Solving Static Friction: 3 kg Block & 99 N/m Spring

[glasshut137]

Homework Statement

A 3 kg block collides with a massless spring of spring constant 99 N/m attached to a wall. The speed of the block was observed to be 1.5 m/s at the moment of collision.

(3 of 3) Given: the coefficient of static friction between the floor and the block is .703416. Does the block remain at rest or does it bounce back off of the spring once the spring is fully compressed?

The Attempt at a Solution

I already solved the first 2 parts of the question, i found that the spring will compress 26.11 cm. Also, I found that the coefficient of kinetic friction is .467 if the maximum distance to which the spring is compressed is 15.667 cm.

My guess is that the block would remain at rest because it would would a larger force to break through the force of static friction. Can someone tell me if I'm right or wrong and can please explain? thanks so much.

 

[kamerling]

Well you can computer the force of the spring and the static friction and check if the force that the spring exerts is indeed too small.
This shouldn't be hard since you correctly answered 1&2 and computed the compression of the spring

 

[Moetasim]

I would agree with your conclusion that the block would most likely remain at rest after colliding with the spring. This is because the force of static friction, which resists the motion of the block, is greater than the force exerted by the spring. Since the block is initially moving at a speed of 1.5 m/s, it would require a greater force to overcome the static friction and continue moving. Therefore, the block would most likely stay at rest once the spring is fully compressed. However, it is important to note that there are other factors that could affect the outcome, such as the surface of the floor and the accuracy of the given coefficient of static friction. Further experimentation or calculations may be needed to determine the exact outcome.