How Does a Motorcycle Exert Force Backward to Accelerate?

[whereitsbeen]

Homework Statement

A 245 kg motorcyle & rider can produce an acceleration of 3.50 m/s sq while traveling at 25 m/s. At that speed, the forces resisting motion (friction & air) total 400 N. What force does the motorcycle exert backward to produce it's acceleration?

Homework Equations

Force = mass x acceleration + Friction motion

The Attempt at a Solution

Fnet = (m x a) + Ffr
= (245 x 3.5) + 400N
= 1257.5N

This needs a 2nd look. I'm not sure if the speed matters since we have mass and acceleration values. Please take a look, I'll stand by.

 

[cepheid]

Welcome to PF!

Homework Statement

A 245 kg motorcyle & rider can produce an acceleration of 3.50 m/s sq while traveling at 25 m/s. At that speed, the forces resisting motion (friction & air) total 400 N. What force does the motorcycle exert backward to produce it's acceleration?

Homework Equations

Force = mass x acceleration + Friction motion

The Attempt at a Solution

Fnet = (m x a) + Ffr
= (245 x 3.5) + 400N
= 1257.5N

This needs a 2nd look. I'm not sure if the speed matters since we have mass and acceleration values. Please take a look, I'll stand by.

Your equation is wrong.

F_net = ma

Always. That is Newton's 2nd Law.

So, the question is, what does F_net consist of? It is the sum of all horizontal forces on the motorcycle. There's the force from the road on the tires, which is forwards, and then there's friction + air drag, which is backwards.

These two have to add up to the net force, which you already know.

 

[cepheid]

The speed "matters" to the real-life situation in the sense that, at a different speed, the amount of drag would be different (and amount of torque the engine could produce would be different).

However, it doesn't matter to you, since it doesn't affect the actual calculations in any way. You are given what the drag + friction is at this speed.

 

[whereitsbeen]

Thank You

 

[asteriatic]

I would approach this problem by first identifying the forces acting on the motorcycle and rider system. In this case, we have the forward force exerted by the motorcycle to produce acceleration, and the forces resisting motion (friction and air resistance).

Newton's Second Law states that the net force acting on an object is equal to its mass times its acceleration. In this case, the net force is the sum of the forward force and the forces resisting motion.

Using this information, we can set up the equation Fnet = ma, where Fnet is the net force, m is the mass of the motorcycle and rider, and a is the acceleration.

Substituting the given values, we have:

Fnet = (245 kg)(3.5 m/s^2) + 400 N

Solving for Fnet, we get a value of 1257.5 N. This is the net force acting on the motorcycle and rider system, and since we know that the forces resisting motion total 400 N, we can determine that the forward force exerted by the motorcycle is 1257.5 N - 400 N = 857.5 N.

Therefore, the motorcycle exerts a force of 857.5 N backward to produce its acceleration of 3.50 m/s^2. This shows that Newton's Second Law applies to both forward and backward motion, and the net force is always equal to the mass times the acceleration.