Question

A force of 90N is applied to each cart below, which one will accelerate the fastest?

Mass: 5 kg
Mass: 6 kg
mass: 8 kg
Mass: 9 kg

Answer 1

Answer:

5kg

Explanation:

The cart with the least amount of mass will result in the fastest acceleration.

Answer 2

The cart with the fastest acceleration is 5 kg cart because its mass is the smallest.

The given parameters;

• applied force, F = 90 N
• mass of cart: 5kg, 6kg, 8 kg, 9 kg

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

The acceleration of the 5 kg cart is calculated as follows;

$a = \frac{F}{m} \\\\a = \frac{90}{5} = 18 \ m/s^2$

The acceleration of the 6 kg cart is calculated as follows;

$a = \frac{F}{m} \\\\a = \frac{90}{6} = 15 \ m/s^2$

The acceleration of the 8 kg cart is calculated as follows;

$a = \frac{F}{m} \\\\a = \frac{90}{8} = 11.25 \ m/s^2$

The acceleration of the 9 kg cart is calculated as follows;

$a = \frac{F}{m} \\\\a = \frac{90}{9} = 10 \ m/s^2$

Thus, the cart with the fastest acceleration is 5 kg cart because its mass is the smallest.

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