A) The formula for kinetic energy is E = 1/2 mv^2, so the energy of the ball is 1/2 * 2 * 10^2 = 100J.
b) Energy is always conserved, and so if no energy is lost to resistive forces then all 100J of kinetic energy came from its potential energy at the top of the track.
c) The formula for potential energy is E = mgh, which we can rearrange for h = E/mg. We know the energy, the mass and the strength of gravity, so we can find h = 100 / (2*9.81) = 5.10m.
To solve the exercise it is necessary to keep in mind the concepts about the ideal gas equation and the volume in the cube.
However, for this case the Boyle equation will not be used, but the one that corresponds to the Boltzmann equation for ideal gas, in this way it is understood that
Where,
N = Number of molecules
k = Boltzmann constant
V = Volume
T = Temperature
P = Pressure
Our values are given as,
Rearrange the equation to find V we have,
We know that length of a cube is given by
Therefore the Length would be given as,
Therefore each length of the cube is 3.44nm
Answer:
yes nucleus is found in plant and animal cells.
Hope this helps :)
Answer:
Tբ = (C₁T₁ + C₂T₂)/(C₁ + C₂) = (C₁T₁)/(C₁ + C₂) + (C₂T₂)/(C₁ + C₂)
Explanation:
Let's Assume that T₁ > T₂, this means that, T₁ > Tբ > T₂
The zeroth law of thermodynamics explains that two bodies in thermal equilibrium will eventually end up with the same final body temperature.
Heat lost by body 1 = Heat gained by body 2
C₁ (T₁ - Tբ) = C₂ (Tբ - T₂)
C₁T₁ - C₁Tբ = C₂Tբ - C₂T₂
C₁Tբ + C₂Tբ = C₁T₁ + C₂T₂
Tբ(C₁ + C₂) = C₁T₁ + C₂T₂
Tբ = (C₁T₁ + C₂T₂)/(C₁ + C₂)
Tբ = (C₁T₁)/(C₁ + C₂) + (C₂T₂)/(C₁ + C₂)
Answer:
Explanation:
Force on the electron = q ( v x B )
q = - 1.6 x 10⁻¹⁹
v = (5.9i−6.4j)×10⁴
B = (−0.63i+0.65j)
v x B = (5.9i−6.4j)×10⁴ x (−0.63i+0.65j)
= (3.835 - 4.032 ) x 10⁴ k
= - 1970 k
Force on the electron = q ( v x B )
= - 1.6 x 10⁻¹⁹ x -1970 k
= 3.152 x 10⁻¹⁶ k
z-component of the force on the electron
Fz = 3.152 x 10⁻¹⁶ N
