A spring is used to launch a marble at a 30o angle. The spring has a constant of 55N/m. The marble has a mass of 0.01kg. Before launch, the spring is compressed by 0.05m. a. Calculate the launch speed of the marble (note: you may assume the spring simply hits the marble, so there is no change in height during the actual launch). (3 points) b. The barrel of the launcher is 1.25m above the floor. Calculate how far the marble lands from the base of the launcher. (6 points)

In what direction does the medium move relative to the direction of the wave? explain.

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 790 n/m. it is initially at rest on an inclined plane that is at an angle of 28 degrees with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is k = 0.14. in the initial position, where the spring is compressed by a distance of a = 0.18 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. 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.

Aparticle initially moving east with a speed of 20.0 m/s, experiences an acceleration of 3.95 m/s, north for a time of 8.00 s. what was the speed of the particle after this acceleration, in units of m/s? give the answer as a positive number.