Question

Calculate the change in momentum of a car of mass 1500 kg when its speed increases from 18 km/h to 90 km/h uniformly

Answer 1

Answer:

30000 kgm/s

Explanation:

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Answer 2

Answer:

The change in momentum of a car of mass 1500 kg when its speed increases from 18 km/h to 90 km/h uniformly will be $30000$ kgm/s

Explanation:

The momentum of an object is given by,

$Momentum = mass\times velocity$

Or,

$P = mv$ ...(1)

Using the above equation,

Initial momentum  $(p_1)\ = mu$      ...(2)

Final momentum    $(p_2 )\ = mv$     ...(3)

Using equations (2) and (3),

The change in momentum ($\Delta P$) will be,

 $\Delta P = p_1 - p_2=\ mu - mv$

            $= m(v - u)$  ...(4)

Given,

Mass of the car (m) = $1500$ kg

Initial speed of the car  (u)      =  $18$ km/h

Final speed of the car  (v)       = $90$  km/h

Convert km/h into m/s by multiplying the velocity with $\frac{5}{18}$

$u = 18 \times \frac{5}{18}$ $= 5\ m/s$

$v = 90 \times \frac{5}{18}$$= 25\ m/s$

Substitutes the values into equation(2).

$\Delta P = \ 1500\times( 25 - 5 )$

        $= 30000$ kgm/s

So, the change in momentum of the car $= 30000$  kgm/s