Question

Q1 Two bodies A and B of equal masses are are kept at heights h and 2h, respectively. What will be the ratio of their potential energy?

Q2 Is potential energy a vector quantity?

Q3 A ball of mass 200 g falls from a height of 5 m. What is its kinetic enrgy when it just reaches the ground? (g = 9.8 m/s2)

Answer 1

$\bigstar$  Question 1  $\bigstar$

Two bodies A and B of equal masses are are kept at heights h and 2h, respectively. What will be the ratio of their potential energy ?

$\infty$  Answer 1  $\infty$

Body A

Mass = 'm'

g = 10 m/s

Height = 'h'

E$\mathsf{_p}$ = mgh

Body B

Mass = 'm'

g = 10 m/s

Height = 2h

E$\mathsf{_p}$ = mg × 2h

Dividing The Potential Energies of A and B

= $\mathsf{\frac{mgh}{mg\ 2h}}$

'm' gets cancelled.

'g' gets cancelled.

= $\mathsf{\frac{h}{2h}}$

'h' gets cancelled.

= $\mathsf{\frac{1}{2}}$

= 1 : 2

Therefore the ratio of the Potential energies of A and B is 1:2

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$\bigstar$  Question 2  $\bigstar$

Is potential energy a vector quantity?

$\infty$  Answer 2  $\infty$

Before figuring out if Potential energy is a vector quantity or not, lets first get the meaning of Both.

Potential Energy

Potential energy is the energy possesed by a body, due to its change in position or shape.

Vector Quantity

A quantity which has both magnitude and direction is called vector quantity. Eg: Velocity, Weight.

Potential energy does not have direction,

Therefore Potential Energy is not a Vector Quantity. It is a Scalar Quantity.

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$\bigstar$  Question 3  $\bigstar$

A ball of mass 200 g falls from a height of 5 m. What is its kinetic enrgy when it just reaches the ground? (g = 9.8 m/s2)

$\infty$  Answer 3 $\infty$

Given

m = 200g

   = 0.2 kg

g = 9.8 m/s

h = 5

Solution

E$\mathsf{_p}$ = mgh

E$\mathsf{_p}$ = 0.2 × 9.8 × 5

E$\mathsf{_p}$ = 9.8 J

E$\mathsf{_p}$ at the top most point = E$\mathsf{_k}$ at the bottom most point.

[Law of Conservation of Energy ↑]

⇒ E$\mathsf{_k}$ = 9.8 J

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Refer https://brainly.in/question/7432823 for Verification of Law Of Conservation Of Energy.

Answer 2

Answer:

hey here your answer :

Q.1 Two bodies A and B of equal masses are are kept at heights h and 2h, respectively. What will be the ratio of their potential energy

Answer:

Mass of first body = Mass of second body

ie : Ma= Mb

Heights = h and 2h respectively

Now :

$\frac{p.ea}{p.eb}$

$= \frac{mgh}{mg2h}$

$= \frac{1}{2}$

=1:2

Q.2 Is quantity potential energy a vector?

Answer:

Potential energy is a scalar quantity as it has magnitude only.

Q.3 A ball of mass 200 g falls from a height of 5 m. What is its kinetic enrgy when it just reaches the ground? (g = 9.8 m/s2)

$e_{p} = mgh$

$e_{p} = 0.2 \times 9.8 \times 5$

$e_{p} =9.8 j$

law conversation of energy

$e_{k} = 9.8j$

hope it's help you

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