A 15 kg box is pushed with a force of 30 N. If the frictional force opposing the
Practice Questions
Q1
A 15 kg box is pushed with a force of 30 N. If the frictional force opposing the motion is 10 N, what is the acceleration of the box?
1 m/s²
2 m/s²
3 m/s²
4 m/s²
Questions & Step-by-Step Solutions
A 15 kg box is pushed with a force of 30 N. If the frictional force opposing the motion is 10 N, what is the acceleration of the box?
Step 1: Identify the mass of the box, which is 15 kg.
Step 2: Identify the applied force pushing the box, which is 30 N.
Step 3: Identify the frictional force opposing the motion, which is 10 N.
Step 4: Calculate the net force acting on the box by subtracting the frictional force from the applied force: Net force = 30 N - 10 N.
Step 5: Perform the subtraction: 30 N - 10 N = 20 N. So, the net force is 20 N.
Step 6: Use the formula for acceleration, which is acceleration (a) = net force (F) / mass (m).
Step 7: Substitute the values into the formula: a = 20 N / 15 kg.
Step 8: Perform the division: 20 N / 15 kg = 1.33 m/s².
Step 9: Conclude that the acceleration of the box is 1.33 m/s².
Newton's Second Law – This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Net Force Calculation – Understanding how to calculate the net force by subtracting friction from the applied force.
Frictional Force – Recognizing the role of friction in opposing motion and how it affects the net force.
