Homework Statement
Evaluate the integral INT sqrt(x^2+6x) dx
The Attempt at a Solution
I honestly have no clue how to even start. I know it involves trigonometric substitution, but I just can't solve it.
Please Help?
This might seem like a weird question, but I was just wondering about it. If a nuclear bomb were to go off in space, would it destroy satellites, the ISS, and everything else that's orbiting the Earth moderately close to the explosion?
I'm not sure if the explosion would expand in a vacuum, but...
Homework Statement
The internal energy of a system increases by 200 J while 900 J of work are performed on it. What was the magnitude of the heat flow into or out of the system?
Does the heat flow "out of" or "into" the system?
Homework Equations
Don't really need.
The Attempt...
Homework Statement
How much heat in kcal is required to change 1.0 kg of ice, originally at -30 degrees C, into steam at 120 degrees C? Assume 1.0 atm of pressure. (Please use the following values for the constants needed in the problem: Latent heat of fusion=79.7 kcal/kg; Specific heat of...
For the first one, I plugged in the velocity (343.3), and the time (4.17 ms, which turns to 0.00417 seconds) and carried out the formula.
D = (343.3*0.00417)/2 = 0.7157805
For the second one, I tried using the same equation and I plugged in 0.6 for V and 26.11 for time, but I got an incorrect...
Homework Statement
a.) The ultrasonic motion sensor sends pulses of the ultrasound toward a cart on the low-friction track and determines the distance by the time an echo takes to return. The temperature in the lab is equal to 20 °C. What is the distance between the motion sensor and the cart...
Homework Statement
A highway is made of concrete slabs that are 15 m long at 20.0 degrees Celsius.
(a) If the temperature range at the location of the highway is from -20.0degrees Celsius to +40.0degrees Celsius, what size expansion gap should be left (at 20.0degrees Celsius) to prevent...
Homework Statement
You place 83 moles of hydrogen gas in a balloon of volume 2.8 m3, and find the pressure to be 1.4 times atmospheric pressure. What is the typical speed of a hydrogen molecule?
Homework Equations
v=(sqrt)((3*Boltzmann Constant*T)/mhydrogen
T=pv/nr
The Attempt...
F01 = fs/1-(vs/v)
F02 = fs/1+(vs/v)
Using these equations, I plugged in:
1/1+(343/171.5) = 3
1/1-(343/171.5) = -1
I'm not sure if I must do something regarding the 1kHz given to me, but neither of both numbers are valid answers.