You and a friend are pulling on a rope in opposite directions as hard as you can? What is the “equal and opposite force” to the force of your hand pulling on the rope described by Newtons Third Law?
A. The force of your arm pulling back on your hand.
B. The force of the rope pulling your friend’s hand.
C. The force of your friend pulling on the rope in the opposite direction.
D. The force of the rope pulling on your hand in the opposite direction.
E. The force of friction between the ground and your shoes.

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 ⇒

The slope of a velocity time graph over any interval of time gives the during that interval

An object's buoyant force and weight mean the same thing. a. trueb. false