In one of your experiments, you will roll a marble down a ramp to provide an initial horizontal velocity. suppose you start the marble at rest (vo = 0 m/s) and it travels a distance of, d, down the ramp. use 1-d kinematics to predict the velocity of the ball (vf ) at the bottom of the ramp. hint: the acceleration of the ball down the ramp is 9.81*sin(θ) m/s2 where θ is the angle of the ramp. record you answer in variables (you will calculate the velocity with magnitudes when you perform the experiment).

During spring semester at mit, residents of the parallel buildings of the east campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. a balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. assume that the stretching of the hose obeys hooke's law with a spring constant of 89.0 n/m. if the hose is stretched by 5.80 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length? unitst 3 number-1497 the tolerance is +/-5% open show work click if you would like to show work for this question:

What is the stall speed at sea level of an airplane that weights 10000 lbs., has a wing area of 300ft^2, and a maximum lift coefficient of 1.4? what is the stall speed if flaps that double cl,max are applied?

Examine the equation. 23490th→23088ra+42he what kind of barrier would you need to block the radioactive particles from this reaction? a.a piece of paper b.a sheet of aluminum foil c. a two-inch block of lead d. a solid concrete block