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natima [27]
2 years ago
6

A 4.99 m long rod of negligible weight is attached on one end to a ball joint which allows the rod to rotate in all directions.

The free end of the rod points 26◦ above the eastward horizontal direction. A 62.5 N force directed vertically Down is applied at the rod’s free end. What is the direction of the torque due to this force (relative to the pivot end of the rod)?
Physics
1 answer:
Aleksandr [31]2 years ago
6 0

Answer:

The answer is 91.18 Nm

Explanation:

Solution

Recall that

The length of the rod = 4.99 m

∅ = 26°

Force = 62.5N

Now,

T = r * F

The direction of the torque will be in horizontally northward

The torque magnitude is  T =r F sin θ

where ∅ will be the angle between r + F  θ= 163°

Therefore,

T = 4.99 * 62.5 * sin 163

T =91.18 Nm

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(a) The intensity of the electromagnetic wave is related to the amplitude of the electric field by
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where
I is the intensity
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E is the amplitude of the electric field

By substituting the numbers of the problem and re-arranging the equation, we can find E:
E= \frac{2 I}{c \epsilon_0} = \frac{2 ( 2.9 \cdot 10^3 Wm^{-2})}{(3 \cdot 10^8 m/s)(8.85 \cdot 10^{-12} Fm^{-1})} =2.2 \cdot 10^6 N/C

Now that we have the intensity of the electric field, we can calculate the electric force on the charge:
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(b) We can calculate the amplitude of the magnetic field starting from the amplitude of the electric field:
B= \frac{E}{c}= \frac{2.2 \cdot 10^6 N/C}{3 \cdot 10^8 m/s}=7.3 \cdot 10^{-3} T

The magnetic force is given by
F=qvB \sin \theta
where v is the particle's speed, B the magnetic field intensity and \theta the angle between B and v.
In this case the charge is stationary, so v=0, and so the magnetic force is zero: F=0.

(c) The electric force has not changed compared to point (a), because it does not depend on the speed of the particle, so we have again F=0.046 N.

(d) This time, the particle is moving with speed v=3.7 \cdot 10^4 m/s, in a direction perpendicular to the magnetic field (so, the angle \theta is 90^{\circ}), and so by using the intensity of the magnetic field we found in point (b), we can calculate the magnetic force on the particle:
F=qvB \sin \theta = (2.1 \cdot 10^{-8}C)(3.7 \cdot 10^4 m/s)(7.3 \cdot 10^{-3} T)(\sin 90^{\circ} )=
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2 years ago
A 1.0 104 kg spacecraft is traveling through space with a speed of 1200 m/s relative to Earth. A thruster fires for 2.0 min, exe
aniked [119]
We are given information:
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If we apply Newton's second law we can calculate acceleration:
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Now we can use this information to calculate change of speed.
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Force is being applied in direction that is opposite to a direction in which space craft is moving. This means that final speed will be reduced.
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If the distance between us and a star is doubled, with everything else remaining the same, the luminosity Group of answer choice
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Answer:

remains the same, but the apparent brightness is decreased by a factor of four.

Explanation:

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The apparent brightness of a star is a measure of the rate at which radiated energy from a star reaches an observer on Earth per square meter per second.

The apparent brightness of a star is measured in watts per square meter.

If the distance between us (humans) and a star is doubled, with everything else remaining the same, the luminosity remains the same, but the apparent brightness is decreased by a factor of four (4).

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8 0
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Jeremy accidently dropped his toy stuffed animal from the balcony of his apartment on the fourth floor. The toy hit the ground a
LekaFEV [45]
According to the second law of motion, force is the product of mass times acceleration. If we were to solve for the force, we would need the acceleration and the mass. 

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a =  \frac{vf-vi}{t}

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F=ma
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4 0
2 years ago
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Semmy [17]

Answer:

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Hence, The distance and height of the object  is 6 m and 2 m.

The image is virtual and upright.

6 0
2 years ago
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