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Natalka [10]
3 years ago
15

A particle moves on a line away from its initial position so that after t hours it is s = 6t2 + 2t miles from its initial positi

on. find the average velocity of the particle over the interval [1, 4]. include units in your answer.
Physics
1 answer:
docker41 [41]3 years ago
6 0
<span>32 mph
   First, let's calculate the location of the particle at t=1, and t=4
 t=1
 s = 6*t^2 + 2*t
 s = 6*1^2 + 2*1
 s = 6 + 2
 s = 8 t = 4
 s = 6*t^2 + 2*t s = 6*4^2 + 2*4
 s = 6*16 + 8
 s = 96 + 8
 s = 104
   So the particle moved from 8 to 104 over the time period of 1 to 4 hours. And the average velocity is simply the distance moved over the time spent. So:
 avg_vel = (104-8)/(4-1) = 96/3 = 32
   And since the units were miles and hours, that means that the average speed of the particle over the interval [1,4] was 32 miles/hour, or 32 mph.</span>
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Answer:

0.75 NC⁻¹

Explanation:

Electric field intensity ( or strength of the electric field ) is the force per a 1 C charge,

So, Force (F) = Electric field intensity(E) × Charge (q)

                 F = E×q ⇒ q = F/E

                                      = 4.5×10⁻⁴/6×10⁻⁴ = 0.75 NC⁻¹

According to cool om's law electric fields are generated due to charges. When charges are same there is a repulsive force acted on both charges. When charges are opposite there is a attraction force acted  on both charges.

According to cool om's law,

F =G×q1×q2 / r²

F = force exerted of two charges

q1 , q2 = charges

r = distance between two charges

And also Electric field intensity is a vector which has a magnitude and direction both. Direction is depending on a charge and the sign of the charge

6 0
3 years ago
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A CAR APPROACHING A SCHOOL ZONE SLOWS DOWN FROM 38 M/S TO 10 M/S AT A CONSTANT ACCELERATION -4 METER PER SEC SQUARE HOW MUCH TIM
Andre45 [30]

Answer:

7 seconds

Explanation:

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A planet orbits the Sun<br>every 4.5 years. uniform or non uniform velocity?​
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I want to know about the inventions caused due to rain. Like the Benjamin Franklin's Lightning Conductor. I have to make a chart
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He had his materials at the ready: a simple kite made with a large silk handkerchief, a hemp string, and a silk string. He also had a house key, a Leyden jar (a device that could store an electrical charge for later use), and a sharp length of wire. His son William assisted him.

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3 years ago
A pendulum of length l=5.0m attached to the ceiling carries a ball of mass 10.0 kg. The ball (a massive bob) is moved from its s
never [62]

Answer:

    Em₀ = 245 J

Explanation:

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Initial energy the highest point

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The height can be found with trigonometry

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Let's calculate

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3 0
3 years ago
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