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4 years ago

An object is experiencing an acceleration of 12 m/s2 while traveling in a circle of radius 5.0 m. What is its velocity?

Physics

1 answer:

ddd [48]4 years ago

5 0

Answer:

v = 7.74 m/s

Explanation:

Given that,

The acceleration of the object, a = 12 m/s²

The radius of the circle, r = 5 m

We need to find the velocity of the object. The centripetal acceleration act on the object that is given by :

$a=\dfrac{v^2}{r}\\\\v=\sqrt{ar} \\\\v=\sqrt{12\times 5} \\\\v=7.74\ m/s$

So, the velocity of the car is 7.74 m/s.

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3 years ago

In a mass spectrometer, a single-charged particle (charge e) has a speed of 1.0 × 10 6 m/s and enters a uniform magnetic field o

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Answer:

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Explanation:

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The radius is $r = 0.02 \ m$

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$F_c = \frac{mv^2}{r }$

Now this centripetal force is due to the force exerted on the charge by the magnetic field on the charge which is mathematically represented as

$F_m = qv B sin\theta$

At the maximum of this magnetic force $\theta = 90 ^o$

$F_m = e v B sin(90)$

$F_m = e v B$

Now given that it is this magnetic force that is causing the circular motion we have that

$F_c = F_m$

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=> $m = \frac{e * B * r }{v }$

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