# Two sinusoidal waves with the same amplitude of 9.11 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in the figure, as valley A travels in

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### physics

Q8: Two sinusoidal waves with the same amplitude of 9.00 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in fig., as valley A travels in the negative direction of the x axis by distance d=56 cm in...

### Physics

Two sinusoidal waves with the same amplitude of 9.11 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in the figure, as valley A travels in the negative direction of the x axis by distance d = 60.0...

### Physics

Two sinusoidal waves with the same amplitude of 9.11 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in the figure, as valley A travels in the negative direction of the x axis by distance d = 60.0...

### physics

Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 4.2 cm, ym2 = 5.9 cm, ö1 = 0, and ö2 = /5 rad, what is the amplitude (in cm) of the resultant wave?

### physics

Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 4.2 cm, ym2 = 5.9 cm, ö1 = 0, and ö2 = /5 rad, what is the amplitude (in cm) of the resultant wave?

### physics - waves

Two sinusoidal waves, identical except for phase, travel in the same direction along a string producing a net wave y'(x, t) = (1.5 mm) sin(29x - 4.0t + 0.960 rad), with x in meters and t in seconds. (a) What is the wavelength of the two waves? I found the wavelength to be 0.22...

### physics

Two waves traveling on a string in the same direction both have a frequency of 92 Hz, a wavelength of 0.19 m, and an amplitude of 0.32 m. What is the amplitude of the resultant wave if the original waves differ in phase by pi /3 rad? What is the phase difference between the ...

### physics

Two waves traveling on a string in the same direction both have a frequency of 92 Hz, a wavelength of 0.19 m, and an amplitude of 0.32 m. What is the amplitude of the resultant wave if the original waves differ in phase by pi /3 rad? What is the phase difference between the ...

### Physics waves

Two sinusoidal waves travel in the same direction and have the same frequency. Thier amplitudes are Y1 and Y2. The smallest possible amplitude of the resultant wave is: a) Y1+Y2 and occurs if they are 180 degrees out of phase b) [Y1-Y2] and occurs if they are 180 degrees out ...

### physics help 2 please!

A 4.0 Hz wave with an amplitude of 12 cm and a wavelength of 30.0 cm travels along a stretched horizontal string. (a) How far does a given peak on the wave travel in a time interval of 6.0 s? ? m (b) How far does a knot on the string travel in the same time interval? ? m once ...

### physics

Two waves traveling on a string in the same direction both have a frequency of 100 Hz, a wavelength of 2cm and an amplitude of .02 m. What is the amplitude of the resultant wave if the original waves differ in phase (a) by Pi/6 and (b) by Pi/3

### Physics

A wave with an amplitude of 31 mm interferes with another wave that has the same wavelength, an amplitude of 13 mm. a) What is the maximum amplitude of the resultant wave if the two waves are in phase? b) What is the maximum amplitude of the resultant wave if the two waves are...

### physics

Two waves are travelling on a string in the same direction. Both have a frequency of 101 Hz, a wavelength of 0.400 m, and an amplitude of 0.410 m. What is the amplitude of the resultant wave if the original waves differ in phase by π/4 rad?

### Physics

Two waves traveling on a string in the same direction both have a frequency of 150 Hz, a wavelength of 2 cm, and an amplitude of 0.06 m. What is the amplitude of the resultant wave if the original waves differ in phase by each of the following values? (a) pi/6 (b) pi/3 I am ...

### physics - SHM

Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string with a speed of 11 cm/s. If the time interval between instants when the string is flat is 0.33 s, what is the wavelength of the waves? wavelength = (wave speed) / (...

### waves (physics)

Two sinussoidal waves identical except for phase travel in the same direction along a string and interfere to produce a resultant wave given by y(x,t)= (3.0mm) sin(20 rad/m)x - 4.0rad/s t + 0.820 rad) with x in meters and t in seconds. What is a) the wavelength of the two ...

