Answer :
Sure, let's solve this step-by-step.
### Step 1: Convert the mass of one washer to kilograms
First, we are given the mass of one washer as \( 4.9 \) grams. To convert grams to kilograms, we use the conversion factor \( 1 \text{ gram} = 0.001 \text{ kilograms} \).
[tex]\[ \text{Mass of one washer in kilograms} = 4.9 \text{ grams} \times 0.001 \text{ kg/gram} \][/tex]
[tex]\[ \text{Mass of one washer in kilograms} = 0.0049 \text{ kg} \][/tex]
### Step 2: Calculate the mass of two washers in kilograms
If we have two washers, the total mass would be twice the mass of one washer.
[tex]\[ \text{Mass of two washers in kilograms} = 2 \times 0.0049 \text{ kg} \][/tex]
[tex]\[ \text{Mass of two washers in kilograms} = 0.0098 \text{ kg} \][/tex]
So, the mass of two washers in kilograms is \( 0.0098 \text{ kg} \).
### Step 3: Calculate the mass of four washers in kilograms
Similarly, if we have four washers, the total mass would be four times the mass of one washer.
[tex]\[ \text{Mass of four washers in kilograms} = 4 \times 0.0049 \text{ kg} \][/tex]
[tex]\[ \text{Mass of four washers in kilograms} = 0.0196 \text{ kg} \][/tex]
### Step 4: Calculate the force applied on the car
The problem gives us the acceleration \( a \) as \( 10 \text{ m/s}^2 \). Using Newton's second law, \( F = ma \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration:
[tex]\[ F = m \times a \][/tex]
[tex]\[ F = 0.0196 \text{ kg} \times 10 \text{ m/s}^2 \][/tex]
[tex]\[ F = 0.196 \text{ N} \][/tex]
So, the applied force on the car when 4 washers are attached is \( 0.196 \text{ N} \).
### Summary
- The mass of two washers in kilograms is \( 0.0098 \text{ kg} \).
- The applied force on the car, when 4 washers are attached, is [tex]\( 0.196 \text{ N} \)[/tex].
### Step 1: Convert the mass of one washer to kilograms
First, we are given the mass of one washer as \( 4.9 \) grams. To convert grams to kilograms, we use the conversion factor \( 1 \text{ gram} = 0.001 \text{ kilograms} \).
[tex]\[ \text{Mass of one washer in kilograms} = 4.9 \text{ grams} \times 0.001 \text{ kg/gram} \][/tex]
[tex]\[ \text{Mass of one washer in kilograms} = 0.0049 \text{ kg} \][/tex]
### Step 2: Calculate the mass of two washers in kilograms
If we have two washers, the total mass would be twice the mass of one washer.
[tex]\[ \text{Mass of two washers in kilograms} = 2 \times 0.0049 \text{ kg} \][/tex]
[tex]\[ \text{Mass of two washers in kilograms} = 0.0098 \text{ kg} \][/tex]
So, the mass of two washers in kilograms is \( 0.0098 \text{ kg} \).
### Step 3: Calculate the mass of four washers in kilograms
Similarly, if we have four washers, the total mass would be four times the mass of one washer.
[tex]\[ \text{Mass of four washers in kilograms} = 4 \times 0.0049 \text{ kg} \][/tex]
[tex]\[ \text{Mass of four washers in kilograms} = 0.0196 \text{ kg} \][/tex]
### Step 4: Calculate the force applied on the car
The problem gives us the acceleration \( a \) as \( 10 \text{ m/s}^2 \). Using Newton's second law, \( F = ma \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration:
[tex]\[ F = m \times a \][/tex]
[tex]\[ F = 0.0196 \text{ kg} \times 10 \text{ m/s}^2 \][/tex]
[tex]\[ F = 0.196 \text{ N} \][/tex]
So, the applied force on the car when 4 washers are attached is \( 0.196 \text{ N} \).
### Summary
- The mass of two washers in kilograms is \( 0.0098 \text{ kg} \).
- The applied force on the car, when 4 washers are attached, is [tex]\( 0.196 \text{ N} \)[/tex].
