Answer:
5.70 m
Explanation:
3sₐ + sB = L
3∆sₐ = - ∆sB
3vₐ = -vB
3*3 = -vB
vB = -9 ms⁻²
T₁ + V₁ = T₂ + V₂
(0 + 0) + (0 + 0) = 1/2(20)(3)² + 1/2(30)(-9)² + 20*9.81*(sB/3) + 30*9.81* sB
0 = 90 + 1215 - 228.9sB
-1305 = - 228.9sB
sB = 1305/228.9 = 5.70 m
Answer:
10.41 kg
Explanation:
The gas state equation is:
p * V = n * R * T
For this equation we need every value to be in consistent units
1.5 bar = 150 kPa
5 C = 278 K
n = p * V / (R * T)
n = 150000 * 10 / (8.31 * 278) = 649 mol
Multiplying the amount of moles by the molecular weight of the gas we obtain the mass:
m = M * mol
m = 16.04 * 649 = 10410 g = 10.41 kg
Answer:
Blowing on it will cool it down.
Explanation:
Air blown from peoples lungs is faster because of the small temperature difference with the hot baked potato.
Answer:
116 ft/s
Explanation:
D = 0.10x² – 3.00x + 22.0
1019.50 = 0.10x² – 3.00x + 22.0
0 = 0.10x² – 3.00x – 997.5
0 = x² – 30x – 9975
Solve with quadratic formula:
x = [ -(-30) ± √((-30)² − 4(1)(-9975)) ] / 2(1)
x = [ 30 ± √(900 + 39900) ] / 2
x = (30 ± 20√102) / 2
x = 15 ± 10√102
x ≈ 116