### physics

Two sinusoidal waves travel in the same direction and have the same frequency. Their amplitudes are Y1 and Y2. The smallest possible amplitude of the resultant wave is: a) Y1 + Y2 and occurs if they are 180 degrees out of phase b)[Y1 - Y2] and occurs if the are 180 degrees out...

### physics (please help)

Two identical but separate strings, with the same tension, carry sinusoidal waves with the same frequency. Wave A has an amplitude that is twice that of wave B and transmits energy at a rate that is _____ that of wave B. a)half b)twice c) one-fourth d)four times e) eight times...

### Physics (please help)

Two sinusoidal waves travel in the same direction and have the same frequency. Their amplitudes are Y1 and Y2. The smallest possible amplitude of the resultant wave is: a) Y1 + Y2 and occurs if they are 180 degrees out of phase b)[Y1 - Y2] and occurs if the are 180 degrees out...

### Physics

Waves of all wavelengths travel at the same speed v on a given string. Traveling wave velocity and wavelength are related by v=lambda*f,where v is the wave speed, lambda is the wavelength (in meters), and f is the frequency [in hertz]. Since only certain wavelengths fit ...

### physics

Two identical traveling waves, moving in the same direction, are out of phase by /5.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves? (Give the answer as the ratio of the total amplitude to the common amplitude.)

### Physics

Two identical traveling waves, moving in the same direction, are out of phase by PI/3.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves? (Give the answer as the ratio of the total amplitude to the common amplitude...

### Physics

Two identical traveling waves, moving in the same direction, are out of phase by PI/3.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves? (Give the answer as the ratio of the total amplitude to the common amplitude...

### Physics

Which one of the following will form a standing wave: (1) two waves of the same amplitude and speed moving in the same direction (2) two waves of the same amplitude and speed moving in the opposite directions, (3) any two traveling waves can form standing wave if they have ...

### physic

The waves emitted from a source A is given by y1 = 6 sin π(20t – 0.5x) where y1, x and t are expressed in units of meter and seconds. (a) Determine the wavelength and the frequency of the radio waves. At the same time, source B generates waves y2 that is identical to y1...

### physics

A harmonic wave is traveling along a string. If the oscillator that generates the wave completes 23 vibrations in 18.50 seconds and if it takes a crest 20.21 seconds to travel 168 cm along the rope. What is the wavelength of the wave? Answer in cm.

### physics

Given the information which statements are true or false? We know that when we pluck a string on an instrument the resulting sound wave travels through the air at a speed of (about) 344 m/s. But the wave moving on the STRING itself doesn't have to travel at 344 m/s. Let's ...

### Physics

Let's consider some of the things that affect the velocity of a standing wave on a string: decide whether each of the following statements are T-True, or F-False. (If the first is T and the rest are F, enter TFFFF) A) The velocity of the wave traveling on a string is higher if...

### Physics

A string along which waves can travel is 2.5 m long and has a mass of 300 g. The tension in the string is 72 N. What must be the frequency of traveling waves of amplitude 6.6 mm for the average power to be 68 W?

### Science

1. A weatherman reports, "the storm waves are about 2 meters high and about 35 meters apart. "what properties of waves is the reporter describing? Frequency and wavelength Wavelength and wave speed***** Amplitude and wavelength Amplitude and frequency 2. Sound proof rooms take...

### Science

1. A weatherman reports, "the storm waves are about 2 meters high and about 35 meters apart. "what properties of waves is the reporter describing? Frequency and wavelength Wavelength and wave speed***** Amplitude and wavelength Amplitude and frequency 2. Sound proof rooms take...

### Science

1. A weatherman reports, "the storm waves are about 2 meters high and about 35 meters apart. "what properties of waves is the reporter describing? Frequency and wavelength Wavelength and wave speed***** Amplitude and wavelength Amplitude and frequency 2. Sound proof rooms take...

### Science

1. A weatherman reports, "the storm waves are about 2 meters high and about 35 meters apart. "what properties of waves is the reporter describing? Frequency and wavelength Wavelength and wave speed***** Amplitude and wavelength Amplitude and frequency 2. Sound proof rooms take...

