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How high would you have to lift a 1000kg car to give it a potential energy of:

(a) 2.0 x 103 J (b) 2.0 x 105 J (c) 1.0 kJ

Respuesta :

quasarJose

Given parameters:

Mass of the car = 1000kg

Unknown:

Height  = ?

To find the heights for the different amount potential energy given, we need to understand what potential energy is.

Potential energy is the energy at rest due to the position of a body.

 It is mathematically expressed as:

          P.E  = mgh

m is the mass

g is the acceleration due to gravity = 9.8m/s²

h is the height of the car

Now the unknown is h, height and we make it the subject of the expression to make for easy calculation.

               h = [tex]\frac{P.E }{mg}[/tex]

For 2.0 x 10³ J;

                  h  = [tex]\frac{2000}{1000 x 9.8}[/tex]   = 0.204m

For 2.0 x 10⁵ J;

                  h  = [tex]\frac{200000}{9.8 x 1000}[/tex]   = 20.4m

For 1.0kJ  = 1 x 10³J;

                  h  = [tex]\frac{1000}{9.8 x 1000}[/tex]   = 0.102m

   

The height of 1000 kg of  a car that give a potential energy of   2.0 x 10³ J , 2.0 x 10⁵ J  and 1.0 kJ are 0.204 m , 20.408 m and 0.102 m respectively.

The potential energy of a body is the energy attained at a position. Therefore,

potential energy = mgh

where

m = mass

h = height

g = 9.8m/s (acceleration due to gravity)

a.

h = P.E / mg

h = 2.0 × 10³ / 1000 × 9.8

h = 2000/9800 = 0.20408163265

h = 0.204 m

b.

h = 2.0 × 10⁵ / 1000 × 9.8

h = 20.4081632653

h = 20.408 m

c.

1.0 kj = 1000 j

h = 1000 / 1000 × 9.8

h = 0.10204081632

h = 0.102 m

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