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2004APFinalFRSolutionsv1

2004APFinalFRSolutionsv1 - PHYSICS AP FALL SEMESTER...

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PHYSICS AP FALL SEMESTER 2003-2004 FINAL EXAMINATION VERSION 1 PART TWO: FREE RESPONSE QUESTIONS SOLVE THE FOLLOWING PROBLEMS. WRITE YOUR ANSWERS ON THE ANSWER SHEET. DO NOT WRITE ON THIS PAPER. IF THE ANSWER IS A VECTOR, REPORT MAGNITUDE AND DIRECTION. A 500-kg gorilla is hugging a large rocket that blasts off, moving vertically upwards. A constant upward force of 1.0 x 10 5 N acts on the gorilla as he rises from the surface. When the gorilla reaches 50000 m, he lets go of the rocket. Ignore the rotation of the Earth. 1) What is the maximum altitude of the gorilla? ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 11 24 6 6 5 4 6 11 24 6 6 6 : 6.67 10 500 5.98 10 6.38 10 6.38 10 1 10 5 10 6.38 10 6.67 10 500 5.98 10 7.60 10 6.38 10 1.21 10 o f o o o o GmM GmM GmM Conservation of Energy Fx r r r h GmMr h r Fxr GmM h m if you incorrectly assume g co - - - = - = + - × × × - = - = - × - × × × - × × = × - × = × = ( 29 ( 29 ( 29 ( 29 5 4 6 , : 1 10 5 10 1.02 10 16% 500 9.8 nstant then Fx mgh Fx h m error mg × × = = = = × = The center of a block is connected by a bungee cord to the ceiling, as shown at right. The block has mass m = 100 kg. The bungee cord has spring constant k = 200 N/m and unstretched length L = 30 cm. The block is released from rest at the position shown, and slides to the right. The floor is frictionless.
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