Question

An object of mass 100kg is accelerated uniformly from a velocity of 10m/s to 15m/s in 5s.

Calculate the initial and final momentum of the object. Also find the magnitude of force exerted

on the object.​

Answer 1

Answer:

100N

Explanation:

Symbols have their usual meaning. Here,

u = 10m/s   ;  v = 15m/s  ; t = 5 s

Therefore,

⇒ Acceleration = (15 - 10)/5

                          = 1 m/s^2

Hence,

force = mass * accel.

         = 100 kg * 1 m/s^2

         = 100 N

Answer 2

${\huge{\bf{\orange{Solution:-}}}}$

Given:-

→ An object of mass 100kg is accelerated uniformly from a velocity of 10m/s to 15m/s in 5s.

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Find:-

→ Calculate the initial and final momentum of the object. Also find the magnitude of force exerted

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Using formula:-

★ ${\boxed{\sf{Acceleration = \dfrac{Final - Initial}{Time}}}}$ ★

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★ ${\boxed{\bold{Force = Mass \times Acceleration}}}$ ★

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Calculations:-

→ $\sf{Acceleration = \dfrac{15 - 10}{5}}$

→ $\sf{Acceleration = \dfrac{5}{5}}$

→ ${\boxed{\bold{Acceleration = 1 \: m/s^{2}}}}$

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Therefore, 1 m/s² is the acceleration.

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Using the above values, we get:-

→ $\sf{Force = 100 \times 1}$

→ ${\boxed{\bold{Force = 100 \: N}}}$

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Therefore, 100 N is the magnitude of force exerted.