Question

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 truck with an overall mass of 6500 kg is accelerating at 0.3 m/s². what force does the engine need to apply in order to do this?

a person is riding a bike and accelerating at 2.8 m/s² with a force of 100 n. what is the mass of the rider and bicycle?

a 35 kg child jumps on a trampoline on the moon and becomes airborne. they hit the trampoline safely with a force of 20 n. what was their downwards acceleration?

a carnival bumper car with a mass of 300 kg accelerates at 0.3 m/s² towards a wall. what is the force on the car before impact?

a boulder is dropped from a cliff and hits the ground. it’s acceleration was 9.81 m/s² and the force on the boulder was 300 n. find the mass of the boulder.

a 1300 kg tomahawk land attack missile erupts from the water, initially propelled by a solid propellant with a force of 400 000 n. what will be the acceleration due to this propellant?

Explanation:

First Problem (Truck Force Calculation)

Step1: Identify formula and values

We use \( F = m \times a \). Given \( m = 6500 \, \text{kg} \), \( a = 0.3 \, \text{m/s}^2 \).

Step2: Calculate force

\( F = 6500 \times 0.3 = 1950 \, \text{N} \)

Step1: Identify formula and values

We use \( m = \frac{F}{a} \). Given \( F = 100 \, \text{N} \), \( a = 2.8 \, \text{m/s}^2 \).

Step2: Calculate mass

\( m = \frac{100}{2.8} \approx 35.71 \, \text{kg} \)

Step1: Identify formula and values

We use \( a = \frac{F}{m} \). Given \( F = 20 \, \text{N} \), \( m = 35 \, \text{kg} \).

Step2: Calculate acceleration

\( a = \frac{20}{35} \approx 0.57 \, \text{m/s}^2 \)

Answer:

1950 Newtons

Second Problem (Bike Rider Mass Calculation)