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Physics / Physics: Principles with Applications 6 / Chapter 2 / Problem 61GP

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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Suppose a car manufacturer tested its cars for front-end collisions by hauling them up

Chapter 2, Problem 61GP

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QUESTION:

Suppose a car manufacturer tested its cars for front-end collisions by hauling them up on a crane and dropping them from a certain height, (a) Show that the speed just before a car hits the ground, after falling from rest a vertical distance H, is given by $\sqrt{2gH}$ . What height corresponds to a collision at (b) 60 km/h? (c) 100 km/h?

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QUESTION:

Suppose a car manufacturer tested its cars for front-end collisions by hauling them up on a crane and dropping them from a certain height, (a) Show that the speed just before a car hits the ground, after falling from rest a vertical distance H, is given by $\sqrt{2gH}$ . What height corresponds to a collision at (b) 60 km/h? (c) 100 km/h?

ANSWER:

Solution 61GP

Part (a)

Step 1 of 4:

A car manufacturer tests the car’s front-end by dropping the car at a height H. We are going to find the speed of the car just before it hits the ground.

The motion of the car is acted by the gravity. It has a constant acceleration g. The equation of motion relates the falling of the car is expressed as

Here v is the final speed of the car

voy is the initial speed of the car and it is zero

Δy is the vertical displacement of the car.

The vertical displacement of the car is nothing but the height at which the car is dropped.

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