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Anit [1.1K]
2 years ago
8

Plane 1 leaves city A at 7 am and flies at a speed of 250 mph in a straight line towards city B, located 1000 miles North of cit

y A. Plane 2 leaves city C located 300 miles East and 400 miles North of city A at 7:30 am and flies West at a speed v mph. The planes fly at the same altitude. For which value of v do they collide ?
Physics
1 answer:
Reika [66]2 years ago
8 0

Answer:v=142.85 mph

Explanation:

Given

Distance between two cities is 1000 miles

Speed of plane 1 id 250 mph

Plane 1 leaves at 7 am and Plane 2 leaves at 7:30 am

They will collide if plane 2 travels 300 miles and Plane  1 travels 400 miles in t and t+0.5 hr  respectively

Time taken by plane 2

t=\frac{300}{v}----1

time taken by plane  1 to travel 400 miles

t+0.5=\frac{400}{250}-----2

substitute value of t in 2

\frac{300}{v}+0.5=\frac{400}{250}

\frac{300}{v}=2.1

v=\frac{300}{2.1}=142.85 mph

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Explanation:

The energy stored in a spring

= 1/2 k x²

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If v be its velocity at that time

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3 years ago
An air track car with a mass of 6 kg and velocity of 4 m/s to the right collides with a 3 kg car moving to the left with a veloc
sammy [17]

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Plugging in our values,

(6 \times 4) - (3 \times 2) = (6 \times 1) + (3 \times v2) \\ 24 - 6 = 6 \times 3v2 \\ 18 = 18v2 \\ v2 = 1 {ms}^{ - 1}

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Read 2 more answers
Part C: Quantitative Problems when vf is not 0
Alina [70]

Answer:

(a)

\triangle v=-8\ m/s\\\triangle mv=-56\ kg.m/s

(b)

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Change in velocity, \triangle v is given by subtracting the initial velocity from the final velocity and expressed as \triangle v= v_f -v_i

Where v represent the velocity and subscripts f and i represent final and initial respectively. Since the ball finally comes to rest, its final velocity is zero. Substituting 0 for final velocity and the given figure of 8 m/s for initial velocity then the change in velocity is given by

\triangle v=0-8=-8\ m/s

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(b)

The impact force, F is given as the product of mass and acceleration. Here, acceleration is given by dividing the change in velocity by time ie

a=\frac {\triangle v}{t}=\frac { v_f -v_i}{t}

Substituting t with 0.05 s then a=\frac {\triangle v}{t}=\frac { v_f -v_i}{t}=\frac {-8}{0.05}=-160 m/s^{2}

Since F=ma then substituting m with 7 Kg we get that F=7*-160=-1120 N

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Therefore, Newton's law of gravity was inconsistent with the Einstein's Special Relativity.

3 0
2 years ago
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