Answer:
Car B has a mass of 800 kg.
General Formulas and Concepts:
<u>Momentum</u>
Law of Conservation of Momentum:
Explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
[Given] m₁ = 1200 kg
[Given] v₁i = 10 m/s
[Solve] m₂
[Given] v₂i = 0 m/s
[Given] vf = 6 m/s
<u>Step 2: Solve for m₂</u>
- Substitute in variables [Law of Conservation of Momentum]: (1200 kg)(10 m/s) + m₂(0 m/s) = (1200 kg + m₂)(6 m/s)
- Multiply: 12000 kg · m/s = (1200 kg + m₂)(6 m/s)
- Isolate m₂ term: 2000 kg = 1200 kg + m₂
- Isolate m₂: 800 kg = m₂
Answer:
Answer is explained in the explanation section below.
Explanation:
Solution:
We know that the Electric field inside the thin hollow shell is zero, if there is no charge inside it.
So,
a) 0 < r < r1 :
We know that the Electric field inside the thin hollow shell is zero, if there is no charge inside it.
Hence, E = 0 for r < r1
b) r1 < r < r2:
Electric field =?
Let, us consider the Gaussian Surface,
E x 4 =
So,
Rearranging the above equation to get Electric field, we will get:
E =
Multiply and divide by
E = x
Rearranging the above equation, we will get Electric Field for r1 < r < r2:
E= (σ1 x ) /( x )
c) r > r2 :
Electric Field = ?
E x 4 =
Rearranging the above equation for E:
E =
E = +
As we know from above, that:
= (σ1 x ) /( x )
Then, Similarly,
= (σ2 x ) /( x )
So,
E = +
Replacing the above equations to get E:
E = (σ1 x ) /( x ) + (σ2 x ) /( x )
Now, for
d) Under what conditions, E = 0, for r > r2?
For r > r2, E =0 if
σ1 x = - σ2 x
When two point of a closed circuit is joined by a wire of zero resistance like if we connect the two terminals of cell by a wire of zero resistance then it is said that battery is short circuit.
similarly any two point of the circuit is said to be short circuit if the two points are connected by zero resistance wire.
so sudden large current will flow through the section which got short circuited
The answer is 30.
Explanation:
4m•(3)=12m
10•(3)=30
Work of a spring:
W = 0.5 × k × x²
k spring constant
x stretch of the spring
make sure to convert all quantities into the correct units before using the equation