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A 20 kg object is pulled with a force of 100 N. If the frictional force is 40 N,
A 20 kg object is pulled with a force of 100 N. If the frictional force is 40 N, what is the acceleration of the object?
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Q1
A 20 kg object is pulled with a force of 100 N. If the frictional force is 40 N, what is the acceleration of the object?
2 m/s²
3 m/s²
4 m/s²
5 m/s²
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Net force = applied force - friction = 100 N - 40 N = 60 N. Acceleration a = F/m = 60 N / 20 kg = 3 m/s².
Questions & Step-by-step Solutions
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Q
Q: A 20 kg object is pulled with a force of 100 N. If the frictional force is 40 N, what is the acceleration of the object?
Solution:
Net force = applied force - friction = 100 N - 40 N = 60 N. Acceleration a = F/m = 60 N / 20 kg = 3 m/s².
Steps: 9
Show Steps
Step 1: Identify the mass of the object, which is 20 kg.
Step 2: Identify the applied force, which is 100 N.
Step 3: Identify the frictional force, which is 40 N.
Step 4: Calculate the net force by subtracting the frictional force from the applied force: Net force = 100 N - 40 N.
Step 5: Perform the subtraction: 100 N - 40 N = 60 N. So, the net force is 60 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 = 60 N / 20 kg.
Step 8: Perform the division: 60 N / 20 kg = 3 m/s².
Step 9: Conclude that the acceleration of the object is 3 m/s².
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