Wade Ford
03/24/2024 · Primary School
A car accelerates at a rate of \( 8.8 \mathrm{~m} / \mathrm{s}^{2} \) with a force from the tires of 19,976 What is the mass of the car?
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Step-by-step Solution
Given:
- Acceleration of the car, \( a = 8.8 \, \text{m/s}^2 \)
- Force from the tires, \( F = 19976 \, \text{N} \)
We know that force is equal to mass times acceleration, which can be represented by the equation:
\[ F = m \cdot a \]
We can rearrange this equation to solve for mass:
\[ m = \frac{F}{a} \]
Substitute the given values into the equation:
\[ m = \frac{19976}{8.8} \]
Now, we can calculate the mass of the car.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{19976}{8.8}\)
- step1: Convert the expressions:
\(\frac{19976}{\frac{44}{5}}\)
- step2: Multiply by the reciprocal:
\(19976\times \frac{5}{44}\)
- step3: Reduce the numbers:
\(454\times 5\)
- step4: Multiply the numbers:
\(2270\)
The mass of the car is 2270 kg.
Quick Answer
The mass of the car is 2270 kg.
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