**Educational Content on Force and Momentum**### DescriptionA cart that can move along a straight track has a mass of **3.00 kg** and an initial velocity of **4.00 m/s** in the negative x-direction. The cart is then subjected to a net force that is initially in the positive x-direction, but which eventually switches direction to the negative x-direction, as shown in the graph of force as a function of time below. The force is directed only in the +x or -x direction.### Graph ExplanationThe graph displays the net force \( F_x \) over time \( t \).- **Vertical Axis (Force \( F_x \) in Newtons):** Ranges from -20 N to +30 N.- **Horizontal Axis (Time \( t \) in seconds):** Ranges from 0 to 35 seconds. Key features include:- From 0 s to 5 s, the force is +20 N.- From 5 s to 15 s, the force decreases linearly to -10 N at 15 s.- From 15 s to 25 s, the force is constant at 0 N.- From 25 s to 30 s, the force increases to +20 N.- From 30 s to 35 s, the force is constant at +20 N.### Tasks(a) **Complete the table below to show the cart's momentum and velocity at the indicated times. Use + and − signs, as appropriate.**| Time | Momentum | Velocity ||------------|------------------------|-------------------|| \( t = 0 \, \text{s} \) | \( p = \) ___________________ kg·m/s | \( v = \) ___________________ m/s || \( t = 20 \, \text{s} \) | \( p = \) ___________________ kg·m/s | \( v = \) ___________________ m/s || \( t = 25 \, \text{s} \) | \( p = \) ___________________ kg·m/s | \( v = \) ___________________ m/s |(b) **The cart's momentum at \( t = 20 \, \text{s} \) is exactly the same as its momentum at \( t = \) ______ s.** Students are tasked with calculating the momentum and velocity of the cart at specified times based on force interactions

In this question we are given that a cart that can move along a straight track has a mass of 3.00 kg…

Answered: A cart that can move along a straight…

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

Similar questions

Problem 2: A runaway train has a mass of 1.5 × 104 kg and a speed of 5 m/s. How much time does it take for a force of magnitude 1500 N to bring the train to rest?
On a particle of mass m = 20 g, act three forces F1, F2 and F3 on the paper plan. The forces F2 = 4 N, F3 = 3N and F1 is unknown (see figure). If the particle acquires an acceleration a = 0.2 m/s2 as a product of the action of these three forces in the direction O = 20 °, determine the magnitude of force F1 if a = 290° and B = 180 °
A 12 kg block sits on a ramp inclined at 11 degrees that has a coefficient of friction of 0.9. A string runs from the block over a pulley at the top of the ramp and then hangs straight down to a suspended weight. If the block slides up the ramp at an acceleration of 1.4 m/s2, find the mass of the suspended weight.
A parachutist whose mass is 90 kg drops from a helicopter hovering 1500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 20 N-sec/m when the chute is closed and b₂ = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 35 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec². The parachutist will reach the ground after (Round to two decimal places as needed.) seconds.
Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The subway train shown is traveling at a speed of 38 mi/h when the brakes are fully applied on the wheels of car A, causing it to slide on the track, but the brakes are not applied on the wheels of cars B or C. 40 tons B The force FAB is 19.388 The force FBC is 50 tons ‒‒‒‒‒ C Knowing that the coefficient of kinetic friction is 0.35 between the wheels and the track, determine the force in each coupling. 40 tons lb Compression 8.6 lb Compression
Number 6
A train locomotive pulls a train with a mass of 1.10 ✕ 10^7kg on level rails. The locomotive exerts a constant force of 6.90 ✕ 10^5N on the train. How much time does it take to increase the speed of the train from rest to 64.0 km/h? (Ignore any resistance force from the rails on the wheels of the train. Enter your answer in minutes.)
A particle of mass 5.30 kg is acted on by a single force of 32.2 N. If the particle starts at rest, how far does it travel in the first 15.0 s?
A person catches a ball with a mass of 145 g dropped from a height of 60.0 m above his glove. His hand stops the ball in 0.0100 s. What is the force exerted by his glove on the ball? Assume the ball slows down with constant acceleration.
A flea jumps by exerting a force of 1.02 x 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 1.16 × 10-6 N on the flea. Find the direction and magnitude (in m/s²) of the acceleration of the flea if its mass is 6.0 × 107 kg. (Let us assume that F points to the right. We will consider this to be the +x direction and vertical to be the +y wind direction.) magnitude 17.1 Did you draw a free-body diagram, and identify the forces acting on the flea? Consider the forces acting on the flea during the time it is in contact with the ground. m/s² direction 6.49 Review vector components. In which of the four quadrants is the resultant force located?° (measured clockwise from the vertical) Tutorial Supporting Materials Physical Constants Submit Answer
Three forces acting on an object are given by F₁ = (−2.2î + 6.85ĵ) N, F₂ = (4.75î – 1.25ĵ) N, and F3 = (-401) N. The object experiences an acceleration of magnitude 3.80 m/s². (a) What is the direction of the acceleration? 98.50 X Note that the direction of the acceleration is the same as the direction of the net force.° (counterclockwise from the +x-axis) (b) What is the mass of the object? 9.964 kg (c) If the object is initially at rest, what is its speed after 11.0 s? 41.8 m/s (d) What are the velocity components of the object after 11.0 s? (Let the velocity be denoted by v.) ✓ = -41.34 m/s +6.18

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS