Question

Calculate the kinetic energy of a body of mass 0.1 kg and momentum 20kg ms ^-1.

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Answer 1

Required answer:–

Given:-

• Momentum (p) = 20kg ms^-1

• Mass of body = 0.1kg

To find:-

• Calculate the kinetic energy

As we know:

$• \: K \: = \dfrac{1}{2} mv {}^{2}$

• p = mv

$• \: v \: = \dfrac{p}{m}$

Where:

• p = momentum

• k = kinetic energy

• v = velocity

• m = mass

Step by step explaination:-

Now using the value of v in the given equation....

That is,

$\bold\blue{k \: = \dfrac{1}{2}m \times ( \dfrac{p}{m}) {}^{2} = \: \dfrac{p {}^{2} }{2m} }$

Now substituting the values....

That is,

$\bold\blue{ \dfrac{20 {}^{2} }{2 \times 0.1} }$

$\bold\blue{ \dfrac{20 \times 20}{2 \times 0.1} }$

$\bold\blue{2000J}$

$\bold\blue{2 \times 10 {}^{3}J}$

Answer:

2 × 10³ J

Extra information:

• The energy possessed by a body due to its state of motion is called the kinetic energy.

• The kinetic energy possessed by a moving body is equal to the amount of work which the moving body can do before coming to rest.

• Kinetic energy depends upon square of its velocity of motion.

• A faster moving body has more kinetic energy than a slowly moving body

Answer 2

Answer:

Required answer:–

Given:-

• Momentum (p) = 20kg ms^-1

• Mass of body = 0.1kg

To find:-

• Calculate the kinetic energy

As we know:

• \: K \: = \dfrac{1}{2} mv {}^{2}•K=

2

1

mv

2

• p = mv

• \: v \: = \dfrac{p}{m}•v=

m

p

Where:

• p = momentum

• k = kinetic energy

• v = velocity

• m = mass

Step by step explaination:-

Now using the value of v in the given equation....

That is,

\bold\blue{k \: = \dfrac{1}{2}m \times ( \dfrac{p}{m}) {}^{2} = \: \dfrac{p {}^{2} }{2m} }k=

2

1

m×(

m

p

)

2

=

2m

p

2

Now substituting the values....

That is,

\bold\blue{ \dfrac{20 {}^{2} }{2 \times 0.1} }

2×0.1

20

2

\bold\blue{ \dfrac{20 \times 20}{2 \times 0.1} }

2×0.1

20×20

\bold\blue{2000J}2000J

\bold\blue{2 \times 10 {}^{3}J}2×10

3

J

Answer:

2 × 10³ J

Extra information:

• The energy possessed by a body due to its state of motion is called the kinetic energy.

• The kinetic energy possessed by a moving body is equal to the amount of work which the moving body can do before coming to rest.

• Kinetic energy depends upon square of its velocity of motion.

• A faster moving body has more kinetic energy than a slowly moving body

Explanation:

Hope it helps you

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