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25 What is the momentum of a 32 kg object moving with a constant velocity of \( 72 \mathrm{~m} / \mathrm{s} \) ? \( p=\square \mathrm{kg} \mathrm{m} / \mathrm{s} \)

Ask by Kirk Gross. in the United States
Feb 19,2025

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Answer

The momentum is 2304 kg·m/s.

Solution

To find the momentum \( p \) of an object, we can use the formula: \[ p = m \cdot v \] where: - \( m \) is the mass of the object (in kg), - \( v \) is the velocity of the object (in m/s). Given: - \( m = 32 \, \text{kg} \) - \( v = 72 \, \text{m/s} \) Now, we can substitute the values into the formula: \[ p = 32 \, \text{kg} \cdot 72 \, \text{m/s} \] Now, let's calculate the momentum. \[ p = 32 \cdot 72 \] Calculating this gives: \[ p = 2304 \, \text{kg m/s} \] Thus, the momentum of the object is \[ p = 2304 \, \text{kg m/s} \]

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To find the momentum \( p \) of the object, you can use the formula: \[ p = m \cdot v \] where \( m \) is the mass (32 kg) and \( v \) is the velocity (72 m/s). Plugging in the values: \[ p = 32 \, \text{kg} \times 72 \, \text{m/s} = 2304 \, \text{kg m/s} \] So, the momentum of the object is \( 2304 \, \text{kg m/s} \). If you're curious, momentum is often used in sports! For instance, in physics, you can analyze how a soccer ball’s momentum shifts when kicked. Coaches might study this to improve strategies, understanding how to maximize the ball's speed and direction based on its momentum. Also, momentum isn’t just a concept reserved for the classroom. You can see it in action in everyday life. Think about a train versus a car: the train, with its massive momentum, takes much longer to stop, illustrating how an object in motion keeps moving unless acted upon by an external force. It's a great reminder of Newton's First Law!

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