Question

Can someone help me answer this please.
with solution and answer. thanm you so much!!​

Answer 1

Momentum-

`\:\:\:\:\:\:\:\:\:\:\:\:\star\sf \underline {P = mv}\\`

Where-

• P = Momentum
• m = Mass of Object
• v = Velocity of object

As per question, we are given -

• Distance travelled by car= 12 km
• Time taken = 20 minutes

Convert 20 minutes to hour-

• 1 minute = 1/60 hour

Therefore, 20 minutes = 20/60 = 1/3 hour

`\:\:\:\:\:\:\longrightarrow \sf\underline{Speed _((car)) = (Distance )/( time)}\\`

`\:\:\:\:\:\:\longrightarrow \sf Speed_((car)) = (12)/((1)/(3))\\`

`\:\:\:\:\:\:\longrightarrow \sf Speed_((car))=12 * 3 \\`

`\:\:\:\:\:\:\longrightarrow \sf Speed_((car))= 36 km/h \\`

`\:\:\:\:\:\:\longrightarrow \sf Speed_((car))= (36 * 1000)/(3600)\\`

`\:\:\:\:\:\:\longrightarrow \sf Speed_((car))= \frac{\cancel{36} * 10\cancel{0}\cancel{0}}{\cancel{36}\:\cancel{0}\cancel{0}}\\`

`\:\:\:\:\:\:\longrightarrow \sf \underline{Speed_((car)) = 10 m/s }\\`

• Mass = 30,000 gm
• Mass = 30,000/1000 kg =30kg

No that we have obtained the velocity of the car is 10 m/s and the mass of the car is 30 kg,so we can put all the values and find for momentum of car -

`\:\:\:\:\:\:\longrightarrow \sf \underline{Momentum_((car)) = mv}\\`

`\:\:\:\:\:\:\longrightarrow \sf Momentum_((car)) = 30 * 10\\`

`\:\:\:\:\:\:\longrightarrow \sf\underline{ Momentum_((car)) =300 kgms^(-1)}\\`

• Therefore, the momentum of car is 300 kgm/s.