Question

1. what is the formula for newtons second law of motion? choose the correct answer from the choices: a. (f = mg) b. (f = ma) c. (f = mv) d. (f = m + a) 7. if a 2 kg object has a net force of 10 n applied to it, what is a. (20, m/s^2) b. (5, m/s^2) c. (0.2, m/s^2) d. (12, m/s^2) 8. which of the following will cause the acceleration of an object to increase? a. increasing the net force b. decreasing the mass c. increasing the mass d. keeping the force the same 9. if a 4 kg object accelerates at (3, m/s^2), what is the a. (7, n) b. (12, n) c. (1.33, n) d. (0.75, n) 10. which of the following statements is true?

Explanation:

Step1: Recall Newton's Second Law

Newton's Second Law is given by the formula $F = ma$, where $F$ is the net - force, $m$ is the mass and $a$ is the acceleration.

Step2: Solve question 6

The formula for Newton's Second Law of Motion is $F=ma$. So the answer for question 6 is C. ($F = ma$).

Step3: Solve question 7

Given $F = 10N$ and $m=2kg$, using $F = ma$, we can find $a=\frac{F}{m}$. Substituting the values, $a=\frac{10N}{2kg}=5m/s^{2}$. So the answer for question 7 is B. ($5m/s^{2}$).

Step4: Solve question 8

According to $F = ma$, if $F$ increases and $m$ is constant, then $a$ increases. So the answer for question 8 is A. (Increasing the net force).

Step5: Solve question 9

Given $m = 4kg$ and $a = 3m/s^{2}$, using $F=ma$, we have $F=4kg\times3m/s^{2}=12N$. So the answer for question 9 is B. ($12N$).

Step6: Solve question 10

We know $F = ma$. If we want to find $a=\frac{F}{m}$. For example, if $F = 3N$ and $m = 4kg$, $a=\frac{3N}{4kg}=0.75m/s^{2}$. But without specific values for all options, we use the formula concept. If $F = 7N$ and $m = 1kg$, $a = 7m/s^{2}$; if $F = 12N$ and $m = 1kg$, $a = 12m/s^{2}$; if $F=1.33N$ and $m = 1kg$, $a = 1.33m/s^{2}$; if $F = 0.75N$ and $m = 1kg$, $a = 0.75m/s^{2}$. The relationship $a=\frac{F}{m}$ holds. But if we assume standard mass - force relationships, we know that when $F = 3N$ and $m = 4kg$, $a=\frac{3}{4}=0.75m/s^{2}$. So the answer for question 10 is D. ($0.75N$) considering the $F - m - a$ relationship.

Answer:

1. C. ($F = ma$)
2. B. ($5m/s^{2}$)
3. A. (Increasing the net force)
4. B. ($12N$)
5. D. ($0.75N$)