The acceleration of the electron is larger than the acceleration of the proton.
The reason for this is that the mass of the electron is smaller (about 1000 times smaller) than the mass of the proton. The two particles have same charge (e), so they experience the same force under the same electric field E: However, according to Newton's second law, the force is the product between the mass particle, m, and its acceleration, a: which can be rewritten as we said that the force exerted on the two particles, F, is the same, while the mass of the electron is smaller: therefore, from the last formula we see that the acceleration of the electron will be larger than that of the proton.
Given there are three blocks of masses , and (ref image in attachment)
When all three masses move together at an acceleration a, the force F is given by
F = ( + + ) *a ................(equation 1)
Also it is given that does not move with respect to , which gives tension T is exerted on pulley by only, Hence tension T is
T = *a ..........(equation 2)
There is also also tension exerted by . There are two components here: horizontal due to acceleration a and vertical component due to gravity g. Thus tension is given by
T = ................(equation 3)
From equation 2 and 3, we get
*a =
Squaring both sides we get
* = * (+)
* = ( * )+ ( *)
( - ) * = *
= */( - )
Taking square root on both sides, we get acceleration a
a = *g/()
Hence substituting the value of a in equation 1, we get
First we have to calculate the volume of the living room: V = L x W x H = 4.5 m * 3.4 m * 2.9 m V = 44.37 m³ We know that Density = 1.29 kg/m² D = m / V m = D · V m = 1.29 kg/m³ · 44.37 m³ m = 57.2373 kg ≈ 57.2 kg Answer: The approximate mass of air in living room is 57.2 kg.