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.