You have a complex waveform made up of a 500 Hz signal with an 8Pa peak amplitude and Odeg starting phase and a 1000 Hz signal with a 2Pa peak amplitude and 90deg starting phase. a. What is the amplitude of the complex waveform at 15ms?
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- An elevator cable breaks when a 950 kg elevator is 24.0 mabove the top of a huge spring (k = 8.50×104 N/m ) at the bottom of the shaft. Calculate the amount the spring compresses (note that here work is done by both the spring and gravity).A 43-kg pole vaulter running at 10 m/s vaults over the bar. Her speed when she is above the bar is 1.5 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar.The dot product (3i - j)•B is?
- A trough is 5 meters long, 1.5 meters wide, and 1 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 1.5 meters). The kg trough is full of water (density 1000- ). Find the amount of work in m3 joules required to empty the trough by pumping the water over the top. (Note: Use g = 9.8 as the acceleration due to gravity.) s2 5m 1.5m 1mKeep the track tilted at 7∘∘ with the horizontal, at let the cart roll downwards. The length of the track is 75 cm. Starting from zero speed at the top of the track, what will be the speed of the cart as it reaches the bottom? Write your answer in m/s, and ignore friction. Mass of the cart = 250 grams.An ideal Spring of negligible mass is 12,00 cm long when nothỉng is attached to ît, When you hang a 3,15-kg weight from it, you measure ſts length to be 13.40 cm, If you wanted to store 10,0 J of potential energy in this spring, what would be ſts total length?
- For the gravitational field of a large massive object, such as the sun, what is the gravitational potential energy of a smaller mass very, very far away? O mgh O 42A 47-kg pole vaulter running at 11 m/s vaults over the bar. Her speed when she is above the bar is 1.2 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar.A tank has the shape of an inverted circular cone (point at the bottom) with height 6 feet and radius 4 feet. The tank is full of water. We pump out water (to a pipe at the top of the tank) until the water level is 3 feet from the bottom. The work W required to do this is given by W = foot-pounds.
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