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.