In the field of consumer behavior, an impulse purchase or impulse buying is an unplanned decision by a consumer to buy a product or service, made just before a purchase. One who tends to make such purchases is referred to as an impulse purchaser, impulse buyer, or compulsive buyer. Research findings suggest that emotions, feelings, and attitudes play a decisive role in purchasing, triggered by seeing the product or upon exposure to a well crafted promotional message.
Find h[n], the unit impulse response of the system descrived by the following equation:
y[n]+3y[n-1]+2y[n-2]=x[n]+3x[n-1]+3x[n-2]
Can this be rewritten as?(n-->n+2)
y[n+2]+3y[n+1]+2y[n]=x[n+2]+3x[n+1]+3x[n]
Homework Statement
A horizontal force of 0.80 N is required to move a mass M2 = 5kg across the surface with a constant acceleration. With the block initially at rest, a 0.02kg bullet M1 fired horizontally into the block causes the block (with bullet inside) to slide 1.5m before coming to rest...
Homework Statement
A long jump trial, the vertical ground reaction force of an athlete’s take-off
leg was measured as shown below. At foot strike, the horizontal velocity of the take -off leg was
8.00 m/s and the vertical velocity of the take-off leg was -2.30 m/s.
(Chart as Attachment)...
Homework Statement
Find the impulse response of the following: Assume the system is initially at rest.
y[n] - (1/2) y[n-1] = x[n] + 2 x[n-1] + x[n-2]
The Attempt at a Solution
To find the impulse response y[n]: we know that y[n] = homogenous solution + particular solution
so...
lamda -...
Homework Statement
Two skaters stand in the center of a circular rink of frictionless ice. When the skaters push on one another, they move apart along the same straight line. If the skater of mass m1 = 50 kg reaches the edge of the rink after 12 seconds and the other skater reaches the...
Homework Statement
So the problem asks to find the impulse response h(t) provided y(t) = integral from -infinity to t of e^-(t-tau)*x(tau-2)dtau Homework Equations
none
The Attempt at a Solution
I understand that the way to begin this problem is to substitute delta(t) for x(t). Therefore the...
Imagine there are 2 space-probes in space. Both of them start their engines in the same time. The first space-probe has a very low level of thrust but a very high specific impulse. The second space probe has a very high thrust but a very low specific impulse.
Both of them have an equal amount...
Homework Statement
A tennis player returns a 30m/s serve back at 25 m/s after making contact with the ball for .5 seconds. If the ball has a mass of .20kg, what is the force exerted on the ball?
Homework Equations
I = Force\DeltaTime, or essentially the \DeltaMomentum = Impulse
P=M*V...
Homework Statement
This is a two part question.
Kim holds a 2.0kg air rifle loosely and fires a bullet of mass 1.0g. The muzzle velocity of the bullet is 150m/s. What is the recoil speed of the rifle?
^ I got -.075m/s
Part Two:
If Kim in the previous questions holds the rifle tightly...
Hey guys, could anyone please explain this to me?
Homework Statement
Two girls with masses of 50kg and 70kg are at rest on frictionless in line skates. The larger girl pushes the smaller girl so that the latter rolls away at a speed of 10m/s.
What is the effect of the action on the larger...
Homework Statement
A car is brought from 100 km/h to 0 km/h in 2 seconds. A student with a mass of 73kg(not wearing a seat belt) flies through the air toward the dashboard which is 0.650m away. He smashes into the dashboard and it takes 0.25 seconds to slow him to the velocity of the car at...
Homework Statement
A 261 g hockey puck is sliding on ice with a speed of 5.34 m/s hits a wall at an angle of 27.3° to the wall and bounces back at the same angle with the same speed.
a) If the wall and the hockey puck are in contact for 10.9 ms, find the magnitude of the impulse on the...
Homework Statement
Find the unut impulse response h[n] of this system
y[n+1]+2y[n]=x[n]
Homework Equations
I have no clue on how to slove this problem, som pointers would be nice.
Thx
i am given the Laplace transform of an impulse response function, as well as its input. i am supposed to find its output.
H(s) = 1/s2 + s + 1
x(t) = sin2(t-1)U(t-1)
what i have done so far is the following:
i know that Y(s) = H(s)X(s) and from this i can easily find y(t)
so i found X(s)...
Although I'm sure people have been looking to develop a solution like this since the beginning of time (at least, the first use of electricity), I'm trying to achieve a design that will enable perpetual electricity generation without the addition of conventional energy inputs. Essentially, I'm...
Homework Statement
Two men of equal masses m stand on a platform of mass M. Both men jump with the same horizontal velocity with respect to the platform. Find the relation between velocities of the platform if they jump simultaneously and if they jump one after the other.
