Given:
The initial volume of the gas, V₁=3200 ml=3.2×10⁻³ m³
The initial pressure of the gas, P₁=122 kPa
The initial temperature of the gas, T₁=27 °C=300 K
The final temperature, T₂=65 °C=338 K
The final pressure, P₂=112 kPa
To find:
The final volume of xenon gas.
Explanation:
From the combined gas law,
Where V₂ is the volume after it is heated.
On rearranging the above equation,
On substituting the known values,
Final answer:
The volume of the balloon when it is heated is 3.61 m³
Answer:
73.67 m
Explanation:
If projected straight up, we can work in 1 dimension, and we can use the following kinematic equations:
,
Where its our initial height,
our initial speed, a the acceleration and t the time that has passed.
For our problem, the initial height its 0 meters, our initial speed its 38.0 m/s, the acceleration its the gravitational one ( g = 9.8 m/s^2), and the time its uknown.
We can plug this values in our equations, to obtain:
note that the acceleration point downwards, hence the minus sign.
Now, in the highest point, velocity must be zero, so, we can grab our second equation, and write:
and obtain:
Plugin this time on our first equation we find:
Answer:
v = 0.999981c m/s
Explanation:
Using the time dilation equation
T = stationary time = 100 years
T₀ = 11/12 years = 0.917 years
v = speed of travel in the space = ?
c = speed of light = 3 * 10⁸ m/s
v = 299987395.57 m/s
v = 2.99 * 10⁸ m/s
v = 0.999981c m/s