Impulse Definition and 905 Threads

Homework Statement Homework Equations ΣF=ma FF=μFN impulse=ΣFΔt momentum=mv ΣFΔt=mΔv The Attempt at a Solution This is where I got stuck... How can I solve for impulse without time or velocity? Is there a way to manipulate the equations to love for either time or velocity?

Homework Statement [/B] A 10kg bowling ball is moving with a velocity of -3m/s. a) What is the momentum of the bowling ball? b) What impulse must act on the bowling ball to bring it to a stop? Homework Equations momentum=mv impulse=ΣFΔt ΣFΔt=mΔv The Attempt at a Solution a) momentum = mv...

Is Impulse an anti derivative of momentum? I know that momentum is an anti derivative of force (proof below), but I'm struggling with understanding the difference between momentum and impulse. My thoughts led me to think that both impulse and momentum are anti derivatives of force, but I'm not...

[Note: Thread moved by moderator] Hi! so I have a question I am unable to do and I've been trying it for 3 hours. The question had 2 parts, i figured out part a but cannot figure out part b. A) A 0.006kg ball is dropped from a height of 4.0m above the floor. Neglecting air resistance...

Homework Statement If you drop a drinking glass onto a concrete floor, the glass will very likely break. But if you dropped the same glass from the same height onto a carpeted floor, it might not break. Is the change in momentum of the glass the same in both cases? EXPLAIN your response...

Homework Statement https://bb9.waukesha.k12.wi.us/bbcswebdav/pid-692070-dt-content-rid-2436419_1/xid-2436419_1 The graph above was made from acelerometers placed on a person while experiencing a bungee jump. The graphed data is not smooth because it is real data. The positive direction is...

Homework Statement Consider a LTI system for which the filter coefficients are ##{\mathrm{h}_k}=\{1,2,1\}##. Find the output when the input is ##\mathrm{x}[n]=3\mathrm{cos}(\frac{\pi}{3}n-\frac{\pi}{2})-3\mathrm{cos}(\frac{7\pi}{8}n)##. Identify two frequencies in this composite signal. Show...

Homework Statement A 75-g ball is dropped from rest from a height of 2.2 m. It bounces off the floor and rebounds to a maximum height of 1.7 m. If the ball is in contact with the floor for 0.024 s, what is the magnitude and direction of the average force exerted on the ball by the floor during...

Hello. I would need some clarifications about the impulse response of a RC circuit. 1. Homework Statement Find the impulse response relative to the vc(t) voltage. NOTE: delta(t) is the exact dirac's delta of infinite amplitude, not an approximated peak. Homework Equations δ(t) = d θ(t) /...

Homework Statement I would like to know a way to design an impulse input in a Matlab Simulink model. I know there are step input and ramp input blocks but there is no impulse input block. Homework Equations The Attempt at a Solution If any working is needed please let me know

Homework Statement I was asked to draw a Simulink Model for the above (car suspension) system. m = 250kg k, spring constant = 70000N/m c, damping coefficient = 3000N/m/s Homework Equations If any equations are needed please let me know The Attempt at a Solution The question says to draw...

Homework Statement "Before the collision, vehicle #1 was traveling east and vehicle #2 was traveling north. The driver of vehicle #1 states he was traveling 35 mph as he approached the intersection. He continues to state that vehicle #2 ran the stop sign, pulling out in front of him and...

For example, consider a bullet (moving horizontally) that impacts a block (at rest) on an incline. From what I know, momentum1 + impulse = momentum2 I have the solution to the problem, and it says (for the impact), (mass of bullet)(speed of bullet) + 0 = (mass of bullet+block)(speed of...

Hi all, I am reading a book on spacecraft engineering in the section about trajectory dynamics. They define linear and angular momentum as: ##I = \int_{0}^{\tau}{F}dt## (Linear Momentum) ##L = \int_{0}^{\tau}{T}dt## (Angular Momentum) But they (and so many other sources) always mention the...

Homework Statement A 5.00 kg object traveling at 10 m/s east. Determine the velocity of the mass after an impulse of 30.0 NxS due east applied. Homework Equations Impulse=F x T p=m x v impulse= change in P The Attempt at a Solution M= 5.0 Kg Pf-Pi=Ft...

Homework Statement This is not an assigned homework problem but could be considered a hw-like problem. I do not have a physics book currently. I looked on Wikipedia, but did not find anything. I posted here in the homework section because I felt the problem may not be general enough for the...

Homework Statement A boy pulls his brother in a wagon (total mass of 35kg). He exerts a force of 72 N at an angle of 45° above the horizontal. a) How much power is he using if he walks 10 meters in 6.4 seconds? b) How fast will his brother be going after 6.4 seconds c) What is the impulse...

