Answer:
Speed of astronaut = 38.34 m/s
Explanation:
Centripetal acceleration is given by the expression, , where v is the velocity and r is the radius.
Here centripetal acceleration is given, radius is given, we need to find velocity.
Centripetal acceleration = 98 m/s²
Radius = 15 m.
We have,
Speed of astronaut = 38.34 m/s
Let us say that Cp is the specific heat of the metal object.
Then we do a heat balance (heat lost by metal = heat gained by water):
- 19g * Cp * (22degC – 96degC) = 75g * 4.184J/g degC * (22degC
– 18degC)
<span>Cp = 0.893 J/g degC</span>
<span>First the stone will move upward till reach maximum height, when it will start to go down till hit the ground. So to calculate the time going up, we can use equation:
Vf = Vi + a*t , where Vf is final speed, Vi is initial speed, a is acceleration and t is time
In this case a = -g = -9.81 m/s^2 because the stone goes against gravity attraction.
0 = 6.71 - 9.81*t => t = 6.71/9.81 = 0.68 seconds
And the distance upward will be:
d = Vi*t + 1/2*a*t^2 = 6.71*0.68 + 1/2*(-9.81)*0.68^2
d = 4.59-2.29 = 2.29 metres
Then the stone starts to go down till the ground, which is 18.9 + 2.29 metres below
and it takes, now a = g = 9.81 m/s2 because stone goes in the same direction than gravity atraction:
d = Vi*t + 1/2*a*t^2 => 0*t+1/2*9.81*t^2 => 21.19 = 4.905*t^2 => t = 2.08 seconds
So then the stone is on air 0.68 seconds going up and 2.08 going down, that is in total: 2.76 seconds</span>
Answer: λ = 4.23mm
t (time taken till bat hears echo) = 5.9ms
Explanation:
The velocity of sound waves at temperature T is given by
v = √yRT/M
Substituting the values we get
v = √(1.4) (8.314 J/mol K )(283 K)/(28.8x10^-3kg/mol)
=338.2 m/s
The wavelength is given by,
λ = v/n
λ = 338.2 m/s/80.0x10^3 Hz
= 4.23 x10^-3m
= 4.23 mm
The time taken is given by,
t=d/v
We will multiply d by factor 2 because of the reflection of waves.
= (2)(1m)/ 338.2 m/s
= 0.00591s
=5.9 ms
Answer:
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Explanation:
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