Answer:
A. The sum of all the forces acting on an object.
Answer:
60,000 kgm/s
Explanation:
momentum equation,
momentum = mass × velocity.
mass = 2000kg
velocity = 30m/s
when multipled you get = 60,000 kgm/s
hope it helps. :)
The component of weight(
mg) that is responsible for the motion of boxes on ramp is:
![m*g*sin \alpha](https://tex.z-dn.net/?f=m%2Ag%2Asin%20%5Calpha%20)
Where m = mass of the boxes.
g = Acceleration due to gravity = 9.8
![m/s ^{2}](https://tex.z-dn.net/?f=m%2Fs%20%5E%7B2%7D%20)
![\alpha](https://tex.z-dn.net/?f=%20%5Calpha%20)
= The angle the ramp makes with the ground. In this case it is 30°.
Since the frictional force is:
![F_{f} =](https://tex.z-dn.net/?f=F_%7Bf%7D%20%3D%20)
μ*N.
Where,
μ = Frictional Coefficient
N = Normal to the ramp =
![m*g*cos\alpha](https://tex.z-dn.net/?f=%20m%2Ag%2Acos%5Calpha%20)
Therefore, the frictional force becomes =
![F_{f}](https://tex.z-dn.net/?f=F_%7Bf%7D)
= μ*
![m*g* cos \alpha](https://tex.z-dn.net/?f=m%2Ag%2A%20cos%20%5Calpha%20)
Apply Newton's second law we would get:
![m*g*sin \alpha](https://tex.z-dn.net/?f=m%2Ag%2Asin%20%5Calpha%20)
- μ*
![m*g* cos \alpha](https://tex.z-dn.net/?f=m%2Ag%2A%20cos%20%5Calpha%20)
=
![m*a](https://tex.z-dn.net/?f=m%2Aa)
=>
![a](https://tex.z-dn.net/?f=a)
=
![g*(sin \alpha -](https://tex.z-dn.net/?f=g%2A%28sin%20%5Calpha%20%20-%20)
μ
![cos \alpha )](https://tex.z-dn.net/?f=cos%20%5Calpha%20%29)
-- (A)
Now according to equation of motion:
![x = x_{o} + v_{o}*t + 1/2 * a * t^{2}](https://tex.z-dn.net/?f=x%20%3D%20x_%7Bo%7D%20%2B%20v_%7Bo%7D%2At%20%2B%201%2F2%20%2A%20a%20%2A%20%20t%5E%7B2%7D%20)
Where x = 5.8m
![x_{o}](https://tex.z-dn.net/?f=x_%7Bo%7D)
= 0
![v_{o}](https://tex.z-dn.net/?f=v_%7Bo%7D)
= 0
![t^{2}](https://tex.z-dn.net/?f=t%5E%7B2%7D)
= 10.24
Plug in the value in the above equation you would get:
![a](https://tex.z-dn.net/?f=a)
= 1.1328
![m/s ^{2}](https://tex.z-dn.net/?f=m%2Fs%20%5E%7B2%7D%20)
Plug in
![a](https://tex.z-dn.net/?f=a)
in equation (A) and solve for
μ, you would get,
μ = 0.4439
Velocity is both speed and direction