### Science

1. A weatherman reports, "the storm waves are about 2 meters high and about 35 meters apart. "what properties of waves is the reporter describing? Frequency and wavelength Wavelength and wave speed***** Amplitude and wavelength Amplitude and frequency 2. Sound proof rooms take...

### Science

1. A weatherman reports, "the storm waves are about 2 meters high and about 35 meters apart. "what properties of waves is the reporter describing? Frequency and wavelength Wavelength and wave speed Amplitude and wavelength Amplitude and frequency 2. Sound proof rooms take ...

### Physics

A string along which waves can travel is 2.50 m long and has a mass of 203 g. The tension in the string is 26.0 N. What must be the frequency of traveling waves of amplitude 7.70 mm in order that the average power be 85.0 W?

### Physics

To demonstrate standing waves, one end of a string is attached to a tuning fork with frequency 120 Hz. The other end of the string passes over a pulley and is connected to a suspended mass M, as shown. The value of M is such that the standing wave pattern has eight loops “...

### Physics

To demonstrate standing waves, one end of a string is attached to a tuning fork with frequency 120 Hz. The other end of the string passes over a pulley and is connected to a suspended mass M, as shown. The value of M is such that the standing wave pattern has eight loops “...

### Science

1. A weatherman reports, “The storm waves are about 2 meters high and about 35 meters apart.” What properties of waves is the reporter describing? (1 point) A. frequency and wavelength B. wavelength and wave speed C. amplitude and wavelength*** D. amplitude and frequency 7...

### Physics

Two waves travel in the same medium at the same speed. One has wavelength 0.0382 m and frequency 9.67×106 Hz. The other has wavelength 0.0486 m. What is the period of the second wave?

### physics

A point on a string undergoes simple harmonic motion as a sinusoidal wave passes. When a sinusoidal wave with speed 24 m/s, wavelength 30 cm, and amplitude of 1.0 cm passes, what is the max speed of a point on the string?

### Physics

Two waves, identical except for phase, are traveling in the same direction through the same medium. Each of the waves has amplitude A. The amplitude of the combined (net) wave is 1.14A. What is the absolute value for the smallest possible phase difference between the two waves...

### Physics

I don't know how to answer this questin i guess I don't understand the definition A streteched sgtring fized at both ends is 2.0 m long. What are three wavelengths that will poduce standing waves on the string? Name at least one wavelenght that would not produce a standing ...

### physics graphing help please

(a) Write the equation for a transverse sinusoidal wave with a maximum amplitude of 2.5 cm and an angular frequency of 2.9 rad/s that is moving along the positive x-direction with a wave speed that is 5.00 times as fast as the maximum speed of a point on the string. Assume ...

### Physics

A 6.0- m-long string has a mass of 12.5 g. Transverse waves propagate along the string with a speed of 189.0 m/s. One end of the string is forced to oscillate at 120.0Hz with an amplitude of 0.470 cm. What power is transmitted along the string?

### physics

What is the maximum amplitude of the resultant waves at the position of 2 . 7 m along the x -axis?

### Physics 11

Waves traveling along a string have a wavelength of 2.4m. When the waves reach the fixed end of the string, they are reflected to produce a standing wave pattern. How far from the end are the first 2 antinodes? I feel like I don't have enough info here... I know that 1 ...

### Physics 11

Waves travelling along a string have a wavelength of 2.4m. When the waves reach the fixed end of the string, they are reflected to produce a standing wave pattern. How far from the end are the first 2 antinodes? I know that each wavelength has 2 antinodes so each antinode has ...

### Physics

A sinusoidal wave traveling on a string is moving in the positive x-direction. The wave has a wavelength of 6 m, a frequency of 48 Hz, and an amplitude of 9 cm. What is the wave function for this wave? (Use any variable or symbol stated above as necessary.) I know the answer ...

### physics

Earthquakes are motions of the earth's crust. Essentially, they are big sound waves that travel through the earth. There are two types of waves. The first type is called a longitudinal or P wave, where the earth compresses in the same direction as the wave travels. The second ...

