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AnnyKZ [126]
3 years ago
13

A mass–spring system moves with simple harmonic motion along the x axis between turning points at x = 10x=10 cm and x_2 = 30x ​2

​​ =30 cm.

Physics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

(I) The momentum of the system is greatest at the point midway between the points X1 and X2; that is X = 20cm. This is because the velocity is maximum at this point. This point is the equilibrium point of the system.

(II) The Kinetic energy of the system is also great at the point midway between the points X1 and X2; X = 20cm

(III) The total energy is greatest at multiple points.

Explanation:

The velocity is greatest at the equilibrium position of the system because the forces responsible for the to and fro movement of the system cancel out of balance up at this point. At any point where there is no net force acting, the acceleration is zero. So at this point the velocity of the body is not changing and has a maximum value. As a result the momentum and kinetic energy of the system will be maximum here too since moment = mv and kinetic energy = ½MV²

The total energy is always the sum of the kinetic and potential energy and at various points the values of the potential and kinetic energies vary from zero to maximum but the total energy is always constant. A simple diagramatic illustration will help to understand this concept. Check the attachment below.

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pashok25 [27]
A) initial volume
We can calculate the initial volume of the gas by using the ideal gas law:
p_i V_i = nRT_i
where
p_i=1.0 atm=1.01 \cdot 10^5 Pa is the initial pressure of the gas
V_i is the initial volume of the gas
n=2.3 mol is the number of moles
R=8.31 J/K mol is the gas constant
T_i=240^{\circ}C=513 K is the initial temperature of the gas

By re-arranging this equation, we can find V_i:
V_i =  \frac{nRT_i}{p_i} = \frac{(2.3 mol)(8.31 J/mol K)(513 K)}{1.01 \cdot 10^5 Pa}=0.097 m^3

2) Now the gas cools down to a temperature of
T_f = 14^{\circ}C=287 K
while the pressure is kept constant: p_f = p_i = 1.01 \cdot 10^5 Pa, so we can use again the ideal gas law to find the new volume of the gas
V_f =  \frac{nRT_f}{p_f}= \frac{(2.3 mol)(8.31 J/molK)(287 K)}{1.01 \cdot 10^5 Pa} = 0.054 m^3

3) In a process at constant pressure, the work done by the gas is equal to the product between the pressure and the difference of volume:
W=p \Delta V= p(V_f -V_i)
by using the data we found at point 1) and 2), we find
W=p(V_f -V_i)=(1.01 \cdot 10^5 Pa)(0.054 m^3-0.097 m^3)=-4343 J
where the negative sign means the work is done by the surrounding on the gas.
5 0
3 years ago
How fast much an 816kg Volkswagen travel to have the same momentum as (a) a 2650kg Cadillac going 16.0 km/h? (b) a 9080-kg truck
Katyanochek1 [597]

Answer:

Explanation:

From the given information:

the car's momentum = momentum of the truck

∴

(a) 816 kg × v = 2650 kg × 16.0 km/h

v = (2650 kg × 16.0 km/h) /  816 kg

v = 51.96 km/hr

(b) 816 kg × v = 9080 kg × 16.0 km/h

v = (9080 kg × 16.0 km/h) /  816 kg

v = 178.04 km/hr

8 0
3 years ago
As a capacitor is being charged in an RC circuit. the current flowing through a resistor isa) increasingb) decreasingc) constant
Montano1993 [528]
<h2>Answer: decreasing</h2>

An RC circuit is an electrical circuit composed of resistors and capacitors, where the charging time T of the circuit is proportional to the magnitude of the electrical resistance R and the capacity C of the capacitor.  

As shown below:

T=R.C

In this context, the electrical resistance is the opposition to the flow of electrons when moving through a conductor.

Therefore:

<h2>When a capacitor is being charged in an RC circuit, the current flowing through a resistor <u>decreases</u>.</h2>

And the correct option is b.

4 0
3 years ago
Which sound wave-object interaction is used by animals in echolocation?
tekilochka [14]
The answer is reflection
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3 years ago
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A 0.43 kg hammer is moving horizontally at 5.2 m/s when it strikes a nail and comes to rest after driving the nail 0.014 m into
vagabundo [1.1K]

Answer:

The duration of the impact is 0.005384 seconds

Explanation:

Given

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