Question

In a 92 s interval, 562 hailstones strike a glasswindow of area 1.216 m² at an angle 64° to thewindow surface. Each hailstone has a mass of2 g and speed of 5.8 m/s.If the collisions are elastic, find the averageforce on the window.Answer in units of N.

Answer 1

Given that the number of hailstones is n = 562

The mass of hailstone is m = 2 g = 0.002 kg

The speed of hailstone is v = 5.8 m/s

The time taken will be t = 92 s

The angle is

`\theta=64^(\circ)`

We have to calculate the force.

The force can be calculated by the formula

`\begin{gathered} F=\text{ force due to one hailstone }* numberofhailstones\text{ } \\ =m(v)/(t)\sin \theta* n \end{gathered}`

Substituting the values, the force will be

`\begin{gathered} F=\text{ }\frac{\text{0.002}*5.8*\sin 64^(\circ)*562}{92} \\ =0.063\text{ N} \end{gathered}`