A student applies an upward force of 49 N to a 5.4-kg physics textbook. Find the book’s acceleration (positive for up, negative for down).
F = m a, so a = F/m = 49/5.4 = 9.1 m/s^2
The acceleration will be in the same direction as the force.
To find the book's acceleration, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.
The formula for Newton's second law is:
F = m * a
Where:
F is the force applied to the object
m is the mass of the object
a is the acceleration of the object
In this case, the force applied is 49 N and the mass is 5.4 kg. We need to find the acceleration (a).
So, rearranging the formula, we have:
a = F / m
Substituting the values, we get:
a = 49 N / 5.4 kg
Calculating this, we find that the book's acceleration is approximately 9.07 m/s^2.
Since the student is applying an upward force, the acceleration will be positive, indicating that the book is accelerating upward.