Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

An [tex]$8 \, \text{kg}$[/tex] shopping cart is pushed, causing it to accelerate by [tex]$4 \, \text{m/s}^2$[/tex].

How much force was used to push the cart?

Use the equation below to calculate the answer.
[tex]\[ F = ma \][/tex]
[tex]\[ \text{Force} = \text{mass} \times \text{acceleration} \][/tex]

A. [tex]$2 \, \text{N}$[/tex]
B. [tex]$4 \, \text{N}$[/tex]
C. [tex]$12 \, \text{N}$[/tex]
D. [tex]$32 \, \text{N}$[/tex]


Sagot :

To solve this problem, we need to use Newton's Second Law of Motion, which states that the force applied to an object causes it to accelerate. Mathematically, this relationship is expressed as:

[tex]\[ F = ma \][/tex]

where:
- \( F \) is the force,
- \( m \) is the mass of the object, and
- \( a \) is the acceleration.

Given in the problem:
- The mass \( m \) of the shopping cart is \( 8 \) kg.
- The acceleration \( a \) is \( 4 \) m/s².

To find the force \( F \), we simply multiply the mass by the acceleration:

[tex]\[ F = 8 \, \text{kg} \times 4 \, \text{m/s}^2 \][/tex]

[tex]\[ F = 32 \, \text{N} \][/tex]

Hence, the force used to push the cart is \( 32 \) Newtons.

The correct answer is:

[tex]\[ 32 \, \text{N} \][/tex]