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If a 2 kg object is moving with a velocity of 3 m/s and a force of 6 N is applie

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Question: If a 2 kg object is moving with a velocity of 3 m/s and a force of 6 N is applied in the opposite direction, what will be its final velocity after 2 seconds?

Options:

  1. 0 m/s
  2. 1 m/s
  3. 2 m/s
  4. 3 m/s

Correct Answer: 1 m/s

Solution:

Net force = -6 N, acceleration = F/m = -6 N / 2 kg = -3 m/s². Final velocity = initial velocity + at = 3 m/s + (-3 m/s² * 2 s) = 0 m/s.

If a 2 kg object is moving with a velocity of 3 m/s and a force of 6 N is applie

Practice Questions

Q1
If a 2 kg object is moving with a velocity of 3 m/s and a force of 6 N is applied in the opposite direction, what will be its final velocity after 2 seconds?
  1. 0 m/s
  2. 1 m/s
  3. 2 m/s
  4. 3 m/s

Questions & Step-by-Step Solutions

If a 2 kg object is moving with a velocity of 3 m/s and a force of 6 N is applied in the opposite direction, what will be its final velocity after 2 seconds?
Correct Answer: 0 m/s
  • Step 1: Identify the mass of the object, which is 2 kg.
  • Step 2: Identify the initial velocity of the object, which is 3 m/s.
  • Step 3: Identify the force applied, which is 6 N in the opposite direction.
  • Step 4: Determine the net force acting on the object. Since the force is in the opposite direction, it will be -6 N.
  • Step 5: Calculate the acceleration using the formula: acceleration = net force / mass. Here, acceleration = -6 N / 2 kg = -3 m/s².
  • Step 6: Use the formula for final velocity: final velocity = initial velocity + (acceleration * time). Here, time is 2 seconds.
  • Step 7: Substitute the values: final velocity = 3 m/s + (-3 m/s² * 2 s).
  • Step 8: Calculate the final velocity: final velocity = 3 m/s - 6 m/s = -3 m/s.
  • Step 9: Since the final velocity is negative, it means 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.
  • Kinematics – The equations of motion that relate initial velocity, final velocity, acceleration, and time.
  • Direction of Forces – Understanding that forces can act in opposite directions and how this affects motion.
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