A 0.25 kg puck is initially stationary on an ice surface with negligible friction. At time t=0, a horizontal force begins to move the puck. The force is given by F = (18.0 – 3.041²) î, with Fin newtons and t in seconds, and it acts until its magnitude is zero. (a) What is the magnitude of the impulse on the puck from the force between t = 0.441 s and t = 1.82 s? (b) What is the change in momentum of the puck between t = 0 and the instant at which F = 0?

A 0.25 kg puck is initially stationary on an ice surface with negligible friction. At time t=0, a horizontal force begins to move the puck. The force is given by F = (18.0 – 3.041²) î, with Fin newtons and t in seconds, and it acts until its magnitude is zero. (a) What is the magnitude of the impulse on the puck from the force between t = 0.441 s and t = 1.82 s? (b) What is the change in momentum of the puck between t = 0 and the instant at which F = 0?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A 0.29 kg puck is initially stationary on an ice surface with negligible friction. At time t = 0, a…

Q: A student applies a force on a puck equal to the one shown in the figure. If the mass of the puck is…

A: Given,

Q: The contact force between two objects during the first few seconds of contact is given by F(t) =…

A: The free body diagram of the problem is given below. Here, N1 is the normal reaction force acting…

Q: A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing…

A: (a) The magnitude of linear impulse experienced by the passenger during the car's acceleration is…

Q: A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing…

A: Given: mass of passenger, m= 72 kg Initial speed= 0 m/s Final speed= 5.6 m/s Time= 0.818 s

Q: A stone of mass 5 kg drops from rest at a height of 6.11 m. What magnitude of impulse, J, does…

Q: A force in the negative direction of an x axis is applied for 16 ms to a 0.59 kg ball initially…

A: Given m=0.59 Kg(mass of ball) u=18m/s (initial velocity of ball) I=-29.2 Ns(impulse) t=16*10-3 s…

Q: A cruise ship with a mass of 1.43 ✕ 107 kg strikes a pier at a speed of 0.672 m/s. It comes to rest…

A: Mass of cruise ship, m= 1.43 ✕ 107 kg Initial speed, u= 0.672 m/s Final speed, v=0 Distance covered,…

Q: A girl weighing 490 N jumps from a tree, and her center of mass falls a vertical distance of 1.80 m.…

Q: A particle with a mass of 1.55 kg is acted on by a force Fx acting in the x-direction. If the…

Q: A 1300 kg car moving at 5.2 m/s is initially traveling north in the positive y direction. After…

A: Calculate the initial momentum of the car. pi=mvijpi=(1300 kg)(5.2 m/s)jpi=(6760 kg⋅m/s)j Calculate…

Q: In a common but dangerous prank, a chair is pulled away as a person is moving downward to sit on it,…

Q: 2.00 m 66.4° A VO

Q: A class F model rocket engine can provide an impulse between 40-80 N-s. A student attaches a class F…

Q: A force in the negative direction of an x axis is applied for 32 ms to a 0.75 kg ball initially…

A: Given: Direction of force is in negative x direction. Implementation of force for time (t) = 32 ms.…

Q: A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing…

Q: girl weighing 530 N jumps from a tree, and her center of mass falls a vertical distance of 1.50 m.…

Q: A volleyball with a mass of 0.269 kg approaches a player horizontally with a speed of 14.0 m/s. The…

A: Given data The mass of volleyball is m = 0.269 kg. The speed of the volleyball is vi = 14 m/s. The…

Q: A person is pushing a 8.58 kg block along a horiontal surface at a constant speed of 16.8 m/s. The…

Q: A(n) 0.698 kg football is thrown with a speed of 9.08 m/s. A stationary receiver catches the ball…

Q: A volleyball with a mass of 0.269 kg approaches a player horizontally with a speed of 14.0 m/s. The…

A: a) Apply the impulse-momentum equation to determine the magnitude of the impulse.

Q: A car of mass 1760 kg is speeding up on level ground. Its position as a function of time is: where…

Q: The force shown in the force-time diagram acts on a 2.5 kg object. Find the impulse of the…

Q: A particle with a mass of 1.20 kg is acted on by a force Fx acting in the x-direction. If the…

A: Mass of Particle M = 1.2 Kg (a) Impulse of the Force J→ = ? J→ = Fav(∆t) = (8N)(5) = 40…

Q: A particle with a mass of 1.40 kg is acted on by a force Fx acting in the x-direction. If the…

A: Given : m = 1.40 kg, force- time graph is given

Q: Consider the problem of returning a serve in tennis. A serve is hit at a speed of 73.3 m/s, and is…

A: (a) Calculate the magnitude of the impulse exerted to the ball is equal to the change momentum of…

Q: A ball of mass is 0.261 kg is dropped vertically from a height of 0.67 m and bounces back to the…

Q: A ball of mass 4.506 kg is thrown upward with a speed of 5.727 m/s. What is the magnitude of the…

A: Write the given values with the suitable variables. m=4.506 kgu=5.727 m/s Here, m is the mass and u…

Q: A 1.0 kg ball drops vertically onto a floor, hitting with a speed (just before hitting floor) of 20…

A: (a)The initial momentum of the ball is.The final velocity of the ball rebounds so the final momentum…

Q: A force of 90.0 newtons is applied to a cart traveling at 15.0 meters per second. After the force…

Question

A 0.25 kg puck is initially stationary on an ice surface with negligible friction. At time $ t = 0 $, a horizontal force begins to move the puck. The force is given by $ \vec{F} = (18.0 - 3.04t^2) \hat{i} $, with $ \vec{F} $ in newtons and $ t $ in seconds, and it acts until its magnitude is zero.

