The final common speed of the two carts will be 69.3 m/sec.The momentum conservation principle is applied.
<h3>What is the law of conservation of momentum?</h3>
According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
Unit conversion:
1 metric tons = 1000 kg
Given data;
m₁= 11.6 metric ton =11600 kg
m₂ = 23.2 metric ton = 23200 kg
Let v represent the combined velocity of the two carts once they are connected, and let u represent the starting velocity of cart 1 when it reaches the bottom.
Considering energy conservation;

From the conservation of momentum principle;

Hence, the final common speed of the two carts will be 69.3 m/sec.
To learn more about the law of conservation of momentum refer;
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The Density Calculator uses the formula p=m/V, or density (p) is equal to mass (m) divided by volume (V). The calculator can use any two of the values to calculate the third. Density is defined as mass per unit volume.
question answered by
(jacemorris04)
<span>So when the charged insulator is placed near the uncharged metallic thing they both attract each other because there will be a distribution of charge between the insulator and uncharged object. This migration of charges happens regardless of their charge positive or negative.</span>
Answer:
Explanation:
The pressure of the gas can be found out as follows
Gas law formula is as follows
PV = nRT
P = nRT / V
= 32.4 X 8.31 X ( 273 + 459.38 ) / 51 X 10⁻⁶
3866.45 X 10⁶ Pa.
The first change is isobaric therefore
V₁ / T₁ = V₂ / T₂
V₂ = V₁ X T₂/ T₁
= 51 X 10⁻⁶ X ( 855.6 +273) / (459.38 +273)
= 78 X 10⁻⁶
78 cm³
After the first operation , the pressure of the gas remains at
= 3866.45 X 10⁶ Pa.
Now volume of the gas changes from 78 cm³ to 25.3 cm³ isothermally so
P₁V₁ = P₂V₂
P₂ = P₁V₁ / V₂
= 3866.45 X 10⁶ X 78 / 25.3
= 11920 X 10⁶ . Pa
Answer:
22.2 seconds
Explanation:
recall that for a regular wave
v = fλ
where v = wave velocity (we need to find this to solve the next part)
f = frequency = 4.5 Hz
λ = wavelength = 2.0m
Substituting these into the equation above,
v = fλ
v = (4.5)(2)
v = 9.0m/s
Also recall that Distance travelled = velocity x time
in our case, we found velocity above (= 9.0 m/s) and the distance across the harbor is given as 200m, hence
Distance travelled = velocity x time
200 = 9.0 x time
time = 200/9.0
time = 22.2 seconds