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A speed skater moving to the left across frictionless ice at 8.6 m/s hits a 4.7-m-wide patch of rough ice. She slows steadily, then continue
Question
A speed skater moving to the left across frictionless ice at 8.6 m/s hits a 4.7-m-wide patch of rough ice. She slows steadily, then continues on at 5.3 m/s.
What is her acceleration on the rough ice?
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Physics
4 years
2021-08-19T00:34:28+00:00
2021-08-19T00:34:28+00:00 1 Answers
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Answers ( )
Answer:
a = 4.88 m / s²
Explanation:
We can solve this exercise using the expressions of kinematics in one dimension
v² = v₀² – 2a x
where v is the velocity, v₀ is the initial velocity, at acceleration and ax is the distance, the negative sign is because the velocity decreases because
a = (v₀² – v²) / 2x
let’s calculate
a = (8.6² – 5.3²) / (2 4.7)
a = 4.88 m / s²