A solid metal ball and a hollow plastic ball of the same external radius are rel

Question

A solid metal ball and a hollow plastic ball of the same external radius are released from rest in a large vacuum chamber. When each has fallen I m, they both have the same (A) inertia (B) speed (C) momentum (D) kinetic energy (E) change in potential energy A student weighing 700 N climbs at constant speed to the top of an 8 m vertical rope in 10 s. The average power expended by the student to overcome gravity is most nearly (A) 1.1 W (B) 87.5 W (C) 560 W (D) 875 W (E) 5,600 W A railroad car of mass m is moving at speed v when it collides with a second railroad car of mass M which is at rest. The two cars lock together instantaneously and move along the track. What is the speed of the cars immediately after the collision? (A) V/2 (B) M v/M (C) M v/m (D) (m + M) v/m (E) m v/m + M An open cart on a level surface is rolling without frictional loss through a vertical downpour of rain, as shown above. As the cart rolls, an appreciable amount of rainwater accumulates in the cart. The speed of the cart will (A) increase because of conservation of momentum (B) increase because of conservation of mechanical energy (C) decrease because of conservation of momentum (D) decrease because of conservation of mechanical energy (E) remain the same because the raindrops are falling perpendicular to the direction of the cart's motion Units of power include which of the following? I. Watt II. Joule per second III. Kilowatt-hour (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II, and III

Explanation / Answer

here,

1)

the radius of both the balls is same but the mass of balls is different

they have different moment of inertia

when they fallen 1 m

using conservation of energy

they have same change in potential energy and also same kinetic energy

the correct options are D) and E)

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