A force F - 5- -3- 2k- N is applied over a partivle which displaces it from its origin to the point r - 2- - m- The work done on the particle in joules is then

The correct option is B +7 W= F .Δ r =( 5î ̂ ̂ ̂#̂1̂0̂;̂ +3ĵ 2k̂ #160; ) .( 2î ĵ #160; #10;) =10 3=7Joule ...

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Standard XII

Mathematics

Applications of Dot Product

A force F =...

Question

A force $\to F = (5^i + 3^j 2^k) N$ is applied over a partivle which displaces it from its origin to the point $\to r = (2^i -^j) m$ . The work done on the particle in joules is then

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Solution

The correct option is B $+ 7$
$W = \to F . Δ \to r = (5^i + 3^j 2^k) . (2^i -^j) = 10 - 3 = 7 J o u l e$

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A force →F=(5^i+3^j2^k)N is applied over a partivle which displaces it from its origin to the point →r=(2^i−^j)m. The work done on the particle in joules is then

The correct option is B +7W=→F.Δ→r=(5^i+3^j2^k).(2^i−^j)=10−3=7Joule

A force $\to F = (5^i + 3^j 2^k) N$ is applied over a partivle which displaces it from its origin to the point $\to r = (2^i -^j) m$ . The work done on the particle in joules is then

The correct option is B $+ 7$
$W = \to F . Δ \to r = (5^i + 3^j 2^k) . (2^i -^j) = 10 - 3 = 7 J o u l e$