# physics

posted by .

A block of mass = 0.85 kg is connected to a spring of force constant = 775N/m on a smooth, horizontal surface.

1) Plot the potential energy of the spring from = -5.00 cm to = 5.00 cm.

2) Determine the turning points of the block if its speed at x = 0 is 1.1 m/s

Thank you!

• physics -

To plot the potential energy, simply plug your givens into the equation U=(1/2)kx^2. You should get a parabola that goes to 0 in the center.
To determine the turning points of the block, use the law of conservation of energy. You know that Ui+Ki = Uf+Kf since there is no friction. At x=0, there will be no potential energy (Ui=0). A "turning point" is where the motion will stop and the block will move in the opposite direction. This means that Kf=0.
So, set Ki=Uf
(1/2)mv^2 = (1/2)kx^2
(1/2)(.9)(1.2)^2 = (1/2)(775)x^2
Solve for x=.0409 m
This will be the first turning point. The other turning point will be the opposite of this (remember the parabola) - so x=-.0409 m.

## Similar Questions

1. ### physics

In Figure (a), a block of mass m lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (spring constant k) whose other end is fixed. The block is initially at rest at the position where the spring …
2. ### Physics

A 0.500 kg block is sitting on a horizontal, frictionless surface. The block is connected to a horizontal spring with a force constant of 124 N/m. The other end of the horizontal spring rests against a wall. When a 100.0 g arrow is …
3. ### Physics

A 0.500 kg block is sitting on a horizontal, frictionless surface. The block is connected to a horizontal spring with a force constant of 124 N/m. The other end of the horizontal spring rests against a wall. When a 100.0 g arrow is …
4. ### physics

A block of ice of mass 4.10 kg is placed against a horizontal spring that has force constant k = 210 N/m and is compressed a distance 2.60×10−2 m. The spring is released and accelerates the block along a horizontal surface. …
5. ### physics

A block of mass = 0.85 kg is connected to a spring of force constant = 775N/m on a smooth, horizontal surface. 1) Plot the potential energy of the spring from = -5.00 cm to = 5.00 cm. 2) Determine the turning points of the block if …
6. ### physics

a block of mass m=0.9 kg is connected to a spring of force constant k= 775 N/m on a smooth horizontal surface. plot the potential energy of the spring from x= -5 cm to x= 5 cm. determine the turning points of the block if its speed …
7. ### Physics

Block A of mass 2.0 kg and Block B of 8.0 kg are connected by a spring of spring constant 80 N/m and negligible mass. The system is being pulled to the right across a horizontal frictionless surface by a horizontal force of 4.0 N, …
8. ### physics

A spring (spring 1) with a spring constant of 520N/m is attached to a wall and connected to another weaker spring (spring 2) with a spring constant of 270N/m on a horizontal surface. Then an external force of 70N is applied to the …
9. ### Physics

A moving 3.20 kg block collides with a horizontal spring whose spring constant is 224 N/m. The block compresses the spring a maximum distance of 5.50 cm from its rest position. The coefficient of kinetic friction between the block …
10. ### Physics

A moving 3.20 kg block collides with a horizontal spring whose spring constant is 224 N/m. The block compresses the spring a maximum distance of 5.50 cm from its rest position. The coefficient of kinetic friction between the block …

More Similar Questions