Answer: 5.8kg
Explanation:
F - mg sinΦ = ma
Given that
M=?
g= 9.8
Φ= 30
a= 2
F= 40 then
40 - 9.8 * m * sin 30 = 2 * m
40 = 2 * m + 9.8 * m * sin 30
40 = (2 + 9.8 * sin 30) m
m = 40 / (2 + 9.8 * 0.5)
m = 40 / (2 + 4.9)
m = 40 / 6.9
m = 5.797kg
m = 5.8kg
Answer:
89.16pounds
Explanation:
The equation that defines this problem is as follows
W=k/X^2
where
W=Weight
K=
proportionality constant
X=distance from the center of Earth
first we must find the constant of proportionality, with the first part of the problem
k=WX^2=131x3960^2=2054289600pounds x miles^2
then we use the equation to calculate the woman's weight with the new distance
W=2054289600/(4800)^2=89.16pounds
The value of impedance Z of the circuit, when the rate at which electrical energy is dissipated in the resistor is 316 w, is 508 ohms.
<h3>What is impedance Z of the circuit?</h3>
The impedance Z of the circuit is the ratio of voltage amplitude to the maximum current.

Here, <em>V </em>is voltage amplitude and<em> I</em> maximum current.
A resistor with R = 300 Ω and an inductor are connected in series across an ac source that has voltage amplitude 490V. The rate at which electrical energy is dissipated in the resistor is 316 W.
The rate at which electrical energy is dissipated in the resistor is the product of the resistance and the square of current. Thus,

The impedance Z of the circuit is,

Thus, the value of impedance Z of the circuit, when the rate at which electrical energy is dissipated in the resistor is 316 w, is 508 ohms.
Learn more about the impedance Z of the circuit here:
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