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Answer :
To solve the problem of finding the force exerted by the snowmobile to accelerate, we can follow these steps:
1. Identify the variables:
- Initial velocity ([tex]\(u\)[/tex]): 10 meters/second
- Final velocity ([tex]\(v\)[/tex]): 16 meters/second
- Time duration ([tex]\(t\)[/tex]): 10 seconds
- Mass ([tex]\(m\)[/tex]): 280 kilograms
2. Calculate the acceleration ([tex]\(a\)[/tex]):
- The formula for acceleration is given by:
[tex]\[
a = \frac{\text{{final velocity}} - \text{{initial velocity}}}{\text{{time}}}
\][/tex]
- Plug in the values:
[tex]\[
a = \frac{16 - 10}{10} = \frac{6}{10} = 0.6 \text{ meters/second}^2
\][/tex]
3. Calculate the force ([tex]\(F\)[/tex]):
- Using the formula [tex]\(F = m \times a\)[/tex], where:
- [tex]\(F\)[/tex] is the force,
- [tex]\(m\)[/tex] is the mass,
- [tex]\(a\)[/tex] is the acceleration.
- Substitute the known values:
[tex]\[
F = 280 \times 0.6 = 168 \text{ Newtons}
\][/tex]
Therefore, the force exerted by the snowmobile to accelerate is 168 Newtons. The correct answer is B) 168 N.
1. Identify the variables:
- Initial velocity ([tex]\(u\)[/tex]): 10 meters/second
- Final velocity ([tex]\(v\)[/tex]): 16 meters/second
- Time duration ([tex]\(t\)[/tex]): 10 seconds
- Mass ([tex]\(m\)[/tex]): 280 kilograms
2. Calculate the acceleration ([tex]\(a\)[/tex]):
- The formula for acceleration is given by:
[tex]\[
a = \frac{\text{{final velocity}} - \text{{initial velocity}}}{\text{{time}}}
\][/tex]
- Plug in the values:
[tex]\[
a = \frac{16 - 10}{10} = \frac{6}{10} = 0.6 \text{ meters/second}^2
\][/tex]
3. Calculate the force ([tex]\(F\)[/tex]):
- Using the formula [tex]\(F = m \times a\)[/tex], where:
- [tex]\(F\)[/tex] is the force,
- [tex]\(m\)[/tex] is the mass,
- [tex]\(a\)[/tex] is the acceleration.
- Substitute the known values:
[tex]\[
F = 280 \times 0.6 = 168 \text{ Newtons}
\][/tex]
Therefore, the force exerted by the snowmobile to accelerate is 168 Newtons. The correct answer is B) 168 N.
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