Question

calculate the missing variables using the necessary formula and rules
force
f
f = m × a
newtons (n)
a water - filled balloon with an overall mass of 1 kg undergoes an acceleration of 2 m/s². how much force is being applied to the balloon?
a theme park ride carriage with a mass of 1000 kg needs to be accelerated at 0.5 m/s² along a track. what force is required to move the carriage?
mass
m
m = f ÷ a
kilograms (kg)
a skyrocket is launched with a force of 10 n and accelerates at 20 m/s². what is the mass of this skyrocket?
a 7.5 n force is applied to a football, generating an initial acceleration of 15 m/s². calculate the mass of the football.
acceleration
a
a = f ÷ m
metres per second squared (m/s²)
a loaded coal wagon with a total mass of 20000 kg is pushed by a force of 300000 n. what was the wagon’s acceleration?
a spring balance is used to launch a 0.05 kg foam ball with a force of 5n. what acceleration is produced?

Explanation:

Step1: Calculate force for water - filled balloon

Use formula $F = m\times a$. Given $m = 1\ kg$ and $a=2\ m/s^{2}$.
$F=1\times2 = 2\ N$

Step2: Calculate mass of sky - rocket

Use formula $m=\frac{F}{a}$. Given $F = 10\ N$ and $a = 20\ m/s^{2}$.
$m=\frac{10}{20}=0.5\ kg$

Step3: Calculate acceleration of coal wagon

Use formula $a=\frac{F}{m}$. Given $F = 300000\ N$ and $m = 20000\ kg$.
$a=\frac{300000}{20000}=15\ m/s^{2}$

Step4: Calculate force for theme - park ride carriage

Use formula $F = m\times a$. Given $m = 1000\ kg$ and $a = 0.5\ m/s^{2}$.
$F=1000\times0.5 = 500\ N$

Step5: Calculate mass of football

Use formula $m=\frac{F}{a}$. Given $F = 7.5\ N$ and $a = 15\ m/s^{2}$.
$m=\frac{7.5}{15}=0.5\ kg$

Step6: Calculate acceleration of foam ball

Use formula $a=\frac{F}{m}$. Given $F = 5\ N$ and $m = 0.05\ kg$.
$a=\frac{5}{0.05}=100\ m/s^{2}$

Answer:

1. Force on water - filled balloon: $2\ N$
2. Mass of sky - rocket: $0.5\ kg$
3. Acceleration of coal wagon: $15\ m/s^{2}$
4. Force on theme - park ride carriage: $500\ N$
5. Mass of football: $0.5\ kg$
6. Acceleration of foam ball: $100\ m/s^{2}$