Q 3. Three cars are traveling at 30km/h, 50km/h and 200km/h, respectively. Each speed corresponds to a certain kinetic energy. a)  Note down the expression for the kinetic energy of a moving object with a velocity v. b)  Note down the potential energy for an object lifted up from the ground to height h. c)  Based on a) and b) find an expression for the height as a function of velocity by assuming that the kinetic energy equals the potential energy of the same object. In other words find h(v) from which the object would need to be dropped and calculate the height so it has a speed of 30 km/h, 50 km/h or 200 km/h on impact with the ground. Assume free fall without air resistance d)  Comment on your chances of survival if you are involved in head-on collisions for the three different speeds.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 65P: A block of mass 200 g is attached at the end of a massless spring of spring constant 50 N/m. The...
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Q 3. Three cars are traveling at 30km/h, 50km/h and 200km/h, respectively. Each speed corresponds to a certain kinetic energy. a)  Note down the expression for the kinetic energy of a moving object with a velocity v. b)  Note down the potential energy for an object lifted up from the ground to height h. c)  Based on a) and b) find an expression for the height as a function of velocity by assuming that the kinetic energy equals the potential energy of the same object. In other words find h(v) from which the object would need to be dropped and calculate the height so it has a speed of 30 km/h, 50 km/h or 200 km/h on impact with the ground. Assume free fall without air resistance d)  Comment on your chances of survival if you are involved in head-on collisions for the three different speeds.
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