Answer:
The mass of Mr. Thomson’s prius is 2650 kg.
Explanation:
We are given with, the kinetic energy of Mr. Thomson’s prius is 641300 J
He is moving with a velocity of 22 m/s
It is required to find the mass of Mr. Thomson’s prius.
Due to his motion, a kinetic energy will possess by him. The mathematical form of kinetic energy is given by :
Solving for m
Plugging all the values, we get :
So, the mass of Mr. Thomson’s prius is 2650 kg.
Answer:
σ = 0.255*10^-3 C/m²
Explanation:
The Electric field Intensity act due to plate = σ/ε₀, where σ is surface charge density of plate.
At equilibrium ,
Upward force = downward force
Tcosθ = mg ----(1)
Assuming that the Forward force = backward force, then
Tsinθ = σq/ε₀
[ ∵ F = qE , ∴ F = qσ/ε₀ ] -----(2)
Dividing equation (2) by (1)
Tsinθ/Tcosθ = qσ/ε₀mg
⇒Tanθ = qσ/ε₀mg
σ = ε₀mg tanθ/q
Now substituting the values of
σ = (8.85*10^-12 * 1 * tan 30) / 2*10^-8
σ = (8.85*10^-12 * 0.5774) / 2*10^-8
σ = 5.11*10^-12 / 2*10^-8
σ = 0.255*10^-3 C/m²
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