Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
To calculate the acceleration of the car with two washers added to the string, we can use the given data and the formula for acceleration. Here’s a detailed, step-by-step solution:
1. Identify the Relevant Data:
- Initial velocity, \( v_1 = 0.13 \) m/s
- Final velocity, \( v_2 = 0.36 \) m/s
- Time taken to travel \( 0.50 \) meters, \( t_2 = 2.61 \) seconds
- Initial time \( t_1 = 0 \) seconds (assuming the initial measurement starts at \( t_1 = 0 \))
2. Use the Formula for Acceleration:
The formula for acceleration \( a \) is:
[tex]\[ a = \frac{v_2 - v_1}{t_2 - t_1} \][/tex]
3. Substitute the Values into the Formula:
[tex]\[ a = \frac{0.36 \text{ m/s} - 0.13 \text{ m/s}}{2.61 \text{ s} - 0 \text{ s}} \][/tex]
4. Simplify the Numerator:
[tex]\[ 0.36 \text{ m/s} - 0.13 \text{ m/s} = 0.23 \text{ m/s} \][/tex]
5. Substitute Back into the Formula:
[tex]\[ a = \frac{0.23 \text{ m/s}}{2.61 \text{ s}} \][/tex]
6. Calculate the Acceleration:
[tex]\[ a = 0.08812260536398467 \text{ m/s}^2 \][/tex]
Therefore, the acceleration of the car with two washers added to the string would be [tex]\( 0.088 \text{ m/s}^2 \)[/tex] (rounded to three significant figures).
1. Identify the Relevant Data:
- Initial velocity, \( v_1 = 0.13 \) m/s
- Final velocity, \( v_2 = 0.36 \) m/s
- Time taken to travel \( 0.50 \) meters, \( t_2 = 2.61 \) seconds
- Initial time \( t_1 = 0 \) seconds (assuming the initial measurement starts at \( t_1 = 0 \))
2. Use the Formula for Acceleration:
The formula for acceleration \( a \) is:
[tex]\[ a = \frac{v_2 - v_1}{t_2 - t_1} \][/tex]
3. Substitute the Values into the Formula:
[tex]\[ a = \frac{0.36 \text{ m/s} - 0.13 \text{ m/s}}{2.61 \text{ s} - 0 \text{ s}} \][/tex]
4. Simplify the Numerator:
[tex]\[ 0.36 \text{ m/s} - 0.13 \text{ m/s} = 0.23 \text{ m/s} \][/tex]
5. Substitute Back into the Formula:
[tex]\[ a = \frac{0.23 \text{ m/s}}{2.61 \text{ s}} \][/tex]
6. Calculate the Acceleration:
[tex]\[ a = 0.08812260536398467 \text{ m/s}^2 \][/tex]
Therefore, the acceleration of the car with two washers added to the string would be [tex]\( 0.088 \text{ m/s}^2 \)[/tex] (rounded to three significant figures).
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.