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KIM
3 months ago
14

A 2600-m-high mountain is located on the equator. how much faster does a climber on top of the mountain move than a surfer at a

nearby beach? the earth's radius is 6400 km.
Physics
1 answer:
Maru [3.3K]3 months ago
5 0

The climber's speed is 0.19 m/s greater than that of the surfer on the beach.

Both individuals are on Earth and share a consistent angular velocity, but their linear speeds differ.

Calculating the seconds in a day gives us t=24*60*60=86400 sec

The linear speed on the beach is computed as

V1=\frac{2πr}{t}

Where t is the duration

Substituting values into the equation leads to

V1=\frac{2π*6.4*10^6}{86400}=465.421 m/s

The mountain's linear speed is determined as

V2=\frac{2π(r+h)}{t}

Inserting values into the equation results in

V2=\frac{2π(6.4*10^6+2600}{86400}=465.61 m/s

Thus, the climber exceeding the surfer's speed is calculated as 465.61-465.421=0.19 m/s

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