A block of 10 glides on smooth horizontal surface with 20m/s towards a spring of spring constant 100N/m placed horizontally. What is the maximum compression in sprig ?

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4. Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w (see Fig.). Assume that w is a function of the sign width, b; sign height, h; wind velocity, V; air density, p; and an elastic constant, k, for the supporting pole. The constant, k, has dimensions of Nm. (a) Develop a suitable set of pi terms for this problem using b, V, and p as repeating variables. (b) List all the other possible combinations of repeating variables that could have been utilized for this problem. SPEED LIMIT 40

Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial diamond of volume 1.28 ✕ 10−6 m3 is formed under a pressure of 4.60 GPa. Find the change in its volume (in m3) when it is released from the press and brought to atmospheric pressure. Take the diamond's bulk modulus to be B = 194 GPa. (Assume the system is at sea level.)

Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial diamond of volume 1.12 ✕ 10−6 m3 is formed under a pressure of 5.50 GPa. Find the change in its volume (in m3) when it is released from the press and brought to atmospheric pressure. Take the diamond's bulk modulus to be B = 194 GPa. (Assume the system is at sea level.)