During friction welding, one solid is held stationary, while the other is rapidly vibrated sinusoidally at a frequency of 250 Hz. It oscillates between positive and negative positions of 2.5 mm. The coefficient of friction between the two surfaces is 0.3. Determine the compressive force (in Newtons and lbf) that must be applied to heat the metal to the melting point 1 mm below interface within 3 s. Because the vibrations occur so quickly, it's reasonable to assume that the heat flux is some average value that does not vary over time. Make the calculation first for titanium and then for carbon steel. The surfaces have a length of 100 mm in the direction of vibration and 50 mm in the other direction. Is the required normal force greater for one metal than the other

Jasmine is diving off a 3-meter springboard. her height in meters above the water when she is x meters horizontally from the end of the board is approximated by the equation h=-x^2+3x+3. what is the maximum height jasmine will reach on her dive?

Explain the difference between each pair of concepts. a. frequency and relative frequency b. percentage and relative frequency a. select the correct choice below. a. frequency is the total number of observations in a data set. relative frequency is the number of times a particular distinct value occurs. b. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of a value to the total number of observations. c. frequency is the total number of observations in a data set. relative frequency is the ratio of the number of times a particular distinct value occurs to the frequency. d. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of two different values.

Asap i'm in class rn a 1,000-kg car is traveling 20 m/s on a flat stretch of road. it gets to a hill and coasts uphill until it stops. how high up the hill does the car travel? givens: equation: 1/2mv2initial=mghfinal solve for h. plug & chug, label.