A sphere of radius r₁ collides with a sphere of radius r₂.The cross section for a contact collision is A)$\pi$r B)2$\pi$r₂ C)½$\pi$(r₁ + r₂)² D)$\pi$(r₁ + r₂)²

Question

Quizplus · Accepted Answer

The cross section for a contact collision is the area of the circle formed by the intersection of the two spheres at the point of contact. This is given by the formula for the area of a circle: A = πr^2, where r is the radius of the circle. In this case, the radius of the circle is the average of the radii of the two spheres, which is (r₁ + r₂)/2. Therefore, the cross section for a contact collision is: A = π[((r₁ + r₂)/2)^2] Simplifying this expression, we get: A = π(r₁ + r₂)^2/4 The correct answer is therefore D.

A Sphere of Radius R1 Collides with a Sphere of Radius

A Sphere of Radius R₁ Collides with a Sphere of Radius