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Answer :
- The problem provides the momentum and velocity of a bicycle.
- The formula $p = m \times v$ relates momentum, mass, and velocity.
- Rearranging the formula gives $m = \frac{p}{v}$.
- Substituting the given values, the mass of the bicycle is $\boxed{9 kg}$.
### Explanation
1. Understanding the Problem
We are given the momentum and velocity of a bicycle and asked to find its mass. Momentum is the product of mass and velocity, so we can use this relationship to find the mass.
2. Stating the Formula
The formula for momentum is given by:
$$p = m \times v$$
where:
- $p$ is the momentum (in $kg
\cdot m/s$)
- $m$ is the mass (in $kg$)
- $v$ is the velocity (in $m/s$)
3. Rearranging the Formula
We are given:
- $p = 36 kg
\cdot m/s$
- $v = 4 m/s$
We need to find $m$. We can rearrange the formula to solve for mass:
$$m = \frac{p}{v}$$
4. Substituting the Values
Now, we substitute the given values into the formula:
$$m = \frac{36 kg
\cdot m/s}{4 m/s}$$
$$m = 9 kg$$
5. Final Answer
Therefore, the mass of the bicycle is 9 kg.
### Examples
Understanding momentum is crucial in many real-world scenarios, such as designing vehicles, analyzing collisions, and even understanding how rockets work. For example, when designing a car, engineers need to consider the momentum of the car 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 in baseball where the momentum of the bat and ball determine the distance the ball travels.
- The formula $p = m \times v$ relates momentum, mass, and velocity.
- Rearranging the formula gives $m = \frac{p}{v}$.
- Substituting the given values, the mass of the bicycle is $\boxed{9 kg}$.
### Explanation
1. Understanding the Problem
We are given the momentum and velocity of a bicycle and asked to find its mass. Momentum is the product of mass and velocity, so we can use this relationship to find the mass.
2. Stating the Formula
The formula for momentum is given by:
$$p = m \times v$$
where:
- $p$ is the momentum (in $kg
\cdot m/s$)
- $m$ is the mass (in $kg$)
- $v$ is the velocity (in $m/s$)
3. Rearranging the Formula
We are given:
- $p = 36 kg
\cdot m/s$
- $v = 4 m/s$
We need to find $m$. We can rearrange the formula to solve for mass:
$$m = \frac{p}{v}$$
4. Substituting the Values
Now, we substitute the given values into the formula:
$$m = \frac{36 kg
\cdot m/s}{4 m/s}$$
$$m = 9 kg$$
5. Final Answer
Therefore, the mass of the bicycle is 9 kg.
### Examples
Understanding momentum is crucial in many real-world scenarios, such as designing vehicles, analyzing collisions, and even understanding how rockets work. For example, when designing a car, engineers need to consider the momentum of the car 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 in baseball where the momentum of the bat and ball determine the distance the ball travels.
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