There is a model train of mass 0.5 k g which is placed at one end of a straight 3 m electric track. A force F ( x ) = ( 3 x – x 2 ) N is acting on the train at a distance x m along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Question

Want to see the full answer?

Answer 1

Question

Chapter 6.5, Problem 40E

To determine

There is a model train of mass $0.5 k g$ which is placed at one end of a straight $3 m$ electric track. A force $F (x) = (3 x - x^{2}) N$ is acting on the train at a distance $x m$ along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Write Newton’s Second Law of Motion for three-dimensionalmotion with only the gravitational force (acting in the z-direction).

A seasoned parachutist went for a skydiving trip where he performed freefall before deploying the parachute. According to Newton's Second Law of Motion, there are two forcës acting on the body of the parachutist, the forces of gravity (F,) and drag force due to air resistance (Fa) as shown in Figure 1. Fa = -cv ITM EUTM FUTM * UTM TM Fg= -mg x(t) UTM UT UTM /IM LTM UTM UTM TUIM UTM F UT GROUND Figure 1: Force acting on body of free-fall where x(t) is the position of the parachutist from the ground at given time, t is the time of fall calculated from the start of jump, m is the parachutist's mass, g is the gravitational acceleration, v is the velocity of the fall and c is the drag coefficient. The equation for the velocity and the position is given by the equations below: EUTM PUT v(t) = mg -et/m – 1) (Eq. 1.1) x(t) = x(0) – Where x(0) = 3200 m, m = 79.8 kg, g = 9.81m/s² and c = 6.6 kg/s. It was established that the critical position to deploy the parachutes is at 762 m from the ground…

A particle moves along the x-axis. At time t=0 the particle passes through the origin with speed 8ms-1 in the positive x- direction. The acceleration of the particle at time t seconds, t is greater than or equal to 0, is (4t^3-12t)ms-2 in the positive x-direction. Find: a) the velocity of the particle at time t seconds b) the displacement of the particle from the origine at time t seconds c) the values of t at which the particle is instantaneously at rest

Answer 2

Question

Chapter 6.5, Problem 40E

To determine

There is a model train of mass $0.5 k g$ which is placed at one end of a straight $3 m$ electric track. A force $F (x) = (3 x - x^{2}) N$ is acting on the train at a distance $x m$ along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 6.5, Problem 40E

To determine

There is a model train of mass $0.5 k g$ which is placed at one end of a straight $3 m$ electric track. A force $F (x) = (3 x - x^{2}) N$ is acting on the train at a distance $x m$ along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 6.5, Problem 40E

To determine

There is a model train of mass $0.5 k g$ which is placed at one end of a straight $3 m$ electric track. A force $F (x) = (3 x - x^{2}) N$ is acting on the train at a distance $x m$ along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 6.5, Problem 40E

To determine

There is a model train of mass $0.5 k g$ which is placed at one end of a straight $3 m$ electric track. A force $F (x) = (3 x - x^{2}) N$ is acting on the train at a distance $x m$ along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Answer 6

Chapter 6.5, Problem 40E

To determine

There is a model train of mass $0.5 k g$ which is placed at one end of a straight $3 m$ electric track. A force $F (x) = (3 x - x^{2}) N$ is acting on the train at a distance $x m$ along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Answer 7

Chapter 6.5, Problem 40E

To determine

There is a model train of mass $0.5 k g$ which is placed at one end of a straight $3 m$ electric track. A force $F (x) = (3 x - x^{2}) N$ is acting on the train at a distance $x m$ along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 11

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

There is a model train of mass 0.5 k g which is placed at one end of a straight 3 m electric track. A force F ( x ) = ( 3 x – x 2 ) N is acting on the train at a distance x m along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Solution Summary: The author explains the Work-Energy Theorem, which states that the change in kinetic energy during the particular time interval is equal to the amount of work performed.

Concept explainers

Videos

Want to see the full answer?

Chapter 6 Solutions

There is a model train of mass 0.5 k g which is placed at one end of a straight 3 m electric track. A force F ( x ) = ( 3 x – x 2 ) N is acting on the train at a distance x m along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Solution Summary: The author explains the Work-Energy Theorem, which states that the change in kinetic energy during the particular time interval is equal to the amount of work performed.

Concept explainers

Videos

There is a model train of mass 0.5 kg which is placed at one end of a straight 3 m electric track. A force F(x) = (3x – x2) N is acting on the train at a distance x m along the electric track. Find the velocity of the train when it reaches the end of the track using Work-Energy Theorem.

Want to see the full answer?

Chapter 6 Solutions