Answer:
(b)-3 m,-7 m
Explanation:
Displacement is a vector quantity that connects the initial position of an object to its final position after a certain motion.
Mathematically, displacement can be written as:
where
is the final position
is the initial position
The direction of this vector is from the initial position to the final position.
In order to calculate the displacement of an object, therefore, it is necessary to correctly take into account the sign of each motion, which gives the direction of each motion.
Let's analyze the three cases:
(a) -3 m, +5 m;
In this case, the object moves 3 m in the negative direction first, and then 5 meters in the positive direction; so the net displacement is
d = -3 + 5 = +2 m
(b)-3 m,-7 m;
In this case, the object moves 3 m in the negative direction first, and then 3 meters in the negative direction; so the net displacement is
d = -3 - 7 = -10 m
(c) 7 m, -3 m?
In this case, the object moves 7 m in the positive direction first, and then 3 meters in the negative direction; so the net displacement is
d = +7 + (-3) = +4 m
So, the only situation in which we have a net negative displacement is situation b).
Answer:
Answer in explanation.
Explanation:
The relationship between the charge on the capacitor and the potential difference across it is given as follows:
where,
Q = Charge on the Capacitor
C = Capacitance of the Capacitor
V = Potential Difference across the Capacitor
This relationship can be used to find the charge on a capacitor, using the voltmeter, as follows:
<u>The potential difference can be measured through the voltmeter. And the capacitance of the capacitor is a known constant value. Therefore, the charge can be found by taking product of both.</u>
<span>Here the force that is applied between the electron and proton is centripetal, so equate the two forces to determine the velocity.
We know charge of the electron which for both Q1 and Q2, e = 1.60 x 10^-19 C
The Coulombs Constant k = 9.0 x 10^9
Radius r = 0.053 x 10^-9m = 5.3 x 10^-11 m
Mass of the Electron = 9.11 x 10^-31
F = k x Q1 x Q2 / r^2 = m x v^2 / r(centripetal force)
ke^2 / r^2 = m x v^2 / r => v^2 = ke^2 / m x r
v^2 = ((1.60 x 10^-19)^2 x 9.0 x 10^9) / (9.11 x 10^-31 x 5.3 x 10^-11 )
v^2 = 4.77 x 10^12 = 2.18 x 10^6 m/s
Since one orbit is the distance,
one orbit = circumference = 2 x pi x r; distance s = v x t.
v x t = 2 x pi x r => t = (2 x 3.14 x 5.3 x 10^-11) / (2.18 x 10^6)
t = 33.3 x 10^-11 / 2.18 x 10^6 = 15.27 x 10^-17 s
Revolutions per sec = 1 / t = 1 / 15.27 x 10^-17 = 6.54 x 10^15 Hz</span>
Most of the information's required are already given in the question. Based on those information's the answer can be easily deduced.
Wavelength of the sound wave = 0.450 meters
Speed of the sound wave = 330 meters per second
We already know
v=f<span>λ
</span>330 = f * 0.450
f = 330/0.450
= 733.33 hertz
So the frequency of the wave is 733.33 hertz
