To determine the force of the system, we use Newton's Second Law of motion which relates force and mass where they are directly proportional and the constant of proportionality is the acceleration. We calculate as follows:
F = ma
F = 10.41 kg ( 6.5 m/s^2 )
F = 67.67 kg m / s^2 or N
Answer:
It increases by four times the initial amplitude.
Explanation:
The amplitude of a sounde is inversely proportional to the square of the distance between the listener and the sound source:
In this problem, the distance is decreased to hald the initial distance, so we can write
therefore, the new amplitude will be
So, the amplitude increases by a factor 4.
Answer:
0.333 i1
Explanation:
from figure
iB = i2
i1 = iA
i1 = iA = iB+iC = i2+iC
all resistances are equal o R
i1 = E/[R + 2R||R + R] = E/[8R/3] = 3E/8R
since if v is constant then i is inversely proportional to R
iB/iC = R/2R = 1/2
iC = 2iB = 2i2
and i1 = iB+iC = iB+2iB => i1 = 3iB = 3i2
thus i2 = i1/3
or
the equivalent resistance is
Req = [R || (R+R) ] + ( R + R)
Req = 2R/3 + 2R = 8R/3 ohm
current i1 = E / Req = E / ( 8R/3) = 3E/8R
i1 is divided in two parts as i2 = ib and ic
i1 is divided in i2 and ic in ratio 1 :2
Twice the current will flow through RC as will flow through RB and R2. So the current flowing in R1 and RA is divided by 3,
so i2 is 0.33*i1
i2 = [ 1 / (1+2) ] * i1 = 1/3 * i1
i2 = i1 / 3 = 0.333 i1
Answer:
v = 2591.83 m/s
Explanation:
Given that,
The electric field is 1.27 kV/m and the magnetic field is 0.49 T. We need to find the electron's speed if the fields are perpendicular to each other. The magnetic force is balanced by the electric force such that,
So, the speed of the electron is 2591.83 m/s.