### Physics

When interference happens with two monochromatic light waves, which of the following is a characteristic of the amplitude of the resultant wave? a. it is zero. b. it is equal to the sum of the amplitudes of the component waves. c. less than the amplitude of either of the ...

### Physics - Waves

A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 30.0 s. A given crest of the wave travels 425 cm along the rope in a time period of 10.0 s. What is the wavelength?

### Physics (please help)

A sinusoidal wave travels along a string. The time for a particle to move from maximum displacement to zero is 0.170s. What are the a)period b)frequency c) the wavelength is 1.40m what is the wave speed? ok I know i need the equation T=1/f and the wave equation y=YSIN{kx-wt...

### physics

When driven by a 120 Hz vibrator, a string has transverse waves of 31 cm wavelength traveling along it. (a) What is the speed of the waves on the string& (b) Is the tension in the string is 1.2 N, what is the mass of 50 cm of the string?

### science

A string with mass per unit length 0.0065 kg/m is used to suspend a 30 kg mass over a pulley. A transverse wave with wavelength 40 cm and amplitude 2.5 mm moves along the string. Determine the maximum speed of a particle on the string.

### physics

Which of the following conditions is not necessary to observe an interference pattern between two sets of waves? Choose one answer. a. The waves must have the same wavelength. b. The waves must have a constant phase difference. c. The waves must have the same amplitude. d. The...

### physics

A string is stretched between two supports that are L = 0.9 m apart. It resonates at a frequency of f = 410 Hz with a standing wave pattern that has two nodes between the two supports. (a) Find the wavelength λ in meters. (b) Suppose that the tension, T, in the string is ...

### Physics

A sinusoidal wave traveling on a string is moving in the positive x-direction. The wave has a wavelength of 8 m, a frequency of 60 Hz, and an amplitude of 9 cm. What is the wave function for this wave? (Use any variable or symbol stated above as necessary.) I think the ...

### Physics(wave motion and propagation)

A uniform heavy rope hangs freely from a support. the support is made to oscillate horizontally with a small amplitude so as to send transverse waves down the rope.A standing wave is set up as these waves are reflected at the free end.Which of the following statements is / are...

### physics

A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x - 41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ... a) ... the phase of the wave at x = 2.27 cm and t = 0.175 s. ? b)... the ...

### physics

A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x - 41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ... a) ... the phase of the wave at x = 2.27 cm and t = 0.175 s. ? b)... the ...

### physics

A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x - 41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ... a) ... the phase of the wave at x = 2.27 cm and t = 0.175 s. ? b)... the ...

### physics

A wave of amplitude 0.37 m interferes with a second wave of amplitude 0.18 m is traveling in the same direction. What is the largest resultant amplitude that can occur?

### physics please helpp

A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x - 41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m ... a) ... the phase of the wave at x = 2.27 cm and t = 0.175 s. ? b)... the ...

### Physics

A string is 2.4 m long, and the speed of sound along this string is 450 m/s. Calculate the frequency of the wave that would produce a first harmonic. Assume the string has nodes at both ends. What I've Tried Ln=2.4m v= 450 m/s f=? n=2 Ln=(4-1)/4 * Wavelength Wavelength = 2.4m/...

### Physics

A string of length 2.7 m is fixed at both ends. When the string vibrates at a frequency of 90.0 Hz, a standing wave with 5 loops is formed. What is the wavelength of the waves that travel on the string?

### Physical science

A wave travels along a string at a speed of 1,5m 1s.if the frequency of the source of the wave is 7,5hz,calculate:(a)the wavelength of the wave..(b)the period of the wave

### Physics

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 2.90 s for the boat to travel from its highest point to its lowest, a total distance of 0.640 m. The fisherman sees that the wave crests are spaced 7.60 m...

### Physics

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 2.90 s for the boat to travel from its highest point to its lowest, a total distance of 0.640 m. The fisherman sees that the wave crests are spaced 7.60 m...

