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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. ### A 5kg block is initially at rest on a rough surface with friction coefficients μs= 0.5 and μk= 0.2.?

... Then the (kinetic) friction force is Fk = µk*m*g = 0.2 * 5kg * 10m/s² = 10 N ← using a nice round ...

2 Answers · Science & Mathematics · 15/12/2019