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1. ### When a certain spring is stretched, the restoring force satisfies the equation F=-kx+βx^3. If k=10.2N/m and β?

...0.086] W = ∫-kx+βx^3 [From x = 0 to x = 0.086] W = -k∫x + β∫x^3 [From x = 0 to x = 0.086] W = -kx^2/2 + βx^4/4...

1 Answers · Science & Mathematics · 24/02/2014

2. ### Which value of k will make the plane r=(k,3k,12) + s(2,2,3) + t(-1,1,3), pass through the origin?

... the same with the other coordinates, you get 3k-4-2=0 and thus k=2 and k-4+2=0 and thus k=2. If you prefer, more rigorously, you can create...

2 Answers · Science & Mathematics · 30/07/2011

3. ### A plane heads south with air speed 1000k/h. its ground speed = 1100 k/h at 15 degree east south. what is the wind speed?

...for convenience (1100 , 15°) - (1000 , 0°) = 291.5 , 77.6° that's a wind of 291.5 k/h at 77.6° east of south or 291.5 k/h at 12.4° south of east When you...

2 Answers · Science & Mathematics · 22/01/2016

4. ### A spring (k = 974 N/m) is hanging from the ceiling of an elevator, and a 3.9-kg object is attached to the lowe?

The force stretching the spring is: F = m(a + g) = (3.9)(0.41 + 9.8) = 39.8 N The stretch of the spring: x = F / k = 39.8 / 974 = 0.04 m = 4 cm

2 Answers · Science & Mathematics · 02/03/2013

5. ### Compute the curl of the vector v = x^2 i + 2 j - y^2 k.?

v = x^2 i + 2 j - y^2 k ∇x v = | ..i .....j .....k..| ...........| ∂/∂x ∂/∂y ∂/∂z| ...........|..x^2 ..2..-y^2.| ∇x v = 2yi Errr, that's it.

1 Answers · Science & Mathematics · 20/02/2013

6. ### A spring with a spring constant k=440.0 N/m is attached to a mass of m=7 kg and stretched -0.5 m ?!?!?

This is a simple conservation of mechanical energy problem K_f + U_sf = K_i + U_si 1/2 mv^2 + 0 = 0 + 1/2 kx^2 v = root(k/m)*x = 3.96 m/s

1 Answers · Science & Mathematics · 23/10/2013

7. ### Specific Heat Capacity - Why is SHC the same whether you use K or degrees C? Eg. H2O at 4186 J kg^-1 C^-1 AND 4186 J kg^-1 K^-1 ?

A change of 1 deg C = a change of 1 K Convert 0 C to K convert 1 C to K What is the difference? 1 C or 1 K. Repeat for any other pairs of temperatures.

4 Answers · Science & Mathematics · 09/10/2015

8. ### Calculate the entropy change of 75.2 g of water that freezes into ice at 273.15 K. ΔHfus for water is 6.01 kJ/mol.?

...Q/T = -25.11kJ / 273.15K = -0.0919 kJ/K = -91.9J/K

1 Answers · Science & Mathematics · 19/01/2018

9. ### What is room temperature in degrees celcius and in K if room temp is often considered 68degrees F?

Celsius [°C] = ([°F] − 32) × 5⁄9 [°F] = [°C] × 9⁄5 + 32 Kelvin [K] = ([°F] + 459.67) × 5⁄9 [°F] = [K] × 9⁄5 − 459.67 Answer: 68F=20C=293.15K

2 Answers · Science & Mathematics · 17/10/2010

10. ### Which object would require the most amount of net force to accelerate (a.k.a. inertia)?

"Which object would require the most amount of net force to accelerate (a.k.a. inertia)?" They all have mass, and any finite force will yield finite acceleration. e. a truck ... will yield the smallest acceleration for any force

2 Answers · Science & Mathematics · 07/11/2014