Mechanics - Laws of Motion

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Q1. A 6 kg object is pushed with a force of 18 N. What is the resulting acceleration? (2023)

Solution:

Using F = ma, a = F/m = 18 N / 6 kg = 3 m/s².

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Q2. If a force of 10 N is applied to a mass of 2 kg, what will be the acceleration of the mass? (2019)

Solution:

Using F = ma, a = F/m = 10 N / 2 kg = 5 m/s².

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Q3. A 12 kg object is pulled with a force of 48 N. If the frictional force is 12 N, what is the acceleration of the object? (2023)

Solution:

Net force = 48 N - 12 N = 36 N. Acceleration a = F/m = 36 N / 12 kg = 3 m/s².

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Q4. A 20 kg object is acted upon by a net force of 80 N. What is the acceleration of the object? (2023)

Solution:

Acceleration = Net force / Mass = 80 N / 20 kg = 4 m/s².

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Q5. If a force of 50 N is applied to a 25 kg object, what is the resulting acceleration? (2022)

Solution:

Acceleration = Force / Mass = 50 N / 25 kg = 2 m/s².

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Q6. A 10 kg object is at rest. A force of 30 N is applied to it. What will be its velocity after 3 seconds? (2023)

Solution:

First, find acceleration: a = F/m = 30 N / 10 kg = 3 m/s². Then, using v = u + at, v = 0 + 3 m/s² × 3 s = 9 m/s.

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Q7. A force of 50 N is applied to a 25 kg object. What is the acceleration of the object? (2019)

Solution:

Using F = ma, a = F/m = 50 N / 25 kg = 2 m/s².

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Q8. A 15 kg box is pushed with a force of 60 N. If the frictional force is 15 N, what is the acceleration of the box? (2023)

Solution:

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

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Q9. A force of 100 N is applied to a 50 kg object. What is the resulting acceleration? (2023)

Solution:

Using F = ma, a = F/m = 100 N / 50 kg = 2 m/s².

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Q10. A 10 kg object is subjected to a net force of 30 N. What is the object's acceleration? (2019)

Solution:

Using F = ma, a = F/m = 30 N / 10 kg = 3 m/s².