Question

A body of mass 5 kg remains at rest if a force of 5 N is application the body for 10s. What will be its final velocity?​

Answer 1

Given :

• Mass of a body, m = 5 kg
• Initial velocity, u = 0 m/s (as it is at rest)
• Force, F = 5 N
• Time taken, t = 10 seconds

To find :

• Final velocity, v

According to the question,

➞ Force = Mass × Acceleration

Or,

➞ F = ma

➞ 5 = 5 × a

➞ 5 ÷ 5 = a

➞ 1 = a

• So, the acceleration is 1 m/s².

➞ v = u + at

Where,

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• t = Time taken

➞ Substituting the values,

➞ v = 0 + 1 × 10

➞ v = 0 + 10

➞ v = 10

• So, the final velocity is 10 m/s.

____________________

Answer 2

Answer:

Given :-

• A body of mass is 5 kg remains at rest if a force of 5 N is application the body of 10 seconds.

To Find :-

• What is the final velocity.

Formula Used :-

❶ To find acceleration,

★ F = ma ★

where,

• F = Force
• m = Mass
• a = Acceleration

❷ To find final velocity,

✰ v = u + at ✰

where,

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• t = Time

Solution :-

❶ First we have to find the acceleration,

Given :

• Mass = 5 kg
• Force = 5 N

According to the question by using the formula we get,

⇒ 5 = 5 × a

⇒ 5 ÷ 5 = a

⇒ 1 = a

➠ a = 1 m/s²

Hence, the acceleration is 1 m/s² .

❷ Now we have to find the final velocity,

Given :

• Acceleration = 1 m/s
• Initial velocity = 0 m/s
• Time = 10 seconds

According to the question by using the formula we get,

↦ v = 0 + 1(10)

↦ v = 0 + 10

➦ v = 10 m/s

∴ The final velocity is 10 m/s .