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victus00 [196]
3 years ago
15

What force is necessary to accelerate a 5.0 kg mass from rest to a final velocity of 10.0 m/s in 5.0 s?

Physics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

10 N

Explanation:

F = ma = m(Δv/t) = 5.0(10.0 - 0)/5.0 = 10 N

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the stopping distance is greater than the free length of the track, the vehicle leaves the track before it can brake

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This problem can be solved using the kinematics relations, let's start by finding the final velocity of the acceleration period

          v² = v₀² + 2 a₁ x

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          v = \sqrt {2 \ 15.0 \ 645}

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now for the second interval let's find the distance it takes to stop

          v₂² = v² - 2 a₂ x₂

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         0 = v² - 2 a₂ x₂

         x₂ = v² / 2a₂

let's calculate

         x₂ = \frac{ 143.666^2 }{2 \  18.2}

         x₂ = 573 m

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