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

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

Short Answer

Expert verified

a. Earth鈥檚 average speed related to Sun is 3104鈥尘/蝉.

b. The average velocity of the earth is zero.

Step by step solution

01

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.

础惫别谤补驳别鈥塖辫别别诲=罢辞迟补濒鈥塂颈蝉迟补苍肠别罢辞迟补濒鈥涂颈尘别S=颁颈谤肠耻尘蹿别谤别苍肠别鈥塷蹿鈥塭补谤迟丑'蝉鈥塷谤产颈迟鈥塧谤辞耻苍诲鈥塻耻苍1鈥墆别补谤S=2蟺搁1year

Substituting values in the above equation, we get,

S=23.141.51011鈥尘365243600鈥塻S=3104鈥尘/蝉

Hence the average speed of the earth around the sun is30000鈥尘/蝉 .

02

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.

础惫别谤补驳别鈥塿别濒辞肠颈迟测=罢辞迟补濒鈥塂颈蝉辫濒补肠别尘别苍迟罢辞迟补濒鈥涂颈尘别

Substituting values in the above equation, we get,

V=01yearV=0365243600V=0鈥尘/蝉

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

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