To solve this problem it is necessary to apply the concept related to root mean square velocity, which can be expressed as
Where,
T = Temperature
R = Gas ideal constant
n = Number of moles in grams.
Our values are given as
The temperature is
Therefore the root mean square velocity would be
The fraction of velocity then can be calculated between the escape velocity and the root mean square velocity
Therefore the fraction of the scape velocity on the earth for molecula hydrogen is 0.1736
Answer:
1. 75N
2. 67,983 J (=67.98 kJ)
Explanation:
1. Work = Force x Distance
we are given that Work = 1,500J and Distance = 20m
hence,
Work = Force x Distance
1,500 = Force x 20
Force = 1,500 ÷ 20 = 75N
2. Potential Energy, PE = mass x gravity x change in height
we are given that mass = 165 kg and change in height = 42m
assuming that gravity, g = 9.81 m/s²
Potential Energy, PE = mass x gravity x change in height
Potential Energy, PE = 165 x 9.81 x 42 = 67,983 J (=67.98 kJ)
The muzzle speed is 144 m/s.
Let x = the angle of elevation.
Then
u = 144 cos(x), the horizontal velocity
v = 144 sin(x), the vertical launch velocity
Assume no air resistance, and g = 9.8 m/s².
To hit the target 780 m away, the time of flight is
t = (780 m)/[144 cos(x)] = 5.4167 sec(x) s
In terms of the vertical velocity,
(144 sin(x) m/s)*(5.4167 sec(x) s) + (1/2)*(-9.8 m/s²)*(5.4167 sec(x) m/s)² = (780 m)
780 tan(x) - 143.769 sec²x = 780
tan(x) - 0.1843 (1 + tan²x) = 1
0.1843 tan²(x) - tan(x) + 1.1843 = 0
tan²x - 5.4259 tan(x) + 6.4259 = 0
Solve with the quadratic formula.
tan(x) = 0.5[5.4259 +/- √(3.737)] = 3.6795 or 1.7464
x = tan⁻¹ 3.6795 = 74.8°
or
x = tan⁻¹ 1.7464 = 60.2°
Answer: (74.8°, 60.2°)
C. Photosynthesis only occurs in plants. It's their way of gaining the nutrients it needs.
Hope this helped, Tiara
Answer:
959183.7 kg
Explanation:
from the question we have :
young modulus = 5 x 10^{9} N/m^{2}
strain = 2% = 2÷100 = 0.02
diameter = 0.03 m
radius = 0.015 m
acceleration due to gravity (g) = 9.8 m/s^{2}
we can get the mass from the formula below
young modulus = stress ÷ strain
where
stress = \frac[force}{area} = \frac {mass x g}{area}
area = 2πr = 2π x 0.015 = 0.094
therefore
young modulus = \frac{\frac {mass x g}{area}}{strain}
5 x 10^{9} = \frac{\frac {mass x 9.8}{0.094}}{0.02}
mass = \frac{5 x 10^{9} x 0.02 x 0.094}{9.8}
mass = 959183.7 kg