Question

A small object with mass m = 0.0900 kg moves along the +x-axis. The only force on the object is a...

A small object with mass m = 0.0900 kg moves along the +x-axis. The only force on the object is a conservative force that has the potential-energy function U(x)=−αx2+βx3, where α= 9.50 J/m2 and β = 0.300 J/m3. The object is released from rest at small x.

A) When the object is at x = 4.00 m, what is its speed?


Express your answer with the appropriate units.


B) When the object is at x = 4.00 m, what is the magnitude of its acceleration?

D) What is the maximum value of x reached by the object during its motion?

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Kindly Upvote My Answer

It's my request

Thanks

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A particle of mass 0.0269 kg moves along the x-axis under the influence of a conservative...
A particle of mass 0.0269 kg moves along the x-axis under the influence of a conservative force. The potential energy of the particle is given by the following formula U=-A/x where A = 1,200 Jm. A) Find the work done on the particle by the conservative force in moving it from x = 10.0 m to x = 60.0 m. B) If the speed of the particle was 5.00 m/s at x = 10.0 m, what is its speed at...
A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis....
A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is at x = 2.0 m, its velocity is -1.265 m/s. What is F(2.)? (sign gives direction) Between what positions on the left and right does the particle move? Left side? Right side? What is the particle's speed at x = 7.0 m
A small object moves along the x x -axis with acceleration ax(t) a x ( t...
A small object moves along the x x -axis with acceleration ax(t) a x ( t ) = −(0.0320m/s3)(15.0s−t) − ( 0.0320 m / s 3 ) ( 15.0 s − t ) . At t t = 0 the object is at x x = -14.0 m m and has velocity v0x v 0 x = 6.40 m/s m / s . What is the xx-coordinate of the object when tt = 10.0 ss?
A small block with mass 0.0400 kg is moving in the xy-plane. The net force on...
A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential- energy function U(x,y)= (5.80 J/m2 )x2-(3.60 J/m3 )y3. Part A. What is the magnitude of the acceleration of the block when it is at the point x= 0.38 m, y= 0.53 m? Part B. What is the direction of the acceleration of the block when it is at the point x= 0.38 m , y= 0.53 m...
A small object moves along the x-axis with acceleration ar = -a(1-t/to). At t = 0...
A small object moves along the x-axis with acceleration ar = -a(1-t/to). At t = 0 the object is at x = Xo meters and has velocity vo. What is the position of the object when t = 2to? a, xo, Vo, and to are positive constants.
A particle with a mass m = 2.00 kg is moving along the x axis under...
A particle with a mass m = 2.00 kg is moving along the x axis under the influence of the potential energy function U(x) = (2.00 J/m2)x2 − 32.0 J. If the particle is released from rest at the position x = 6.40 m, determine the following. (The sign is important. Be sure not to round intermediate calculations.) (a) total mechanical energy of the particle at any position: =_____ J. (b) potential energy of the particle at the position x...
A small object with mass 4.10 kg moves counterclockwise with constant speed 1.35 rad/s in a...
A small object with mass 4.10 kg moves counterclockwise with constant speed 1.35 rad/s in a circle of radius 3.05 m centered at the origin. It starts at the point with position vector 3.05î m. Then it undergoes an angular displacement of 8.65 rad. (a) What is its new position vector? m (b) In what quadrant is the particle located and what angle does its position vector make with the positive x-axis? Second  at ??° (c) What is its velocity? m/s...
A small object with mass 3.10 kg moves counterclockwise with constant speed 5.20 m/s in a...
A small object with mass 3.10 kg moves counterclockwise with constant speed 5.20 m/s in a circle of radius 4.50 m centered at the origin. It starts at the point with position vector (4.50 + 0 ) m. Then it undergoes an angular displacement of 8.50 rad. (e) What is its acceleration? (i + j (m/s^2))
A particle moves along the x axis. It is initially at the position 0.150 m, moving...
A particle moves along the x axis. It is initially at the position 0.150 m, moving with velocity 0.080 m/s and acceleration -0.340 m/s2. Suppose it moves with constant acceleration for 5.60 s. (a) Find the position of the particle after this time. (b) Find its velocity at the end of this time interval. Next, assume it moves with simple harmonic motion for 5.60 s and x = 0 is its equilibrium position. (Assume that the velocity and acceleration is...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t...
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.60 s and t = 3.20 s. The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s (b) Determine the instantaneous speed at t = 1.60 s.   m/s Determine the instantaneous...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT