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inessss [21]
3 years ago
14

Under many conditions, the center of mass of a system of particles can represent the system as a whole. But how far does this ru

le extend?
Consider two identical particles traveling toward each other at the same speed. By examining this system, choose the correct response.

a. The momentum and kinetic energy of the center of mass is equivalent to that of the system of particles.
b. The kinetic energy, but not the momentum, of the center of mass is equivalent to that of the system of particles.
c. Neither the momentum nor the kinetic energy of the center of mass is equivalent to that of the system of particles.
d. The momentum, but not the kinetic energy, of the center of mass is equivalent to that of the system of particles.
Physics
2 answers:
guajiro [1.7K]3 years ago
4 0

Answer:

d. The momentum, but not the kinetic energy, of the center of mass is equivalent to that of the system of particles.

Explanation:

The center of mass is equal to:

x_{cm} =\frac{m_{1}x_{1}+m_{2}x_{2}}{m_{1}+m_{2} } (eq. 1)

The total mass is:

mtotal = m₁ + m₂

Replacing:

x_{cm} =\frac{m_{1}x_{1}+m_{2}x_{2}}{m_{total}  }\\x_{cm}*{m_{total} ={m_{1}x_{1}+m_{2}x_{2}} } (eq. 2)

Differentiate respect to time is:

\frac{d}{dt} x_{cm} m_{total} =\frac{d}{dt} m_{1} x_{1} +m_{2} x_{2}\\m_{total}v_{cm} =m_{1} v_{1}+m_{2} v_{2}

The momentum is:

P_{cm} =m_{total} v_{cm} =m_{1} v_{1}+m_{2} v_{2}

Differentiate the equation 1 respect to time is:

\frac{d}{dt} x_{cm} =\frac{d}{dt} \frac{m_{1}x_{1}+m_{2}x_{2}}{m_{total} }\\v_{cm} =\frac{1}{m_{total} } {m_{1}v_{1}+m_{2}v_{2}} }

The kinetic energy is:

E_{k} =\frac{1}{2} m_{total} v_{cm} ^{2} =\frac{1}{2m_{total} } (m_{1}v_{1}  -m_{2}v_{2})^{2}

Observing equations 1 and 2, it can be seen that the kinetic energy of the center of mass is not equal to that of the particle system.

WARRIOR [948]3 years ago
3 0

Answer:

The correct answer is a

Explanation:

The concept of center of mass strongly simplifies the analysis of problems, since all the external bridging forces = denote the point of the center ce plus.

                 xcm = 1 / M ∑xi mi

                 v cm = 1 / M ∑ xi vi

When we do this, the momentum and the kinetic energy are conserved, that is, it is equivalent to the movement of the particle system

The correct answer is a

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Sallys physical education teacher timed her run and recorded the time and distance in the table below. What is her average speed
Fudgin [204]
Answer: B) 2.5 m/s

Explanation: Find the average of the time and distance, and see how far they go in only 1 second.


1 + 2 + 3 + 4 + 5 = 15
15 divided by 5 = 3

3 seconds

2 + 5 + 7 + 10 + 12 = 36
36 divided by 5 = 7.2


7.2m per 3 seconds.

7.2 divided by 3 = 2.4

Therefore, the answer is technically 2.4m/s
4 0
3 years ago
What is the momentum of an object that is moving in a straight line at a speed of 10 m/s and has a mass of 10 kilograms?
Aleksandr-060686 [28]
The momentum of an object is given by the product between its mass and its velocity:
p=mv
where m is the mass and v the velocity.

For the object in our problem, m=10 kg and v=10 m/s, therefore its momentum is
p=mv=(10 kg)(10 m/s)=100 kg m/s
So, the correct answer is B).
8 0
3 years ago
1| Page
andreev551 [17]

Answer:

Polarization occurs when an electric field distorts the negative cloud of electrons around positive atomic nuclei in a direction opposite the field. Polarization P in its quantitative meaning is the amount of dipole moment p per unit volume V of a polarized material, P = p/V.

Explanation:

8 0
2 years ago
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Explain with one example that different types of organisums live in one habitation​
inn [45]

Answer:

When you look at a simple koi pond you can find Koi (the secondary consumer) that feeds off of the zooplankton (first consumer), they eat the phytoplankton (producers). All in a simple food chain

Explanation:

Basically, Koi eat the little animal plankton (zooplankton) that then eats the plant plankton (phytoplankton) that can only end when a part of that habitat is removed. If you got rid of the plant plankton then the whole chain would collapse and most likely die.

5 0
2 years ago
A sled that has a mass of 8 kg is pulled at a 50 degree angle with a force of 20 N. The force of friction acting on the sled is
vitfil [10]

The acceleration of the sled will be 1.30 m/s². Force is defined as the product of mass and acceleration.

<h3>What is force?</h3>

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Given data;

m(mass of sled)=8 kg

Θ is the inclination of force= 50°

Force of friction,f=2.4 N.

The applied force at the given angle is resolved into the two-component as;

\rm F_h=F cos \theta \\\\ F_h= 20 cos 50 ^0 \\\\ F_h= 12.85 \ N

\rm F_v=F sin \theta \\\\  F_v=20 sin 50^0 \\\\   F_v=15.32 \ N

The net vertical force is zero;

\rm F_N=mg-Fsin50^0 \\\\ \rm F_N=8 \times 9.81 -15.32 \\\\ F_N=63.1 \ N \\\\

From Newton's second law the net force as;

\rm \sum F_{net}=ma \\\\ Fcos 60^0-f =ma \\\\ a=\frac{12.855-2.4}{8} \\\\a = 1.30 \ m/s^2

Hence, the acceleration of the sled will be 1.30 m/s².

To learn more about the force refer to the link;

brainly.com/question/26115859

#SPJ1

5 0
1 year ago
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