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10 Nov 2019

The labeled graphs below represent the upward trajectories of 4bodies, two sliding upwards on frictionless inclines and two infree flight. Note that all 4 bodies reach the same maximum height(9 meters) after traveling from the same initial elevation (0m).

Answer Choices: G-Greater than, L-Less than, E-Equal to

(a) The time of travel of R is ____ that of P

(b) The initial speed of N is ____ that of Q.

(c) The initial speed of R is ____that of P.

(d) The time of travel of Q is ____that of R.

(e) The initial speed of R is ____that of Q.

(f) The time of travel of N is ____that of Q

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Hubert Koch
Hubert KochLv2
31 Aug 2019

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Related textbook solutions

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

Related questions

A small mass m slides with negligible friction down an inclineat an angle of 25.76° with respect to the horizontal. It then dropsdown to a horizontal surface and bounces elastically back up asshown.

The picture is to scale. It shows the position of the mass atequal time intervals starting from rest at V. The height of themass at P is the same as at U.

Answer Choices: G-Greater than, L-Less Than, E-Equal to

(a) The speed change between V and X is ____ between X andT.

(b) The velocity of m at U is ____ that at P.

(c) The size of the total force on m at R is ____ at S.

(d) The speed of m at S is _____ that at Q.

(e) The size of the total force on m at Q is _____ at X.

(f) The mechanical energy of m at P is _____ that at Q.

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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