Question

(d) A force of 30 N is required to accelerate a skateboard at 1.5 m/s². How much force

would accelerate the same skateboard at 6.0 m/s²?

Answer 1

`\huge\boxed{\sf F = 120\ N}`

Step-by-step explanation:

Firstly, we need to find the mass of the skateboard.

Using formula:

F = ma

Where,

• Force = f = 30 N

• Acceleration = a = 1.5 m/s²

30 = m (1.5)

Divide 1.5 to both sides

30/1.5 kg = m

20 kg = m

m = 20 kg

Now, finding the force:

Using the same formula.

F = ma

Where,

• mass = m = 20 kg
• Acceleration = a = 6 m/s²

F = (20)(6)

F = 120 N

`\rule[225]{225}{2}`