Question

A body of mass 2 kg initially at rest travels for 4sec with an acceleration of 1.5ms-1 . find the gain momentum of the body​

Answer 1

Answer:

we can solve this problem by using either kinemetics or impulse momentum theorem

By kinemetics applying first equation of uniform accelerated motion

v=u+at implies v=0+(1.5)4=6m/s

initial momentum = 0

final momentum = mv = (2)6 = 12 kg m/s

momentum gained = 12 kg m/s

now by impulse momentum theorem

impuse of force = change in momentum

here a=1.5 m/s. m=2 kg. So F=ma=2(1.5)=3 N

here force in constant

so Ft = change in momentum

3(4)=final momentum=12 kg m/s

Answer 2

➲ ɢɪᴠᴇɴ :-

• Mass (m) = 2kg
• Initial velocity (u) = 0 m/s. (At rest)
• Time (t) = 4 seconds
• Acceleration (a) = 1.5 m/s²

➲ ᴛᴏ ғɪɴᴅ :-

• Momentum (p)

➲ sᴏʟᴜᴛɪᴏɴ :-

On using 1st equation of motion, we get,

➨ v = u + at

➨ v = 0 + 1.5 × 4

➨ v = 6 m/s

Now,

We know that,

➦ Momentum(p) = Mass(m) × Velocity(v)

➦ p = mv

On putting above given values in it, we get,

➨ p = 2 × 6

➨ p = 12 kg. m/s

Hence,

• Momentum (p) is 12 kg. m/s