After the impact, the puck rolled on a horizontal surface to a stop of 10 m. Find the speed that the puck

After the impact, the puck rolled on a horizontal surface to a stop of 10 m. Find the speed that the puck received as a result of the impact, if the coefficient of friction is 0.2.

S = 10 m.

V = 0 m / s.

g = 9.8 m / s ^ 2.

μ = 0.2.

V0 -?

When moving, only the friction force Ffr acts on the washer, since the force of gravity is compensated by the reaction force of the ice.

The friction force Ffr is determined by the formula: Ffr = μ * m * g, where μ is the coefficient of friction, m is the mass of the washer, g is the acceleration of gravity.

Let’s write 2 Newton’s law: m * a = Ftr.

m * a = μ * m * g.

a = μ * g.

For uniformly accelerated motion, the following formula is valid: a = (V ^ 2 – V0 ^ 2) / 2 * S.

Since V = 0, the formula will take the form: a = – V0 ^ 2/2 * S.

The “-” sign indicates that the acceleration is directed in the opposite direction of the movement.

μ * g = V0 ^ 2/2 * S.

The formula for determining the initial speed of the washer will be: V0 = √ (2 * S * μ * g).

V0 = √ (2 * 10 m * 0.2 * 9.8 m / s ^ 2) = 6.26 m / s.

Answer: the initial speed of the washer movement is V0 = 6.26 m / s.