Physics, asked by IshitaChaubey, 8 months ago

The linear momentum of a ball of mass 50 gram is 0.5kgm/s.find its velocity.

A  10m/s

B  20m/s

C  50m/s

D  120m/s​

Answers

Answered by MystícPhoeníx
13

Given:-

  • Mass of ball ,m = 50g

  • Linear Momentum P = 0.5khm/s

To Find:-

  • Final velocity ,v

Solution:-

Conversion of Unit

1kg = 1000g

∴ 50g = 50/1000kg = 0.05kg

As we know that Linear momentum is the product of mass and velocity.

P = mv

Substitute the value we get

→ 0.5 = 0.05 × v

→ v = 0.5/0.05

→ v = 50/5

→ v = 10 m/s

The final velocity of the ball is 10m/s.

Hence , Option (A) is the correct answer.

Answered by FantasticQueen
2

  \sf \huge \bull { \bold{ \underline{ \:given}}} \\  \\ \sf \large  \implies \: The  \: linear \:  momentum  \: of  \: a  \: ball \:    is  \: 0.5kgm/s.  \\  \\  \sf \large \implies \: \: mass =   \: 50  \: gram \\  \\   \sf \huge \bull { \bold{ \underline{ \:to \: find}}}  \\  \\  \\  \sf \large \implies \: velocity \:  \\  \\  \\   \sf \huge \bull { \bold{ \underline{ \:solution}}}  \\  \\  \\  \:  \sf \large \implies { \boxed{ \bold{ \red{linear \: momentum =  mass \:  \times velocity}}}} \\  \\ \sf \large \implies \: let \: velocity \: be \: u  \\ \\    \sf \large \implies 0.5   \:  = 0.05 \times u\\  \\   \sf \large \implies \: u \:  =  \frac{0.5}{0.05}  \\  \\   \sf \large \implies  velocity \:  =  \cancel  \frac{500}{50} \\  \\    \sf \large \implies \:{ \bold{ \blue{ \boxed{ \underline velocity \:  = 10 \: m {s}^{ - 1} }}}} \\  \\  \\  \\  \bf \therefore \large \: option \: (a) \: 10 {ms}^{ - 1}  \: is \: correct \:

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