Answer :
To solve this problem, let's break it down step-by-step using Newton's second law of motion.
Step 1: Understand the problem
We need to find the mass of the sled. We are provided with:
- Net force ([tex]\( F \)[/tex]) = 2000 Newtons (N)
- Acceleration ([tex]\( a \)[/tex]) = 2.2 meters per second squared (m/s²)
Step 2: Recall Newton's second law of motion
Newton's second law states that the force acting on an object is equal to the mass of the object times its acceleration:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the net force
- [tex]\( m \)[/tex] is the mass of the object
- [tex]\( a \)[/tex] is the acceleration
Step 3: Rearrange the formula to solve for mass ([tex]\( m \)[/tex])
We need to isolate [tex]\( m \)[/tex] on one side of the equation. To do this, divide both sides of the equation by [tex]\( a \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Step 4: Substitute the given values into the formula
Insert the given values for the force and acceleration:
[tex]\[ m = \frac{2000 \, \text{N}}{2.2 \, \text{m/s}^2} \][/tex]
Step 5: Calculate the mass
Perform the division:
[tex]\[ m = \frac{2000}{2.2} \][/tex]
To calculate:
[tex]\[ m = 909.09 \, \text{kg} \][/tex]
So, the mass of the sled is approximately 909.09 kilograms.
Step 1: Understand the problem
We need to find the mass of the sled. We are provided with:
- Net force ([tex]\( F \)[/tex]) = 2000 Newtons (N)
- Acceleration ([tex]\( a \)[/tex]) = 2.2 meters per second squared (m/s²)
Step 2: Recall Newton's second law of motion
Newton's second law states that the force acting on an object is equal to the mass of the object times its acceleration:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the net force
- [tex]\( m \)[/tex] is the mass of the object
- [tex]\( a \)[/tex] is the acceleration
Step 3: Rearrange the formula to solve for mass ([tex]\( m \)[/tex])
We need to isolate [tex]\( m \)[/tex] on one side of the equation. To do this, divide both sides of the equation by [tex]\( a \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Step 4: Substitute the given values into the formula
Insert the given values for the force and acceleration:
[tex]\[ m = \frac{2000 \, \text{N}}{2.2 \, \text{m/s}^2} \][/tex]
Step 5: Calculate the mass
Perform the division:
[tex]\[ m = \frac{2000}{2.2} \][/tex]
To calculate:
[tex]\[ m = 909.09 \, \text{kg} \][/tex]
So, the mass of the sled is approximately 909.09 kilograms.
Answer:
909.90
Explanation:
EASY WAY
To find the mass of the sled, we can use Newton's second law of motion, which states that force equals mass times acceleration (\( F = ma \)).
Given:
- Net force (\( F \)) = 2000 N
- Acceleration (\( a \)) = 2.2 m/s²
We need to find the mass (\( m \)).
Rearranging the equation to solve for mass:
\[ m = \frac{F}{a} \]
Plugging in the given values:
\[ m = \frac{2000 \, \text{N}}{2.2 \, \text{m/s}^2} \]
Now, calculate the mass:
\[ m = \frac{2000}{2.2} \approx 909.09 \, \text{kg} \]
So, the mass of the sled is approximately 909.09 kg.
