Question

two balls A and B of masses 40 g and 50g are moving at speeds of 40 ms and 30 ms respectively if after colliding,B stars moving with a velocity of 25 ms what is the velocity of A

Answer 1

it will move in 30ms

Answer 2

Given Info:-

• Two balls A and B of masses 40 g and 50 g are moving at speeds of 40 m/s and 30 m/s respectively.If after colliding, B stars moving with a velocity of 25 m/s, what is the velocity of A? That means –
• Mass of ball, m1 = 40 g
• Mass of ball, m2 = 50 g
• initial velocity of ball, u1= 40 m/s
• initial velocity of ball, u2= 30 m/s
• final velocity of ball, v2= 25 m/s

Explanation :-

We are asked to find –

• Final velocity of ball A (v1) = ?

$\purple{\bigstar \; {\underline{\boxed{\bf{ m_1 \times u_1 + m_2 \times u_2 =m_1 \times v_1 + m_2 \times v_2 }}}}}$    

$\longrightarrow \tt 40 \times 40 + 50 \times 30 = 40 \times x + 50\times 25$

$\longrightarrow \tt 1600 + 1500 = 40x + 1250$

$\longrightarrow \tt 3100 = 40x + 1250$

$\longrightarrow \tt 3100 - 1250 = 40x$

$\longrightarrow \tt 1850 = 40x$

$\longrightarrow \tt x = \dfrac{ 1850}{40}$

$\longrightarrow \tt x = \cancel{\dfrac{185}{4}}$

$\longrightarrow \tt{\pink{\underline{\underline x= 46.25\: m/s }}}$

• Therefore, The final velocity of the ball A is 46.25 m/s.

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