Question

16. An object of mass 100 kg is accelerated uniformly from a velocity of 5 ms–1 to 8 ms–1 in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.​

Answer 1

Answer:

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Answer 2

Answer:

• $Initial \ velocity = 500\:kg\:m/s$

• $Final \ velocity = 800\:kg\:m/s$

• $Force = 50\:N$

Explanation:

$Given:-$

• Mass = 100 kg

• Initial velocity = 5 m/s

• Final velocity = 8 m/s

• Time = 6 seconds

$ToFind:-$

• Initial momentum

• Final momentum

• Force

$Solution :-$

$Initial \ momentum=mass\times velocity$

$\implies \:\:100 \times5$

$\implies \:\: 500\:kg\:m/s$

$Final \ momentum = mass \times final \ velocity$

$\implies \:\:100 \times 8$

$\implies \:\: 800\:kg\:m/s$

F = m × a

$\implies \:\: a = \dfrac{v-u}{t}$

$\implies \:\: a = \dfrac{8-5}{6}$

$\implies \:\: a = \dfrac{3}{6}$

$\implies \:\: a = 0.5m/s^2$

Force = mass × acceleration

$\implies \:\:Force = 100\times 0.5$

$\implies \:\:Force = 50\:N$