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18 Calculate A second team of dogs is pulling a sled
with a net force of 2000 N. The sled is accelerating
at 2.2 m/s². What is the mass of the sled?
What do you know?

Verified Answer :

GinnyAnswer

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 (\(\( F \)\)) = 2000 Newtons (N)
- Acceleration (\(\( a \)\)) = 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:
\(\[ F = m \times a \]\)

Where:
- \(\( F \)\) is the net force
- \(\( m \)\) is the mass of the object
- \(\( a \)\) is the acceleration

Step 3: Rearrange the formula to solve for mass (\(\( m \)\))
We need to isolate \(\( m \)\) on one side of the equation. To do this, divide both sides of the equation by \(\( a \)\):
\(\[ m = \frac{F}{a} \]\)

Step 4: Substitute the given values into the formula
Insert the given values for the force and acceleration:
\(\[ m = \frac{2000 \, \text{N}}{2.2 \, \text{m/s}^2} \]\)

Step 5: Calculate the mass
Perform the division:
\(\[ m = \frac{2000}{2.2} \]\)

To calculate:
\(\[ m = 909.09 \, \text{kg} \]\)

So, the mass of the sled is approximately 909.09 kilograms.

sitapoudellamichhane

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.

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