Homework Statement F=950 T=0.12 S Homework Equations For impulse I should use the equation J=FT the problem with this is that it yields a seemingly incorrect answer The Attempt at a Solution J=950*0.12=114

Homework Statement The question is asking me about how much impulse is applied. I would attach a picture but I honestly do not know how. Force=950 N Time=0.12 seconds Homework Equations J=FT The Attempt at a Solution J=(950)(0.12)=114. The problem with this is that there is not an answer...

Homework Statement a tennis ball of mass m = 0.075kg is thrown at a wall with a speed of v = 15m/s. It strikes the wall at a 45˚ angle and rebounds with the same speed at 45˚. What is the impulse given by the wall? Homework Equations impulse = Change in mass x Change in velocity The...

Homework Statement [/B] A stream of elastic glass beads, each with a mass of 0.53 g, comes out of a horizontal tube at a rate of 99 per second. The beads fall a distance of 0.49 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 A 178.0g ball is dropped from a height of 2.99m, bounces on a hard floor, and rebounds to a height of 1.36m. The impulse received from the floor is shown below. (Is a picture of a graph, Y-axis is force, X-axis is time. No numbers are labelled and is simply a line starting...

Homework Statement A 70.0-kg man and a 55.0-kg woman holding a 2.50-kg purse on ice skates stand facing each other. (a) If the woman pushes the man backwards so that his final speed is 1.50 m/s, with what average force did she push him, assum ing they were in contact for 0.500 s? (b) What is...

Homework Statement This is the second part of a two part question. The first part asked for the maximum force that can be applied to a bone with minimum cross-sectional area is 3.0cm2, Young's modulus 1.4 × 1010 N/m2, and can withstand a 1.0% change in length before fracturing. I calculated it...

Suppose a block of 5kg is stationary on a table with μ_{s} = .15 and μ_{k} = .1 μ_{s}(F_{N}) = μ_{s}(mg)= .15(5)(10\frac{m}{s^{2}}) =7.5N μ_{k}(F_{N}) = μ_{k}(mg)= .1(5)(10\frac{m}{s^{2}}) = 5NThe force applied to the block is represented by the function: f(x) =...

Homework Statement Please help; I've been attempting this question for days now and cannot get very far... I am desperate now Three identical particles X, Y, and Z of mass m are placed on a smooth horizontal table. X is joined to Y and Z by light (can be thought of as massless) inextensible...

Homework Statement I uploaded the question as a picture and attached it. Homework Equations Unit step function - u_c (t) = \begin{cases} 1 & \text{if } t \geq c \\ 0 & \text{if } t < c \end{cases} Impulse function - δ(t) = \displaystyle\lim_{Δ\rightarrow 0} δ_Δ (t) Multiplication Property...

Homework Statement Two identical buggies 1 and 2 of mass ##M## with one man of mass ##m## in each, move without friction due to inertia towards along two parallel rails. When the buggies are opposite to each other, the men exchange positions by jumping in a direction perpendicular to motion of...

Homework Statement Evaluate the integral. \int_{-\infty}^\infty f(2 -t) \delta(3 -t) \, dt Homework Equations The Unit Impulse function is defined \hspace{18mm} \delta(0) = 0 \hspace{10mm} t \neq 0 \hspace{-15mm} \int_{-\infty}^\infty \delta(t) \, dt = 1 The Attempt at a Solution Using...

Δ≤ Homework Statement Find final velocity. Knowns: m = 4kg Initial v = 0 m/s F = Asin(xt) F = (2000N)(sin(\frac{1000π}{sec}*t) (0sec ≤ x ≤ .001sec) We need to find the impulse from a Force vs. Time graph. There is a preface to this problem that says if we work out the Force function...

Homework Statement A 1990 kg rocket is loaded with 102 kg of propellant. It exhausts the propellant in a burn of 25s. The rocket starts at rest, and moves with a speed of 240 m/s after the burn. Determine the impulse. Homework Equations Impulse (p) = m1vf-m1vi The Attempt at a Solution How...

Hopefully the image is self-explanatory, if not: A cylinder is rotating around its central axis with angular momentum L1; an angular impulse, ΔL is then added to the cylinder, perpendicularly with respect to L1. The hypothetical result is: the cylinder has one angular mometum at the end...

Homework Statement A pointlike body of mass ##m=100## ##g## is attached to the extremity of an ideal spring, whose constant is ##K## and its length at relaxed position is negligible. The other extremity of the spring is attached to the fixed point ##O##. At first the body mass, on which the...

