How Do You Solve Atwood's Machine Problems Involving a Car and a Rock?

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To solve the Atwood's Machine problem involving a car and a rock, one must first analyze the forces acting on both the car and the rock. The car, with a mass of 1000 kg, experiences a downward force due to the tension in the rope caused by the 50 kg rock. By applying Newton's second law, the acceleration of the car can be calculated based on the net force acting on it. Additionally, using the calculated acceleration, the time available for the occupants to escape before the car goes over the cliff can be determined. Understanding the relationship between the masses and the forces is crucial for solving this type of problem effectively.
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Good day! Guys pls help me...here is the problem...
Kefer and Kaye Ace are parked from the edge of a cliff in a sports car whose mass, including that of the occupants, is 1000.0 kg. A jealous suitor ties a rope to the car's bumper and a 50.0 kg rock at the end of the rope. He then lowers the rock over the cliff, and the car, in neutral, accelerates toward the cliff(we ignore all friction forces).
a. Calculate the car's acceleration.
b. How much time do the lovers have to leap from the car before it is pulled over the cliff?

Thank you so much. I really need the answer and explanation. Thank for your time. have a great day...
 
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