Question

A 12 kg wax paper block slides across a table at an initial velocity of 25 m/s.

How far will the block slide before coming to rest?

Answer 1

The block will slide approximately 6.43 meters before coming to rest.

Step-by-step explanation:

The distance the block will slide before coming to rest can be determined using the equations of motion. Since the block is sliding on a table, we assume that there is no friction acting on it. This means that the only force acting on the block is its weight, given by the equation:

Weight = mass x gravity

So, the weight of the block is:

Weight = 12 kg x 9.8 m/s^2 = 117.6 N

Since there is no friction, the force causing the block to come to rest is the force due to acceleration:

Force = mass x acceleration

Using Newton's second law of motion, we can rearrange the equation to solve for acceleration:

Acceleration = Force / mass

Substituting the values, we get:

Acceleration = 117.6 N / 12 kg = 9.8 m/s^2

Now, we can use the equation of motion to determine the distance:

Distance = (Initial velocity)^2 / (2 x acceleration)

Substituting the values, we get:

Distance = (25 m/s)^2 / (2 x 9.8 m/s^2)

Distance = 6.43 m

Therefore, the block will slide approximately 6.43 meters before coming to rest.