Recent content by ccsmarty

Homework Statement I have to prove or disprove the following: Part a) If p is prime and p | (a2 + b2) and p | (c2 + d2), then p | (a2 - c2) Part b) f p is prime and p | (a2 + b2) and p | (c2 + d2), then p | (a2 + c2) Homework Equations The Attempt at a Solution Part a)...

This is what I did with the energy methods: But this answer is wrong.

Homework Statement Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 2.3×10^4 m/s when at a distance of 2.7×10^11 m from the center of the sun, what is its speed when at a distance of 4.3×10^10 m. Homework Equations I tried using v =...

Well, the first equation I got when I asked an online tutor for help. I made v0 = 0 because I thought that the instant after the thruster fired, the velocity would be zero. I tried doing the problem a different way today and here's my work: However, this did not yield the right answer...

Homework Statement An unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 52.0 km. To the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 27.0 m/s...

Ok, thanks so much for your help. It makes more sense this way, than the way I initially tried to tackle the problems. Thanks again :)

The first one: Homework Statement 1) A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii of this spiral are 25.0 mm and 58.0 mm , respectively. As the disc...

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Homework Statement An object moving in the xy-plane is acted on by a conservative force described by the potential-energy function U(x, y)= a*(1 / x^{2}+1 / y^{2}), where a is a positive constant. Derive an expression for the force F expressed in terms of the unit vectors i and j...

Homework Statement A wooden block with mass 0.1305kg is sitting on a horizontal dynamics track. The block is attached to a counterweight of mass 0.050kg by means of a frictionless pulley (the counterweight is hanging off of the table). The system is released from rest, and after traveling...

Homework Statement Derive an expression for calculating the theoretical range of the ball in terms of y, g, theta, and v0. Homework Equations The Attempt at a Solution I've tried just about everything to figure this out. I started with the motion in the x-direction, and plugged...

What would be a better assumption then? I could use any help because I've been working on this problem for a while, and I'm not getting anywhere :(.

Homework Statement An airplane pilot sets a compass course due west and maintains an airspeed of 218 km/hr. After flying for a time of 0.510 hr, she finds herself over a town a distance 124km west and a distance 16 km south of her starting point. Find the magnitude of the wind velocity (in...

The data is just the distance that a cart traveled along a track at different times. And thanks for the help everyone, I hope I can figure out with your advice. :)

Homework Statement Make a graph of the average velocity vs. time using data points collected. Data points: (0.8023 s, 0.606 m) (0.9027 s, 0.710 m) (1.0031 s, 0.816 m) (1.1035 s, 0.912 m) (1.2039 s, 1.023 m) *s = seconds *m = meters Homework Equations Avg. Velocity =...