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

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In summary, a sports car with a mass of 1000.0 kg, including the occupants, is parked on the edge of a cliff with a rope tied to its bumper and a 50.0 kg rock at the end. The jealous suitor lowers the rock over the cliff causing the car, in neutral, to accelerate towards the cliff. We can ignore all friction forces in this scenario. To solve this problem, we need to calculate the car's acceleration and determine how much time the lovers have to leap from the car before it is pulled over the cliff. However, it is important to note that no help can be given unless the person attempting the problem shows their own effort and ideas for solving it.
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poloy35
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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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You can't receive any help unless you show you have attempted the problem yourself. What ideas do you have as how to proceed with this type of question?
 

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

What is Atwood's Machine?

Atwood's Machine is a physics apparatus used to demonstrate the principles of mechanical advantage and acceleration due to gravity. It consists of two masses connected by a pulley and a string, with one mass hanging off the edge of the pulley.

How do you solve Atwood's Machine problems?

To solve Atwood's Machine problems, you first need to identify the masses, the direction of acceleration, and the pulley's mass and radius. Then, you can use Newton's Second Law and the equations for mechanical advantage to calculate the acceleration, tension in the string, and the force exerted on each mass.

What are common mistakes when solving Atwood's Machine problems?

Common mistakes when solving Atwood's Machine problems include forgetting to include the mass and radius of the pulley, using incorrect signs for acceleration and tensions, and not considering the effects of friction. It is important to carefully review all variables and equations before solving the problem.

How does the mass and pulley radius affect Atwood's Machine?

The mass and pulley radius affect Atwood's Machine by changing the mechanical advantage and the acceleration. A larger pulley radius will result in a smaller tension in the string and a smaller acceleration, while a larger mass will result in a larger tension and acceleration.

What are real-life applications of Atwood's Machine?

Atwood's Machine has many real-life applications, including elevators, cranes, and ski lifts. It is also used in physics experiments to study the principles of acceleration and mechanical advantage. Additionally, the concept of Atwood's Machine is used in the design of various machines and structures in engineering.

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