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College Physics (Urone)
Found in: Page 82

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Short Answer

(a) Calculate Earth’s average speed relative to the Sun.

(b) What is its average velocity over a period of one year?

a. Earth’s average speed related to Sun is 3×104 m/s.

b. The average velocity of the earth is zero.

See the step by step solution

Step by Step Solution

Step 1: Average speed of earth around the Sun

Average speed is the ratio of the total distance travelled to that of the total time taken to travel that distance.

a.

Average Speed=Total DistanceTotal TimeS=Circumference of earth's orbit around sun1 yearS=2πR1year

Substituting values in the above equation, we get,

S=2×3.14×1.5×1011 m365×24×3600 sS=3×104 m/s

Hence the average speed of the earth around the sun is 30000 m/s .

Step 2: Average Velocity of the earth around the Sun

The average velocity is the ratio of the average displacement to that of the time period.

In the case of circular motion, after one year, the earth is coming back to its initial position.

b.

Hence displacement will be zero.

Average velocity =Total DisplacementTotal Time

Substituting values in the above equation, we get,

V=01yearV=0365×24×3600V=0 m/s

Hence the velocity will be zero, and the speed will be 0 m/s.

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