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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A small block of mass m1 = 0.500 kg is released from rest at the top of a curved wedge of mass m2 = 3.00 kg, which sits on a frictionless horizontal surface as in Figure P6.73a. When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right, as in Figure P6.73b. (a) What is the velocity of the wedge after the block reaches the horizontal surface? (b) What is the height h of the wedge?

images

Figure P6.73

(a)

To determine
The velocity of the wedge after the block reaches the horizontal surface.

Explanation

The system has zero momentum initially and remains constant the motion. So, when m1 leaves, the equation is,

m2v2+m1v1=0v2=(m1m2)v1

  • m1 is the mass of the block
  • m2 is the mass of the wedge
  • v1 is the velocity when the block leaves the wedge
  • v2 is the velocity of the wedge

Substitute 0.500kg for m1 , 3

(b)

To determine
The height of the wedge.

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