Question

$\huge \mathfrak \red{Question}$​

Answer 1

Answer:

The given items in the question are :

Mass 1 = 1000 kg

Mass 2 = 2000 kg

Velocity (u¹) = 20 m/s

Velocity (u²) = 25 m/s (not u square)

Velocity Final ( v¹) = 15 m/s

Velocity Final (v²) = ? (not v square)

$\sf{———————————————}———————————————$

[Where u¹ and v¹ are initial and final velocities of car A]

[Where u¹ and v¹ are initial and final velocities of car A][Where u² and v² are initial and final velocities of car B]

Note this formula:

$\sf \boxed{m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2}$

Replace the values in the formula :

$\sf{m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2}m$

1000 × 20 + 2000 × 25 = 1000 × 15 + 2000 × V2

20000 + 50000 = 15000 + 2000 × V2

70000 = 15000 + 2000 × V2

55000 = 2000 × V2

55000/2000 = V2

27.5 = V2

• Hence, the answer is 27.5 m/s

$\sf \bold{———————————————}———————————————$

Hopes it helps :)

Answer 2

Answer:

The given items in the question are :

Mass 1 = 1000 kg

Mass 2 = 2000 kg

Velocity (u¹) = 20 m/s

Velocity (u²) = 25 m/s (not u square)

Velocity Final ( v¹) = 15 m/s

Velocity Final (v²) = ? (not v square)

[Where u¹ and v¹ are initial and final velocities of car A]

[Where u¹ and v¹ are initial and final velocities of car A][Where u² and v² are initial and final velocities of car B]

Note this formula:

Replace the values in the formula :

1000 × 20 + 2000 × 25 = 1000 × 15 + 2000 × V2

20000 + 50000 = 15000 + 2000 × V2

70000 = 15000 + 2000 × V2

55000 = 2000 × V2

55000/2000 = V2

27.5 = V2

Hence, the answer is 27.5 m/s