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2 years ago

10. A boat traveling at 9.5 m/s reduces its acceleration at a rate of 2.5 m/s2. What is the final speed of the boat

Physics

1 answer:

Fiesta28 [93]2 years ago

7 0

Answer:

6.75m/s

Explanation:

using the second equation of motion, the time is calculated.

and with the formula a= (v - u)/t

where a is acceleration but in this case it's deceleration (and should be negated as you solve it ) .

v is final velocity

u is initial velocity

t is time taken

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3 years ago

A proton enters a region of constant magnetic field, perpendicular to the field and after being accelerated from rest by an elec

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Answer:

B = 1.1413 10⁻² T

Explanation:

We use energy concepts to calculate the proton velocity

starting point. When entering the electric field

Em₀ = U = q V

final point. Right out of the electric field

em_f = K = ½ m v²

energy is conserved

Em₀ = Em_f

q V = ½ m v²

v = $\sqrt{2qV/m}$

we calculate

v = $\sqrt{\frac{ 2 \ 1.6 \ 10^{-19} \ 300}{1.67 \ 0^{-27}} }$

v = $\sqrt{632.3353 \ 10^8}$

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now enters the region with magnetic field, so it is subjected to a magnetic force

F = m a

the force is

F = q v x B

as the velocity is perpendicular to the magnetic field

F = q v B

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a = v² / r

we substitute

qvB =1/2 m v² / r

B = v $\frac{m v}{2 q r}$

we calculate

B = $\frac{1.67 \ 10^{-27} 25.15 \ 10^4 }{1.6 \ 10^{-19} 0.23}$

B = 1.1413 10⁻² T

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3 years ago

Read 2 more answers

7. A sound wave begins traveling through a thin metal rod at one end with a speed that is 15 times the speed of sound in air. If

san4es73 [151]

Answer:

L = 44,096 m

Explanation:

The speed of the sound wave is constant therefore we can use the relations of uniform kinematics

v = x / t

the speed of the wave in the bar is

v = 15 v or

v = 15 343

v = 5145 m / s

The sound at the bar goes the distance

L = v t

Sound in the air travels the same distance

L = v_air (t + 0.12)

as the two recognize the same dissonance,

v t = v_air (t +0.12)

t (v- v_air) = 0.12 v_air

t = 0.12 v_air / (v -v_air)

et's calculate

t = 0.12 343 / (5145 - 343)

t = 8.57 10-3 s

The length of the bar is

L = 5145 8.57 10-3

L = 44,096 m

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3 years ago