# Search results

1. ### Comp Sci [Java] Generating a Time Array Problem

Homework Statement I'm given a maximum time, a time step (or interval) and I'm supposed to form an array from 0 to the maximum time going up by timestep each time. double tMax; //maximum time double tStep; //time interval to go up by Homework Equations Our teacher told us to use the...
2. ### Rank of a Matrix and whether the columns span R12

Homework Statement Let M be the 12 x 7 coefficient matrix of a homogeneous linear system, and suppose that this system has the unique solution 0 = (0, ..., 0) \in ℝ7. 1. What is the rank of M. 2. Do the columns of M, considered as vectors in ℝ12, span ℝ12. Homework Equations The...
3. ### Java [Java] Returning an Array

If I have a program where I need to return an array, is it possible that I only return the array with the length of what was added to it? What I mean is I have an array that gets filled up with letters but it doesn't always get completely filled up. Is there a way I can only return the...
4. ### Does a set of vectors span Rn

Homework Statement Determine if the following sets of vectors span the indicated space a) {[0 -6 -6], [8 -3 5], [-9 7 -2]}, ℝ3. b) {[2 1 7 -2], [3 5 4 5], [4 -4 -3 -3], [-5 0 6 -4]}, ℝ4. Homework Equations The Attempt at a Solution a) a[0 -6 -6] + b[8 -3 5]...
5. ### Linear Algebra subspaces and spans

Homework Statement Let E = {“ax+by+cz = d” | a; b; c; d ∈ R} be the set of linear equations with real coefficients in the variables x, y and z. Equip E with the usual operations on equations that you learned in high school. addition of equations, denoted below by “⊕” and multiplication by...
6. ### Energy Problem involving Spring

Homework Statement A block of mass 1.0 kg, at rest on a horizontale table, is attached to two rigid supports by springs A and B. A force of 10.0 N strecthes spring A alone by 0.25 m while a force of 2.5 N extends spring B alone by the same amount. Initially the block is at rest between...
7. ### Elastic Potential Energy of a Sprin

Homework Statement Two trolleys, of mass 1.2 kg and 4.8 kg, are at rest with a compressed spring between them, held that way by a string tied around both. When the string is cut, the trolleys move apart, if the force constant fo the spring is 2400 N/m, by how much must it have been compressed...
8. ### Tension force of a Swing Set

Homework Statement At the playground, a girl gets on a swing. Her mother pulls her back so that the chain on the swing is at an angle θ from the vertical. She holds her daughter and then lets her go, without pushing. Show that the tension in the chain at the bottom of the swing’s path is...
9. ### Elastic Collision or Inelastic Collision? Two balls colliding.

Homework Statement A ball of mass 4.5 kg is moving 16 m/s east when it collides with a stationary 6.2kg ball, which moves at a velocity 10 m/s after the collision. Was this an elastic or inelastic collision? Explain your choice. Va = 16 m/s Ma = 4.5 kg Mb = 6.2 kg Vb' = 10 m/s...
10. ### Elastic Collision between billiard balls

Homework Statement Two billiard balls of equal mass undergo a perfectly elastic head on collision. If one ball's initial speed was 2.00 m/s, and the other's was 3.00 m/s in the opposite direction, what will their speeds be after the collision? Va = 2 m/s Vb = 3 m/s Homework...
11. ### Inelastic Collision of 2 Carts - Displacement

Homework Statement A 15.0 kg toy cart is traveling at 5.5 m/s to the right when it collides head on with a 10.0 kg cart traveling at 4.0 m/s to the left. The objects collide and stick togethere. The coefficient of friction between the wheels of the cart and the floor is 0.40. How far will the...
12. ### Question about conservation of momentum

If object A and object B collide. Object A is going horizontally while object B is going up-diagonally. We find the momentum of object A to be 10 kg m/s while the momentum of B is 20 kgm/s. Does that mean that in the entire system after the collision there will have to be 10 kg m/s horizontally...
13. ### Comp Sci C++ compare strings program using pointers

Homework Statement Create a function called isEqual(). isEqual() takes two strings and determines if the strings are identical. isEqual (s1, s2) should be the same as s1 = = s2 #include "stdafx.h" #include <iostream> using namespace std; bool isEqual(int *s, int *st, int x); int...
14. ### Proving that apparent weight is 5 times actual weight (no numbers)

Homework Statement Without numbers, identify how you could find the apparent weight of motorcycle to be 5 times that of the actual weight. The motorcycle is going up a loop the loop with a velocity of v. Homework Equations Fnet = mv^2/r Fg = mg The Attempt at a Solution Fnet = mv^2/r...
15. ### Maximizing area of trapezoid Drain Gutter

Homework Statement Image is very big. Angles A and B are 120° length of metal is 5m width of metal is 0.6m it's an isosceles trapezoid drainage. Homework Equations ° in a trapezoid: 180(n-2) A = 2(bh/2) + wh The Attempt at a Solution I'm not sure, I started but I'm not even sure if I'm...
16. ### Gravitational pull on asteroid/Period it takes for one orbit

Homework Statement A bit of asteroid material of mass 2.5 x 10^6 kg orbits around the earth at an altitude of 2800km. How long does it take the asteroid to complete one orbit. M asteroid = 2.5 x 10^6 kg altitude of asteroid = 2800 km radius asteroid = 200m radius earth = 6.37 x 10^6 m...
17. ### Centripetal Force/Changing direction on ice - Turn length

Homework Statement I am running to school at 6m/s when I hit a patch of icy sidealk. The coefficient of friction between the ice and my shoes is 0.16. I wish to turn my 55kg frame to the left. What is the smallest turn I can make? v = 6 m/s μ = 0.16 m = 55 kg Homework Equations Fnet = mv^2/r...
18. ### Rotation at an angle - Tether ball (Finding length)

Homework Statement A tether ball is a ball at the end of a rope tied to a pole 3m tall. A player whips the ball around with a speed of 9.5 m/s and the string rises to an angle of 32°. Find the length of the string. length of pole = 3m v = 9.5 angle θ = 32° Homework Equations Fnet = ma...
19. ### Rotation in a Vertical Plane - tension on a bucket

Homework Statement A 4kg bucket of water is rotated in a vertical circle of radius 2m at the minimum rate required to keep the water in the bucket. Find the tension in the handle of the bucket at a) the bottom of the circle and b) the top of the circle. mass: 4kg radius: 2m Homework...
20. ### Force of a parachute on parachutist

Homework Statement A parachutist of mass 65 kg jumps out of a plane deploys a chute. When the chute opens, she slows down from 80km/h to 10km/h in 0.8s. What is the foce of the chute on her shoulders at that time? m = 65 kg v1 = 80km/h → 22 m/s v2 = 10 km/h → 2.8 m/s change in time =...
21. ### Bowling ball rolling, going up a ramp, and continues rolling.

Homework Statement A bowling ball of mass 2.2kg is rolling along a track at 3.2m/s when it reaches a ramp angled at 55°, The ball rolls up the ramp to the top where the track levels out again, and the ball rolls at 0.3 m/s. How long is the ramp? mass = 2.2kg v1 = 3.2 m/s v2 = 0.3 m/s...
22. ### Acceleration of a car pulled by a block falling (pulley)

Homework Statement A car and pulley system are setup as shown. Find the acceleration of the car. The car wheels have a friction coefficient of 0.15. The car has a mass of 0.05 kg while the block has a mass of 0.02 kg. http://sadpanda.us/images/836771-GBD7SB9.jpg [Broken] *sorry if the picture...