# Search results

1. ### Loop-the-loop with potentional and kinetic energy

Homework Statement A mass m = 77 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 15.1 m and finally a flat straight section at the same height as the center of the loop (15.1 m off the ground). Since the mass would not make it around the loop if...
2. ### Pendulum Velocity

Homework Statement A mass m = 5.5 kg hangs on the end of a massless rope L = 1.81 m long. The pendulum is held horizontal and released from rest. How fast is the mass moving at the bottom of its path? Homework Equations a_c = \frac {v^2}{r} F = ma v = v_o + at The Attempt at a Solution I...
3. ### Spring launched box sliding over friction surface

Homework Statement A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4085 N/m after being compressed a distance x_1 = 0.546 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d =...
4. ### Work by tension on masses

Homework Statement A mass m_1 = 4.1 kg rests on a frictionless table and connected by a massless pulley to another mass m_2 = 3 kg, which hangs freely from the string. When released, the hanging mass falls a distance d=0.83m. How much work is done by tension on m_1? Homework Equations v^2 =...
5. ### Engineering Engineering with math major

I am majoring in applied math and considering a minor in physics. Would it be reasonably possible for me to get a job in engineering (electrical or mechanical) with only that background?
6. ### Find parametric equations for the tangent line

Homework Statement Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Homework Equations x = 1+2 \sqrt{t}, \quad y = t^3 - t, \quad z = t^3 + t, \quad (3, 0, 2) The Attempt at a Solution I began by...
7. ### Self-taught physics

(I would like to apologize if this is in the wrong forum; I wasn't sure where to put it) Anyway, I am very interested in studying physics, but my degree (CS) only requires one basic class in classical mechanics. I could take more physics courses to fill science electives, but the physics...
8. ### Vector function intersection

Homework Statement "Find a vector function that represents the curve of intersection of the two surfaces." Homework Equations Cone: z = \sqrt{x^2 + y^2} Plane: z = 1+y The Attempt at a Solution I began by setting x=cos t, so that y = sin t and z = 1+sin t. At this point...
9. ### Relative velocity of plane with vectors

Homework Statement The problem is worded thus: You are on an airplane traveling 30° south of due west at 130 m/s with respect to the air. The air is moving with a speed 30 m/s with respect to the ground due north. (a) What is the speed of the plane with respect to the...
10. ### What time are two thrown balls at the same height?

Homework Statement A red ball is thrown down with an initial speed of 1.2 m/s from a height of 25 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 23.8 m/s, from a height of 0.8 meters above the ground. The force...
11. ### Integration by parts with e and sine

Homework Statement Evaluate the integral. Homework Equations \int e^{2x} sin(3x) dx The Attempt at a Solution I began by using integration by parts. u = sin(3x) v = \frac {e^{2x}} {2} du = 3 cos(3x) dv = e^{2x} dx but I get stuck after that because the...
12. ### Problem with trig integral

Homework Statement Evaluate the integral. Homework Equations \int sin^2(\pi x) cos^5 (\pi x) dx The Attempt at a Solution I tried first by splitting the cosine up \int sin^2(x) [1-cos^2(x)] cos^2(x) cos(x) dx and from there use u-substitution. However, I am not sure what...
13. ### Problem with series

Homework Statement Determine whether the series is convergent or divergent. If it is convergent, find its sum. Homework Equations \sum_{n=1}^{\infty} \frac{1 + 2^n}{3^n} The Attempt at a Solution Hello, I have tried to find the sum of this series using both the...
14. ### Alternative Atmospheres for Life

Is it possible for life to exist on a planet with an atmosphere radically different from earth's? Where the organisms breathe gases other than oxygen or carbon dioxide?
15. ### Planetary Composition

So... Theoretically, planets (that are not gas giants, or water planets) could be composed of silicon, iron, or carbon. Are there any other elements that could make up most of a planet?
16. ### How Large Can a Planet be and Still Have Earth's Mass?

Question: Just as in the title. How large can a planet be and still have the earth's mass? Obviously, this depends on its composition, just as long as it's solid and life can exist on it.