The Relationship Between Momentum and Speed of a Runner

The Concept of Momentum in Physics

Momentum is a fundamental concept in physics that describes the motion of an object. It is defined as the product of an object's mass and its velocity. Mathematically, momentum (p) is represented as:

p = m * v

Where: - p = momentum - m = mass of the object - v = velocity of the object

Calculating the Mass of a Runner

Given that the magnitude of the momentum of a runner is 346.5 kg•m/s and the runner has a speed of 4.5 m/s, we can use the formula for momentum to calculate the mass of the runner. Rearranging the formula, we get:

m = p / v

Substitute the given values:

m = 346.5 kg•m/s / 4.5 m/s

m = 77 kg

Therefore, the mass of the runner is 77 kg.

Conclusion

Understanding the relationship between momentum and speed is crucial in physics. By knowing the momentum and speed of an object, we can calculate its mass or vice versa. In this case, knowing the momentum and speed of the runner allowed us to determine his mass accurately.

What is the relationship between momentum and speed in physics?

The relationship between momentum and speed is described by the formula: p = m * v, where p is momentum, m is mass, and v is velocity. This formula highlights how the momentum of an object is affected by both its mass and speed.

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