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 exerted on the skateboard, we can use Newton's second law of motion, which states:

\[
F = ma
\]

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

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

### Step 2: Calculate the acceleration
Acceleration \( a \) is given by the formula:

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

Substituting the values:

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

### 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 exerted on the skateboard is **29.5 N**.

Would you like more details or have any questions? Here are some related questions:

1. What is Newton's second law of motion?
2. How do you convert units from cm/s to m/s?
3. What factors affect the force on a moving object?
4. How can we calculate acceleration if the time is not given?
5. What would happen if Jack's mass were different?

**Tip:** Always ensure that all units are consistent when performing calculations, especially in physics problems.

Learn how to calculate the force exerted on a skateboard using Newton's second law of motion. Detailed step-by-step solution with units conversion and acceleration calculation. Suitable for high school students studying physics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation