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...
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...
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...
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]...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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 =...
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...
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...