Question

A vehicle of mass 100kg has a kinetic energy of 5000 J at an instant. The velocity at that instant is​

Answer 1

Answer :

• Velocity of the vehicle at the instant is 10 m/s².

Explanation :

Given :

• Mass of the vehicle, m = 100 kg
• Kinetic energy possessed by the vehicle at an instant, K.E. = 5000 J.

To find :

• Velocity of the vehicle at the instant, v = ?

Knowledge required :

In simple definition, Kinetic energy possessed by a body is the half of the product of the mass and the square of the velocity of a body.

So,

⠀⠀⠀⠀⠀⠀⠀⠀⠀K.E. = ½mv²

Where :

• K.E. = Kinetic energy possessed by the body.
• m = Mass of the body
• v = Velocity of the body

Solution :

By using the formula for Kinetic energy possessed by a body and substituting the values in it, we get :

⠀⠀=> K.E. = ½mv²

⠀⠀=> 5000 = ½ × 100 × v²

⠀⠀=> 5000 = 50 × v²

⠀⠀=> 5000/50 = v²

⠀⠀=> 100 = v²

⠀⠀=> √100 = v

⠀⠀=> 10 = v

⠀⠀⠀⠀⠀∴ v = 10 m/s

Therefore,

• Velocity of the vehicle at the instant, v = 10 m/s²

Answer 2

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A vehicle of mass 100kg has a kinetic energy of 5000 J at an instant. The velocity at that instant is

$\huge\mathbb\red{Answér}$

Given,

•Kinetic energy possessed by the vehicle at an instant K.E point = 5000 J

To find

Velocity of the vehicle at the instant v=¿???

Extra Information

In physics, the kinetic energy (KE) of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest.

so,K.E=½mv²

Where,

K.E=kinetic energy possessed by the body.

M=Mass of the body.

V=Velocity of the body.

Solution,,

=K.E=½mv²

=5000=½×100×v²

=5000=50×v²

=5000/50=v²

=100=v²

=√100=v

=10=v

=v=10m/s m