A force of 1.35 newtons is required to accelerate a book by 1.5 meters/second2 along a frictionless surface. What is the mass of the book?

0.45 kilograms

0.90 kilograms

1.35 kilograms

1.5 kilograms

1.8 kilograms

F = 1.35 N.

a = 1.5 m/s^2

F = m*a
m = F/a

To find the mass of the book, you can use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = ma). Rearranging the formula, you can solve for mass (m = F/a).

Given:
Force (F) = 1.35 newtons
Acceleration (a) = 1.5 meters/second^2

Plugging in the values, you get:
m = 1.35 newtons / 1.5 meters/second^2

Simplifying the units, meters/second^2 can be written as kg*m/s^2 (since the unit of force is newton, which is kg*m/s^2). Therefore, the units cancel out, leaving us with the mass in kilograms.

m = 1.35 / 1.5
m = 0.9 kilograms

So, the mass of the book is 0.9 kilograms. Therefore, the correct answer is:

0.90 kilograms.

To find the mass of the book, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). Given that the force required is 1.35 newtons and the acceleration is 1.5 meters/second^2, we can rearrange the equation to solve for mass (m = F/a).

Substituting the given values, we have:

mass (m) = 1.35 newtons / 1.5 meters/second^2

Simplifying this expression, we can divide 1.35 newtons by 1.5 meters/second^2:

mass (m) = 0.9 kilograms

Therefore, the mass of the book is 0.90 kilograms.

0.45 kilograms