Answer:
a) v = 2.4125 m / s , b) Em_{f} / Em₀ = 0.89
Explanation:
a) This is an inelastic crash problem, the system is made up of the four carriages, so the forces during the crash are internal and the moment is conserved
Initial
p₀ = m v₁ + 3 m v₂
Final
= (4 m) v
p₀ =p_{f}
m (v₁ + 3 v₂) = 4 m v
v = (v₁ +3 v₂) / 4
Let's calculate
v = (3.86 + 3 1.93) / 4
v = 2.4125 m / s
b) the initial mechanical energy is
Em₀ = K₁ + 3 K₂
Em₀ = ½ m v₁² + ½ 3m v₂²
The final mechanical energy
= K
Em_{f} = ½ 4 m v²
The fraction of energy lost is
Em_{f} / Em₀ = ½ 4m v² / ½ m (v₁² +3 v₂²)
Em_{f} / Em₀ = 4 v₂ / (v₁² + 3 v₂²)
Em_{f} / Em₀ = 4 2.4125² / (3.86² + 3 1.93²)
Em_{f} / em₀ = 23.28 / 26.07
Em_{f} / Em₀ = 0.89
The correct formula for
this simple harmonic motion is:
x = (6.0) cos [ (3 pi) t +
pi/3 ]
A. Calculating for displacement
x at t = 2:
x =6.0 cos (19/3 pi)
x = 6 (0.5)
x = 3 m
<span>B. Velocity is equivalent
to the 1st derivative of the equation. v = dx / dt </span>
<span> Velocity v = dx/dt = -18 pi sin (3pi t + pi/3) </span>
v = - 18 pi sin (6pi +
pi/3)
v = 49.0 m/s
<span>C. Acceleration is the 2nd
derivative or the 1st derivative of velocity dv / dt</span>
Acceleration a = dv/dt = -54 pi^2 cos(3pi t + pi/3)
a = -54 pi^2 cos(3pi * 2 +
pi/3)
a = 386.34 m/s^2
D. Phase = pi/3
E. frequency f= 3pi/2pi =
1.5Hz
<span>F. period = 1/f = 1/1.5 = .6667sec </span>
The key difference between a bomb calorimeter and a coffee cup calorimeter is high temperature.
<h3>
What is bomb calorimeter?</h3>
A bomb calorimeter is an apparatus that can measure heats of combustion, used in various applications such as calculating the calorific value of foods and fuels.
<h3>What is coffee cup calorimeter?</h3>
A coffee cup calorimeter is a cup used to provide insulation when materials are mixed inside of it.
<h3>Difference between the two calorimeter</h3>
- The coffee cup calorimeter can't be used for high-temperature reactions, either, because they would melt the cup.
- A bomb calorimeter is used to measure heat flows for gases and high-temperature reactions
Learn more about calorimeter here: brainly.com/question/1407669
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Answer:
Velocity of electron will be 
Explanation:
We have given distance across the plate d = 2 mm 
Potential difference V = 6 volt
We know that potential difference at any distance is given by
V = Ed , here V is potential difference, E is electric field and d is distance
So 
Charge on electron 
We know that expression of velocity is given by 
, here q is charge on electron, E is electric field and d is distance
So 
Answer:
Explanation:
In the electric field pointing right , force on the electron will be towards left . Since charge is moving towards right so it is doing some work against the force . Hence its potential energy will increase. Whenever a work is done against a force , the work done is converted into potential energy in conservative field. Electric field is also a conservative field.
