Question

a large wedge with a mass of 10 kg rests on a horizontal frictionless surface, as shown. a block with a mass of 5.0 kg starts from rest and slides down the inclined surface of the wedge, which is rough. at one instant the vertical component of the block's velocity is 3.0 m/s and the horizontal component is 6.0 m/s. at that instant the velocity of the wedge is: group of answer choices 6.0 m/s, right 6.0 m/s, left 3.0 m/s left 3.0 m/s, right 17 m/s, right

Answer 1

The velocity of the wedge is 6.0 m/s to the right.

Step-by-step explanation:

The wedge and block system can be considered as one object, since they are in contact and move together. The vertical component of the block's velocity is 3.0 m/s, and the horizontal component is 6.0 m/s. This means that the block is moving downward towards the right.

Since the wedge and block move together, the velocity of the wedge is also 6.0 m/s to the right.