Question

1. a cart has a mass of 100 kg and accelerates at 2 m/s². what force is required? (hint: f = m×a) 3. circle the correct statement: - a) more force = less acceleration - b) more mass = less acceleration with same force - c) mass doesn’t affect acceleration 4. in your own words: what does it mean for a force to be “unbalanced”?

Explanation:

Step1: Identify the formula

We use Newton's second - law $F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration.

Step2: Substitute the given values

Given $m = 100\ kg$ and $a=2\ m/s^{2}$, then $F=100\times2$.

Step3: Calculate the force

$F = 200\ N$.

For question 3:

• According to Newton's second - law $F = ma$, or $a=\frac{F}{m}$. When $F$ is constant, an increase in $m$ leads to a decrease in $a$. So the correct statement is "More mass = less acceleration with same force".

For question 4:
An unbalanced force means that the net force acting on an object is not zero. When there is an unbalanced force on an object, the object will accelerate (change its speed or direction or both) according to Newton's second - law.

Answer:

1. $200\ N$
2. b) More mass = less acceleration with same force
3. An unbalanced force means the net force on an object is non - zero, causing the object to accelerate.