### Physics

The speed of a transverse wave on a stretched string can be changed by adjusting the tension of the string. A stationary wave pattern is set up on a stretched string using an oscillator set at a frequency of 650 Hz. How must the wave be changed to maintain the same stationary ...

### physics

A typical steel B-string in a guitar resonates at its fundamental frequency at 240 Hertz. The length of the string is 0.620 m. What is the wave velocity along the string? Find your answer in m/s, but do not enter units. IS THE ANSWER 148.8m/s? (Frequency)(Wavelength)= Velocity...

### physics

A sinusoidal transverse wave of amplitude ym = 3.2 cm and wavelength = 3.4 cm travels on a stretched cord. Find the ratio of the maximum particle speed (the speed with which a single particle in the cord moves transverse to the wave) to the wave speed.

### physics

A sinusoidal transverse wave of amplitude ym = 6.4 cm and wavelength = 5.2 cm travels on a stretched cord. Find the ratio of the maximum particle speed (the speed with which a single particle in the cord moves transverse to the wave) to the wave speed.

### physics

the speed of a transverse wave on a string is 450m/s while the wavelength is 0.18m. The amplitude of the wave is 2.0mm. How much time is required for a particle of the string to move a total distance of 1.0km.... The thing that confuses me about this question is the amplitude ...

### physics

A string with linear mass density μ = 0.0279 kg/m under a tension of T = 183 N is oriented in the x-direction. Two transverse waves of equal amplitude and with a phase angle of zero (at t = 0) but with different frequencies (ω = 3420 rad/s and ω/3 = 1140 rad/s) ...

### physics

A string with linear mass density μ = 0.0279 kg/m under a tension of T = 183 N is oriented in the x-direction. Two transverse waves of equal amplitude and with a phase angle of zero (at t = 0) but with different frequencies (ω = 3420 rad/s and ω/3 = 1140 rad/s) ...

### physics

A sinusoidal wave on a string is described by the equation y = (0.169 m) sin (0.713 x - 41.9 t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 10.1 g/m .. if needs values of these ( the speed of the wave is 58.77 m/s) (the ...

### Physics

1) A wave with frequency 3.1 Hz and amplitude 2.7 cm moves in the positive x-direction with speed 5.6 m/s. Determine the wavelength. 2) The equation of a wave along the x-axis is given as: ξ cm = 3.4 sin (1.13 x - 0.75 t) in which ξ is the displacement. Units on the ...

### Physics

A stretched string is attached to an oscillator. On which of the following quantities does the wavelength of the waves on the string depend? Select all that apply. The choices are: A) The frequency of the oscillator. B) The tension applied to the string. C) The amplitude of ...

### Physics

A string has a linear density of 6.7 x 10-3 kg/m and is under a tension of 210 N. The string is 1.6 m long, is fixed at both ends, and is vibrating in the standing wave pattern shown in the drawing. Determine the (a) speed, (b) wavelength, and (c) frequency of the traveling ...

### Physics

A string on a musical instrument (1 m long) carries travelling waves at 100 m/s. What are the three lowest notes that this string can play (keeping the string at its full length)? You have the length. You can put one half wavelength on the string, one wavelength, or 3/2 ...

### Physics

A series of pulses, each of amplitude 0.190 m, are sent down a string that is attached to a post at one end. The pulses are reflected at the post and travel back along the string without loss of amplitude. (a) What is the displacement at a point on the string where two pulses ...

### Science Help Please

A weatherman reports, "The storm waves are about 2 meters high and about 25 meters apart." What properties of waves is the reporter describing? A. frequency and wavelength B. wavelength and wave speed C. amplitude and wavelength D. amplitude and frequency Is the answer C?

### Science

1.A weatherman reports, “The storm waves are about 2 meters high and about 35 meters apart.” What properties of waves is the reporter describing? (1 point) A.frequency and wavelength B.wavelength and wave speed C.amplitude and wavelength*** D.amplitude and frequency

### Physics

A sinusoidal wave is traveling on a string with speed 30.00 cm/s. The displacement of the particles of the string at x = 15 cm is found to vary with time according to the equation y = (5.0 cm) sin[1.5 - (3.0 s-1)t]. The linear density of the string is 5.0 g/cm. (a) What is the...

