assess it! part 1
1. what is the formula for newton’s 2nd law?
a. m = fa
b. a = fm
c. f = ma
d. f = m/a
2. which of the following statements about the law of acceleration is true?
a. increasing an object’s mass decreases the amount of force required to move it.
b. decreasing the mass of an object increases its acceleration while force is constant.
c. increasing the force applied to an object does not change its acceleration while mass is constant.
d. decreasing the force applied to an object increases its acceleration while mass is constant.
3. solve for acceleration: you apply 20 n of force to a 5 kg bowling ball.
a. ¼ m/s²
b. 4 m/s²
c. 25 m/s²
d. 100 m/s²

Question

Accepted Answer

### Question 1
# Brief Explanations:
Newton's 2nd Law states that force ($F$) is equal to mass ($m$) multiplied by acceleration ($a$), so the formula is $F = ma$. Option A ($m = Fa$) is incorrect. Option B ($a = Fm$) is incorrect as it should be $a=\frac{F}{m}$. Option D ($F = m/a$) is incorrect. Only option C ($F = ma$) matches the law.
# Answer:
C. $F = ma$

### Question 2
# Brief Explanations:
The Law of Acceleration (Newton's 2nd Law, $F = ma$) shows the relationship between force, mass, and acceleration. If force is constant and mass increases, acceleration decreases (since $a=\frac{F}{m}$). Option A: If mass decreases, force required to move it (at same acceleration) decreases, not increases. Option B: Increasing mass with constant force decreases acceleration, not increases. Option D: Decreasing force with constant mass decreases acceleration, not increases. Option C: If force increases and mass is constant, from $a=\frac{F}{m}$, acceleration increases. This is correct.
# Answer:
C. Increasing the force applied to an object does not change its acceleration while mass is constant. (Note: Wait, correction—actually, from $F = ma$, if $F$ increases and $m$ is constant, $a$ increases. So the correct reasoning is: The Law of Acceleration is $F = ma$ (or $a=\frac{F}{m}$). So when force ($F$) increases and mass ($m$) is constant, acceleration ($a$) increases. So option C's description is correct as "Increasing the force applied to an object does not change its acceleration while mass is constant" is wrong? Wait, no—wait the options:

Wait the options:

A. Increasing an object’s mass decreases the amount of force required to move it. (Wrong, $F = ma$—to move at same acceleration, if $m$ increases, $F$ must increase.)

B. Decreasing the mass of an object increases its acceleration while force is constant. (From $a=\frac{F}{m}$, if $m$ decreases and $F$ is constant, $a$ increases. So this is correct? Wait no, the original option B: "Decreasing the mass of an object increases its acceleration while force is constant." Let's re - evaluate.

Wait the user's options:

A. Increasing an object’s mass decreases the amount of force required to move it.

B. Decreasing the mass of an object increases its acceleration while force is constant.

C. Increasing the force applied to an object does not change its acceleration while mass is constant.

D. Decreasing the force applied to an object increases its acceleration while mass is constant.

From $a=\frac{F}{m}$:

- For option B: If $F$ is constant and $m$ decreases, $a$ increases. So this is correct. But earlier I thought option C was correct—my mistake. Wait no, let's check again.

Wait the problem says "Which of the following statements about the Law of Acceleration is true?"

Law of Acceleration: $F = ma$ or $a=\frac{F}{m}$.

Option A: If mass increases, to get the same acceleration, force must increase (since $F = ma$). So "decreases the amount of force required" is wrong.

Option B: If force is constant, and mass decreases, then $a=\frac{F}{m}$—so $a$ increases. So this is correct.

Option C: If force increases and mass is constant, $a=\frac{F}{m}$—so $a$ increases. So "does not change its acceleration" is wrong.

Option D: If force decreases and mass is constant, $a=\frac{F}{m}$—so $a$ decreases. So "increases its acceleration" is wrong.

So the correct answer should be B? Wait I made a mistake earlier. Let's re - do:

From $a=\frac{F}{m}$, when $F$ is constant:

- If $m$ decreases, $a$ increases (so option B is correct: "Decreasing the mass of an object increases its acceleration while force is constant.")

When $m$ is constant:

- If $F$ increases, $a$ increases (so option C's "does not change" is wrong)

- If $F$ decreases, $a$ decreases (so option D's "increases" is wrong)

For option A: If $m$ increases, to have the same $a$, $F$ must increase (since $F = ma$), so "decreases the amount of force" is wrong.

So correct answer is B.

Wait the original option B: "Decreasing the mass of an object increases its acceleration while force is constant." This is correct because $a=\frac{F}{m}$—constant $F$, smaller $m$ means larger $a$.

So my earlier mistake—so the correct answer is B.

# Answer:
B. Decreasing the mass of an object increases its acceleration while force is constant.

### Question 3
# Explanation:
## Step1: Recall the formula for acceleration from Newton's 2nd Law.
The formula is $a=\frac{F}{m}$, where $F$ is force, $m$ is mass, and $a$ is acceleration.
## Step2: Substitute the given values.
We are given $F = 20\ N$ and $m = 5\ kg$. Substitute into the formula: $a=\frac{20\ N}{5\ kg}$.
## Step3: Calculate the result.
$\frac{20}{5}=4$, so the acceleration $a = 4\ m/s^{2}$.
# Answer:
B. $4\ m/s^{2}$

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QUESTION IMAGE

Question

Explanation:

Question 1

Step1: Recall the formula for acceleration from Newton's 2nd Law.

Step2: Substitute the given values.

Step3: Calculate the result.

Answer:

Question 2