Question

75. A body is executing simple harmonic motion. At a displacement x from mean position, its potential energy is E, 2J and at a displacement y from mean position, its potential energy is E₂ 8J. The potential energy E (in Joule) at a displacement (x + y) from mean position is​

Answer 1

Answer:

Given :-

A particle is describing uniform circular motion on a circle of radius of 5 cm with speed of 10 cm/s.

To Find :-

What is the centripetal acceleration.

Formula Used :-

\clubsuit♣ Centripetal Acceleration Formula :

\begin{gathered}\longmapsto \sf\boxed{\bold{\pink{a_c =\: \dfrac{v^2}{r}}}}\\\end{gathered}

⟼

a

c

=

r

v

2

where,

\sf a_ca

c

= Centripetal Acceleration

v = Velocity or Speed

r = Radius

Solution :-

Given :

Speed = 10 cm/s

Radius = 5 cm

According to the question by using the formula we get,

\dashrightarrow \sf a_c =\: \dfrac{(10)^2}{5}⇢a

c

=

5

(10)

2

\dashrightarrow \sf a_c =\: \dfrac{10 \times 10}{5}⇢a

c

=

5

10×10

\dashrightarrow \sf a_c =\: \dfrac{\cancel{100}}{\cancel{5}}⇢a

c

=

5

100

\dashrightarrow \sf a_c =\: \dfrac{20}{1}⇢a

c

=

1

20

\dashrightarrow \sf\bold{\red{a_c =\: 20\: cm/s^2}}⇢a

c

=20cm/s

2

\therefore∴ The centripetal acceleration is 20 cm/s².

Hence, the correct options is option no (D) 20 cm/s².

Answer 2

$\Huge\bf\underbrace{\underline \rightarrow{\red { Aиѕωєя☛ }}} \dag$

Answer:

Given :-

A particle is describing uniform circular motion on a circle of radius of 5 cm with speed of 10 cm/s.

To Find :-

What is the centripetal acceleration.

Formula Used :-

\clubsuit♣ Centripetal Acceleration Formula :

\begin{gathered}\longmapsto \sf\boxed{\bold{\pink{a_c =\: \dfrac{v^2}{r}}}}\\\end{gathered}

⟼

a

c

=

r

v

2

where,

\sf a_ca

c

= Centripetal Acceleration

v = Velocity or Speed

r = Radius

Solution :-

Given :

Speed = 10 cm/s

Radius = 5 cm

According to the question by using the formula we get,

\dashrightarrow \sf a_c =\: \dfrac{(10)^2}{5}⇢a

c

=

5

(10)

2

\dashrightarrow \sf a_c =\: \dfrac{10 \times 10}{5}⇢a

c

=

5

10×10

\dashrightarrow \sf a_c =\: \dfrac{\cancel{100}}{\cancel{5}}⇢a

c

=

5

100

\dashrightarrow \sf a_c =\: \dfrac{20}{1}⇢a

c

=

1

20

\dashrightarrow \sf\bold{\red{a_c =\: 20\: cm/s^2}}⇢a

c

=20cm/s

2

\therefore∴ The centripetal acceleration is 20 cm/s².

Hence, the correct options is option no (D) 20 cm/s².