Question

A homogeneous cylinder and a homogeneous sphere roll without sliding on one
horizontal base. Both bodies have the same mass and the same kinetic
energy. Under these conditions, the following applies:
(a) the speed of the cylinder (translation) is greater than that of the sphere;
(b) the speed of the sphere is greater than that of the cylinder;
(c) both bodies move at the same speed;
(d) which of the statements (a), (b) and (c) is true depends on the bodies'
radius.
Motivate your answer

Answer 1

» V2 =VIR KE = 1 Mur + 1 Tow? Cylinder solid sphere W=WR In MR² I= 2 = MR? 2 as kinetic energy is same for both KE= 1 M +), IW - 1 MU? + 1, X Y MR UZ R² 7 Muz MUR 2 2 I MV? + 1 MR2 V,? 3 4 V₂ = loke Vic 4KE 7M Зм So sphere have more speed than cylinder Answer Ib