A 3 kg block is pulled with a force of 12 N. If the frictional force is 3 N, wha
Practice Questions
Q1
A 3 kg block is pulled with a force of 12 N. If the frictional force is 3 N, what is the acceleration of the block?
3 m/s²
4 m/s²
2 m/s²
1 m/s²
Questions & Step-by-Step Solutions
A 3 kg block is pulled with a force of 12 N. If the frictional force is 3 N, what is the acceleration of the block?
Correct Answer: 3 m/s²
Step 1: Identify the mass of the block, which is 3 kg.
Step 2: Identify the applied force, which is 12 N.
Step 3: Identify the frictional force, which is 3 N.
Step 4: Calculate the net force by subtracting the frictional force from the applied force: Net force = 12 N - 3 N.
Step 5: Perform the subtraction: 12 N - 3 N = 9 N. So, the net force is 9 N.
Step 6: Use the formula for acceleration, which is a = F/m, where F is the net force and m is the mass.
Step 7: Substitute the values into the formula: a = 9 N / 3 kg.
Step 8: Perform the division: 9 N / 3 kg = 3 m/s².
Step 9: Conclude that the acceleration of the block is 3 m/s².
Newton's Second Law of Motion – 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.
Frictional Force – Understanding how friction opposes motion and affects the net force acting on an object.
Net Force Calculation – The process of determining the net force by subtracting friction from the applied force.