3. What is the force applied on a body with a mass of [tex]$5 \, \text{kg}$[/tex] and an acceleration of [tex][tex]$7 \, \text{m/s}^2$[/tex][/tex]?

A. 35 N
B. 5 N
C. [tex]$7 \, \text{N}$[/tex]
D. 0 N



Answer :

To determine the force applied to a body, we can use Newton's second law of motion, which states:

[tex]\[ F = m \cdot a \][/tex]

Where:
- [tex]\( F \)[/tex] is the force applied on the body.
- [tex]\( m \)[/tex] is the mass of the body.
- [tex]\( a \)[/tex] is the acceleration of the body.

Given:
- The mass [tex]\( m \)[/tex] is 5 kilograms.
- The acceleration [tex]\( a \)[/tex] is [tex]\( 7 \, \text{m/s}^2 \)[/tex].

We will now substitute these values into the formula:

[tex]\[ F = 5 \, \text{kg} \cdot 7 \, \text{m/s}^2 \][/tex]

Calculate the product:

[tex]\[ F = 35 \, \text{N} \][/tex]

Thus, the force applied on the body is 35 Newtons.

Therefore, the correct answer is:
a) 35 N
To find the force applied on a body, use Newton's second law of motion:

\[ F = m \cdot a \]

where:
- \( F \) is the force,
- \( m \) is the mass (5 kg),
- \( a \) is the acceleration (7 m/s²).

Substitute the given values:

\[ F = 5 \, \text{kg} \times 7 \, \text{m/s}^2 = 35 \, \text{N} \]

So, the force applied is 35 N.