Question

ǫᴜᴇsᴛɪᴏɴ ( ᴊᴇᴇ ) ❤ :-

sᴏʟᴠᴇ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ ᴏғ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ^_^ ......


⍟ ғᴜʟʟ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ ɴᴇᴇᴅᴇᴅ ⍟

ᴛʜᴀɴᴋs :)
ᴀʟʟ ᴛʜᴇ ʙᴇsᴛ ❤ .​

Answer 1

(B) 3 : 3 : 2

Explanation :-

Case (I) :-

Gravitational force ( Non impulsive)

• I = 0 ( Here, I is Impulse)
• Δp = 2m(v) - mu = 0 ( Here, Δp is change in momentum)

=> 2mv = mu

${ \bold\pink{=> \: v_a= \frac{u}{2} - - - - - - (1)}}$

Case (II) :-

Spring force ( Non impulsive)

• I = 0 ( Here, I is Impulse)
• Δp = 2m(v) - mu = 0 ( Here, Δp is change in momentum)

=> 2mv = mu

${ \bold\green{=> \: v_b= \frac{u}{2} - - - - - - (2)}}$

From eqn. (1) & (2),

${ \bold{\red{v_a \: = \: v_b \: = \: \frac{u}{2} }}}$

Case (III) :-

• I ≠ 0 (Here, Impulse ≠ 0)
• Δp ≠ 0 (Here, Change in momentum ≠ 0)

=> Δp = 2m(v) - mu = -I

=> I = mv - 0 = mv

=> I = mv.

=> 2mv - mu = -(mv) ( °.° I = mv)

=> 2mv + mv = mu

=> 3mv = mu

${ \bold\orange{=>u_c = \frac{u}{3} - - - - - - - (3) }}$

From eqn. (1) , (2) & (3),

$=> \bold{Ratio = \: \frac{u}{2}: \frac{u}{2}: \frac{u}{3} }$

$=> \bold{Ratio = \frac{1}{2}: \frac{1}{2} : \frac{1}{3} }$

$=> \bold{Ratio\: = 1 :1: \frac{2}{3} }$

$=> \bold \blue{Ratio =3:3:2 }$