Impulse Definition and 905 Threads

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 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 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...

Homework Statement A billiard ball initially at rest is given a sharp impules by a cue. The cue is held horizontally at a distance h above the centre line as in figure. The ball leaves the cue with a speed v and eventually acquires a speed 9/7 v. Show that h=4R/5, where R is the radius of...

I need help in these two problems. 1. Fernando Jose hits a 0.05 kg golf ball, giving it a speed of 65 km/s. What impulse does he impact to the ball? 2. Automobile companies often test the safety of cars by putting them through crash test to observe the integrity of passenger's...

Homework Statement A uniform thin rod 7.0 cm long with a mass of 40.0 g lies on frictionless horizontal table. It is struck with horizontal impulse at right-angle to its length, at a point 2.0 cm from one end. If the impulse is 8.5 mN*s: describe the resulting motion of the stick...

Homework Statement The 3rd and 4th stages of a rocket, mass 40kg and 60kg respectively, coast in space with a velocity of 15,000kmh when the 4th stage ignites, with thrust T and causes separation. If the velocity of the 4th stage is 10m/s greater than the 3rd stage at the end of the 0.5...

Hi, I don't know if this is the right place to ask this.. As the title says, I want know the final velocities of two partcles after collision, but I want to get those from the impulse, not from the final velocities equations you see arround there... The final step would be that: Vf =...

HELP! Impulse Response h(n) problem Please help me solve this problem. Atleast the correct answer indication is also very much appreciated. A system has impulse response h(n) = (1/2)^n-3 U(n-3) and the input is x(n) = 3^n U(n) a)Find the output by direct convolution. b)Find the output...

Homework Statement Daisy (65.0kg) skates on ice at 4.5m/s to greet her friend (75.0kg), who is standing still, with open arms. As they collide, while holding each other, with what speed do the both move off together? Homework Equations MaVa+MbVb / Ma+Mb The Attempt at a Solution...

Homework Statement A locomotive of mass 21x10^3kg traveling at 2.0m/s runs into an identical stationary locomotive. If the collision is perfectly elastic and lasts for 1.5s, find the average force exerted on the stationary locomotive during the collision. Homework Equations Find...

Homework Statement Which of the following could be accomplished with the least average force? a: accelerating a 2 kg ball from 0 m/s to 9 m/s in half a second. b: accelerating a 6 kg ball from 0 m/s to 6 m/s in one second. c: accelerating a 9 kg ball from 0 m/s to 8 m/s in two seconds. d...

Conservation of Impulse? Homework Statement I know that momentum is conserved, but is impulse? Homework Equations Impulse = change in momentum The Attempt at a Solution I really have no idea. I would say it isn't conserved because it equals the changein momentum. But the two...

Ok so I'm writing a 3D game that uses impulse to determine how things behave when they collide. In this game I have two cubes. Now the shape of each cube is defined by 9 spheres, sort of like this: http://mark.reid.name/images/figures/high-dim-3d.png Though in my game the middle sphere is...

Hello Everyone, It has been awhile since I have been on the forums. I just finished my third year which was my transition from biology to physics. So far, I have completed first year courses on Mechanics and Electrodynamics as well as one course on introductory quantum mechanics. Now I am...

I'm writing a game that involves collisions with spheres. Anyway each sphere has both angular and linear velocity. These two spheres collide. I need to find the direction of the impulse between them (if that's the right wording). I tried just subtracting their linear velocity components like...

y'' + 6y' + 4y = x(t) I found the eigenvalues to be -.764 and -5.24, no problems here. Next, since the order of the response is greater than the order of the excitation, I assumed the unit response took the form: h(t) = k_1e^{-.764t} + k_2e^{-5.24t} So now I must find the values for k_1 and...

Homework Statement A person with a mass of 80.6 kg jumps from a squat position into the air. The velocity at the beginning of the jump is zero. Fast motion video analysis reveals that the velocity of the centre of mass at take-off was 5.3 ms-1. Foot contact time when the ground reaction...

Homework Statement A 0.150 kg ball is dropped 1.25m from rest. It rebounds to a height of 0.960m. What is the impulse given to the ball by the floor? Homework Equations I=\Deltap and p=mv were the equations I was trying to use. I was pretty sure I should use F=ma since the only other...

Homework Statement (Refer to attachment) Homework Equations None. The Attempt at a Solution 5.1 Inelastic collision because they stick together. 5.2 Impulse = Lf - Li = Iwf - Iwi = (1/2MR^2 + mR^2)w1 - (1/2MR^2)w0 + mRv0 I tried to use...

Homework Statement A stream of elastic glass beads, each with a mass of 0.46 g, comes out of a horizontal tube at a rate of 108 per second. The beads fall a distance of 0.54 m to a balance pan and bounce back to their original height. How much mass must be placed in the other pan of the...

Homework Statement Ok so I'm told that there is a satellite mass m in a circular orbit of radius ro around the Earth (of mass M). I'm told the speed of the satellite is vo. So I've shown that Eo = total energy of satellite = -1/2mvo^2 Now I am told that whilst the satellite is in its...

Homework Statement The diagram shows a body, A, of mass 2.00 kg resting in a frictionless, horizontal gulley in which it is constrained to move. It is acted upon by the force shown (0.1 N at 30⁰ below the horizontal) for 5s after which time it strikes and sticks to the body, B, of mass...