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Pani-rosa [81]
3 years ago
10

A 1,000 kg ball traveling at 5 m/s would have kinetic energy. A 10 kg ball traveling at 5 m/s would have kinetic energy. A 100 k

g person falling at 5 m/s would have kinetic energy.
Physics
1 answer:
natita [175]3 years ago
8 0

Question : 1

  • mass (m) = 1000 kg
  • velocity (v) = 5 m/s

=》

k.e =  \dfrac{1}{2}mv {}^{2}

=》

k.e =  \dfrac{1}{2}  \times 1000 \times (5) {}^{2}

=》

k.e = 500 \times 25

=》

k.e = 12500 \: joules

kinetic energy = 12500 joules

Question : 2

  • mass (m) = 10 kg
  • velocity (v) = 5 m/s

=》

k.e =  \dfrac{1}{2} mv {}^{2}

=》

k.e = \dfrac{1}{2}  \times 10 \times  ({5})^{2}

=》

k.e = 5 \times 25

=》

k.e = 125 \: joules

kinetic energy = 125 joules

Question : 3

  • mass = 100 kg
  • velocity = 5 m/s

=》

k.e =  \dfrac{1}{2} mv {}^{2}

=》

k.e =  \frac{1}{2}  \times 100 \times (5) {}^{2}

=》

k.e = 50 \times 25

=》

k.e = 1250 \: joules

kinetic energy = 1250 joules

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Archy [21]

Answer:

1a). 4 times. 1b) 4. 1c) 1/4.

2a) 5 times. 1b) 5 1c) 1/5

3a) 7/3 times 3b) 7/3 3c) 3/7

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Explanation:

1) Assuming no external forces acting during the collision, total momentum must be conserved, so the following general expression applies:

m₁*v₁₀ + m₂*v₂₀ = m₁*v₁f  + m₂*v₂f (1)

If we assume that the collision is perfectly inelastic, this means that both masses stick together after the collision, so v₁f = v₂f.

If m₂ is initially at rest, ⇒ v₂₀ = 0.

Replacing in (1) we get the expression of vf as a function of v₁₀, as follows:

vf = v₁₀*(m₁/(m₁+m₂)

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1) initial mass = m

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So, the velocity of the system will decrease by a factor of 4. The new velocity will be vf= v₀/4.

2) Applying the same considerations, we get:

2a)  final mass / initial mass = 5

2b) vf = v₀* (m/5m) = v₀/5  ⇒v₀/vf = 5

2c) vf = v₀/5

3) Applying the same considerations, we get:

3a)  final mass / initial mass = 7/3

3b) vf = v₀* (3m/7m) =3/7* v₀  ⇒v₀/vf = 7/3

3c) vf = 3/7*v₀

4) Applying the same considerations, we get:

4a)  final mass / initial mass = 8/5

4b) vf = v₀* (5m/8m) = 5/8*v₀ ⇒v₀/vf = 8/5

4c) vf = 5/8*v₀

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