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In this lesson, we will learn how to calculate the power of a moving body given that its motion and the force acting on it are represented in vector notation.

Q1:

A constant force F , measured in dynes, is acting on a body. The displacement of the body, after π‘ seconds, is given by r i j ( π‘ ) = οΉ 2 π‘ + 3 π‘ ο 2 c m , where i and j are two perpendicular unit vectors. Given that the force F was working at a rate of 35 erg/s when π‘ = 2 , and at 43 erg/s when π‘ = 4 , determine F .

Q2:

A constant force F , measured in dynes, is acting on a body. The displacement of the body, after π‘ seconds, is given by r i j ( π‘ ) = οΉ π‘ β 5 π‘ ο 2 c m , where i and j are two perpendicular unit vectors. Given that the force F was working at a rate of 71 erg/s when π‘ = 7 , and at 31 erg/s when π‘ = 2 , determine F .

Q3:

A constant force F , measured in dynes, is acting on a body. The displacement of the body, after π‘ seconds, is given by r i j ( π‘ ) = οΉ 2 π‘ β 6 π‘ ο 2 c m , where i and j are two perpendicular unit vectors. Given that the force F was working at a rate of 6 erg/s when π‘ = 6 , and at 14 erg/s when π‘ = 7 , determine F .

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