Suppose that the spotlight shines so that different parts of the beam reflect off of different two surfaces, one inclined at an angle α (from the horizontal) and one inclined at an angle β. what would the angular separation δθ be between the rays reflected from the two surfaces? assume that the light comes at an angle θa to the vertical. express your answer in terms of some or all of the angles θa, α, and β.

In physics the desire of an object to keep doing what it is doing is termed?

The force acting on a beam was measured under the same operating conditions and a sample of 5 data points was collected. this process was repeated by 3 observers. the pooled standard deviations of these 3 data sets was 1.21. determine the true mean force using all pooled data (with a 95% probability). the result should look like this: true mean = mean +/- margin of error

An object with initial temperature 130 ∘ f is submerged in large tank of water whose temperature is 50 ∘ f . find a formula for f ( t ) , the temperature of the object after t minutes, if the cooling constant is k = − 0.2 . remember newton's law of cooling (the rate of change of temperature with respect to time is equal to k times the difference between the temperature of the object and the surrounding temperature) ! : )