<h2>
Answer:</h2><h2>
The acceleration of the meteoroid due to the gravitational force exerted by the planet = 12.12 m/![s^{2}](https://tex.z-dn.net/?f=s%5E%7B2%7D)
</h2>
Explanation:
A meteoroid is in a circular orbit 600 km above the surface of a distant planet.
Mass of the planet = mass of earth = 5.972 x
Kg
Radius of the earth = 90% of earth radius = 90% 6370 = 5733 km
The acceleration of the meteoroid due to the gravitational force exerted by the planet = ?
By formula, g = ![\frac{GM}{r^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7BGM%7D%7Br%5E%7B2%7D%20%7D)
where g is the acceleration due to the gravity
G is the universal gravitational constant = 6.67 x
![m^{3} kg^{-1} s^{-2}](https://tex.z-dn.net/?f=m%5E%7B3%7D%20kg%5E%7B-1%7D%20s%5E%7B-2%7D)
M is the mass of the planet
r is the radius of the planet
Substituting the values, we get
g = ![\frac{(6.67 * 10^{-11}) (5.972 * 10^{24}) }{5733^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%286.67%20%2A%2010%5E%7B-11%7D%29%20%285.972%20%2A%2010%5E%7B24%7D%29%20%20%7D%7B5733%5E%7B2%7D%20%7D)
g = 12.12 m/![s^{2}](https://tex.z-dn.net/?f=s%5E%7B2%7D)
The acceleration of the meteoroid due to the gravitational force exerted by the planet = 12.12 m/![s^{2}](https://tex.z-dn.net/?f=s%5E%7B2%7D)
Height of baby carriage from ground = 21m
Mass of carriage with baby = 1.5 kg
The carriage has potential energy by virtue of its height.
Potential energy = mgh = 1.5×10×21 = 315 J
Hence, potential energy of the carriage is 315 Joule.
<span>Acceleration is the rate of
change of the velocity of an object that is moving. This value is a result of
all the forces that is acting on an object which is described by Newton's
second law of motion. Calculations of such is straightforward, if we are given
the final velocity, the initial velocity and the total time interval. However, we are not given these values. We are only left by using the kinematic equation expressed as:
d = v0t + at^2/2
We cancel the term with v0 since it is initially at rest,
d = at^2/2
44 = a(6.2)^2/2
a = 2.3 m/s^2
</span>
Answer:
The equivalent stiffness of the string is 8.93 N/m.
Explanation:
Given that,
Spring stiffness is
![k_{1}=20\ N/m](https://tex.z-dn.net/?f=k_%7B1%7D%3D20%5C%20N%2Fm)
![k_{2}=30\ N/m](https://tex.z-dn.net/?f=k_%7B2%7D%3D30%5C%20N%2Fm)
![k_{3}=15\ N/m](https://tex.z-dn.net/?f=k_%7B3%7D%3D15%5C%20N%2Fm)
![k_{4}=20\ N/m](https://tex.z-dn.net/?f=k_%7B4%7D%3D20%5C%20N%2Fm)
![k_{5}=35\ N/m](https://tex.z-dn.net/?f=k_%7B5%7D%3D35%5C%20N%2Fm)
According to figure,
and
is in series
We need to calculate the equivalent
Using formula for series
![\dfrac{1}{k}=\dfrac{1}{k_{2}}+\dfrac{1}{k_{3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bk%7D%3D%5Cdfrac%7B1%7D%7Bk_%7B2%7D%7D%2B%5Cdfrac%7B1%7D%7Bk_%7B3%7D%7D)
![k=\dfrac{k_{2}k_{3}}{k_{2}+k_{3}}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7Bk_%7B2%7Dk_%7B3%7D%7D%7Bk_%7B2%7D%2Bk_%7B3%7D%7D)
Put the value into the formula
![k=\dfrac{30\times15}{30+15}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B30%5Ctimes15%7D%7B30%2B15%7D)
![k=10\ N/m](https://tex.z-dn.net/?f=k%3D10%5C%20N%2Fm)
k and
is in parallel
We need to calculate the k'
Using formula for parallel
![k'=k+k_{4}](https://tex.z-dn.net/?f=k%27%3Dk%2Bk_%7B4%7D)
Put the value into the formula
![k'=10+20](https://tex.z-dn.net/?f=k%27%3D10%2B20)
![k'=30\ N/m](https://tex.z-dn.net/?f=k%27%3D30%5C%20N%2Fm)
,k' and
is in series
We need to calculate the equivalent stiffness of the spring
Using formula for series
![k_{eq}=\dfrac{1}{k_{1}}+\dfrac{1}{k'}+\dfrac{1}{k_{5}}](https://tex.z-dn.net/?f=k_%7Beq%7D%3D%5Cdfrac%7B1%7D%7Bk_%7B1%7D%7D%2B%5Cdfrac%7B1%7D%7Bk%27%7D%2B%5Cdfrac%7B1%7D%7Bk_%7B5%7D%7D)
Put the value into the formula
![k_{eq}=\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{35}](https://tex.z-dn.net/?f=k_%7Beq%7D%3D%5Cdfrac%7B1%7D%7B20%7D%2B%5Cdfrac%7B1%7D%7B30%7D%2B%5Cdfrac%7B1%7D%7B35%7D)
![k_{eq}=8.93\ N/m](https://tex.z-dn.net/?f=k_%7Beq%7D%3D8.93%5C%20N%2Fm)
Hence, The equivalent stiffness of the string is 8.93 N/m.
Answer:
Yes, it is reckless. This is because it is the responsibility of the pilot to make sure that the direction of the propeller blast is away from people or other aircraft and in a safe direction.
Explanation:
Yes, it is reckless to let the propeller blast face people and other aircraft. This is because it is the responsibility of the pilot to make sure that the direction of the propeller blast is away from people or other aircraft and in a safe direction. People and other aircraft can be injured by the debris and the rocks that are scattered by the engine of the aircraft.