Force F⃗ = 3î + Cĵ + 2k̂ causes displacement d⃗ = −4î + 2ĵ + 3k̂. Work done is 6 J. Find C.
Physics · Mixed Chapter
JEE Main Practice

Question

Force F⃗ = 3î + Cĵ + 2k̂ causes displacement d⃗ = −4î + 2ĵ + 3k̂. Work done is 6 J. Find C.

G1 Physics · Accepted Answer

Step 1: Work of constant force W = F⃗·d⃗. Step 2: W = 3(−4) + C(2) + 2(3) = −6 + 2C. Step 3: Set −6+2C = 6 ⇒ C = 6.