Answer:
They will not stop at same elevation
for v=10m/2 => h=5.1m
for v=20m/2 => h=20.4m
Explanation:
If we neglect the effects of friction in the calculations the energy if the system must be conserved. The car energy can be described as a combination of kinetic energy and potential energy:
![E=K+P](https://tex.z-dn.net/?f=E%3DK%2BP)
The potential energy is due to the gravitational forces and can be describes as:
![P=g*h*m](https://tex.z-dn.net/?f=P%3Dg%2Ah%2Am)
Where g is the gravitation acceleration, m the mass of the car, and h the elevation. This elevation is a relative quantity and any point of reference will do the work, in this case we will consider the base of the hill as h=0.
The kinetic energy is related to the velocity of the car as:
![K=1/2*m*v^{2}](https://tex.z-dn.net/?f=K%3D1%2F2%2Am%2Av%5E%7B2%7D)
As the energy must be constant E will be always constant, replacing the expressions for kinetic and potenctial energy:
![E=1/2*m*v^{2}+g*h*m](https://tex.z-dn.net/?f=E%3D1%2F2%2Am%2Av%5E%7B2%7D%2Bg%2Ah%2Am)
In the base of the hill we have h=0:
![E_{base} =1/2*m*v^{2}](https://tex.z-dn.net/?f=E_%7Bbase%7D%20%3D1%2F2%2Am%2Av%5E%7B2%7D)
When the car stops moving we have v=0:
![E_{top} =g*h_{top}*m](https://tex.z-dn.net/?f=E_%7Btop%7D%20%3Dg%2Ah_%7Btop%7D%2Am)
This two must be equal:
![E_{base} =E_{top}](https://tex.z-dn.net/?f=E_%7Bbase%7D%20%3DE_%7Btop%7D)
![1/2*m*v^{2} =g*h_{top}*m](https://tex.z-dn.net/?f=1%2F2%2Am%2Av%5E%7B2%7D%20%3Dg%2Ah_%7Btop%7D%2Am)
solving for h:
![h_{top} =\frac{v^{2}}{2*g}](https://tex.z-dn.net/?f=h_%7Btop%7D%20%3D%5Cfrac%7Bv%5E%7B2%7D%7D%7B2%2Ag%7D)
Lets solve for the two cases:
for v=10m/2 => h=5.1m
for v=20m/2 => h=20.4m
As you can see, when the velocity is the double the height it reaches goes to four times the former one.
Answer:
a) a = 0
b) W = 29.72 N
Explanation:
a)The acceleration of an object is defined as the change of its speed with respect to a time interval, Because the briefcase remains at rest, its acceleration (a) is zero.
a=0
b) Calculation of the weight of the briefcase
The formula to calculate the weight is the following:
W= m*g Formula (1)
Where:
W : is the weight in Newtons (N)
m : is the mass in kilograms (kg)
g : is the acceleration due to gravity in meters over second square (m/s²)
Data
m=3.03 kg : mass of the briefcase
m=9.81 m/s² : acceleration due to gravity
We replace data in the formula (1)
W= m*g = 3.03 kg * 9.81 m/s²
W= 29.72 N
I’m guessing a coral reef becuase of all the different species of fish or a tropical rainforest if you look up what ecosystem contains the greatest species diversity you’ll find the answer :)
I would help, but I can't download the document