A 3 kg object is moving with a velocity of 4 m/s. If a force of 12 N is applied

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Question: A 3 kg object is moving with a velocity of 4 m/s. If a force of 12 N is applied in the opposite direction, what will be its velocity after 2 seconds?

Options:

0 m/s
2 m/s
4 m/s
6 m/s

Correct Answer: 2 m/s

Solution:

Acceleration = F/m = -12 N / 3 kg = -4 m/s². Change in velocity = a * t = -4 m/s² * 2 s = -8 m/s. Final velocity = 4 m/s - 8 m/s = -4 m/s (object stops).

A 3 kg object is moving with a velocity of 4 m/s. If a force of 12 N is applied

Practice Questions

A 3 kg object is moving with a velocity of 4 m/s. If a force of 12 N is applied in the opposite direction, what will be its velocity after 2 seconds?

0 m/s
2 m/s
4 m/s
6 m/s

Questions & Step-by-Step Solutions

A 3 kg object is moving with a velocity of 4 m/s. If a force of 12 N is applied in the opposite direction, what will be its velocity after 2 seconds?

Step 1: Identify the mass of the object, which is 3 kg.
Step 2: Identify the initial velocity of the object, which is 4 m/s.
Step 3: Identify the force applied, which is 12 N in the opposite direction.
Step 4: Calculate the acceleration using the formula: Acceleration = Force / Mass.
Step 5: Substitute the values: Acceleration = -12 N / 3 kg = -4 m/s² (the negative sign indicates the force is in the opposite direction).
Step 6: Calculate the change in velocity using the formula: Change in velocity = Acceleration * Time.
Step 7: Substitute the values: Change in velocity = -4 m/s² * 2 s = -8 m/s.
Step 8: Calculate the final velocity using the formula: Final velocity = Initial velocity + Change in velocity.
Step 9: Substitute the values: Final velocity = 4 m/s + (-8 m/s) = -4 m/s.
Step 10: Interpret the final velocity: A negative velocity indicates the object is moving in the opposite direction.

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.
Acceleration – The rate of change of velocity of an object, calculated as the net force divided by mass.
Velocity Change – The change in velocity over a period of time due to acceleration.
Direction of Forces – Understanding that forces can act in opposite directions and affect the motion of an object.

A 3 kg object is moving with a velocity of 4 m/s. If a force of 12 N is applied

What’s inside this PDF?

A 3 kg object is moving with a velocity of 4 m/s. If a force of 12 N is applied

Practice Questions

Questions & Step-by-Step Solutions

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