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Answer :
- The problem states that a bicycle has a momentum of $36 kg
\cdot m / s$ and a velocity of $4 m / s$.
- Recall the formula for momentum: $p = m \times v$.
- Substitute the given values into the formula and solve for $m$: $36 = m \times 4$, so $m = \frac{36}{4}$.
- Calculate the mass: $m = 9 kg$. 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.
2. Recalling the Momentum 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. Identifying Given Values
We are given that the momentum $p = 36 kg
\cdot m/s$ and the velocity $v = 4 m/s$. We need to find the mass $m$.
4. Substituting Values into the Formula
Substitute the given values into the momentum formula:
$36 = m
\times 4$
5. Solving for Mass
To solve for $m$, divide both sides of the equation by 4:
$m = \frac{36}{4}$
6. Calculating the Mass
$m = 9 kg$
7. Stating the 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, engineers use the principle of momentum to calculate the impact force during a car crash and design safety features like airbags and crumple zones to minimize injuries. Similarly, in sports, understanding momentum helps athletes optimize their performance, such as a baseball player hitting a ball or a swimmer pushing off the wall.
\cdot m / s$ and a velocity of $4 m / s$.
- Recall the formula for momentum: $p = m \times v$.
- Substitute the given values into the formula and solve for $m$: $36 = m \times 4$, so $m = \frac{36}{4}$.
- Calculate the mass: $m = 9 kg$. 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.
2. Recalling the Momentum 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. Identifying Given Values
We are given that the momentum $p = 36 kg
\cdot m/s$ and the velocity $v = 4 m/s$. We need to find the mass $m$.
4. Substituting Values into the Formula
Substitute the given values into the momentum formula:
$36 = m
\times 4$
5. Solving for Mass
To solve for $m$, divide both sides of the equation by 4:
$m = \frac{36}{4}$
6. Calculating the Mass
$m = 9 kg$
7. Stating the 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, engineers use the principle of momentum to calculate the impact force during a car crash and design safety features like airbags and crumple zones to minimize injuries. Similarly, in sports, understanding momentum helps athletes optimize their performance, such as a baseball player hitting a ball or a swimmer pushing off the wall.
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