Two stretched strings are placed next to one another, one with a length of 70.0 cm and the other with a length of 84.0 cm. the two strings have the same mass per unit length. you pluck the shorter one so that it vibrates at its fundamental frequency. you then adjust the tension in the longer string until it resonates with the first one. to resonate, the two strings must have the same fundamental frequency, so that vibrations on one string can cause the second string to vibrate. (a) what is the ratio of the speed of waves on the shorter string to the speed of waves on the longer string? (b) what is the ratio of the tension in the shorter string to the tension in the longer string?

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 710 n/m. it is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. a) what is the block's initial mechanical energy? b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

J. j. thomson’s experiment disproved the theory that an atom

How does the entropy of steam compare to the entropy of ice?