Question

Does anybody know the answer to these questions?

Answer 1

Answer:

  1. 625,000 J

  2. 100 J

  4. 5 kg

  5. √5 ≈ 2.236 m/s

Step-by-step explanation:

You should be aware that the SI derived units of Joules are equivalent to kg·m²/s².

To reduce confusion between m for mass and m for meters, we'll use an italic m for mass.

In each case, the "find" variable is what's left after we put the numbers into the formula. It is what the question is asking for. The "given" values are the ones in the problem statement and are the values we put into the formula. The formula is the same in every case.

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1. KE = (1/2)mv² = (1/2)(2000 kg)(25 m/s)² = 625,000 kg·m²/s² = 625,000 J

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2. KE = (1/2)mv² = (1/2)(0.5 kg)(20 m/s)² = 100 kg·m²/s² = 100 J

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4. KE = (1/2)mv²

  250 J = (1/2)m(10 m/s)² = 50 m²/s²

  (250 kg·m²/s²)/(50 m²/s²) = m = 5 kg

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5. KE = (1/2)mv²

  2000 kg·m²/s² = (1/2)(800 kg)v²

  (2000 kg·m²/s²)/(400 kg) = v² = 5 m²/s²

  v = √5 m/s ≈ 2.236 m/s