A 15 kg box is pushed with a force of 60 N on a rough surface with a frictional

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Question: A 15 kg box is pushed with a force of 60 N on a rough surface with a frictional force of 15 N. What is the box\'s acceleration?

Options:

Correct Answer: 4 m/s²

Solution:

Net force = 60 N - 15 N = 45 N. Acceleration a = F/m = 45 N / 15 kg = 3 m/s².

A 15 kg box is pushed with a force of 60 N on a rough surface with a frictional force of 15 N. What is the box's acceleration?

A 15 kg box is pushed with a force of 60 N on a rough surface with a frictional force of 15 N. What is the box's acceleration?

Step 1: Identify the mass of the box, which is 15 kg.
Step 2: Identify the applied force, which is 60 N.
Step 3: Identify the frictional force, which is 15 N.
Step 4: Calculate the net force by subtracting the frictional force from the applied force: Net force = 60 N - 15 N.
Step 5: Perform the subtraction: 60 N - 15 N = 45 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 = 45 N / 15 kg.
Step 8: Perform the division: 45 N / 15 kg = 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 frictional force from the applied force.