# markosheehan

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• Favorite Area of Science
maths
1. ## particle on wedge

were my first 2 equations right
2. ## particle on wedge

im stuck on question 8. the equation i got for the wedge is .6R -.5S=ma r stands for relative force of the particle s stands for relative force of the wedge . i got the equation 4mg-R=5m(.6a) for the particle where a stands for acceleration of the wedge. does anyone know where to go from here. are my equations wrong?. i drew a diagram of the forces
3. ## particle accelerating

how can you change 2.5at^2 into sqaure root s/2 where s stands for the distance . i am very very confused , thanks for your help though
4. ## particle accelerating

a train accelerates uniformly from rest to a speed v m/s with uniform acceleration a m/s^2 it then decelerates uniformly to rest with uniform retardation 3a m/s^2. the total distance travelled is s metres. if the average speed for the whole journey is square root (s/2) find the value of a. does anyone know how to work this out using uvast equations.

6. ## system of particles

Two particles of masses 3 kg and 5 kg are connected by a light inextensible string, of length 4 m, passing over a light smooth peg of negligible radius. The 5 kg mass rests on a smooth horizontal table. The peg is 2.5 m directly above the 5 kg mass. The 3 kg mass is held next to the peg and is allowed to fall vertically a distance 1.5 m before the string becomes taut. does any one know what this question looks like i cant even imagine it
7. ## Proving angles are equal in i triangle in a circle.

i know that it means the red angle and the blue angle are the same but i dont know where to go from there
8. ## Proving angles are equal in i triangle in a circle.

hi can someone help me work this out. i think it has something to do with the exterior angle of a triangle is equal to the sum of the interior angles but i cant work it.
9. ## uniform acceleration

A particle travels srating with a initial speed u, with uniform acceleration a. Show that the distance travelled during the nth second is u+an-.5a. I tried working this out by putting this information into the formula S=ut+.5at^2 but it did not work
10. ## integration

can some one help me with question 15. i am integrating it and trying this 1/3 (9)^3 -(1/3 (1)^3) and this gives me a answer of 242.66667 but the answer at the back of the book is 17 2/3
11. ## uniform acceleration

A car, starting from rest and travelling from p to q on a straight level road, where | pq | = 10 000 m, reaches its maximum speed 25 m/s by constant acceleration in the first 500 m and continues at this maximum speed for the rest of the journey. A second car, starting from rest and travelling from q to p, reaches the same maximum speed by constant acceleration in the first 250 m and continues at this maximum speed for the rest of the journey. (i) If the two cars start at the same time, after how many seconds do the two cars meet ? Find, also, the distance travelled by each car in that time. i am trying to use uvast equations to solve this but i cant. can someone help me
12. ## integration

consider the function y=a^x where a is a constant. show that x= ln y/ ln x i tried using the log formula but i have had no luck can someone help me please
13. ## moment of inertia.

a uniform rod has length 6l and mass m. an axis is a distance l from the end perpendicular to the length of the rod . find the moment of inertia of the rod about this axis. can some1 show me how to find this.
14. ## functions

is the function x²+3 surjective for real numbers. how do you test for surjectivity in general?
15. ## integration

yes i tried integration \frac{dy}{y}= cos(x)dx but then i get ln(2)=sinx+c and then when i put in 2 for y and π /6 for x i get ln(2)=1/2 + c and this is not the answer the answer is y=2e^sinx-0.5