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## You are driving at a reasonable constant velocity in a van with a windshield tilted 120o relative to the horizontal. As you pass under a u

Question

You are driving at a reasonable constant velocity in a van with a windshield tilted 120o relative to the horizontal. As you pass under a utility worker fixing a power line, the worker’s wallet falls onto the windshield. Determine the acceleration needed by the van so that the wallet stays in place if frictional forces are negligible.

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Physics
2 months
2021-07-30T01:23:50+00:00
2021-07-30T01:23:50+00:00 1 Answers
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## Answers ( )

The vectors are broken into components in orthogonal directions.The orthogonal vector components are treated independently of each other.

The acceleration of van is a= 11 m/s ²

Explanation:We can solve this problem based on its accelerations , The acceleration due to gravity will have two components relative to the windshield, parallel and perpendicular, given by

g║= g sin θg⊥ = g cosθThe acceleration due to van will also have same two components , but the acceleration is along the horizontal, than vertical the trig functions will be opposite what they were for gravity.

a║= a cos θ

a⊥= a sin θ

To isolate the van’s acceleration

a= g sin (θ) ± μs cos (θ) / cos (θ) ± μs sin (θ)

θ = 180°- 120°

= 60°

We can assume that van is not decelerating with 30 g’s and giving the acceleration of the van as

a= 11 m/s²