Recent content by M1ZeN

Homework Statement For all integers n, it is impossible to have a solution to the equation 4^n = a^2 + b^2 + c^2 where a, b and c are all positive integers. (Hint: Notice that 4^n = 2^2n is a perfect square. Show (prove) that if m^2 = a^2 + b^2 + c^2, then we must have that a, b and c...

I'm just not understanding specifically what there asking for in Part B. Call me stupid, its just the way the question is worded I'm not getting what to look for.

Homework Statement A four-sided die is rolled twice and the scores (1, 2, 3 or 4) recorded on each roll. (a) What is the sample space for this experiment? (b) Let X equal the larger of the two outcomes if they are different and the common value if they are the same. Write down the...

Homework Statement Write a Matlab function that takes as input three integers n, a and b, and outputs the number of positive integers less than n that are divisible by a or b. For example, with n = 1000, a = 3 and b = 5, the output should be 466. Homework Equations MATLAB's use of...

Homework Statement My homework problem is the double integral of y/1+xy dxdy. It is a definite double integral and both integrands have the values of a = 0 and b = 1. Homework Equations Integration by parts: uv - int(vdu) The Attempt at a Solution My first step of the double integral is I...

I graphed everything out and fully understand where all the friction forces are. I'm still confused on how to interpret the coefficients in with a working mathematical equation.

Homework Statement The velocity of a 6 kg particle is found to be well fit by v(t) = 15t^2 + 7 (velocity in units m/s) a) If the particle hits a spring at t = 8 seconds, and compresses the spring 8 cm, what is the spring constant? b) Suppose a particle with twice the mass, but the...

Homework Statement A spring at top of a 30 degree slope is compressed 0.5m by a 0.5 kg book. If the book is released, it will just reach the edge of the slope at the spring's equilibrium point, and then it will start to slide down the slope. Assume the spring constant is 25 kg/s^2. Assume...

Homework Statement A car approaches a curve that is banked at 20 degrees. The minimum speed for the curve is 20 m/s. The car's mass is 1000 kg. What is the radius of the curve if the coefficient of kinetic friction is 0.5 and the coefficient of static friction is 1.0? Homework...

Homework Statement A flag pole consists of two parts. The first part is the rod, which has a mass of 20 kg and a length of 5 m. The second part is a solid ball at one end, which has a mass of 0.5 kg. If the flag pole comes out of the building at an angle of 90 degrees (perpendicular to the...

I see. That definitely rang a bell. So simply, I could just break the problem down with K(i) + U(i) = K(f) + U(f) and in turn that would substitute to be (1/2)MVi^2 + mgyi = (1/2)MVf^2 + mgyf Also, for part b, would I just use for angular velocity w = sqrt(g/r)?

Homework Statement A hollow ball goes down a frictionless ramp. The ball starts at a height of 5 m. The ball has a radius of 4 cm and a mass of 0.5 kg. (a) What is the final velocity of the ball at the ball at the bottom of the ramp if it just slides down the ramp to a final height of 0...

Actually I'm clueless on putting the drawings I had for the problems into html so disregard the attempted pictures.

Homework Statement The minute hand on a watch is 2.00 cm in length. What is the length (in cm) of the i hat component of the displacement vector of the tip of the minute hand from 8:00 AM to 8:20 AM? What is the length (in cm) of the j hat component of the displacement vector of the tip of the...

I found the correct answer for that part. Now the second part has asked me to: What is the magnitude of your net displacement (in km) for the day? I went back to the method I used and just added the separate values for both morning and afternoon. It was the incorrect answer but I figured what...