Hi there!
We can calculate linear momentum using the following:
p = linear momentum (kgm/s)
m = mass (kg)
v = velocity (m/s)
Calculate:
Now, we can relate force, time, and momentum with the following:
I = Impulse (kgm/s)
F = Force (N)
t = time (s)
Rearrange to solve for force:
The impulse is equal to the change in momentum. Since the car comes to a halt, all of its momentum is lost, so:
Solve:
**Negative force since the positive direction is towards the wall, and the negative direction is away from the wall.
The concept required to solve this problem is hydrostatic pressure. From the theory and assuming that the density of water on that planet is equal to that of the earth we can mathematically define the pressure as
Where,
= Density
h = Height
g = Gravitational acceleration
Rearranging the equation based on gravity
The mathematical problem gives us values such as:
Replacing we have,
Therefore the gravitational acceleration on the planet's surface is
Answer:
v to the right.
Explanation:
<u>If there is no external force on the system, then the velocity of the center of mass is </u><u>constant</u><u>. </u>
The initial velocity of center of mass is v to the right. Therefore, the velocity of the center of mass at any point is v to the right.
Digital signal is what changes original sounds into numbers
Answer:
(a): Linear charge density of the circular arc =
(b): Surface charge density of the circular arc =
(c): Volume charge density of the sphere =
Explanation:
<h2><u>
Part (a):</u></h2>
<u>Given:</u>
- Total charge on the circular arc,
- Radius of the circular arc,
- Angle subtended by the circular arc,
We know, e is the elementary charge whose value is
Therefore,
Also, the length l of a circular arc is given as:
The linear charge density of the arc is defined as the charge per unit length of the arc.
<h2><u>
Part (b):</u></h2>
<u>Given:</u>
- Total charge on the circular disc,
- Radius of the circular disc,
Surface area of the circular disc,
The surface charge density of the disc is defined as the charge per unit area of the disc.
<h2><u>
Part (c):</u></h2>
<u>Given:</u>
- Total charge on the sphere,
- Radius of the sphere,
Volume of the sphere,
The volume charge density of the sphere is defined as the charge per unit volume of the sphere.