### Physics

A string has a linear density of 6.7 x 10-3 kg/m and is under a tension of 210 N. The string is 1.6 m long, is fixed at both ends, and is vibrating in the standing wave pattern shown in the drawing. Determine the (a) speed, (b) wavelength, and (c) frequency of the traveling ...

### physics

A string has a linear density of 8.1 x 10-3 kg/m and is under a tension of 200 N. The string is 2.9 m long, is fixed at both ends, and is vibrating in the standing wave pattern shown in the drawing. Determine the (a) speed, (b) wavelength, and (c) frequency of the traveling ...

### Physics

A string has a linear density of 6.2 x 10-3 kg/m and is under a tension of 250 N. The string is 1.2 m long, is fixed at both ends, and is vibrating in the standing wave pattern shown in the drawing. Determine the (a) speed, (b) wavelength, and (c) frequency of the traveling ...

### Physics

A string has a linear density of 6.2 x 10-3 kg/m and is under a tension of 250 N. The string is 1.2 m long, is fixed at both ends, and is vibrating in the standing wave pattern shown in the drawing. Determine the (a) speed, (b) wavelength, and (c) frequency of the traveling ...

### Science HW - - - check my answers?

1. Compare the two light waves above. Which wave would produce the brightest light and which wave would have the least energy? a. wave A; wave A b. wave A; wave B c. wave B; wave A d. wave B; wave B 2. Which waves have the longest wavelength and lowest energy on the ...

### Physics

The equation of a transverse wave traveling along a very long string is given by y = 5.2 sin(0.013π|x + 4.7π|t), where x and y are expressed in centimeters and t is in seconds. (a) Determine the amplitude. (b) Determine the wavelength. (c) Determine the frequency. (d...

### PHYSICS PLEASE HELP

This question has two parts: First: A typical steel B-string in a guitar resonates at its fundamental frequency at 240 Hertz. The length of the string is 0.640 m. What is the wave velocity along the string?. Second: Find the wavelength of the third harmonic of the guitar string

### physics. HELP PLEASE

A string has a linear density of 5.3 x 10-3 kg/m and is under a tension of 370 N. The string is 1.8 m long, is fixed at both ends, and is vibrating in the standing wave pattern shown in the drawing. Determine the (a) speed, (b) wavelength, and (c) frequency of the traveling ...

### Physics

A wave of amplitude 0.30m interferes with a second wave of amplitude 0.20m traveling in the same direction. What are (a) the largest and (b) the smallest resultant amplitudes that can occur, and under what conditions will these maxima and minima arise?

### Physics

A large ant is standing on the middle of a circus tightrope that is stretched with tension T_s. The rope has mass per unit length mu. Wanting to shake the ant off the rope, a tightrope walker moves her foot up and down near the end of the tightrope, generating a sinusoidal ...

### PHYSICS -HELP

A traverse periodic wave described by the expression y=5sin (pi x/3 - 30pi t) (where y and x are in meters and t is in seconds) is established on a string. By reflecting this wave from a rigid support, standing transverse waves are set up on a stretched string. It is observed ...

### Physics

If travelling waves move at 140 m/s on this string, what musical note is this string currently producing? In hertz The fundamental is 1/2 wavelength. So you have to know string length. wavelength*fundamentalfreq= wave speed.

### Physics

Two upward wave pulses are generated at opposite ends of a string and travel toward each other. One has an amplitude of 4.85 cm and the other has an amplitude of 3.27 cm. What is the maximum displacement of any particle of the string?

### physics

Two balls have the same mass. One ball moving along the positive x-axis and the other ball moving along the positive y-axis undergo perfectly inelastic collision. What can you say about the motion of the balls after the collision? a) the balls stick and move together b) the ...