Question

an object that can slide easily on a frozen pond is given an initial speed of 50.0m/s. the if the object always remains on the icy surface and slides 190m before coming to the rest, determine the coefficient friction between the object of the ice

Answer 1

According to Newton’s second law:

$$F = ma$$

$$ma = F_{friction} + N + mg$$

$$OX: ma = F_{friction}$$

$$F_{friction} = \mu N$$ $$N = mg$$

$$ma = \mu mg$$

$$a = \mu g$$

$$\mu = a/g$$

Wherein:

$$S = {v^2 -v_0^2 \over 2a} = {v_0^2 \over 2a}$$

From here:

$$a = {v_0^2 \over 2S} = {250 \over 380} = 0.66 m/s^2$$

As a result:

$$\mu = 0.66/10 = 0.066$$

Answer: 0.066