What is the tension in a rope accelerating a 1000 kg car upward at 0.80 m/s²?

AI Thread Summary
To determine the tension in a rope accelerating a 1000 kg car upward at 0.80 m/s², it is essential to account for both the force needed to overcome gravity and the additional force for acceleration. The gravitational force acting on the car is 9800 N (calculated as 1000 kg multiplied by 9.8 m/s²). The force required for the upward acceleration is 800 N (1000 kg multiplied by 0.80 m/s²). Therefore, the total tension in the rope must be the sum of these two forces, resulting in a required tension of 10600 N. This calculation shows that the rope must withstand a tension of 10600 N to accelerate the car upward effectively.
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Homework Statement



How much tension must a rope withstand if it is used to accelerate a 1000 kg car vertically upward at 0.80 m/s2? Ignore Friction.

Homework Equations



fay= ma ?
mg-fn=0

The Attempt at a Solution



F=MA
F=1000kg * .8
F= 800 WRONG!
 
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It says you're pulling against gravity as the car moves upwards. Means you have to have at least 9800 N just to hold the thing steady. 800 would be right if it was moving vertically.
 
so the question is asking how much tension the rope must endure to accelerate 1000kg at .8m/s/s. So would that mean 9800+800?
 

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