What is the bicycle speed after the throw?

In summary, Tony, with a mass of 55kg, is coasting on his bicycle with a mass of 5kg at a constant speed of 5m/s. He throws a 6kg pack forward, in the direction of his motion, at a relative speed of 1m/s. The initial momentum of the system is 330kg*m/s and after the pack is thrown, it remains at 330kg*m/s. The bicycle's speed after the throw can be calculated by dividing the total momentum by the total mass of the system, resulting in a speed of either 66kg*m/s or 5.41kg*m/s. This is because the velocity of the pack relative to the ground is 6m
  • #1
sensesfail
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Homework Statement



Tony of mass 55kg coasts on his bi cycle of mass 5 kg at a constant speed of 5m/s carrying a 6kg pack. tony throws his pack forward, in the direction of his motion, at 1 m/s relative to the speed of bicycle just before the throw.

Initial momentum of system (tony, bicycle, pack) is 330 kg* m/s
Momentum of system after pack is thrown is 330 kg*m/s

What is the bicycle speed after the throw? Answer in kg*m/s

Homework Equations





The Attempt at a Solution



330 / 5 = 66 kg*m/s

or 330 / 61 = 5.41 kg*m/s
 
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  • #2
Momentum of system after pack is thrown is 330 kg*m/s = (Mass of tony + Cycle)*v + Mass of the pack*its velocity. Velocity of pack with respect to the ground is 5 + 1 = 6m/s.
 
  • #3
Thanks i got the answer!
 

Related to What is the bicycle speed after the throw?

1. What is the equation for calculating bicycle speed after a throw?

The equation for calculating bicycle speed after a throw is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

2. How is bicycle speed affected by the force of the throw?

The force of the throw will affect the initial velocity of the bicycle. The greater the force, the greater the initial velocity and therefore the higher the final speed will be.

3. Does the weight of the bicycle affect its speed after a throw?

Yes, the weight of the bicycle will affect its speed after a throw. The heavier the bicycle, the more force is needed to accelerate it and the longer it will take to reach a certain speed.

4. How does air resistance impact the speed of a thrown bicycle?

Air resistance, also known as drag, will slow down the bicycle's speed as it moves through the air. The faster the bicycle is moving, the greater the air resistance will be, thus slowing down its speed.

5. Can the surface the bicycle is thrown on affect its speed?

Yes, the surface the bicycle is thrown on can affect its speed. A smoother surface will have less friction and allow the bicycle to maintain its speed for longer, while a rougher surface will cause more friction and slow down the bicycle's speed.

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