What is the momentum of a 5 kg object that has a velocity of $1.2 m / s$?
A. $3.8 kg \cdot m / s$
B. $4.2 kg \cdot m / s$
C. $6.0 kg \cdot m / s$
Answer (2)
The problem provides the mass m = 5 k g and velocity v = 1.2 m / s of an object.
Momentum is calculated using the formula p = m × v .
Substitute the given values into the formula: p = 5 k g × 1.2 m / s .
The momentum of the object is 6.0 k g ⋅ m / s .
Explanation
Understanding the Problem We are given the mass of an object, m = 5 k g , and its velocity, v = 1.2 m / s . We need to find the momentum of the object.
Momentum Formula The momentum of an object is given by the formula: p = m × v where p is the momentum, m is the mass, and v is the velocity.
Substituting Values Now, we substitute the given values into the formula: p = 5 k g × 1.2 m / s
Calculating Momentum Calculating the momentum: p = 6.0 k g ⋅ m / s
Final Answer Therefore, the momentum of the object is 6.0 k g ⋅ m / s .
Examples
Understanding momentum is crucial in many real-world scenarios, such as car safety and sports. For example, when designing a car, engineers consider the momentum of the vehicle during a collision to develop effective safety measures like airbags and crumple zones. In sports, understanding momentum helps athletes optimize their performance, such as a baseball player hitting a ball or a football player tackling an opponent. By understanding how mass and velocity affect momentum, we can better analyze and predict the outcomes of various physical interactions.
The momentum of a 5 kg object moving at a velocity of 1.2 m/s is calculated using the formula p = m × v . By substituting the values, we find that the momentum is 6.0 kg ⋅ m/s . Therefore, the correct answer is C. 6.0 kg ⋅ m/s .
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