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Question 4. A skateboarder of mass m approaches a ramp with height H and an incline angle of 0. You may ignore friction throughout this problem. (a) Draw a FBD for the skater on the ramp. (b) What is the acceleration on the ramp? (c) What is the minimum speed the skateboarder must have at the bottom of the ramp to ensure he reaches the top? (d) Assume he approaches the ramp with a speed greater than the one you found in part (c). How far in the horizontal direction does he travel after leaving the ramp before landing?

Question 4. A skateboarder of mass m approaches a ramp with height H and an incline angle of 0. You may ignore friction throughout this problem. (a) Draw a FBD for the skater on the ramp. (b) What is the acceleration on the ramp? (c) What is the minimum speed the skateboarder must have at the bottom of the ramp to ensure he reaches the top? (d) Assume he approaches the ramp with a speed greater than the one you found in part (c). How far in the horizontal direction does he travel after leaving the ramp before landing?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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please only answer part d

7:41 AM Fri Feb 12 A 95% Dynamics_2 - 5 00 T Question 4. A skateboarder of mass m approaches a ramp with height H and an incline angle of 8. You may ignore friction throughout this problem. Angcos o my (a) Draw an FBD for the skater on the ramp. (b) What is the acceleration on the ramp? (c) What is the minimum speed the skateboarder must have at the bottom of the ramp to ensure he reaches the top? (d) Assume he approaches the ramp with a speed greater than the one you found in part (e). How far in the horizontal direction does he travel after leaving the ramp before landing? b) F- mg sin 0 : 0 Fimgsin 0 ma = mgsin t a= gsin@ is thus the acce leration g sine c) Ex = Ev * mv for Eki where vis the minimum spred of the suater, mgh for Ev in the expression mv²=mgh 2gn min. Speed 6 of 6
Transcribed Image Text:7:41 AM Fri Feb 12 A 95% Dynamics_2 - 5 00 T Question 4. A skateboarder of mass m approaches a ramp with height H and an incline angle of 8. You may ignore friction throughout this problem. Angcos o my (a) Draw an FBD for the skater on the ramp. (b) What is the acceleration on the ramp? (c) What is the minimum speed the skateboarder must have at the bottom of the ramp to ensure he reaches the top? (d) Assume he approaches the ramp with a speed greater than the one you found in part (e). How far in the horizontal direction does he travel after leaving the ramp before landing? b) F- mg sin 0 : 0 Fimgsin 0 ma = mgsin t a= gsin@ is thus the acce leration g sine c) Ex = Ev * mv for Eki where vis the minimum spred of the suater, mgh for Ev in the expression mv²=mgh 2gn min. Speed 6 of 6
Question 4. A skateboarder of mass m approaches a ramp with height H and an incline angle of 0. You may ignore friction throughout this problem. (a) Draw an FBD for the skater on the ramp. (b) What is the acceleration on the ramp? (c) What is the minimum speed the skateboarder must have at the bottom of the ramp to ensure he reaches the top? (d) Assume he approaches the ramp with a speed greater than the one you found in part (c). How far in the horizontal direction does he travel after leaving the ramp before landing?
Transcribed Image Text:Question 4. A skateboarder of mass m approaches a ramp with height H and an incline angle of 0. You may ignore friction throughout this problem. (a) Draw an FBD for the skater on the ramp. (b) What is the acceleration on the ramp? (c) What is the minimum speed the skateboarder must have at the bottom of the ramp to ensure he reaches the top? (d) Assume he approaches the ramp with a speed greater than the one you found in part (c). How far in the horizontal direction does he travel after leaving the ramp before landing?
Expert Solution
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Suppose the velocity of skateboarder is u, then the horizontal component and vertical component of velocity is given by,

ux=ucosθuy=usinθ

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