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Answer :
To solve this problem, we need to find the force exerted by the snowmobile when Sully accelerates. Let's break down the process step by step:
1. Identify the Given Values:
- Initial velocity ([tex]\( v_i \)[/tex]) = 10 meters/second
- Final velocity ([tex]\( v_f \)[/tex]) = 16 meters/second
- Time ([tex]\( t \)[/tex]) = 10 seconds
- Mass ([tex]\( m \)[/tex]) = 280 kilograms
2. Calculate the Acceleration:
Acceleration ([tex]\( a \)[/tex]) can be calculated using the formula:
[tex]\[
a = \frac{v_f - v_i}{t}
\][/tex]
Plugging in the known values:
[tex]\[
a = \frac{16 \, \text{m/s} - 10 \, \text{m/s}}{10 \, \text{s}} = \frac{6}{10} = 0.6 \, \text{m/s}^2
\][/tex]
3. Calculate the Force:
The force ([tex]\( F \)[/tex]) exerted by the snowmobile is given by Newton's second law:
[tex]\[
F = m \times a
\][/tex]
Substituting the known values:
[tex]\[
F = 280 \, \text{kg} \times 0.6 \, \text{m/s}^2 = 168 \, \text{N}
\][/tex]
Thus, the force exerted by the snowmobile to accelerate is 168 Newtons. However, this value does not match any of the options provided. Please verify the given choices and parameters once more. There might be a mismatch or typographical error.
1. Identify the Given Values:
- Initial velocity ([tex]\( v_i \)[/tex]) = 10 meters/second
- Final velocity ([tex]\( v_f \)[/tex]) = 16 meters/second
- Time ([tex]\( t \)[/tex]) = 10 seconds
- Mass ([tex]\( m \)[/tex]) = 280 kilograms
2. Calculate the Acceleration:
Acceleration ([tex]\( a \)[/tex]) can be calculated using the formula:
[tex]\[
a = \frac{v_f - v_i}{t}
\][/tex]
Plugging in the known values:
[tex]\[
a = \frac{16 \, \text{m/s} - 10 \, \text{m/s}}{10 \, \text{s}} = \frac{6}{10} = 0.6 \, \text{m/s}^2
\][/tex]
3. Calculate the Force:
The force ([tex]\( F \)[/tex]) exerted by the snowmobile is given by Newton's second law:
[tex]\[
F = m \times a
\][/tex]
Substituting the known values:
[tex]\[
F = 280 \, \text{kg} \times 0.6 \, \text{m/s}^2 = 168 \, \text{N}
\][/tex]
Thus, the force exerted by the snowmobile to accelerate is 168 Newtons. However, this value does not match any of the options provided. Please verify the given choices and parameters once more. There might be a mismatch or typographical error.
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