3. Jack, who is 59kgs in weight, was riding a skateboard with an initial velocity of 150cm/s. After 5
seconds, his speed increased to 4m/s. Calculate the force on the skateboard.

To calculate the force on the skateboard, we'll use **Newton's Second Law of Motion**, which states that:

\[
F = ma
\]

Where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.

### Step 1: Convert units where necessary
- Initial velocity \( u = 150 \, \text{cm/s} = 1.5 \, \text{m/s} \) (since \( 1 \, \text{m} = 100 \, \text{cm} \))
- Final velocity \( v = 4 \, \text{m/s} \)
- Time \( t = 5 \, \text{seconds} \)
- Mass \( m = 59 \, \text{kg} \)

### Step 2: Calculate acceleration
Acceleration \( a \) can be calculated using the formula:

\[
a = \frac{v - u}{t}
\]

Substitute the values:

\[
a = \frac{4 \, \text{m/s} - 1.5 \, \text{m/s}}{5 \, \text{s}} = \frac{2.5 \, \text{m/s}}{5 \, \text{s}} = 0.5 \, \text{m/s}^2
\]

### Step 3: Calculate the force
Now, using the formula \( F = ma \):

\[
F = 59 \, \text{kg} \times 0.5 \, \text{m/s}^2 = 29.5 \, \text{N}
\]

So, the force on the skateboard is **29.5 Newtons**.

---

Would you like more details on the calculations or have any other questions?

Here are 5 related questions:
1. How would the force change if the mass of the skateboarder increased?
2. What would happen to the force if the acceleration doubled?
3. How can we calculate the work done by the force on the skateboard over the 5 seconds?
4. How does the concept of momentum apply to this situation?
5. What if there were friction acting on the skateboard—how would that affect the force?

**Tip:** Always ensure that your units are consistent when performing calculations in physics, especially when dealing with SI units.

Learn how to calculate the force on a skateboard using Newton's Second Law of Motion and kinematic equations. Detailed step-by-step solution involving initial velocity, final velocity, time, and mass of the skateboarder. Suitable for high school physics students.

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