Question

Q48: Find the velocity of a body of mass 100 gm having a kinetic energy
of 20 J.*​

Answer 1

Explanation,

Given,

• Mass of a body (m) = 100 gm
• Kinetic energy of a body (K.E) = 20 J

To Find,

• The velocity of a body.

Solution,

Firstly, convert gram into kg.

⟹ Mass (m) = 200 gram

⟹ m = 200/1000

⟹ m = 0.2 kg

Applying kinetic energy formula,

K.E = ¹/2 × mv²

Where,

• K.E denotes kinetic energy.
• m denotes mass.
• v denotes velocity.

[ Put the values ]

⟹ 20 = ¹/2 × 0.2 × v²

⟹ 20 = 0.1 × v²

⟹ v² = 20/0.1

⟹ v² = 200

⟹ v = 14.1 m/s

Therefore,

The velocity of a body is 14.1 m/s.

Answer 2

$\huge\mathcal\colorbox{pink}{{\color{black}{★ANSWER★}}}$

$\huge\color{pink}{\textbf{\textsf{GIVEN :-}}}$

• Mass of the body (m) = 100 gm
• Kinetic energy of the body (K.E) = 20J

$\huge\color{pink}{\textbf{\textsf{TO FIND :-}}}$

• The velocity of the body.

$\huge\color{pink}{\textbf{\textsf{SOLUTION :-}}}$

Converting units,

→ Mass (m) = 200 gm

→ m = 200/1000

→ m = 0.2 kg

Applying kinetic energy formula,

K.E = 1/2 mv²

→ 20 = 1/2 × 0.2 × v²

→ 20 = 0.1 × v²

→ v² = 20/0.1

→ v² = 200

→ v = 14.1 m/s

Hence, the velocity of the body is 14.1 m/s.

Hope it Helps Buddy ❤️