To solve for the missing variable, we need to use the appropriate formulas.
F = ma
In this equation, F represents force, m represents mass, and a represents acceleration.
Given: F = 20 Newtons a = 0.5 meters
We can rearrange the equation to solve for mass: m = F / a
m = 20 Newtons / 0.5 meters
m = 40 kilograms
So, the mass is 40 kilograms.
Next, let's solve for time using the formula:
s = (1/2)at^2
In this equation, s represents distance or displacement, a represents acceleration, and t represents time.
Given: s = 2 centimeters (converted to meters, which is 0.02 meters) a = 0.5 meters
We can rearrange the equation to solve for time: t = √(2s / a)
t = √(2 * 0.02 meters / 0.5 meters)
t = √(0.04 / 0.5)
t = √0.08
t ≈ 0.2828 seconds
So, the time is approximately 0.2828 seconds.
