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Law Incorporation [45]
3 years ago
6

The triangular coil of wire in the drawing is free to rotate about an axis that is attached along side AC. The current in the lo

op is 5.25 A, and the magnetic field (parallel to the plane of the loop and side AB) is B = 1.6 T. (a) What is the magnetic moment of the loop, and (b) what is the magnitude of the net torque exerted on the loop by the magnetic field?

Physics
1 answer:
bulgar [2K]3 years ago
8 0

Answer:

Explanation:

The magnetic moment of a current loop is simply the current times the area of the loop. In this case...

height of triangle = 2.00*tan(55) = 2.856 m

Area=0.5*base*height

         =0.5*2*2.856

         =2.856 m²

a)

   magnetic moment = area * current = 2.856 * 5.26 = 14.994 A.m²

b)

then the torque is simply the B field times the magnetic moment

      torque = B * mag moment = 1.6 * 15.022 = 24.03 N-m

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krok68 [10]

Answer:

Explanation:

We shall find electric field at origin due to two given charges sitting   on the either side of origin .

Total field will add up due to their same direction .

Field due to a charge Q

= 9 x 10⁹ x Q / R²  ;  R is distance of point , Q is charge

Field due to first charge

= 9 x 10⁹ x 40 x 10⁻³ / 2² x 10⁻⁴

= 90 x 10¹⁰ N/C

Field due to second  charge

= 9 x 10⁹ x 50 x 10⁻³ / 2² x 10⁻⁴

= 112.5 x 10¹⁰ N/C

Total field

= 202.5 x 10¹⁰ N/C

Force on given charge at origin

= charge x field

= 4 x 10⁻³ x 202.5 x 10¹⁰

= 810 x 10⁷ N .

4 0
4 years ago
A solid sphere is rolling on a surface. what fraction of its total kinetic energy is in the form of rotational kinetic energy ab
drek231 [11]
<span>Total KE = KE (rotational) + KE (translational) Moment of inertia of sphere is I = (2/5)mr^2 So KE (rotational) = (1/2) x I x w^2 = (1/2) x (2/5)mr^2 x w^2 = (1/5) x m x r^2 x w^2 KE (translational) = (1/2) x m x v^2 = (1/2) x m x (rw)^2 = (1/2) x m x r^2 x w^2 Hence KE = (1/5) x m x r^2 x w^2 + (1/2) x m x r^2 x w^2 = m x r^2 x w^2 ((1/5) + (1/2)) KE = (7/10) m x r^2 x w^2 Calculating the fraction of rotational kinetic energy to total kinetic energy, = rotational kinetic energy / total kinetic energy = (1/5) x m x r^2 x w^2 / (7/10) m x r^2 x w^2 = (1/5) / (7/10) = 2 / 7 The answer is 2 / 7</span>
7 0
3 years ago
A roundabout is a type of playground equipment involving a large flat metal disk that is able to spin about its center axis. A r
Zina [86]

Answer:

116.1 kgm²/s

1.12718 rad/s

Decreases

Explanation:

m = Mass of girl = 43 kg

M = Mass of roundabout = 120 kg

v = Velocity of roundabout = 2.7 m/s

r = Radius of roundabout = 1 m = R

I = Moment of inertia

Her angular momentum

L_i=mvr\\\Rightarrow L_i=43\times 2.7\times 1\\\Rightarrow L_i=116.1\ kgm^2/s

Magnitude of angular momentum is 116.1 kgm²/s

Here the angular momentum is conserved

L_f=L_i\\\Rightarrow I\omega=L_i\\\Rightarrow (\frac{1}{2}MR^2+mr^2)\omega=116.1\\\Rightarrow \omega=\frac{116.1}{\frac{1}{2}\times 120\times 1^2+43\times 1^2}\\\Rightarrow \omega=1.12718\ rad/s

Angular speed of the roundabout is 1.12718 rad/s

Initial kinetic energy

K_i=\frac{1}{2}mv^2\\\Rightarrow K_i=\frac{1}{2}43\times 2.7^2\\\Rightarrow K_i=156.735\ J

Final kinetic energy

K_f=\frac{1}{2}I\omega^2\\\Rightarrow K_f=\frac{1}{2}\times (\frac{1}{2}\times 120\times 1^2+43\times 1^2)\times 1.12718^2\\\Rightarrow K_f=65.43253\ J

The overall kinetic energy decreases as can be seen. This loss is converted to heat.

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3 years ago
A soccer ball is sitting in the middle of a soccer field during a game. When the referee blows his whistle, one of the players r
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The ball is going Zero miles right before the player kicks it.
 
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Explain how energy can be transformed back and forth between potential and kinetic energy in a yo-yo. Does the total amount of e
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The potential energy would be holding the yo-yo as the kinetic would be throwing it down and getting it back up

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