4 215 g particle is released from rest at point A inside a smooth hemispherical bowl of radius 30.0 cm, as shown at right
Caloulate the following:
PE=215x9.8 x 30
a. the gravitational potential energy at a relative to B
b. the particle's kinetic energy at B
o the particle's speed at B

d. the potential energy and kinetic energy at C



Answer :

We have that for the Questions

a the gravitational potential energy at a relative to B

b. the particle's kinetic energy at B

c the particle's speed at B

d. the potential energy and kinetic energy at C

it can be said that

a)P.E=0.63210Js

b)K.E=0.63210J

c)v=2.420m/s

d)K.E=0.5mv^2

P.E=mgh

From the question we are told

215 g particle is released from rest at point A inside a smooth hemispherical bowl of radius 30.0 cm, as shown at right

Gravitational potential energy

a)

Generally the equation for the  gravitational potential energy   is mathematically given as

P.E=mgh

P.E=0.215x9.8 x 0.3

P.E=0.63210J

kinetic energy

b)

Generally the equation for the   kinetic energy  is mathematically given as

K.E=0.5mv^2

Where

P.E=K.E at point B

Therefore

K.E=0.63J

Particle's speed

c)

Generally the equation for the  speed   is mathematically given as

[tex]v=\sqrt{\frac{0.63}{0.5m}}[/tex]

v=2.420m/s

Potential energy and kinetic energy at C

d)

The potential energy and kinetic energy at C

Will be given by the equation

K.E=0.5mv^2

P.E=mgh

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