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SpyIntel [72]
3 years ago
11

A proton, moving in a uniform magnetic field, moves in a circle perpendicular to the field. If the proton's speed tripled, its t

ime to go around its circular path would be a)double. b)one third. c)triple. d)one half. e)the same And would you give me a brief explanation, please.
Physics
1 answer:
dmitriy555 [2]3 years ago
8 0
The force on the particle is given by F=qvB when the motion is perpendicular to the field.  Here q is the electric charge and B is the magnetic field in tesla.  The resulting motion is circular.  According to Newton's laws of motion an object in circular motion is accelerating radially according to a = v²/r where r is the radius of the circular path.  Since F=ma, we can use this acceleration to get the radial force, which is F=mv²/r.  This force and the force from the magnetic field are equivalent so
mv²/r=qvB.  The particle's velocity is then
v=qBr/m
Note the distance around the circle is 2πr.  This is a linear function in r, so if you double r, you double the length around the circle.  Since the velocity equation is directly proportional to r, if you triple v, you must also triple the right hand side of the equation as well.  But on the right side of the equation, q, B, and m are constant.  The only thing you can triple is r, meaning that while the particle is moving 3 times as fast as before, it now has 3 times further to travel, meaning
the time to go around is the same.  As the particle speeds up, the circle it is moving in gets bigger.  To change the time to go around, you'd need to change the magnetic field.
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Diano4ka-milaya [45]

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4 0
3 years ago
Points A [at (2, 3) m] and B [at (5, 7) m] are in a region where the electric field is uniform and given by E = (4i+3j)N/C. What
kkurt [141]

Answer:

- 144 V

Explanation:

A = (2, 3) m = 2 i + 3 j

B = (5, 7) m = 5 i + 7 j

Displacement vector = AB = B - A = (3 i + 4 j) m

Electric field, E = (4 i + 3 j ) N/C

V = - E . AB

V = - (4 i + 3 j) . (3 i + 4 j)

V = - (12 + 12) = - 144 V

5 0
3 years ago
The cylindrical tub of a dryer in a laundromat rotates counterclockwise about a horizontal axis at 41.5 rev/min as it dries the
frozen [14]

Answer:

\theta = 49.81^0

Explanation:

Given that:

\omega = 41.5 \ rev/min\\\\\omega = 41.5 *\frac{1}{60}* 2 \pi\\\\\omega = 4.45 \ rad/s\\\\\\diameter = 0.748 m

If we let the piece of the close lose contact at ∠θ;

Then ; from force balance;

we have:

\\\\mg sin \theta = \frac{mv^2}{r}\\\\sin \theta = \frac{2v^2}{dg}\\\\\theta = sin^{-1} (\frac{2v^2}{dg})

where;

v = \frac{\omega d}{2}\\\\v =  \frac{4.45 *0.748}{2}\\\\v = 1.6643\\\\v^2 = 2.77

Again:

\theta = sin^{-1}(\frac{2v^2}{dg})\\\\\theta = sin^{-1}( \frac{2*2.77}{0.74*9.8})\\\\\theta = 49.81^0

6 0
3 years ago
Weight is the downward pull of<br> on mass. What one word completes the sentence?
lesantik [10]

The word "gravity" belongs between "of" and "on".

6 0
2 years ago
A ball on the end of a string is whirled around in a horizontal circle of radius 0.478 m. The plane of the circle is 1.02 m abov
m_a_m_a [10]

Answer:

Explanation:

We shall find first the velocity of ball at the time when string breaks. Let it be v . During its fall on the ground , 1.02 m below, we use the formula

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1.02 = 1/2 x 9.8 x t²

t²= .2081

t = .456

During this time it travels horizontally at distance of 2.5 m with uniform velocity of v

v x .456 = 2.5

v  = 5.48 m /s

centripetal acceleration

= v² / r where r is radius of the circular path

= 5.48² / .478

= 62.82 m /s²

3 0
3 years ago
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