The net force acting on a block of mass 7.40 kg that is initially at rest is 25.0 N in the positive x-direction. What is the block's acceleration (in m/s2)?
To find the block's acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The formula for Newton's second law is:
F = m * a
Where F is the net force, m is the mass of the object, and a is the acceleration.
In this case, we are given the net force (F = 25.0 N) and the mass of the block (m = 7.40 kg). We need to solve for the acceleration (a).
Rearranging the formula, we have:
a = F / m
Plugging in the values, we get:
a = 25.0 N / 7.40 kg
Dividing 25.0 N by 7.40 kg, we get:
a ≈ 3.38 m/s²
Therefore, the block's acceleration is approximately 3.38 m/s².