Three carts of masses m1 = 4.00 kg, m2 = 10.0 kg, and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of v1 = 5.00 m/s to the right, v2 = 3.00 m/s to the right, and v3 = 4.00 m/s to the left as shown. velcro couplers make the carts stick together after colliding. find the final velocity of the train of three carts

Wo audio speakers are placed on a vertical rail. speaker a is placed at head-level while speaker b is place at some variable height, \delta yδy, above speaker a. both speakers receive simultaneous input from a sine-wave generator so the speakers each produce a pure sinusoidal sound wave with a wavelength of 0.531 meters. calculate the lowest height that speaker b can be placed above speaker a to produce a minimum of sound heard by person standing \delta x = 7.86δx=7.86 meters directly in front of speaker a.

Complete the sentence to describe the law of conservation of energy. the law of conservation of energy states that energy cannot be created or , but it can be

Astudent pushes on a 20.0 kg box with a force of 50 n at an angle of 30° below the horizontal. the box accelerates at a rate of 0.5 m/s2 across a horizontal floor. what is the value of the normal force on the box? 200 n 243 n 156 n 225 n