Math

QuestionIn this diagram, an object is represented by the circle and the arrows represent the forces acting on the object. How would the object be expected to behave if it starts out not moving? speed up moving to the right move to the left at a constant speed move to the right at a constant speed speed up moving to the left

Studdy Solution

STEP 1

What is this asking? If an object has a big force pushing it left and a small force pushing it right, and it starts not moving, what happens? Watch out! Don't just look at the arrows, think about what they *mean*!
Bigger arrows mean bigger forces!

STEP 2

1. Find the net force
2. Determine the resulting motion

STEP 3

Alright, so we've got this object just chillin', not moving.
But there are forces acting on it!
We've got a **300 N** force pushing it to the left and a **100 N** force pushing it to the right.

STEP 4

To figure out what the object will do, we need to find the **net force**.
Think of it like a tug-of-war.
If one team pulls harder, the rope moves in that direction, right?

STEP 5

Since the forces are acting in opposite directions, we **subtract** the smaller force from the bigger one.
So, we have 300 N100 N=200 N300 \text{ N} - 100 \text{ N} = 200 \text{ N}.

STEP 6

This **200 N** is our **net force**, and since the bigger force was pointing left, the net force is also to the **left**.

STEP 7

Now that we know the net force is **200 N** to the left, we can figure out how the object will move.
Newton's second law tells us that force equals mass times acceleration: F=maF = ma.

STEP 8

We don't know the mass of the object, but we *do* know there's a net force acting on it.
This means the object will **accelerate** in the direction of the net force, which is to the **left**.

STEP 9

Acceleration means the object's speed will change.
Since it starts at rest, it will **speed up** in the direction of the net force.

STEP 10

So, our object will **speed up** moving to the **left**!

STEP 11

The object will speed up moving to the left.

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