A spring scale shows a net force of 0.8 N acting on a 1.5-kg mass. What happens to the acceleration of the object if the net force is decreased to 0.2 N?(1 point)

Question

Responses

The acceleration decreases to a quarter of its original value, or about 2.13 m/s2.
The acceleration decreases to a quarter of its original value, or about 2.13 m/s 2 .

The acceleration decreases to a quarter of its original value, or about 0.13 m/s2.
The acceleration decreases to a quarter of its original value, or about 0.13 m/s 2 .

The acceleration increases to four times its original value, or about 0.13 m/s2.
The acceleration increases to four times its original value, or about 0.13 m/s 2 .

The acceleration increases to four times its original value, or about 2.13 m/s2.

Answer 1

To determine how the acceleration changes with different net forces acting on the object, we can use Newton's second law of motion, which states:

$$F_{\text{net}}=ma$$

Where:

• $F_{\text{net}}$ is the net force,
• $m$ is the mass,
• $a$ is the acceleration.

First, let's calculate the acceleration with the original net force of 0.8 N:

Given:

• $F_{\text{net}}=0.8,\text{N}$
• $m=1.5,\text{kg}$

Using the formula, we can solve for acceleration $a$:

$$a=\frac{F_{\text{net}}}{m}=\frac{0.8,\text{N}}{1.5,\text{kg}}=\frac{0.8}{1.5}\approx 0.533,{\text{m/s}}^2$$

Now, let's calculate the acceleration with the new net force of 0.2 N:

Given:

• $F_{\text{net}}=0.2,\text{N}$
• $m=1.5,\text{kg}$

Again using the formula, we can solve for the new acceleration $a$:

$$a=\frac{F_{\text{net}}}{m}=\frac{0.2,\text{N}}{1.5,\text{kg}}=\frac{0.2}{1.5}\approx 0.133,{\text{m/s}}^2$$

Now we can compare the two accelerations. The initial acceleration was approximately 0.533 m/s² and the new acceleration is approximately 0.133 m/s², which is indeed a quarter of the original acceleration:

$$0.133,{\text{m/s}}^2\approx \frac{0.533,{\text{m/s}}^2}{4}$$

Therefore, the correct response is:

The acceleration decreases to a quarter of its original value, or about 0.13 m/s².