Question

A 2.0 kg otter starts from rest at the top of a muddy incline 85 cm long and slides down to the bottom in 0.50 s. What net force acts on the otter along the incline?

Answer 1

Answer:

The net force acting on the otter along the incline is 13.96 N.

Explanation:

It is given that,

Mass of the otter, m = 2 kg

Distance covered by otter, d = 85 cm = 0.85 m

It takes 0.5 seconds.

We need to find the net force acts on the otter along the incline. If a is the acceleration of the otter. It can be calculated using second equation of motion as :

$d=ut+\dfrac{1}{2}at^2$

Here, u = 0 (at rest)

$d=\dfrac{1}{2}at^2$

$a=\dfrac{2d}{t^2}$

$a=\dfrac{2\times 0.85}{0.5^2}$

$a=6.8\ m/s^2$

The net force acting on the otter along the incline is given by :

F = ma

$F=2\ kg\times 6.8\ m/s^2$

F = 13.6 N

So, the net force acting on the otter along the incline is 13.96 N. Hence, this is the required solution.