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2) Force is perpendicular to momentum.
Explanation:
P= B[sinwt i + coswt j]
Force = dP/dt
Differentiating, using chain rule.
F= B[coswt×w i + -sinwt ×w j]
= Bw[coswt i - sinwtj]
P.F(dot product of P vector and F vector) |P|×|F|×cos theta= coswt×sinwt - coswt×sinwt = 0
Therefore, Force and Momentum are perpendicular to each other.(theta=90°).
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