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1 year ago

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A proton is accelerated from rest through a potential difference V0 and gains a speed v0. If it were accelerated instead through

a potential difference of 2V0, what speed would it gain? A proton is accelerated from rest through a potential difference and gains a speed . If it were accelerated instead through a potential difference of , what speed would it gain? v02√ 4v0 8v0 2v0 SubmitReques

1 answer:

Svet_ta [14]1 year ago

6 0

Answer:

The speed is $\sqrt{2}v_{0}$ .

(a) is correct option.

Explanation:

Given that,

Potential difference $V= V_{0}$

Speed $v = v_{o}$

If it were accelerated instead

Potential difference $V'=2V_{0}$

We need to calculate the speed

Using formula of initial work done on proton

$W = q V$

We know that,

$\Delta W=\Delta K.E$

$q V=\dfrac{1}{2}mv^2$

Put the value into the formula

$q V_{0}=\dfrac{1}{2}mv_{0}^2$

$v_{0}^2=\dfrac{2qV_{0}}{m}$ ....(I)

If it were accelerated instead through a potential difference of $2 V_{0}$ , then it would gain a speed will be given as :

Using an above formula,

$v_{0}'^2=\dfrac{2qV_{0}}{m}$

Put the value of $V_{0}$

$v_{0}'^2=\dfrac{2q\times2V_{0}}{m}$

$v_{0}'=\sqrt{\dfrac{4qV_{0}}{m}}$

$v_{0}'=\sqrt{2}v_{0}$

Hence, The speed is $\sqrt{2}v_{0}$ .

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Answer:

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Explanation:

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(a).

When the projectile hits the 50m mark, $y=0$ ; therefore,

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solving for $t$ we get:

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Thus, the projectile must hit the 50m mark in 1.75s, and this condition demands from equation (1) that

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which gives

$\boxed{v_0 = 28.58m/s.}$

(b).

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$v_x = 28.58m/s.$

the vertical component of the velocity is

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which gives a speed $v$ of

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Answer:

The bomb will remain in air for <u>17.5 s</u> before hitting the ground.

Explanation:

Given:

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Initial vertical velocity is, $u_y=0(\textrm{Horizontal velocity only initially)}$

Let the time taken by the bomb to reach the ground be 't'.

So, consider the equation of motion of the bomb in the vertical direction.

The displacement of the bomb vertically is $S=y-y_0=0-1500=-1500\ m$

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Therefore, the displacement of the bomb is given as:

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2 years ago

1. For each of the following scenarios, describe the force providing the centripetal force for the motion: a. a car making a tur

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Complete Question

For each of the following scenarios, describe the force providing the centripetal force for the motion:

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Answer:

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Explanation:

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Answer:

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Explanation:

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a)

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b)

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<u>The spring constant at this instant:</u>

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c)

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Answer:

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