A student applies an upward force of 58 N to a 5.1-kg physics textbook. Find the book’s acceleration (positive for up, negative for down).
Net force = 58N -5.1*9.8 = F
Acceleration (upwards)
= F/mass
= F/5.1 m/s²
1.57
To find the book's acceleration, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
Given:
Force (F) = 58 N
Mass (m) = 5.1 kg
We can rearrange the equation to solve for acceleration:
a = F / m
Substituting the given values:
a = 58 N / 5.1 kg
Now, we can calculate the acceleration:
a ≈ 11.3725 m/s²
Since the student is applying an upward force, the acceleration would be positive. Thus, the book's acceleration is approximately 11.3725 m/s² upwards.