Researchers said that this fear, called "approach avoidance," is actually an innate tendency.
According to University of Chicago Booth School of Business Professor Christopher K Hsee, we still have negative feelings about things that approach us - even if they objectively are not threatening.
"In order to survive, humans have developed a tendency to guard against animals, people and objects that come near them," Hsee explained.
"This is true for things that are physically coming closer, but also for events that are approaching in time or increasing in likelihood," Hsee said.
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Even seemingly docile entities, such as deer, had a fear factor attached to them since participants could still attach some uncertainty to a wild animal's behaviour.
These initial investigations into approach avoidance are of practical use in a number of areas, researchers said.
Marketers, for example, can use this information to determine if they should gradually move a product closer to viewers in a television commercial, or whether that will actually harm the image of the product.
"Approach avoidance is a general tendency, humans don't seem to adequately distinguish between times they should use it and when they should not," Hsee added.
"They tend to fear approaching things and looming events even if objectively they need not fear," he said.
The study was published in the Journal of Personality and Social Psychology.