Answer:
Explanation:
There will be conservation of momentum along horizontal plane because no force acts along horizontal plane.
momentum of first piece = .320 kg x 2 m/s
= 0.64 kg m/s along x -axis.
momentum of second piece = .355 kg x 1.5 m/s
= 0.5325 kg m/s along y- axis .
Let the velocity of third piece be v and it is making angle of θ with x -axis .
Horizontal component of its velocity = .100 kg x v cosθ = .1 v cosθ
vertical component of its velocity = .100 kg x v sinθ = .1 v sinθ
For making total momentum in the plane zero
.1 v cosθ = 0.64 kg m/s
.1 v sinθ = 0.5325 kg m/s
Dividing
Tanθ = .5325 / .64 = .83
θ = 40⁰.
The angle will be actually 180 + 40 = 220 ⁰ from positive x -axis.
Every person is different. But for a planet-wide overall average that roughly represents all human beings on Earth, the figures usually used are:
from 20 Hz to 20,000 Hz .
Answer:
23.3 g/cm3
Explanation:
First of all, this should be in the math section. I just so happen to also be good at math. Cheers!
Answer:
The polytropic exponent (n) is 1.2
The amount of energy transfer by work is 552.45 Btu
Explanation:
P1V1^n = P2V2^n
P1 = 75 lbf/in^2 = 75 lbf/in^2 × 143.3 in^2/ft^2 = 10,747.5 lbf/ft^2
V1 = 4 ft^3/lb × 10 lb = 40 ft^3
P2 = 20 lbf/in^2 = 20 × 143.3 = 2866 lbf/ft^2
V2 = 12 ft^3/lb × 10 lb = 120 ft^3
(V2/V1)^n = P1/P2
(120/40)^n = 10747.5/2866
3^n = 3.75
ln 3^n = ln 3.75
n ln 3 = ln 3.75
n = ln 3.75/ln 3 = 1.2
W = (P2V2 - P1V1)/1 - n = (2866×120 - 10747.5×40)/1-1.2 = (343,920 - 429,900)/-0.2 = -85,980/-0.2 = 429,900 lbf.ft = 429,900/778.17 Btu = 552.45 Btu
