The speed of a car weighing 1300 kg increases from 36 km/h to 72 km/h uniformly. What will be the change in momentum of the car? *
a] 13000 kg km/h
b] 13000 kg m/s
c] 36000 kg m/s
d] 36000 g m/s
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The speed of a car weighing 1300 kg increases from 36 km/h to 72 km/h uniformly. What will be the change in momentum of the car? *
a] 13000 kg km/h
b] 13000 kg m/s
c] 36000 kg m/s
d] 36000 g m/s
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[tex]\huge{\underline{\underline{\tt{\pink{Given}}}}}\:[/tex]
The speed of a car weighing 1300 kg increases from 36 km/h to 72 km/h uniformly.
[tex]\huge{\underline{\underline{\tt{\blue{To\: Find}}}}}\:[/tex]
What will be the change in momentum of the car?
[tex]\huge{\underline{\underline{\tt{\red{Solution}}}}}\:[/tex]
Mass of the car [tex]{\boxed{\green{=\: 1300 \:kg}}}[/tex]
Intial velocity [tex]{\boxed{\green{\: = \:36\: km / h}}}[/tex]
Final velocity [tex]{\boxed{\green{=\: 72\: km / h}}}[/tex]
We know that Momentum = p = mv
where , p = momentum
m = the mass
v = velocity
Change in momentum = mv - mu
= 1300 × 72 - 1300 × 36
= 1300 ( 72 - 36 )
= 1300 × 36
[tex]{\boxed{\orange{= \:46800 \:kg \:km / h }}}[/tex]
Converting units km / h into m / s
[tex]\implies\:46800\:\times\:\dfrac{5}{18}[/tex]
[tex]\implies\:\dfrac{234000}{18}[/tex]
[tex]{\boxed{\purple{13000\:kg\:m/s}}}[/tex]