**Newton’s second law equation** states that the acceleration of an object directly depends upon the **net force** (F_{net}) applied on it and inversely depends upon the **mass** (m) of an object. Here’s the equation of newton’s second law: **a = F**_{net}**/m**

Let’s solve some problems based on this equation, so you’ll get a clear idea.

## Newton’s Second Law Practice Problems

**Problem 1:** A box of mass 2 kg slowly accelerates forward when a 4 N of net force is applied on it. At what rate does the box accelerate forward?

Solution:

Given data:

Mass of a box, m = 2 kg

Net force applied on a box, F_{net} = 4 N

Acceleration of a box, a = ?

Using the equation of newton’s second law,

a = F_{net}/m

a = 4/2

a = 2 m/s^{2}

Therefore, a box accelerates forward at the rate of **2 m/s ^{2}**.

**Problem 2:** Calculate the acceleration of a 12 kg wooden cart, when a 6 N of net force is applied on it.

Solution:

Given data:

Mass of a wooden cart, m = 12 kg

Net force applied on a wooden cart, F_{net} = 6 N

Acceleration of a wooden cart, a = ?

Using the equation of newton’s second law,

a = F_{net}/m

a = 6/12

a = 0.5 m/s^{2}

Therefore, the acceleration of a wooden cart is **0.5 m/s ^{2}**.

**Problem 3:** A 180 N of net force is applied on a 100 kg wagon. Calculate the acceleration of the wagon.

Solution:

Given data:

Net force applied on a wagon, F_{net} = 180 N

Mass of a wagon, m = 100 kg

Acceleration of a wagon, a = ?

Using the equation of newton’s second law,

a = F_{net}/m

a = 180/100

a = 1.8 m/s^{2}

Therefore, the acceleration of a wagon is **1.8 m/s ^{2}**.

**Problem 4:** What is the acceleration of a 400 kg horse cart when a 800 N of net force is applied on it?

Solution:

Given data:

Acceleration of a horse cart, a = ?

Mass of a horse cart, m = 400 kg

Net force applied on a horse cart, F_{net} = 800 N

Using the equation of newton’s second law,

a = F_{net}/m

a = 800/400

a = 2 m/s^{2}

Therefore, the acceleration of a horse cart is **2 m/s ^{2}**.

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**Related:**

- Newton’s Law of Universal Gravitation Formula
- Newton’s Law of Cooling Equation
- Coulomb’s Law Equation
- Snell’s Law Equation
- Ohm’s Law Equation
- Hooke’s Law Equation

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