Homework...
Hi all
The impulse response h(t) of an electric circuit (maybe in some special cases) is the derivative of the step response s(t) of the same circuit. right?
So does it mean they have different dimension, namely if the dimension of s(t) is X, then the dimension of h(t)=ds/dt is x over...
Homework Statement
Problem 1: A .145 kg baseball pitched at 40 m/s is hot on a horizontal line back to the pitcher at 52 m/s. If the contact time of the ball with the bat is 4.7e-3, calculate the magnitude of the average force acting on the ball due to the bat.
Problem 2:A billiard ball is...
Homework Statement
a ball w/ mass of .15kg and a velocity of 5m/s strikes a wall and bounces right back with v=3m/s. ball is in contact with wall for 0.1 sec, how much force did the wall exert on the ball?
Homework Equations
Ft=mvf-mvi
F=?
t=0.1
m=.15
vf=3m/s
vi=5
The Attempt at...
If I have the unit impulse response function for a discrete-time LTI system (Unit sequence response?), h[n], how can I calculate the time taken for the output to fall below 1% of its initial value, after a unit impulse is applied to the input?
In particular, I have:
h[n]=(\alpha...
Homework Statement
A 0.1 kg rubber ball and a 0.1 kg clay ball are both thrown at the wall with the same initial velocity. the rubber ball bounces, the clay ball sticks. Which exerts a larger impulse on the wall?
Homework Statement
Recent studies have raised concern about `heading' in youth soccer (i.e., hitting the ball with the head). A soccer player `heads' a size 4 ball, deflecting it by 38.0 deg, but keeping its speed of 19.60 m/s constant. A size 4 ball has a mass of approximately 0.302 kg. What...
I'm a bit confused by this question. If you could help me check my work, that'd be great.
Thanks.
Homework Statement
A 40kg object with an initial velocity \vec{v}_0 = (20 \text{m}/\text{s})\hat{i} is accelerated by a varying net force \vec{F}(t)=\left[ \left( 3.0...
1. A car of mass 1500 kg traveling at 20 m/s hits a parked car of mass 2000
kg. The two cars stick together.
a. Find the velocity of the cars after the collision
b. Determine the impulse
i know that the momentom befor the collition is 30,000 how can i use that to find the Vf
Homework Statement
A ball of mass 350g is traveling with a speed of 4m/s when it hits at right angles a fixed vertical wall. The ball rebounds with a speed of 3m/s. Find the magnitude of the impulse exerted by the ball on the wall. Using a simple diagram show the direction of velocities and...
Hi,
given the state equations of a system,
x(dot) = Ax + Bu
y = Cx
is the impulse response function of this system C(e^(At))B? If not, how can i identify the impulse response from a given state equations? Please advise. Thank you.
Homework Statement
Two ice skaters (m1 = 85kg and m2 = 52kg) in a pairs-skating tournament are both initially holding on to each other while travling to the right at 4.5 m/s. Skater #1 then thows skater #2 to the right in a graceful toss. Immediately afterward, skater #2 is travling to the...
Question:
A(n) 0.55 kg softball is pitched at a speed of
20 m/s. The batter hits it back directly at the
pitcher at a speed of 27 m/s. The bat acts on
the ball for 0.02 s.
What is the magnitude of the impulse im-
parted by the bat to the ball?
Answer in units of N · s.
Equation:
I=m(vf-vi)...
Homework Statement
A sphere of radius R and mass M sits on a horizontal tabletop. A horizontally directed impulse with magnitude J is delivered to a spot on the ball a vertical distance h above the tabletop.
Part 1:
Determine the angular and translational velocity of the sphere just after the...
Homework Statement
The front of a 1400 kg car is designed to absorb the shock of a collision by having a "crumple zone" in which the front 1.20 m of the car collapses in absorbing the shock of a collision.
(a) If a car traveling 25.0 m/s stops uniformly in 1.20 m, how long does the...
Homework Statement
Air in a 110km/hr wind strikes head-on the face of a building 45m wide by 60m high and is brought to rest. If air has a mass of 1.3kg/m^3 calculate the average force exerted on the building.
Homework Equations
p = mv
delta P = Fav * t
dp/dt = F
The Attempt at a...
Homework Statement
If a tennis player were to throw his ball against a wall, which impulse would be the greatest? The throw, the bounce, or the catch?
Homework Equations
I = F * t
P = m * v
The Attempt at a Solution
I believe the bounce is the greatest, as it has the greatest...
Homework Statement
block 1 with mass of 680 g starts from rest at the top of a frictionless track at a height of
H = 4.20 M above the ground. Block 1 collides with block 2 (m = 175 g) at ground level. The blocks stick together and barely complete one turn around a frictionless loop. find the...
