Question

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

Answer 1

23.51 m/s

Step-by-step explanation:

Parameters given:

Kinetic energy, K = 295 J

Momentum, p = 25.1 kgm/s

a) The kinetic energy of a body is given as:

where m = mass of the body and v = speed of the body

Answer 2

• 
  `\bf\pink{10\:m/s}`

Step-by-step explanation:

Given :-

• 
  `\sf\red{Mass \ of \ vehicle \ (m) = 100 \ kg}`
• 
  `\sf\orange{Kinetic \ energy \ (K.E.) = 5000 \ J}`

To Find :-

• 
  `\sf\green{Velocity\: of\: the \:vehicle \:at \:the \:instant}`

Formula to be used :-

• 
  `\sf\blue{K.E. = (1)/(2) mv^(2)}`

Where,

• K.E. = Kinetic energy possessed by the body
• M = Mass of the body
• V = Velocity of the body

Solution :-

`\to\:\:\sf\red{K.E. = (1)/(2)mv^(2)}`

`\to\:\:\sf\orange{5000 = (1)/(2) * 100 * v^(2)}`

`\to\:\:\sf\green{5000 = 50 * v^(2)}`

`\to\:\:\sf\blue{(5000)/(50) = v^(2)}`

`\to\:\:\sf\purple{100 = v^(2)}`

`\to\:\:\sf\red{√(100) = v}`

`\to\:\:\sf\orange{ 10 = v}`

`\to\:\:\bf\pink{v = 10\:m/s}`

• Velocity of the vehicle at the instant is
  `\bf\green{10\:m/s}`