Answer:
1.96 J
Explanation:
From the law of conservation of energy
ΔU + ΔK = 0 where ΔU = internal energy change and ΔK = kinetic energy change. We neglect potential energy change since we are not given any information about it.
ΔU = -ΔK
ΔK = K₂ - K₁ where K₁ = initial kinetic energy and K₂ = final kinetic energy = 0 where ΔU = 0.382K₁
= 0.382mv²/2 where m = mass of spike = 0.71 kg and v = initial speed of spike = 3.8 m/s
= 0.382 × 0.71 kg × (3.8 m/s)²/2
= 1.96 J
When The increase in internal energy of the tie and spike is = 1.96 J Applying the law of conservation of energy.
The law of conservation of energy are:
Then, ΔU + ΔK = 0 where ΔU is = internal energy change and ΔK is = kinetic energy change. Then We neglect potential energy change since we are not given any information about it.
After that, ΔU is = -ΔK
Then, ΔK is = K₂ - K₁ where K₁ = initial kinetic energy and also K₂ is = final kinetic energy = 0 where, ΔU is = 0.382K₁
Then, = 0.382mv²/2 where m is = mass of spike = 0.71 kg and v is = initial speed of spike is = 3.8 m/s
After that, = 0.382 × 0.71 kg × (3.8 m/s)²/2
Therefore, = 1.96 J
Find more information about Law of conservation of energy here:
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