Question

PLEASE ANSWER ALL NOT UNDERSTANDING

1.An unsuspecting bird is coasting along in an easterly direction at 3.00 mph when a strong wind from the south imparts a constant acceleration of 0.200 m/s2. If the wind\'s acceleration lasts for 3.20 s, find the magnitude r and direction θ (measured counterclockwise from the easterly direction) of the bird\'s displacement over this time interval. (HINT: assume the bird is originally travelling in the x direction and there are 1609 m in 1 mile.)

Now, assume the same bird is moving along again at 3.00 mph in an easterly direction but this time the acceleration given by the wind is at a 45.0 degree angle to the original direction of motion. If the magnitude of the acceleration is 0.500 m/s2, find the displacement vector , and the angle of the displacement, θ1. Enter the components of the vector and angle below. (Assume the time interval is still 3.20 s.)

2 .Volumetric expansion coefficients of simple materials are often well catalogued. However, the thermal expansion coefficient β of a human body is less well known. This could affect the human body\'s specific gravity and, therefore, measurements of its body/fat ratio. Suppose that a human body of weight w0 (on dry land) is placed on a scale while completely immersed in formaldehyde of temperature T1. Once the temperature increases by ΔT, the scale reading drops by Δw. Derive an expression for β in terms of ΔT, w0, and Δw by assuming that the ratio of the formaldehyde ρf and the initial density of the body ρb is R = ρf /ρb. Assume also that ρf does not change when heated.

If the body weighs 224.3 lb on dry land and his weight reading lowers by 0.237 lb when the formaldehyde is heated from 66.40oF to 88.60oF, calculate the coefficient of volume expansion of the body.* Assume R = 0.720.

* The coefficient β will likely vary widely from one human body to the next. The numerical value computed here should not be considered factual.

3. If 39.5 mol of an ideal gas occupies 89.5 L at 77.00 °C, what is the pressure of the gas?

4. How many moles of gas are in 17.5 L N2 at 25 °C and 125 kPa?

How many moles of gas are in 41.9 L O2 at 25 °C and 125 kPa?

5. A 2250-kg space station orbits Earth at an altitude of 495000 m. Find the magnitude of the force with which the space station attracts Earth. The mass and mean radius of Earth are 5.98 × 1024 kg and 6370000 m, respectively.

Answer 1