an object with a eight of 19.6N moves with a constant velocity of 20.0m/s. A net Force of 6.00 N is applied to the object in the direction of its motion for 4.00 seconds. What is the final momentum of the object?
To find the final momentum of the object, we need to use the formula:
Momentum (p) = Mass (m) × Velocity (v)
The formula for force is:
Force (F) = Mass (m) × Acceleration (a)
Since the object is moving with a constant velocity, we know that the acceleration is zero. Therefore, we can rearrange the force formula to solve for mass:
Mass (m) = Force (F) / Acceleration (a)
Substituting the given values, we have:
Mass (m) = 19.6 N / 0 m/s^2
Mass (m) = 19.6 kg
Now that we have the mass of the object, we can calculate the initial momentum:
Initial Momentum (p_initial) = Mass (m) × Velocity (v_initial)
Since the object was already moving with a constant velocity, the initial momentum is the same as the final momentum. Therefore:
Final Momentum (p_final) = Initial Momentum (p_initial) = Mass (m) × Velocity (v_initial)
Substituting the given values:
Final Momentum (p_final) = 19.6 kg × 20.0 m/s
Final Momentum (p_final) = 392 kg·m/s
Therefore, the final momentum of the object is 392 kg·m/s.