A block of mass, 25.7 kg, starts at rest at the top of a frictionless ramp that makes an angle of 45.6 ^\circ ∘ below the horizontal. After it slides without friction down the entire length of the ramp, it begins to slide horizontally along a rough concrete surface with a coefficient of kinetic friction of \mu_kμ k = 0.545 until it slows to a complete stop. The initial height of the block at the top of the ramp is 1.79 meters. How far does the block slide horizontally along the concrete before it stops? [Note : this question may contain more information than is necessary to solve the problem.]

Aregular polygon has angkes of size 150° each. how many side has the polygon

What is the magnitude of the resultant vector round your answer to the nearest tenth

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