration is change in velocity over change in time.
a = Δv / Δt
a = (11 m/s − 0 m/s) / 0.26 s
a = 42.3 m/s²
Force is mass times acceleration.
F = ma
F = (21 kg) (42.3 m/s²)
F ≈ 890 N
Given Information:
Mass of electron = m = 9x10⁻³¹ kg
initial speed of electron = v₁ = 0.92c
Force = F = 1.4x10⁻¹³ J
Distance = d = 3 m
Required Information:
Final speed of electron = v₂ = ?
Answer:
Final speed of electron = v₂ = 2.974x10⁸ m/s
Explanation:
As we know from the conservation of energy,
E₂ - E₁ = W
E₂ = E₁ + W
Where E₂ is the final energy of electron and E₁ is the initial energy of electron
The above equation can be written in the form of particle energy
γ₂mc² = γ₁mc² + W
where γ₁ and γ₂ are given by
γ₁ = 1/√1 - (v₁/c)²
γ₂ = 1/√1 - (v₂/c)²
First calculate γ₁
γ₁ = 1/√1 - (0.92c/c)²
γ₁ = 2.55 m
Now calculate γ₂
γ₂ = (γ₁mc² + W)/mc²
First we need to find the work done
W = F*d
W = 1.4x10⁻¹³*3
W = 4.2x10⁻¹³ J
so γ₂ is
γ₂ = (2.55*9x10⁻³¹*(3x10⁸)² + 4.2x10⁻¹³)/9x10⁻³¹*(3x10⁸)²
γ₂ = 7.73
Now we can find the new speed of the electron
γ₂ = 1/√1 - (v₂/c)²
Re-arranging the above equation results in
v₂ = c*√(1 - 1/γ₂²)
v₂ = 3x10⁸*√(1 - 1/7.73²)
v₂ = 2.974x10⁸ m/s
Answer:
2.43 m
Explanation:
From the question given above, the following data were obtained:
Number of wave crest = 7
Time = 10 s
Distance between each crest = 2.43 m
Wavelength =?
The wavelength of a wave is simply defined as the distance between two crest or trough of a wave. This simply means that we can obtain the wavelength of a wave by calculating the distance between two crest i.e
Wavelength = distance between each crest.
From the question given above, we were told that the distance between each crest is 2.43 m.
Therefore, the wavelength of the wave is 2.43 m
Answer:
A.
Explanation:
The flux through the Gaussian sphere of radius centered at the origin,
Therefore:
φ
charge:
,
φ=
substitute the values
φ=
φ=
Answer:
R = 0.14 Ω
Explanation:
The resistance of a metal is given by the relation
R =
where ρ the resistivity is 5.6 10-8 Ω m, they also give the length and the cross section (area)
Let's reduce the magnitudes to the SI system
L = 200cm (1m / 100cm) = 2.00m
A = 8.0 10⁻⁷ m²
let's calculate
R = 5.6 10⁻⁸
R = 1.4 10⁻¹ Ω
R = 0.14 Ω