Answer:
The amount of work that must be done to compress the gas 11 times less than its initial pressure is 909.091 J
Explanation:
The given variables are
Work done = 550 J
Volume change = V₂ - V₁ = -0.5V₁
Thus the product of pressure and volume change = work done by gas, thus
P × -0.5V₁ = 500 J
Hence -PV₁ = 1000 J
also P₁/V₁ = P₂/V₂ but V₂ = 0.5V₁ Therefore P₁/V₁ = P₂/0.5V₁ or P₁ = 2P₂
Also to compress the gas by a factor of 11 we have
P (V₂ - V₁) = P×(V₁/11 -V₁) = P(11V₁ - V₁)/11 = P×-10V₁/11 = -PV₁×10/11 = 1000 J ×10/11 = 909.091 J of work
Answer:
The higher the altitude the colder
Explanation:
Mountains are very high up obviously higher then the ground. It is colder so it makes it easier for mountain climbers to get frost bite because of the high altitude.
Hope this helps:)
Answer:
(B) L=W; F=D
Explanation:
Since the airplane's velocity is constant, the airplane is not accelerating in any direction. In absence of acceleration, all forces acting on the plane are balanced so that the net forces in the horizontal and the vertical directions are zero. Given the drawing, this implies that
Forward force = Drag force (F=D)
Weight = Lift (W=L)
which corresponds to option (B)
(it is not C because nothing in the text says that the vertical and horizontal components have to have same magnitude)
The volume of the sphere is given by V = 4/3 * pie * r^3. We seek dr/dt that the rate of change of the radius with respect to time.
V = 4/3 * pie * r^3
Since we know the rate at which the volume changes wrt time. We can plug it in to find dr/dt.
dV/dt = 36pie. But dV/dt = 4/3 * pie * 3r^2 * dr/dt
So we have that dr/dt = (dV/dt) / 4/3 * pie * 3r^2
So dr/dt = (36pie)/ 4/3 * pie * 3(4)^2
dr/dt = 113.112/ 201.0864 = 0.5624
To find the Kinetic energy this is the equation
KE=1/2mv^2
so we know the mass (m) which is 8kg
we also know the velocity (v) which is 10 m/s
so we plug that into the equation and it should look like this - 1/2(8kg)(10m/s)^2 now we solve
so 1/2 x 8 = 4 so then we just do (4)(10)^2 which gets us 400.
Since kinetic=Joules
The answer is 400 J
