What temperature, in ∘c, is a blackbody whose emission spectrum peaks at 250 nm ?
1 answer:
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Answer:
275 kPa
Explanation:
mass of the gas=m=1.5 kg
initial volume if the gas=V₁=0.04 m³
initial pressure of the gas= P₁=550 kPa
as the condition is given final volume is double the initial volume
V₂=final volume
V₂=2 V₁
As the temperature is constant
T₁=T₂=T
=
putting the values in the equation.
=
P₂=
P₂=
P₂=275 kPa
So the final pressure of the gas is 275 kPa.
a) The speed of the student after the jump is 1.07 m/s
b) The final speed of the laser is 10.4 m/s
Explanation:
a)
We can solve this problem by applying the law of conservation of momentum: if there are no external forces acting on the system, the total momentum of the student+Laser system must be constant. Therefore, we can write:
where
The initial momentum is zero
m = 42 kg is the mass of the Laser
v = 1.5 m/s is the final velocity of the Laser
M = 59 kg is the mass of the student
V is the final velocity of the student
Solving the equation for V, we find the velocity of the student:
So, the final speed of the student is 1.07 m/s.
b)
In this case, the laser and the student are travelling at 3.1 m/s before the student jumps off: therefore, the total momentum before the jump is not zero.
So, the equation of the conservation of momentum is
where
m = 42 kg is the mass of the Laser
M = 59 kg is the student's mass
u = 3.1 m/s is the initial velocity of the student and the Laser
V = -2.1 m/s is the velocity of the student after the jump (she jumps backward)
v is the final velocity of the Laser
And solving for v, we find
Learn more about momentum:
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Answer:
The astronaut who has a mass of 80 kg without the toolkit do survive with 40 seconds of remaining air
Explanation:
Due the astronaut throws the 10-kg tool kit away with a speed of 8 m/s, it gives a momentum equivalent but in the other direction, so , then we can find the speed that the astronaut reaches due to its weight we get,
.
Finally, as the distance to the space shuttle is 200m, the time taken to the astronaut to reach it at the given speed will be , as the remaining air time is 4 min or 240 seconds, The astronaut who has a mass of 80 kg without the toolkit do survive with 40 seconds of remaining air.