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A 15 kg box is pushed with a force of 60 N on a rough surface with a frictional
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?
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Q1
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?
3 m/s²
4 m/s²
5 m/s²
6 m/s²
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Net force = 60 N - 15 N = 45 N. Acceleration a = F/m = 45 N / 15 kg = 3 m/s².
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution:
Net force = 60 N - 15 N = 45 N. Acceleration a = F/m = 45 N / 15 kg = 3 m/s².
Steps: 8
Show Steps
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.
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