Answer:
Yes, when an apple falls towards the earth, the apple gets accelerated and comes down due to the gravitational force of attraction used by the earth. The apple also exerts an equal and opposite force on the earth but the earth does not move because the mass of the apple is very small, due to which the gravitational force produces a large acceleration in it (a = F/m) but the mass of the earth is very large, the same gravitational force produces very small acceleration in the earth and we don't see the earth rising towards the apple.
Given that,
Mass of each washer = 4.9 g
We need to calculate the mass of two washers in kg
Using conversion of unit
Mass of each washer ![m= 4.9\times10^{-3}\ Kg](https://tex.z-dn.net/?f=m%3D%204.9%5Ctimes10%5E%7B-3%7D%5C%20Kg)
So, Mass of two washers is
![M=2\times m](https://tex.z-dn.net/?f=M%3D2%5Ctimes%20m)
Put the value of m
![M=2\times4.9\times10^{-3}\ k](https://tex.z-dn.net/?f=M%3D2%5Ctimes4.9%5Ctimes10%5E%7B-3%7D%5C%20k)
![M=0.0098\ Kg](https://tex.z-dn.net/?f=M%3D0.0098%5C%20Kg)
If 4 washer are attached to the spring
We need to calculate the applied force on the car
Using formula of force
![F=mg](https://tex.z-dn.net/?f=F%3Dmg)
Put the value into the formula
![F=4\times4.9\times10^{-3}\times9.8](https://tex.z-dn.net/?f=F%3D4%5Ctimes4.9%5Ctimes10%5E%7B-3%7D%5Ctimes9.8)
![F=0.192\ N](https://tex.z-dn.net/?f=F%3D0.192%5C%20N)
Hence, (i), The mass of two washers is 0.0098 kg.
(ii). The applied force on the car is 0.192 N.
Answer:
a
![x_2 = -2.3356](https://tex.z-dn.net/?f=x_2%20%3D%20-2.3356)
b
![v = -1.384 \ m/s](https://tex.z-dn.net/?f=v%20%3D%20-1.384%20%5C%20m%2Fs)
Explanation:
From the question we are told that
The initial position of the particle is ![x_1 = 0.180 \ m](https://tex.z-dn.net/?f=x_1%20%3D%200.180%20%5C%20m)
The initial velocity of the particle is ![u = 0.060 \ m/s](https://tex.z-dn.net/?f=u%20%3D%200.060%20%20%5C%20%20m%2Fs)
The acceleration is ![a = -0.380 \ m/s^2](https://tex.z-dn.net/?f=a%20%3D%20-0.380%20%5C%20%20m%2Fs%5E2)
The time duration is ![t = 3.80 \ s](https://tex.z-dn.net/?f=t%20%3D%203.80%20%20%5C%20s)
Generally from kinematic equation
![v = u + at](https://tex.z-dn.net/?f=v%20%3D%20u%20%2B%20at)
=> ![v = 0.060 + (-0.380 * 3.80)](https://tex.z-dn.net/?f=v%20%3D%200.060%20%2B%20%28-0.380%20%2A%203.80%29)
=> ![v = -1.384 \ m/s](https://tex.z-dn.net/?f=v%20%3D%20-1.384%20%5C%20m%2Fs)
Generally from kinematic equation
![v^2 = u^2 + 2as](https://tex.z-dn.net/?f=v%5E2%20%3D%20u%5E2%20%2B%202as)
Here s is the distance covered by the particle, so
![(-1.384)^2 = (0.060)^2 + 2(-0.380)* s](https://tex.z-dn.net/?f=%28-1.384%29%5E2%20%3D%20%280.060%29%5E2%20%2B%202%28-0.380%29%2A%20s)
=> ![s = -2.5156 \ m](https://tex.z-dn.net/?f=s%20%3D%20-2.5156%20%5C%20m)
Generally the final position of the particle is
![x_2 = x_1 + s](https://tex.z-dn.net/?f=x_2%20%3D%20x_1%20%2B%20s)
=> ![x_2 = 0.180 + (-2.5156)](https://tex.z-dn.net/?f=x_2%20%3D%200.180%20%2B%20%28-2.5156%29)
=> ![x_2 = -2.3356](https://tex.z-dn.net/?f=x_2%20%3D%20-2.3356)
The insect's velocity is 0.2 meter/second along east.
<h3>What is velocity?</h3>
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
An insect crawls 4 m east along a hiking path.
Time taken by it: t = 20 seconds.
We have to fine: the insect's velocity, v =?
So, the magnitude of velocity: v= 4/20 meter/second = 0.2 meter/second.
And the direction velocity is along east.
Hence, the insect's velocity is 0.2 meter/second along east.
Learn more about velocity here:
brainly.com/question/18084516
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