Question

newton’s 2nd law { f = m × a }
name: ______
calculate the missing variables using the necessary formula and rules.

force
f
f = m × a
newtons (n)

mass
m
m = f ÷ a
kilograms (kg)

acceleration
a
a = f ÷ m
metres per second squared (m/s²)

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 skyrocket is launched with a force of 10 n and accelerates at 20 m/s². what is the mass of this skyrocket?

a loaded coal wagon with a total mass of 20 000 kg is pushed by a force of 300 000 n. what was the wagon’s acceleration?

a theme park ride carriage with a mass of 1 000 kg needs to be accelerated at 0.5 m/s² along a track. what force is required to move the...

a 7.5 n force is applied to a football, generating an initial acceleration of 15 m/s². calculate the mass of the football

a spring balance is used to launch a 0.05 kg foam ball with a force of 5n. what acceleration is produced?

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Explanation:

First Problem (Water - filled balloon):

Step1: Identify formula for force

We use the formula \( F = m\times a \) where \( m = 1\space kg \) and \( a=2\space m/s^{2} \).

Step2: Substitute values into formula

Substitute \( m = 1\) and \( a = 2\) into \( F=m\times a \), we get \( F=1\times2 \).

Step1: Identify formula for mass

We use the formula \( m=\frac{F}{a} \) where \( F = 10\space N \) and \( a = 20\space m/s^{2} \).

Step2: Substitute values into formula

Substitute \( F = 10\) and \( a=20\) into \( m=\frac{F}{a} \), we get \( m=\frac{10}{20} \).

Step1: Identify formula for acceleration

We use the formula \( a=\frac{F}{m} \) where \( F = 300000\space N \) and \( m = 20000\space kg \).

Step2: Substitute values into formula

Substitute \( F = 300000\) and \( m = 20000\) into \( a=\frac{F}{m} \), we get \( a=\frac{300000}{20000} \).

Answer:

The force applied to the balloon is \( 2\space N \).

Second Problem (Skyrocket):