Question

A vehicle of mass 1000 kg has a kinetic energy of 20000 J at an instant. The velocity at that instant is

Answer 1

Answer:

it is given that vehicle of mass , M = 1000 kg has a kinetic energy of K.E = 20000 J at an instant. we have to find the velocity of vehicle at that instant. therefore, velocity of vehicle at that instant is 6.32 m/s.

Explanation:

we know, kinetic energy, K.E = 1/2 mv²

⇒ 20000 = 1/2 × 1000 × v²

⇒ 40000 = 1000 v²

⇒v² = 40

⇒v = √40 m/s

⇒v = 6.32 m/s

therefore, velocity of vehicle at that instant is 6.32 m/s.

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Answer 2

2√10 m/s

Explanation:

K = 1/2mv^2

20,000 = 1/2 × 1000 × v^2

20,000 × 2/1 =v^2

1,000

40 = v^2

v =

$\sqrt{40}$

v =

$2 \sqrt{10}$

Hence,veloctiy is equal to 2√10 m/s