A tricycle with a combined mass(including the driver and passengers) of 250 kg is driving along a provincial road in batangas. The driver applies a forward force of 500 N, but the road friction and air resistance exert a total opposing force of 300N . Calculate the net force acting on the tricycle and determine its acceleration.

Let's go through the steps to solve this problem.

### 1. **Calculate the Net Force**

The net force acting on the tricycle is the difference between the forward force applied by the driver and the opposing forces (road friction and air resistance).

\[
\text{Net Force} = \text{Applied Force} - \text{Opposing Forces}
\]

\[
\text{Net Force} = 500 \, \text{N} - 300 \, \text{N} = 200 \, \text{N}
\]

### 2. **Calculate the Acceleration**

To calculate the acceleration of the tricycle, we will use **Newton's Second Law of Motion**, which states:

\[
F = ma
\]

Where:
- \( F \) is the net force (200 N),
- \( m \) is the mass of the tricycle and its passengers (250 kg),
- \( a \) is the acceleration, which we need to find.

Rearranging the equation to solve for acceleration \( a \):

\[
a = \frac{F}{m}
\]

Substituting the values:

\[
a = \frac{200 \, \text{N}}{250 \, \text{kg}} = 0.8 \, \text{m/s}^2
\]

### Final Answer:
- **Net Force**: \( 200 \, \text{N} \)
- **Acceleration**: \( 0.8 \, \text{m/s}^2 \)

Would you like more details or have any questions?

Here are 5 related questions to expand on the concept:

1. What happens to the acceleration if the opposing force increases to 400 N?
2. How would the acceleration change if the mass of the tricycle was doubled?
3. What would be the velocity of the tricycle after 5 seconds if it starts from rest?
4. How does air resistance affect the motion of a tricycle at higher speeds?
5. Can you calculate the stopping distance of the tricycle if the brakes were applied with a force of 400 N?

**Tip**: Newton’s Second Law shows that for a given mass, higher net forces result in greater acceleration.

A tricycle with a combined mass (including the driver and passengers) of 250 kg is driving along a provincial road in Batangas. The driver applies a forward force of 500 N, but the road friction and air resistance exert a total opposing force of 300 N. Calculate the net force acting on the tricycle and determine its acceleration.

Learn how to calculate the net force and acceleration of a 250 kg tricycle moving along a road in Batangas. The driver applies a 500 N forward force, while road friction and air resistance exert 300 N in opposition. This problem involves Newton's Second Law of Motion, net force calculations, and acceleration. Suitable for students in Grades 9-11.

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