**Problem Statement:**A two-man bobsled has a mass of 290 kg. Starting from rest, the two racers push the sled for the first 50 m with a net force of 370 N. Neglecting friction, what is the sled's speed at the end of the 50 m?**Answer Options:**- ○ 7.8 m/s- ○ 2.9 m/s- ○ 11.3 m/s- ○ 8.9 m/s- ○ 4.7 m/s**Explanation:**To solve this problem, we use the work-energy principle. The work done by the net force is converted into the kinetic energy of the bobsled. 1. Calculate the work done on the sled: \[ \text{Work} = \text{Force} \times \text{Distance} = 370 \, \text{N} \times 50 \, \text{m} \]2. Work is also equal to the change in kinetic energy: \[ \text{Work} = \frac{1}{2} m v^2 - \frac{1}{2} m u^2 \] where \( u = 0 \, \text{m/s} \) (initial speed) and \( v \) is the final speed.3. Rearrange to solve for \( v \): \[ v = \sqrt{\frac{2 \times \text{Work}}{m}} \]Substitute the given values to find the final speed \( v \).

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A two-man bobsled has a mass of 290 kg. Starting from rest, the two racers push the sled for the first 50 m with a net force of 370 Neglecting friction, what is the sled's speed at the end of the 50 m? 7.8 m/s 2.9 m/s 11.3 m/s 8.9 m/s 4.7 m/s

A two-man bobsled has a mass of 290 kg. Starting from rest, the two racers push the sled for the first 50 m with a net force of 370 Neglecting friction, what is the sled's speed at the end of the 50 m? 7.8 m/s 2.9 m/s 11.3 m/s 8.9 m/s 4.7 m/s

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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Question

**Problem Statement:**

A two-man bobsled has a mass of 290 kg. Starting from rest, the two racers push the sled for the first 50 m with a net force of 370 N. Neglecting friction, what is the sled's speed at the end of the 50 m?

**Answer Options:**

- ○ 7.8 m/s
- ○ 2.9 m/s
- ○ 11.3 m/s
- ○ 8.9 m/s
- ○ 4.7 m/s

**Explanation:**

To solve this problem, we use the work-energy principle. The work done by the net force is converted into the kinetic energy of the bobsled.

1. Calculate the work done on the sled:
\[
\text{Work} = \text{Force} \times \text{Distance} = 370 \, \text{N} \times 50 \, \text{m}
\]

2. Work is also equal to the change in kinetic energy:
\[
\text{Work} = \frac{1}{2} m v^2 - \frac{1}{2} m u^2
\]
where \( u = 0 \, \text{m/s} \) (initial speed) and \( v \) is the final speed.

3. Rearrange to solve for \( v \):
\[
v = \sqrt{\frac{2 \times \text{Work}}{m}}
\]

Substitute the given values to find the final speed \( v \).

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