a block of mass 100kg falls down a waterfall. the waterfall is 5m high. calculate: a) the potential energy of the block at the top of the waterfall. b) the kinetic energy of the block at the bottom of the waterfall. c) the magnitude of the velocity of the block at the bottom of the waterfall.

Respuesta :

(a) Potential energy can be calculated using the formulae

[tex]P= mgh[/tex]

where,

[tex]m[/tex] is the mass of block

[tex]g[/tex] is acceleration due to gravity

[tex]h[/tex] is height

Therefore,

[tex]P= (100)(9.8)(5)[/tex]

[tex]P=4900[/tex]

(b) Kinetic Energy can be calculated using the formulae

[tex]\frac{1}{2} mv^{2}[/tex]

for this velocity ([tex]v[/tex]) can be calculated using

[tex]v=\sqrt{2gh}[/tex]

[tex]v=\sqrt{(2)(9.8)(5)}[/tex]

[tex]v=9.899[/tex]

now,

[tex]k=\frac{1}{2}mv^{2}[/tex]

[tex]k=-\frac{1}{2}(100)(9.8)^{2}[/tex]

[tex]k=-5000J[/tex]

(c) Velocity ([tex]v[/tex]) can be calculated using

[tex]v=\sqrt{2gh}[/tex]

[tex]v=\sqrt{(2)(9.8)(5)}[/tex]

[tex]v=9.899[/tex]

What is Potential energy?

Potential energy is a type of energy that results from a change in position or state.

What is kinetic energy?

The kinetic energy of something is the amount of work it can do due to its motion.

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