Question

The car which is having a mass of 1000 kg accelerates further when a force of 4500 N is exerted on it. At

what rate the car will accelerate further?​

Answer 1

Answer :

• The acceleration of the car is 4.5 m/s².

Given :

• The car which is having a mass of 1000 kg accelerates further when a force of 4500 N is exerted on it.

To Find :

• Acceleration = ?

Solution :

Finding the acceleration of the car :

→ F = ma

[ Where, m is the mass , F is the force exerted , a is the acceleration ]

From the question we have :

• Mass = 1000 kg
• Force = 4500 N

Substituting the given values in above formula :

→ 4500 = 1000 × a

→ 4500 ÷ 1000 = a

→ 45 ÷ 10 = a

→ a = 45 ÷ 10

→ a = 4.5 m/s²

• Hence,the acceleration of the car is 4.5 m/s².

★ Extra information :-

• Acceleration is rate of change of velocity per unit time.
• Acceleration is a vector quantity.
• The S.I unit of acceleration is m/s².
• The direction of acceleration is along the velocity only if the velocity increases and if velocity decreases the direction of acceleration is opposite to velocity.

Answer 2

Answer:

Rate of Acceleration = 4.5 m/s²

Explanation:

Given :

• Mass of Car = 1000 kg

• Force exerted = 4500 N

To find :

• Acceleration of Car = ?

Solution :

According to Newton's Second Law of motion ,

Force = mass × Acceleration ( f = ma ) and then, Acceleration is the force exerted divided by Mass.

⟶ F = m × a

⟶ 4500 N = 1000 kg × a

⟶ 4500 / 1000 = a

⟶ a = 4500 / 1000

⟶ a = 4.5

______________

Acceleration = f / a

⟶ A = 4500 / 1000

⟶ 4500 / 1000 = 4.5

⟶ a = 4.5

• Unit of Acceleration = m/s²

So, Acceleration of the car = 4.5 m/s²

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