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Standard XIII

Physics

Momentum, K.E. Relation

Two ice skate...

Question

Two ice skaters A and B approach each other at right angles. Skater A has a mass $30 kg$ and velocity $1 m/s$ skater B has a mass $20 kg$ and velocity $2 m/s$ . They meet and cling together. The final velocity of the couple is

2 m/s

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1.5 m/s

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1 m/s

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1.5 m/s

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Solution

The correct option is C $1 m/s$
Mass of combined body = 50 kg

By conserving momentum, $30 i + 40 j = 50 \to v$
$| \to v | = \frac{50 kg - m}{5 kg} = 1 m/s$

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Two ice skaters A and B approach each other at right angles. Skater A has a mass 30 kg and velocity 1 m/s skater B has a mass 20 kg and velocity 2 m/s. They meet and cling together. The final velocity of the couple is

The correct option is C 1 m/sMass of combined body = 50 kg By conserving momentum, 30i+40j=50→v |→v|=50 kg - m5 kg=1m/s

Two ice skaters A and B approach each other at right angles. Skater A has a mass $30 kg$ and velocity $1 m/s$ skater B has a mass $20 kg$ and velocity $2 m/s$ . They meet and cling together. The final velocity of the couple is

The correct option is C $1 m/s$
Mass of combined body = 50 kg

By conserving momentum, $30 i + 40 j = 50 \to v$
$| \to v | = \frac{50 kg - m}{5 kg} = 1 m/s$