Question

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

1. 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.

1. 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

Explanation:

Question 1

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.

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.

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:

C. $F = ma$

Question 2