Question

A block sild down a smooth incline at (7+X/2) degrees at 2 m/s/s The gravity of that planet would be using Lab 5 results How many seconds would it take for the block to slide 12 meters along the incline:

Answer 1

It will take approximately 3.46 seconds for the block to slide 12 meters down an incline with an acceleration of 2 m/s^2.

Step-by-step explanation:

To determine the time it will take for the block to slide 12 meters down an incline with an acceleration of 2 m/s2, we can use the kinematic equation:

s = ut + \frac{1}{2}at^2

where:

• s is the distance (12 meters),
• u is the initial velocity (0 m/s as it starts from rest),
• a is the acceleration (2 m/s2), and
• t is the time in seconds, which we need to find.

Plugging in the known values, we get:

12 = 0 * t + \frac{1}{2} * 2 * t^2

Which simplifies to:

12 = t^2

Taking the square root of both sides yields:

t = \sqrt{12} \approx 3.46 seconds

Therefore, it will take approximately 3.46 seconds for the block to slide 12 meters down the incline.