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4 years ago

8

Consider an electron moving with relativistic speed v and momentum of magnitude p. If the speed of the electron is doubled, the

resulting relativistic momentum of the electron will be:a) equal to 2pb) less than 2pc) greater than 2pPlease explain why.

1 answer:

astraxan [27]4 years ago

8 0

Answer:

option (b)

Explanation:

initial speed = v

initial momentum = p

final speed = 2v

final momentum = p'

The formula for relativistic momentum is given by

$p = \frac{mv}{\sqrt{1-\frac{v^{2}}{c^{2}}}}$ .... (1)

The new momentum is given by

$p' = \frac{m\times 2v}{\sqrt{1-\frac{4v^{2}}{c^{2}}}}$ .... (2)

By comparison, p' < 2p.

Thus, the option is (b) .

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A dog starts at the origin and runs forward at 6m/s for 1.5s and then turns around to fetch the ball by running backward at 7m/s

Vera_Pavlovna [14]

Answer:

Total time elapsed between the start and when he returns with the ball is 7.5s

Explanation:

From the question,

- The dog starts at the origin and runs forward at 6m/s for 1.5s. First, we will determine the distance covered while running forward.

From

Speed = Distance / Time

Distance = Speed × Time

Speed = 6m/s

Time = 1.5s

∴ Distance = 6m/s × 1.5s

Distance = 9m

That is, the dog covered a distance of 9m while running forward.

- The dog turns around and runs backward at 7m/s for 3s. Now, we will also determine the distance the dog covered backwards.

Distance = Speed × Time

Speed = 7m/s

Time = 3s

Distance = 7m/s × 3s

Distance = 21m

The dog's displacement from the origin is 21m - 9m = 12m

Now, to calculate how much time has elapsed between the start if the dog runs back to the origin at 4m/s, we will first determine the time the dog spent back to the origin and then add to the time spent for the first two distances.

To get back to the origin, the dog needs to cover 12m

From

Speed = Distance / Time

Time = Distance / Speed

Distance = 12m

Speed = 4m/s

∴ Time = (12m) / (4m/s)

Time = 3s

Therefore, the dog spent 3s to run back to the origin.

Hence, total time elapsed = 1.5s + 3s + 3s

Total time elapsed = 7.5s

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3 years ago

Three forces act on an object. Two of the forces have the magnitudes 56 N and 27 N, and make angles 53° and 156°, respectively,

Ludmilka [50]

Answer:

Explanation:

Given

Two forces $F_1$ and $F_2$ at an angle of $\theta _1$ $\theta _2$

$F_1=56\ N$

$F_2=27\ N$

$\theta _1=53^{\circ}$

$\theta _2=156^{\circ}$

As resultant force is zero therefore horizontal component as well as vertical component of force is zero

$\sum F_x=F_1\cos \theta _1+F_2\cos \theta _2+F_3\cos \theta _3$

$\sum F_x=56\cos 53+27\cos 156+F_3\cos \theta$

$F_3\cos \theta_3=-9.035\ N----1$

$\sum F_y=F_1\sin \theta _1+F_2\sin \theta _2+F_3\sin \theta _3$

$F_3\sin \theta _3=55.704\ N----2$

squaring and adding 1 and 2

$F_3^2(\cos ^2\theta _3+\sin^2\theta _3)=86.583+3102.93$

$F_3=56.47\ N$

Divide 1 and 2 to get $\theta _3$

$\frac{\sin \theta_3 }{\cos \theta_3 }=\frac{-55.704}{9.305}$

$\tan \theta_3=-6.16$

$\theta _3=180-80.78$

$\theta _3=99.22^{\circ}$

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3 years ago

A spherical object (with non-uniform density) of mass 16 kg and radius 0.22 m rolls along a horizontal surface at a constant lin

Lapatulllka [165]

Answer:

Kr = 0.7618K

Explanation:

Suppose that the object's velocity is V, then his kinetic energy is:

K = $\frac{mv^{2} }{2}$

K = $\frac{(16)v^{2} }{2}$

K = 8 $v^{2}$

The rotational kinetic energy is

Kr = $\frac{Iw^{2} }{2}$

where I: The moment of inertia

ω: angular velocity

Kr = $\frac{(0.59)w^{2} }{2}$

Kr = 0.295 $w^{2}$

How the movement is without slipping, then

ω = $\frac{v}{r}$

ω = $\frac{v}{0.22}$

Thus

Kr = $\frac{0.295v^{2} }{0.22^{2} }$

Kr = 6.095 $v^{2}$

8 $v^{2}$ ----> 1

6.095 $v^{2}$ ----->?

Kr = 0.7618K

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Locate the polyatomic ion in the compound CaCO3 <br> Ca <br> 0 <br> CO3 <br> C

dimaraw [331]

CO₃

Explanation:

The polyatomic ion in the compound CaCO₃ is CO₃.

A polyatomic ion is an ion that is made up of more than one atom that has singular property.

They are usually called radicals.

CaCO₃ ⇒ Ca²⁺ + CO₃²⁻

CO₃²⁻ is a polyatomic ion because it is made up of more than one atom.

The CO₃²⁻ is called a carbonate group.

It is made up of:

one atom of carbon
3 atoms of oxygen
a net charge of 2-

learn more:

Polyatomic ions brainly.com/question/6786947

#learnwithBrainly

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d1i1m1o1n [39]

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