Answer:
Yo, so if there's an unbalanced force of 32 newtons pushing on an 8.0-kilogram object, this thing is gonna speed up, right? It's gonna increase its velocity by 4 m/s every second. That's how it's rollin'!
Explanation:
You've got this force of 32 newtons pushing on an object that weighs 8.0 kilograms, right? This is all about Newton's second law of motion, which is basically like the rulebook for how stuff moves when forces are involved.
Newton's law says: Force = Mass × Acceleration. It's like the formula for figuring out how stuff is gonna move.
So, here's the math part:
1. You've got your force (32 newtons).
2. You've got your mass (8.0 kilograms).
Now, you want to find the acceleration. That's how fast the object's speed is changing. To get this, you just rearrange the formula: Acceleration = Force ÷ Mass.
Plug in your numbers:
Acceleration = 32 newtons ÷ 8.0 kilograms = 4 m/s².
What this means is that the object's speed is gonna increase by 4 meters per second (m/s) every second as long as that force keeps pushing it. So, if it starts at 0 m/s, after 1 second, it'll be going 4 m/s, then 8 m/s after 2 seconds, and so on. It's like the object is hitting the gas pedal harder every second, getting faster and faster.
Hope that helps you get it!