Question

An object 200g mass is initially moving with speed of 18km/h. It travels with the constant acceleration of 2m/s². After travelling 50m. Find out change in its momentum​

Answer 1

Answer:

change in momentum=1

Explanation:

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Answer 2

Given:-

→ Mass of the object = 200g = 0.2kg

→ Initial speed of the object = 18km/h

→ Acceleration = 2m/s²

→ Distance travelled = 50m

To find:-

→ Change in momentum of the object

Solution:-

Firstly, let's convert the initial speed of the object from km/h to m/s.

=> 1km/h = 5/18m/s

=> 18km/h = 5/18×18

=> 5m/s

Now, let's calculate the final speed of the object by using the 3rd equation of motion :-

=> v² - u² = 2as

=> v² - (5)² = 2×2×50

=> v² - 25 = 200

=> v² = 200 + 25

=> v² = 225

=> v = √225

=> v = 15m/s

Hence, final speed of the object is 15m/s .

Now we know that:-

Change in momentum [∆p] :-

= mv-mu

= m(v-u)

=> ∆p = 0.2(15 - 5)

=> ∆p = 0.2(10)

=> ∆p = 2 kg m/s

Thus, change in momentum of the object is 2 kg m/s .