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23 Nov 2019

A student uses a force of 24.1 Newtons to push on a 338 gram massto compress a
spring a horizontal spring a distance of 11.5 centimeters. When thestudent lets
go of the mass, the spring uncompresses and shoots the mass awayfrom it.
a) How fast does the mass leave the spring?
b) The spring mass slides along a frictionless surface until itcomes to a
frictionless incline. How high does it move up the incline.

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Sixta Kovacek
Sixta KovacekLv2
19 Mar 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A student uses a force of 24.1 N to push on a .338 kg mass to compress a horizontal spring a distance of .115 m. When the student let's go of the mass, the spring uncompresses and shoots the mass away from it. The spring mass slides along a frictionless surface until it comes to a friction incline. How fast does the mass leave the spring? How high does it move up the incline?

1. How far (in meters) must a 600 kg pile driver fall, ifit is to do 14000 J of work?

2. A spring whose spring constant is 150 N/m is compressed0.800 m. What speed (in meters/second) can it give to a 0.600 kgball when released?

3. A 550 N crate rests on the floor. How much work injoules is required to move it at constant speed 4.0 m along thefloor, against a friction force of 140 N?

4. What is the minimum work in joules needed to push a1710 kg car 74.0 m up a 12.5 degree incline? (Ignorefriction.)

6. A 1620 kg car rolling on a horizontal surface has aspeed of 70 km/hr when it strikes a horizontal coiled spring and isbrought to rest in a distance of 5.5 m. What is the spring constant(in N/m) of the spring? (Ignore nonconservative forces such asfriction.)

8. Tarzan is running at a top speed of 5.0 m/s and grabs avine hanging vertically from a tall tree in the jungle. How high(in meters) can he swing upward?

9. An object slides down a frictionless 33 degree inclinewhose vertical height is 87.0 cm. How fast is it going inmeters/second when it reaches the bottom?

Good Vibes: Introduction to Oscillations

 

The conditions that lead to simple harmonic motion are as follows:

There must be a position of stable equilibrium.

There must be a restoring force acting on the oscillating object. The direction of this force must always point toward the equilibrium, and its magnitude must be directly proportional to the magnitude of the object's displacement from its equilibrium position. Mathematically, the restoring force F⃗  is given by ⃗, where is the displacement from equilibrium and k is a constant that depends on the properties of the oscillating system.

The resistive forces in the system must be reasonably small.

Consider a block of mass m attached to a spring with force constant k, as shown in the figure(Figure 1) . The spring can be either stretched or compressed. The block slides on a frictionless horizontal surface, as shown. When the spring is relaxed, the block is located at x=0. If the block is pulled to the right a distance A and then released, A will be the amplitude of the resulting oscillations.

Assume that the mechanical energy of the block-spring system remains unchanged in the subsequent motion of the block.

Part A

After the block is released from x=A, it will

(a) remain at rest

(b) move to the left until it reaches equilibrium and stop there. 

(c) move to the left until it reaches x= –A and stop there. 

(d) move to the left until it reaches x=−A and then begin to move to the right.

 

 

 

The time it takes the block to complete one cycle is called the period. Usually, the period is denoted T and is measured in seconds.

The frequency, denoted f, is the number of cycles that are completed per unit of time: f=1/T. In SI units, f is measured in inverse seconds, or hertz (Hz).

Part B

If the period is doubled, the frequency is

(a) unchanged 

(b) doubled 

(c) halved

 

Part C

An oscillating object takes 0.10 s to complete one cycle; that is, its period is 0.10 s. What is its frequency f?

Express your answer in hertz.

 

Part D

If the frequency is 40 Hz, what is the period T?

Express your answer in seconds.

 


The following questions refer to the figure (Figure 2) that graphically depicts the oscillations of the block on the spring.

Note that the vertical axis represents the x-coordinate of the oscillating object, and the horizontal axis represents time.

 

Part E

Which points on the x-axis are located at a distance A from the equilibrium position?

(a) R only

(b) Q only

(c) both R and Q

 

Part F

Suppose that the period is T. Which of the following points on the t-axis are separated by the time interval T?

(a) K and L

(b) K and M 

(c) K and P

(d) L and N 

(e) M and P 

 

 

Now assume for the remaining Parts G - J, that the x coordinate of point R is 0.12 m and the t coordinate of point K is 0.0050 s.

Part G

What is the period T?

Express your answer in seconds.

 

Part H

How much time t does the block take to travel from the point of maximum displacement to the opposite point of maximum displacement?

Express your answer in seconds.

 

Part I

What distance d does the object cover during one period of oscillation?

Express your answer in meters.

 

Part J

What distance d does the object cover between the moments labeled K and N on the graph?

Express your answer in meters.

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