A small steel ball bearing with a mass of 15.0 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.21 m. Calculate the horizontal distance the ball would travel if the same spring were aimed 31.0 deg from the horizontal.

Horizontal Distance d=2.14 m

Explanation:

Given data

Mass m=15.0 g =0.015 kg

Height h=1.21 m

Angle α=31.0°

To find

Horizontal distance d

Solution

The horizontal distance as given as:

First We need to find the initial velocity Vi

So

Substitute the given values and initial velocity to find horizontal distance:

So

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