A force F acts on a particle that undergoes a displacement r.

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Step by step solution to the problem
"A force F = (8i - 3j) acts on a particle that undergoes a displacement r = (2i+j)m.
a) Find the work done by the force F on the particle
b) What is the angle formed between the force and the displacement vectors?

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STEP BY STEP SOLUTION:a)The work done by the force on the particle is calculated as: = Where the dot indicates that we need to calculate the scalar product of the two vectors and the boldletters stand for a vectorial magnitude. Hence, = (8 3) (2 + 1) = (8 2) + (3 1) = 16 3 = 13 b)To find out the angle formed between the force and the displacement, the easiest way is to consider that: = || || To calculate the modulus of the vectors,|| = 82 + (3)2 = 64 +
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