A dirt bike rider and force calculation

How much force is needed to accelerate the rider and bike?

A dirt bike rider has a mass of 45 kg, and her dirt bike has a mass of 180 kg. If they need to be accelerated at 4m/s^2, how much force is required?

Calculation of Force for Rider and Bike Acceleration

The force required to accelerate the rider and dirt bike at 4 m/s^2 is 900 Newtons.

To calculate the force required to accelerate the rider and dirt bike, we can use Newton's second law of motion, which states that the force (F) acting on an object is equal to the product of its mass (m) and acceleration (a), or F = ma.

First, we need to calculate the total mass of the rider and the dirt bike, which is the sum of their individual masses.

Total mass = mass of rider + mass of bike

Total mass = 45 kg + 180 kg = 225 kg

Now, we can plug in the values of the total mass and acceleration into the equation to find the force.

F = ma

F = 225 kg x 4 m/s^2 = 900 N

Therefore, the force required to accelerate the rider and dirt bike at 4m/s^2 is 900 Newtons.