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in Physics by (72.0k points)

A point object is moving with speed of 10m/s in front of a mirror moving with a speed of 3 m/s as shown in figure. Find the velocity of image of the object with respect to mirror, object & ground.

(1) The velocity of image of the object with respect to mirror 

(a) (5√3+3)î-5ȷ̑ 

(b) (5√3+3)î+5ȷ̑ 

(c) (5√3+3) ȷ̑-5î 

(d) None 

(2) Velocity of image of the object with respect to object 

(a) (10√3+6)î 

(b) (10√3+6)ȷ̑ 

(c) (10√3-6)î 

(d) None 

(3)The velocity of image of the object with respect to ground 

(a) (5√3+6)î-5ȷ̑ 

(b) (5√3+6)î+5ȷ̑ 

(c) (5√3-6)î+5ȷ̑ 

(d) None

1 Answer

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Best answer

VIM=? , VIO =? , VIG =? 

Given:        V0=-5√3î-5ȷ̑= VO ﬩ + V0‖ 

5√3=10 cos 30  

Vm=3î 

(VIM)﬩ =(VI-VM)﬩ = - (VOM)﬩ =(VM-VO)﬩ 

(VIM) ﬩= - (VOM

(VIM) ﬩= (3î+5√3î) 

(VIM) ‖= (VOM)‖ =(V0-VM)‖ 

(VIM) ‖= -5ȷ̑ 

(VIM) =(VIM) ‖ + (VIM) ﬩ 

(VIM) =-5ȷ̑+3î+5√3î =(3+5√3)î=5ȷ̑ 

VIO =VI – VO for this we need first velocity of image 

VIM =VI – V

VIM + VM =VI 

(5√3+3)î-5ȷ̑+3î=V

⇒ VI = (5√3+6)î-5ȷ̑ 

VIO =VI –V

VIO = (5√3+6)î-5ȷ̑-(-5√3î-ȷ̑) = 10√3î +6î+0ȷ̑ 

VIO =(10√3+6)î 

VIG =VI - V

If ground is supposed to be at rest: VG =0 

VIG =VI = (5√3+6)î-5ȷ

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