If a 50.0-kg mass weighs 554 n on the planet saturn, calculate saturn’s radius
1 answer:
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To address this issue, we will utilize the principles related to Gauss' law, which states that the electric flux across a surface corresponds to the object's charge divided by the permittivity of vacuum. In mathematical terms, this can be expressed as
It's crucial to remember that the net charge equals the difference between the two specified charges, so upon substitution,
The negative sign indicates that the flux is directed into the surface
Answer:
La magnitud del momento total es de 21.2 kg m/s y su dirección es de 39.5° respecto al eje x.
Explanation:
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El momento total se calcula como la suma de los momentos de las piezas.
El momento de cada pieza se calcula de la siguiente manera:
p = m · v
Donde:
p = momento.
m = masa.
v = velocidad.
El momento es un vector. La pieza de 200 g se mueve a lo largo del eje x, por lo que su momento será:
p = (m · v, 0)
p = (0.200 kg · 82.0 m/s, 0)
p = (16.4 kg m/s, 0)
La pieza de 300 g se mueve a lo largo del eje y. Su vector momento será:
p =(0, m · v)
p = (0, 0.300 kg · 45.0 m/s)
p = (0, 13.5 kg m/s)
El momento total es la suma de cada momento:
Momento total = (16.4 kg m/s, 0) + (0, 13.5 kg m/s)
Momento total = (16.4 kg m/s + 0, 0 + 13.5 kg m/s)
Momento total = (16.4 kg m/s, 13.5 kg m/s)
La magnitud del momento total se calcula de la siguiente manera:
La dirección del vector de momento se calcula utilizando trigonometría:
cos θ = px/p
Donde px es el componente horizontal del momento total y p es la magnitud del momento total.
cos θ = 16.4 kg m/s / 21.2 kg m/s
θ = 39.3 (39.5° si no redondeamos la magnitud del momento total)
<pFinalmente, la magnitud del momento total es 21.2 kg m/s y su dirección es 39.5° respecto al eje x.
Complete Question:
Picture yourself on an aluminum ladder on the ground, attempting to fix an electrical connection with a metal screwdriver featuring a metallic handle. Since you are sweating profusely, your body has a resistance of 1.60 kΩ.
(a) If you accidentally contact the "hot" wire from the 120 V power line, what current will flow through your body?
(b) What is the amount of electrical power transferred to your body?
Answer:
(a) 0.075A
(b) 9W
Explanation:
According to Ohm's law, the voltage (V) applied to or passing through a body corresponds to the current (I) via the relationship:
V ∝ I
=> V = I x R ----------------------(i)
Where;
R denotes the resistance of the body
(a) As mentioned;
Due to wet conditions, the body will conduct electricity, and possesses the following values;
V = supplied voltage = 120V
R = resistance of the wet body = 1.60kΩ = 1.6 x 1000Ω = 1600Ω
Substituting these values into equation(i):
120 = I x 1600
To find I;
I =
I = 0.075A
Thus the current passing through your body is 0.075A
(b) Electrical power (P), which is expressed in Watts (W), delivered to the body is the product of current (I) and voltage (V) received. Thus:
P = I x V ---------------------(ii)
Where;
I equates to 0.075A [as derived above]
V is 120V [as outlined in the question]
Plugging these values into equation (ii):
P = 0.075 x 120
P = 9W
Hence, the electrical power received by your body is 9W