A bicycle has a momentum of $36 kg \cdot m / s$ and a velocity of $4 m / s$. What is the mass of the bicycle?

State the formula for momentum: p = m × v .
Rearrange the formula to solve for mass: m = v p ​ .
Substitute the given values: m = 4 36 ​ .
Calculate the mass: m = 9 k g . The mass of the bicycle is 9 k g ​ .

Explanation

Understanding the Problem We are given the momentum and velocity of a bicycle and asked to find its mass. Momentum is defined as the product of mass and velocity, so we can use this relationship to find the mass.

Stating the Formula The formula for momentum is: p = m × v where:



p is the momentum (in k g ⋅ m / s )
m is the mass (in k g )
v is the velocity (in m / s )


Identifying Given Values We are given:


p = 36 k g ⋅ m / s
v = 4 m / s We need to find m .


Calculating the Mass Rearrange the formula to solve for mass: m = v p ​ Substitute the given values: m = 4 m / s 36 k g ⋅ m / s ​ m = 9 k g

Final Answer The mass of the bicycle is 9 kg.


Examples
Understanding momentum is crucial in many real-world scenarios, such as designing vehicles or analyzing collisions. For example, when designing a car, engineers need to consider the momentum of the vehicle at different speeds to ensure that the brakes are effective enough to stop the car safely. Similarly, in sports, understanding momentum helps athletes optimize their performance, such as a baseball player hitting a ball or a football player tackling an opponent. The formula p = m v is a fundamental concept in physics that helps us understand and predict the motion of objects.

Answered by GinnyAnswer | 2025-07-08

The mass of the bicycle is found using the formula for momentum, which is p = m × v . By rearranging to find mass, we determined that m = 4 m/s 36 kg ⋅ m/s ​ , resulting in a mass of 9 kg . Therefore, the bicycle weighs 9 kg.
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Answered by Anonymous | 2025-07-10