[Physics] Does stopping the same bike and rider at the same velocity with the front brake require less energy than the back brake

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It's the same body made by the rider and the bike moving at the same speed. So, even though braking on the front/back alters the normal forces on the opposite wheels thus creating more friction with the ground (if you back brake), you're still converting the same amount of energy to heat, correct?

In other words, brakes made from the same material on the same wheel should experience equivalent wear if each one converts X Joules of kinetic energy to heat energy, no matter if they are applied on the front or back wheel?

Best Answer

The answer depends on whether the wheels skid.

When you brake with just the rear wheel, it's quite possible to skid; if you apply the front brake, the increase in normal force on that wheel tends to prevent skidding (although in extreme cases it could make you fly over the handlebars).

Applying the rear brakes hard enough to block the wheel would generate little wear of the brake system, and lots of wear on the back tires. The same thing would not happen at the front.

In practice, which brakes wear more really depends on how much you use them. For motorbikes, it is recommended that you use the front brake more heavily to prevent skidding - in fact some bikes have a mechanism that pretty much ensures this.

But from a pure physics perspective, the kinetic energy that needs to be dissipated is the same, regardless of what brake is applied.

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