To address this scenario, we apply the principle of momentum conservation. Given that momentum equals mass multiplied by velocity, we have:
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
where
v₁ and v₂ represent the initial velocities of carts A and B,
v₁' and v₂' denote the final velocities of the respective carts,
and m₁ and m₂ are their masses.
(7 kg)(0 m/s) + (3 kg)(0 m/s) = (7 kg)(v₁') + (3 kg)(6 m/s)
Solving for v₁', we find that
v₁' = -2.57 m/s
Consequently, cart A moves at 2.57 m/s in the opposite direction of cart B.
Answer:
The power increase is 4400 W.
Explanation:
Given data,
Power = 10 kW
Initial speed = 10 m/s
New speed = 12 m/s
The relevant equation is:

It's known that,
The expression for power is,

Substituting the value of F into the formula gives



Now we must determine the new power
By applying the power formula

Insert the value into the equation



Next, we calculate the change in power
Using the formula for power change

Insert values into the equation




Thus, the change in power amounts to 4400 W.
Answer:

Explanation:
Provided:
fiber diameter d= 18 μm
screen distance D= 30 cm
wavelength λ= 560 nm
from this, we can determine the fringe width

substituting the values yield


The responses would be:
C. Bubbles form
E. There is a change in color
For further details, feel free to explore:
While the chosen answers are indicative of chemical reactions, if you are solely referring to the chemical reaction in your example, these two answers represent the only options.
A chemical reaction occurs when reactants create a new substance. Indicators of a chemical reaction include alterations in smell, color, and temperature. At times, precipitates may develop.
1. f1 = Vs + Vbat Vs fO
2. f1 = Vs Vs - Vbat fO
3. f1 = Vs Vs + Vbat fO
4. f1 = Vs + Vbat Vs - Vbat fO
5. f1 = 2Vs Vs - Vbat fO
6. f1 = Vs - Vbat Vs fO
7. f1 = Vs - Vbat Vs + Vbat fO
8. f1 = fO
9. f1 = 2Vs Vs + Vbat fO
The frequency that is detected is
f= (V+Vr) × fO/ (V + Vs)
The speed of sound is V = Vs
The speed of the receiver is Vr = O
For the speed of the source
Vs = -Vbat, indicating that the bat approaches the wall
Therefore, the correct formula is
f1 = (Vs / (Vs -Vbat)) × fO.