Answer:
0.44807175m
Explanation:
k = Spring constant = (Assumed, as it is not given)
g = Acceleration due to gravity = 9.81 m/s²
Total mass is
The total weight will balance the spring force
The springs are compressed by 0.44807175m
The gauge pressure for the air in a balloon equals 1.01 x 10^5 Pa. If atmospheric pressure is equal to 1.01 x 10^5 Pa, what is t
2 answers:
<h2>Answer:</h2>
D. 2.02 x Pa
<h2>Explanation:</h2>
The gauge pressure is the pressure measured relative to the atmospheric pressure.
Absolute pressure (or total pressure), is the sum of the gauge pressure and the atmospheric pressure. i.e
=
+
Where;
= absolute pressure
= gauge pressure = 1.01 x
Pa (from the question)
= atmospheric pressure = 1.01 x
Pa
Substitute these values into the equation above;
=
+
= 1.01 x
+ 1.01 x
= 2.02 x
Pa
Therefore, the absolute pressure of the air inside the balloon is 2.02 x Pa
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The speed of the wave in the string is 83.4 m/s
Explanation:
For a standing wave in a string, the speed of the wave is given by the equation:
where
L is the length of the string
T is the tension in the string
m is the mass of the string
In this problem, we have:
L = 0.72 m
m = 4.2 g = 0.0042 kg
T = 84.1 N
Solving the equation, we find the speed of the wave:
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Height of the waterfall is 0.449 m
its horizontal distance will be 2.1 m
now let say his speed is v with which he jumped out so here the two components of his velocity will be
here the acceleration due to gravity is 9.81 m/s^2 downwards
now we can find the time to reach the other end by y direction displacement equation
also from x direction we can say
now we have
we will plug in this value into first equation
now as we know that
t = 0.63 s
so his minimum speed of jump is 4.1 m/s