If one has input x(t), then convolving x(t) with impulse response of the system would give the zero-state of the system.
For example, we have a system described as :
(D^{2} + 4D + 3)y(t) = (D+5)f(t).
I computed system impulse response which is :
h(t) = 2e^{-t} - e^{-3t}
Now if say f(t) =...
Homework Statement
A 70-g steel ball is released from rest and falls vertically onto a steel plate. The ball strikes the plate and is in contact with it for 0.5 ms. The ball rebounds elastically, and returns to its original height. The time interval for a round trip is 2.00 s. In this...
Homework Statement
The triple jump is a track-and-field event in which an athlete gets a running start and tries to leap as far as he can with a hop, step, and jump. Shown in the figure is the initial hop of the athlete. Assuming that he approaches the takeoff line from the left with a...
Homework Statement
Image you have one of the old fashion chain shots from the 1800’s where they had two cannon balls connected by a chain. Now let’s say you wish to try to fire the chain shot from two cannons. The synchronized cannon firing nearly works, but one cannon ball receives a...
Homework Statement
In the revolutionary war, the Americans had an advantage in using long rifles, instead of the smooth bore muskets used by the British. The long rifle had a barrel of 48in or more, whereas the musket barrel length was on the order of 30in. Explain the greater range of the...
Homework Statement
A car with mass = 1470 kilograms is traveling north at a constant speed of 3.35 m/s. Take north to be the positive y direction.
The car takes 3.65 seconds to complete a righthand turn to the east (positive x direction), while maintaining a constant speed the whole...
Homework Statement
The Figure shows an approximate representation of the contact force versus time during the collision of a 36-g tennis ball with a wall. The initial velocity of the ball is 151.6 m/s perpendicular to the wall. What is the speed of the tennis ball after the collision...
Homework Statement
A soccer player kicks a ball of mass 0.44 kg that is initially at rest. The player's foot is in contact with the ball for 0.008 s. The force of the kick is shown in the Figure.
a) What is the impulse imparted on the ball?
b) What is the average force exerted by the...
Homework Statement
A particle A (mass m1) is suspended under ceiling by a light string of length L1. Another light string length L2 is connected to A at one end and connected to particle B(mass m2). They are stable under gravbity at first. Suddenly a horizontal strike is given to A and A has...
Homework Statement
A fire hose sends 20 kg of water per minute against a burning building. The water strikes the building at 40.0 m/s and is deflected 60deg as shown in the figure. (a) What is the rate of change of momentum of the water? (b) What force does the building exert on the water? (c)...
Homework Statement
A 4-lb collar which can slide on a frictionless vertical rod is acted upon by a force P which varies in magnitude as shown. Knowing that the collar is initially at rest, determine its velocity at (a) t = 2s (b) t = 3s.
Answers:
(a) 29.0 ft/s
(b) 77.3 ft/s...
I'm doing a project for my job, and am currently stuck with a situation that I'm unsure of how to proceed. Note: not homework.
The situation is that I have an object of approximately 100kg, which was thrown a horizontal distance of 16m from it's original position by an explosion. We've...
Homework Statement
So you have this dumbbell, that is lying on a two-dimensional xy plane, and is made of two masses - m1 and m2, with m2 to the ''right'' on the x-axis [the text doesn't specify, but it's probably a good idea to place m1 in the origin]. suddenly you apply a force F in the...
Homework Statement
The 2kg head of an axe is moving at 60m/sec when it strikes a log. If the blade of an axe penetrates a 20mm into the log, find the average force it exerts.
m= 2kg
V= 60m/sec
d= 20mm or 0.02m
Homework Equations
F= pFINAL - pINITIAL / time
t= d/v
The Attempt...
We have
\vec{F}=\int_V\vec{f}dV=-\frac{d}{dt}\int_V(\vec{D}\times \vec{B})dV
\vec{g}=\vec{D}\times \vec{B}
\vec{F}=-\frac{d}{dt}\int_V\vec{g}dV
\vec{F}=\frac{d\vec{p}_{mech}}{dt}
\frac{d}{dt}(\vec{p}_{mech}+\int_V\vec{g}dV)=0
\vec{p}_{mech}+\int_V\vec{g}dV=\vec{const}
In total field law...
Hello,
I am taking a college level physics course and have a question.
Heres the question...
"Acompact car and a large truck have a head-on collision. Durring the collision, which vehical, if either, experiences:"
a. the greater force of impact? please explain
b. the greater impulse...
I am a little confused about convolutions.
I know that convolution is the multiplication and then integral of the two signals. The confusion starts at the commutative property. If i try to change the time-shift from signal to another for any 2 general functions or equations the commutative...