**(a)** What is the magnitude of the impulse on the puck from the force between $ t = 0.441 $ s and $ t = 1.82 $ s?

**(b)** What is the change in momentum of the puck between $ t = 0 $ and the instant at which $ F = 0 $?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A force in the negative direction of an x axis is applied for 36 ms to a 0.28 kg ball initially moving at 22 m/s in the positive direction of the axis. The force varies in magnitude, and the impulse has magnitude 42.8 N s. (a) What is the ball's velocity (including sign for direction) just after the force is applied? (b) What is the average magnitude of the force on the ball? (a) Number i Units (b) Number i Units
Please help with following question!
A(n) 0.56 kg softball is pitched at a speed of12 m/s. The batter hits it back directly at thepitcher at a speed of 28 m/s. The bat acts onthe ball for 0.017 s.What is the magnitude of the impulse imparted by the bat to the ball?Answer in units of N · s. What is the magnitude of the average forceexerted by the bat on the ball?Answer in units of N.
A particle with a mass of 1.90 kg is acted on by a force Fx acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. (a) impulse of the force (in kg · m/s ) kg · m/s (b) final velocity of the particle (in m/s) if it is initially at rest m/s (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of −25.00 m/s. m/s
A person is pushing a 8 kg block along a horiontal surface at a constant speed of 15.4 m/s. The person is applying a force of 8.9 N to the block at an angle of 36.7° above horizontal. If the block moves a distance of 3.55 m, what is the magnitude of the impulse parted upon the block by the force of gravity?
A pitcher throws a 0.200 kg ball so that its speed is 11.0 m/s and angle is 35.0° below the horizontal when a player bats the ball directly toward the pitcher with velocity 42.0 m/s at 30.0° above the horizontal. Assume +î to be along the line from the batter to the pitcher and +ĵ to be the upward vertical direction. (Express your answers in vector form.) (a) Determine the impulse (in N s) delivered to the ball. I = (b) If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force (in N) on the ball? max N.S = N
A cruise ship with a mass of 1.43 ✕ 107 kg strikes a pier at a speed of 0.672 m/s. It comes to rest 5.94 m later, damaging the ship, the pier, and the tugboat captain's finances. Calculate the average force (in N) exerted on the pier using the concept of impulse. (Hint: First calculate the time it took to bring the ship to rest. Assume the ship moves in the positive direction. Indicate the direction with the sign of your answer.)
The magnitude of the net force exerted in the x direction on a 3.40-kg particle varies in time as shown in the figure below. F (N) 4 3 1 t(s) 4 5 1 3 (a) Find the impulse of the force over the 5.00-s time interval. × N·s (b) Find the final velocity the particle attains if it is originally at rest. m/s %3D if = (c) Find its final velocity if its original velocity is -2.60 î m/s. m/s %3D if = (d) Find the average force exerted on the particle for the time interval between 0 and 5.00 s. Favg =
A particle with a mass of 1.50 kg is acted on by a force Fx acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. Fx (N) 8 6 4 2 1 2 (a) impulse of the force (in kg. m/s) kg. m/s 3 4 5 t (s) (b) final velocity of the particle (in m/s) if it is initially at est m/s (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of -3.00 m/s. m/s
A particle with a mass of 2.45 kg is acted on by a force F acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. Fx (N) 8 6 4 t (s) 1 3 4 (a) impulse of the force (in kg · m/s ) kg · m/s (b) final velocity of the particle (in m/s) if it is initially at rest m/s (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of -1.60 m/s. m/s
A 1300 kg car moving at 6.3 m/s is initially traveling north in the positive y direction. After completing a 90° right-hand turn to the positive x direction in 3.6 s, the inattentive operator drives into a tree, which stops the car in 290 ms. What is the magnitude of the impulse on the car (a) due to the turn and (b) due to the collision? What is the magnitude of the average force that acts on the car (c) during the turn and (d) during the collision? (e) What is the angle between the average force in (c) and the positive x direction? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Units MacBook Pro esc > @ $ & 1 2 3 4 Q W E R Y tab S F K caps lock C V M hift fn control option command
The magnitude of the net force exerted in the x direction on a 2.10-kg particle varies in time as shown in the figure below. F (N) 4 3 2 1 1 2 3 4 (a) Find the impulse of the force over the 5.00-s time interval. I = 12 X N.s t (s) (b) Find the final velocity the particle attains if it is originally at rest. √₁² 3.076 = avg = (c) Find its final velocity if its original velocity is -2.30 î m/s. 7₁ -0.024 = X m/s (d) Find the average force exerted on the particle for the time interval between 0 and 5.00 s. F 2.4 X m/s XN