two particles A and B start moving with velocities 30m/s and 30√2 m/s along X axis respectively in xy plane from origin. the relative velocity of B wrt A
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Answer
Hey mate
The relative velocity is 31.62 m/s
The relative velocity is 31.62 m/sExplanation:
The relative velocity is 31.62 m/sExplanation:Given that,
The relative velocity is 31.62 m/sExplanation:Given that,Velocity of particle A
The relative velocity is 31.62 m/sExplanation:Given that,Velocity of particle A Velocity of particle B
The relative velocity is 31.62 m/sExplanation:Given that,Velocity of particle A Velocity of particle B Angle
The relative velocity is 31.62 m/sExplanation:Given that,Velocity of particle A Velocity of particle B Angle The component of particle A along x-axis
The relative velocity is 31.62 m/sExplanation:Given that,Velocity of particle A Velocity of particle B Angle The component of particle A along x-axisThe component of particle A along y-axis
The relative velocity is 31.62 m/sExplanation:Given that,Velocity of particle A Velocity of particle B Angle The component of particle A along x-axisThe component of particle A along y-axisThe component of particle B along x-axis
The relative velocity is 31.62 m/sExplanation:Given that,Velocity of particle A Velocity of particle B Angle The component of particle A along x-axisThe component of particle A along y-axisThe component of particle B along x-axisThe component of particle B along y-axis
The velocity of AB along x-axis
The velocity of AB along y-axis
The velocity of AB along y-axisNow, the relative velocity of B w.r.t A
The velocity of AB along y-axisNow, the relative velocity of B w.r.t AWhere,
The velocity of AB along y-axisNow, the relative velocity of B w.r.t AWhere, Hence, The relative velocity is 31.62 m/s
V_{ b }=30\sqrt { 2 } \times cos45
\Rightarrow v_{ b }=30\frac { m }{ s }
Answer:
Velocity of A is 30m/s
Velocity of B is 30√2 m/s
Relative velocity of B wrt A = Vb - Va
= 30√2 - 30 = 30 (√2 - 1 ) m/s
If you want an approx value
Relative velocity = 30 × 0.414 = 12.42m/s