Lift force exerted by the air on the rotors=143244 N
Explanation:
we use Newtons second law
F- (M+m)g=(M+m)a
F= lift force
m= mass of helicopter= 13000 Kg
M= mass of car= 2000 lb=907.2 kg
a= acceleration= 0.5 m/s²
g= acceleration due to gravity
F- (M+m)g=(M+m)a
F=(M+m)(a+g)
F=(13000+907.2)(0.5+9.8)
F=143244 N
Answer:
(a) A = m/s^3, B = m/s.
(b) dx/dt = m/s.
Explanation:
(a)
![x = At^3 + Bt\\m = As^3 + Bs\\m = (\frac{m}{s^3})s^3 + (\frac{m}{s})s](https://tex.z-dn.net/?f=x%20%3D%20At%5E3%20%2B%20Bt%5C%5Cm%20%3D%20As%5E3%20%2B%20Bs%5C%5Cm%20%3D%20%28%5Cfrac%7Bm%7D%7Bs%5E3%7D%29s%5E3%20%2B%20%28%5Cfrac%7Bm%7D%7Bs%7D%29s)
Therefore, the dimension of A is m/s^3, and of B is m/s in order to satisfy the above equation.
(b) ![\frac{dx}{dt} = 3At^2 + B = 3(\frac{m}{s^3})s^2 + \frac{m}{s} = m/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%203At%5E2%20%2B%20B%20%3D%203%28%5Cfrac%7Bm%7D%7Bs%5E3%7D%29s%5E2%20%2B%20%5Cfrac%7Bm%7D%7Bs%7D%20%3D%20m%2Fs)
This makes sense, because the position function has a unit of 'm'. The derivative of the position function is velocity, and its unit is m/s.
Sam and Sally are traveling aboard a spacecraft that approaches the asteroid Ceres within 14,000 kilometers. Sally will experience 1.989 × 10⁻¹¹ N of force.
<h3>What is the gravitational force?</h3>
Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.
The gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.
Given data
Mass of asteroid ,m₁ = 8.7 1020 kg
Mass of sally,m₂ = 67 kg
Gravitational constant,G = 6.6 × 10⁻¹¹ kg⁻² m²
Distance of seperation,R = 14,000 km
![\rm F = G\frac{m_1m_2}{R^ 2} \\\\ F = 6.6 \times 10^{-11 }\times \frac{8.71020 \times 67 }{(14,000)^2} \\\\F = 1.989 \times 10^{-11 } \ N](https://tex.z-dn.net/?f=%5Crm%20F%20%3D%20G%5Cfrac%7Bm_1m_2%7D%7BR%5E%202%7D%20%5C%5C%5C%5C%20F%20%3D%206.6%20%5Ctimes%2010%5E%7B-11%20%7D%5Ctimes%20%5Cfrac%7B8.71020%20%20%5Ctimes%2067%20%7D%7B%2814%2C000%29%5E2%7D%20%20%5C%5C%5C%5CF%20%3D%20%201.989%20%5Ctimes%2010%5E%7B-11%20%7D%20%5C%20N)
Hence, the force Sally experiences will be 1.989 × 10⁻¹¹ N.
To learn more about the gravitational force, refer to the link;
brainly.com/question/24783651
#SPJ1
Answer:
6.6 atm
Explanation:
Using the general gas law
P₁V₁/T₁ = P₂V₂/T₂
Let P₂ be the new pressure
So, P₂ = P₁V₁T₂/V₂T₁
Since V₂ = 2V₁ , P₁ = 12 atm and T₁ = 273 + t where t = temperature in Celsius
T₂ = 273 + 2t (since its Celsius temperature doubles).
Substituting these values into the equation for P₂, we have
P₂ = P₁V₁(273 + 2t)/2V₁(273 + t)
P₂ = 12(273 + 2t)/[2(273 + t)]
P₂ = 6(273 + 2t)/(273 + t)]
assume t = 30 °C on a comfortable spring day
P₂ = 6(273 + 2(30))/(273 + 30)]
P₂ = 6(273 + 60))/(273 + 30)]
P₂ = 6(333))/(303)]
P₂ = 6.6 atm
Explanation:
The speed of light is 300,000,000 m/s. There are 8 zeros, so in scientific notation, the speed is 3×10⁸ m/s.