My book states that impulse = Ft = mv_f - mv_i But it doesn't make sense to me because what if a Force of 5N is applied to an object for 10 seconds? Then I = Ft = 5N(10s) = 50 Ns. So if I apply 5N to an object with a friction force of 5N for 10s so that the object is traveling at a constant...

Homework Statement Two cars are approaching a perpendicular intersection without a stop sign. Car 1 has a mass m1=900kg and is heading north at v1=25m/s. Car 2 has mass m2=700kg and is heading west at an unknown speed v2. The two cars collide at the intersection, and stick together as a result...

Two identical molecules A and B each of mass M travel with the same velocity towards a vertical wall at an angel 20 degrees with respect to the normal to the wall. A rebounds from the wall with the same speed while B sticks to the wall. Determine the ratio of the implus experience by A to that...

I really can't seem to wrap my head around why the specific impulse on a rocket is so much lower than that on a jet. I know a jet engine has a larger supply of oxygen, but I don't see why that has such a huge effect. I also know exhaust velocity plays a large part, but I would have thought that...

Homework Statement Find the impulse response for the systems governed by the following equations: 3y(t)'+5y(t)=x(t)+x(t)'[/B]Homework EquationsThe Attempt at a Solution I tried to obtain the homogeneous solution for h(t)[/B] and then I failed to obtain the coefficients of the solution

Human cannonballs have been a part of circuses for years. A human cannonball with a mass of 70kg experiences an impulse of 4.0 x 10^3 N•s for 0.35 s. a) Calculate the force acting on the human cannonball. F=(J)/(Δt) =(4000 N•s)/(0.35s) =11428.5 N =1.14 x 10^4 N b)How long was the barrel of...

Homework Statement A sphere of mass m is moving with a speed V along a horizontal straight line. It collides with an identical sphere of mass m moving along the same straight line with speed u (u<V). Show that the magnitude of impulse on either sphere is ½m(1+e)(V-u), where...

Homework Statement A baseball weighing 140g is traveling to the right at 35 m/s, makes contact with a baseball bat, and then leaves the bat at 55 m/s to the left at an angle 25 degrees from the horizontal. I got the right answer, I how how the solution works mathematically. The answer is...

Hi, i have a question.. I need to make a "bumper project" as shown in figure. I have all the geometric information about system and also know weight and energy which is transferred. I need to calculate the support reaction but i can not convert the energy to the force without "impact time". (F...

Homework Statement A 0.057 kg tennis ball moving west at 24 m s is hit in the opposite direction east with a tennis racket. The force acting on the ball during the hit is shown in the graph below. What is the magnitude of the final momentum of the tennis ball? A. 0.63 kgm s B. 1.37 kgm s C...

Homework Statement A long wagon with mass m0 and inital velocity v0 on a frictionless floor. On time t=0 we open a faucet which starts dripping water in a given pace Q=Δm\Δt=α. 1. What's the speed of the wagon on time t. 2. Answer 1. if on t=0 the wagon is full of water and it's mass is M0...

I am wondering how many photons must be captured by a rhodopsin molecule to energize it, and also to trigger a nerve impulse to the brain or to deeper in the eyes neural system?

Homework Statement A 2 kg frictionless cart with a velocity of 6 m/s hits a wall and rebounds with a velocity of 4 m/s. What is the impulse on the cart by the wall? Is momentum conserved? Homework Equations J = Δp The Attempt at a Solution J = Δp = pf-pi = mvf-mvi = 2kg (-4m/s -6m/s) = -20...

Recently, I've been watching a lot of those youtube videos debunking gyroscopic propulsion because everything about it violates the second law of motion or something... This got me thinking, if I was floating in space and I decided to swing a large rock on a rope around me, to generate some...

Homework Statement Where $$v = y - bu$$ It's given that the transfer function is $$h(t) = b u(t) + v(t) = b \delta(t) + e^{at}b \mu(t)$$ Homework EquationsThe Attempt at a Solution I can't seem to figure out how the impulse response above was found. I understand that the impulse response is y...

Homework Statement y(t) = e^{a(t-t_{0})} y(t_{0}) + \int_{t_{0}}^{t} e^{a(t-\tau)}b \dot{u} (\tau) d\tau u(t) = \delta(t) = \frac{1}{2} c^{3} t^{2} e^{-ct} where c >> |a|, t_0 = 0, and y(0) = 0 Find y(t) and represent the unit impulse, delta, in the solution. The remaining terms should not...

Homework Statement http://i.imgur.com/COAuag8.png Homework Equations Change of momentum and Force = impulse / time. The Attempt at a Solution I got 0.325204kg m/s for magnitude of the impulse and 8.338572195N for average force exerted by the ball on the wall...