The system is initially moving with the cable taut, the 15-kg block moving down the rough incline with a speed of 0.080 m/s, and the spring stretched 39 mm. By the method of this article, (a) determine the velocity v of the block after it has traveled 99 mm, and (b) calculate the distance d traveled by the block before it comes to rest.

Solution :

The spring is expanded by 2 times of the block when it moves down an inclined by x times.

Here, = 39 mm

        = 225 mm

a). From the work energy principal,

   Work forces = kinetic energy

b). calculating the distance travelled by the block before it comes to rest.

Substitute the value of in (1),

x = 0.20 m

answer:

50 vo; ts

explanation: