A ballistic pendulum is a device for measuring bullet speeds. One of the simplest versions consists of a block of wood hanging from two long cords. (Two cords are used so that the bottom face of the block remains parallel to the floor as the block swings upward.) A 0.013-kg bullet traveling at 320 m/s hits a 3.0-kg ballistic pendulum. However, the block is not thick enough for this bullet, and the bullet passes through the block, exiting with one-third of its original speed.

Required:
How high above its original position does the block rise?

Answers

Answer 1

Answer:

0.043 m upwards

Explanation:

The mass of the bullet, [tex]$m_1$[/tex] = 0.013 kg

Mass of the ballistic pendulum, [tex]$m_2$[/tex] = 3 kg

Velocity of the bullet, [tex]$v_1$[/tex] = 320 m/s

Therefore, from the law of conservation of momentum, we get

[tex]$m_1v_1+m_2v_2=m_1v_1^1+m_2v_2^1$[/tex]

[tex]$(0.013 \times 320)+(3 \times 0) = \left(0.013 \times \frac{320}{0}\right) + (3 \times v_2^1)$[/tex]

[tex]$3 \times v_2^1=2.774$[/tex]

[tex]$v_2^1=0.92 \ m/s$[/tex]

Therefore the required height to rise the block is given by :

[tex]$(v_2^1)^2-v_2^2=2gh$[/tex]

[tex]$h=\frac{(v_2^1)^2-v_2^2}{2g}$[/tex]

[tex]$h=\frac{(0.92)^2-0}{2(-9.81)}$[/tex]

[tex]$h=-0.043 \ m$[/tex]

Therefore, the block moves upwards for 0.043 meters.      


Related Questions

When a radio is playing in the room next door, which sound waves can be heard best?
(Please it’s due by 11 p.m)

Answers

Answer:

low sound waves like bass pass through walls better

Explanation:

A cannonball is shot from the top of a
47.8 m high hill at a speed of 53.7 m/s.
How fast is it going when it reaches
the plain below?

Answers

Answer:

61.8

Explanation:

It must be going at a speed of 61.81 m/s when it reaches the plain below

What are  kinematic equations?

The kinematic equations are a set of equations that describe the motion of an object with constant acceleration. Kinematics equations require knowledge of derivatives, rate of change, and integrals.

using  Kinematics equations

[tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2gs                         ( a = g)

   = [tex](53.7)^{2}[/tex] + 2 * 9.8 * 47.8 m

 v  = 61.81 m/s

It must be going at a speed of 61.81 m/s when it reaches the plain below

learn more about Kinematics equations

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You purchased 1.9 kg of apples from Wollaston. You noticed that they used a spring scale with the smallest division of 2.1 g to weigh them. What is the relative error in this weight measurement as a percentage

Answers

The relative error in this weight measurement as percentage is

[tex]0.1105\%[/tex]

What is relative error?

is the ratio of the absolute error of a measurement to the measurement being taken. In other words, this type of error is relative to the size of the item being measured.

Therefore,

[tex]\% relative error = \frac{smallest division}{mass of apples}*100\\\\\% relative error = \frac{2.1g}{1900}*100\\\\\% relative error = 0.1105\%[/tex]

For more information on relative error, visit

https://brainly.com/question/64815

Answer:

The relative error in this weight measurement is approximately 0.1105 %.

Explanation:

We know that,
Relative Error is the ratio of the absolute error of a measurement to the actual measurement . It can be mathematically represented as,

Relative Error  = (Measured Value - Actual Value)  / Actual Value * 100

In this case, the actual weight is 1.9 kg, and the smallest division of the spring scale is 2.1 g.


Actual Weight = 1.9  * 1000  = 1900  (As 1 kg = 1000g)

We know that the absolute error will be equal to the smallest division hence,


Measured Value - Actual Value = 2.1 g

By replacing this in the general formula we get,

Relative Error = (Measured Value - Actual Value) / Actual Value * 100

= [tex]\frac{2.1}{1900} *100[/tex] %

= [tex]\frac{2.1}{19}[/tex] %

0.1105 %

Therefore, the relative error in this weight measurement is approximately 0.1105 %.

For more information on relative error, visit

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g a mass of 1.3 kg is pushed horizontally against a massless spring with a spring constant of 58 n/m until the spring compresses 19.5 cm if the mass is then released what is the kinetic energy of the mass when it is no longer in contact with the spring ignore friction

Answers

Answer: [tex]1.102\ J[/tex]

Explanation:

Given

Mass [tex]m=1.3\ kg[/tex]

Spring constant [tex]k=58\ N/m[/tex]

Compression in the spring [tex]x=19.5\ cm\ or\ 0.195\ m[/tex]

When the mass leaves the spring, the elastic potential energy of spring is being converted into kinetic energy of mass i.e.

[tex]\Rightarrow \dfrac{1}{2}kx^2=\dfrac{1}{2}mv^2\\\\\Rightarrow \dfrac{1}{2}\cdot 58\cdot (0.195)^2=\dfrac{1}{2}mv^2\\\\\Rightarrow \dfrac{1}{2}mv^2=1.102\ J[/tex]

The kinetic energy of the mass is 1.102 J.

In an old Sesame Street skit, Kermit the Frog interviewed a local resident on the planet Koozebane, who measures time in gleeps and distance in glorps. One glorp is defined as the distance a rock will fall from rest in one gleep. How far will a rock fall from rest during the second gleep

Answers

Answer:

four glorps

Explanation:

We know :

[tex]$y=v_{0y}t + \frac{1}{2}a_yt^2$[/tex]

[tex]$\Rightarrow -1 \text{glorp} = 0 - \frac{g}{2} \times (1 g\text{ gleep})^2$[/tex]

[tex]$\Rightarrow 1 \text{ glorp}= \frac{g}{2} (1 \text{ gleep})^2$[/tex]   .............(i)

Now, t' = 2 gleep

[tex]$y=v_{0y}t + \frac{1}{2}a_yt^2$[/tex]

  [tex]$=0+ \frac{-g}{2} (2 \text{ gleep})^2$[/tex]

  [tex]$=-\frac{4g}{2}(2 \text{ gleep})^2$[/tex]

 [tex]$=4\left[\frac{-g}{2} (\text{gleep})^2\right]$[/tex]

 = 4 (-1 gleep)     (From (i))

So, |y| = 4 glorp

PHYSICS HELP !! 30 points please answer correctly !! questions attached below

Answers

The answer for this equation is 23

Light travels at 300,000,000 m/s. This is an example

Answers

Answer:

ook soooooo

Explanation:

PLEASE HELP ME WITH THIS ONE QUESTION
The frequency of violet light is 7.5 x 10^14 Hz. How much energy does a photon of violet light carry? (h = 6.626 x 10^-34 J·s; 1 eV = 1.60 x 10^-19 J)

Answers

Answer:

3.11ev

Explanation:

[tex]E = hf[/tex]

[tex]E = 6.626 * 10^-^3^4 * 7.5 * 10^1^4\\E = 49.695 * 10^-^2^0[/tex]

[tex]1ev = 1.60 * 10^-^1^9\\xev = 49.695 * 10^-^2^0 / 1.60 * 10^-^1^9\\xev = 3.1059\\xev = 3.11eV[/tex]

Use the drop-down menus to complete each sentence.

The number of half-lives changes. This is the _______ variable.

The number of radioactive atoms changes due to the number of half-lives. The number of radioactive atoms is
therefore the _______
variable.

Answers

Answer:

Independent, then dependent

Explanation:

Just took this on Edge 2021

A French submarine and a U.S. submarine move toward each other during maneuvers in motionless water in the North Atlantic. The French sub moves at 43.00 km/hkm/h , and the U.S. sub at 64.00 km/hkm/h . The French sub sends out a sonar signal (sound wave in water) at 1000 Hz. Sonar waves travel at 5470 km/hkm/h . What is the signal's frequency as detected by the U.S. sub

Answers

Answer:

[tex]f_{U}= 1019.72hz[/tex]

Explanation:

From the equation we are told that:

Velocity of French sub [tex]V_{U}= 43.00km/h[/tex]

Velocity of U.S. sub at [tex]V_{F}|=64.00 km//h[/tex]

French Wave Frequency  [tex]F_{F}=1000Hz[/tex]

Velocity of wave  [tex]V_{s}=5470 km/h[/tex]

Generally the equation for Signal's frequency as detected by the U.S. is mathematically given by

Doppler effect

 [tex]f_{U} = \frac{ f_F (vs + v_{U})}{(v_s - v_F) }[/tex]

 [tex]f_{U}= \frac{ 1000 x ( 5470+64)}{(5470-43)}[/tex]

 [tex]f_{U}= 1019.72hz[/tex]

Two containers have a substantial amount of the air evacuated out of them so that the pressure inside is half the pressure at sea level. One container is in Denver at an altitude of about 6,000 ft and the other is in New Orleans (at sea level). The surface area of the container lid is A

Answers

Answer:

[tex](a)\ F_{No} = [P_{No} - \frac{P_{area}}{2}]* A[/tex]

[tex](b)\ F_{No} = 771.125N[/tex]

Explanation:

Given

[tex]d_D = 6000ft[/tex] ---- Altitude of container in Denver

[tex]A = 0.0155m^2[/tex] -- Surface Area of the container lid

[tex]P_D = 79000Pa[/tex] --- Air pressure in Denver

[tex]P_{No} = 100250Pa[/tex] --- Air pressure in New Orleans

See comment for complete question

Solving (a): The expression for [tex]F_{No[/tex]

Force is calculated as:

[tex]F = \triangle P * A[/tex]

The force in New Orleans is:

[tex]F_{No} = \triangle P * A[/tex]

Since the inside pressure is half the pressure at sea level, then:

[tex]\triangle P = P_{No} - \frac{P_{area}}{2}[/tex]

Where

[tex]P_{area} = 101000Pa[/tex] --- Standard Pressure

Recall that:

[tex]F_{No} = \triangle P * A[/tex]

This gives:

[tex]F_{No} = [P_{No} - \frac{P_{area}}{2}]* A[/tex]

Solving (b): The value of [tex]F_{No[/tex]

In (a), we have:

[tex]F_{No} = [P_{No} - \frac{P_{area}}{2}]* A[/tex]

Where

[tex]A = 0.0155m^2[/tex]

[tex]P_{No} = 100250Pa[/tex]

[tex]P_{area} = 101000Pa[/tex]

So, we have:

[tex]F_{No} = [100250 - \frac{101000}{2}] * 0.0155[/tex]

[tex]F_{No} = [100250 - 50500] * 0.0155[/tex]

[tex]F_{No} = 49750* 0.0155[/tex]

[tex]F_{No} = 771.125N[/tex]

An individual's belief that they can master a situation and produce positive outcomes is

Answers

Answer:

optimism

Explanation:

just an idea

....

Two identical circular, wire loops 35.0 cm in diameter each carry a current of 2.80 A in the same direction. These loops are parallel to each other and are 24.0 cm apart. Line ab is normal to the plane of the loops and passes through their centers. A proton is fired at 2600 m/s perpendicular to line ab from a point midway between the centers of the loops.
Find the magnitude of the magnetic force these loops exert on the proton just after it is fired.

Answers

Answer:

The answer is "[tex]4659.2 \times 10^{-24} \ N[/tex]"

Explanation:

The magnetic field at ehe mid point of the coils is,

[tex]\to B=\frac{\mu_0 i R^2}{(R^2+x^2)^{\frac{3}{2}}}\\\\[/tex]

Here, i is the current through the loop, R is the radius of the loop and x is the distance of the midpoint from the loop.

[tex]\to B=\frac{(4\pi\times 10^{-7})(2.80\ A) (\frac{0.35}{2})^2}{( (\frac{0.35}{2})^2+ (\frac{0.24}{2})^2)^{\frac{3}{2}}}\\\\[/tex]

       [tex]=\frac{(12.56 \times 10^{-7})(2.80\ A) \times 0.030625}{( 0.030625+ 0.0144)^{\frac{3}{2}}}\\\\=\frac{ 1.07702 \times 10^{-7} }{0.0095538976}\\\\=112.730955 \times 10^{-7}\\\\=1.12\times 10^{-5}\ \ T\\[/tex]

Calculating the force experienced through the protons:

[tex]F=qvB=(1.6 \times 10^{-19}) (2600)(1.12 \times 10^{-5})= 4659.2 \times 10^{-24}\ N[/tex]

HELP PLZ


Calculate the resistivity of a metal of length 2m at 20°C having the resistance

of 20 ohm and diameter 0.3mm?​

Answers

Answer:

40*C

Explanation:

What happens to the force of gravity between two masses if the mass of one of the objects decreases?
The force of gravity also increases
The force of gravity stays the same
The force of gravity decreases
none of these apply

Answers

It increases

Explanation:

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between object

Answer:

C: Gravity decreases

Explanation:

Write the differential equation that governs the motion of the damped mass-spring system, and find the solution that satisfies the initial conditions specified. Units are mks;
????
is the damping coefficient, with units of kg/sec.

m

Answers

This question is incomplete, the complete question  is;

Write the differential equation that governs the motion of the damped mass-spring system, and find the solution that satisfies the initial conditions specified. Units are mks; γ is the damping coefficient, with units of kg/sec

m = 0.2, γ = 1.6 and k = 4

Initial displacement is 1 and initial velocity is -2

x" + _____ x' ____x = 0

x(t) =

Answer:

the solution that satisfies the initial conditions specified is;

x(t) = [tex]c_1e^{-4t}cos(2t)[/tex] + [tex]c_2e^{-4t}sin(2t)[/tex]

Explanation:

Given the data in the question ;

m = 0.2, γ = 1.6, k = 4

x(0) = 1, x'(0) = -2

Now, the differential equation that governs the motions of spring mass system is;

mx" + γx' + kx = 0

so we substitute

0.2x" + 1.6x' + 4x = 0

divide through by 0.2

x" + 8x' + 20x = 0

hence, characteristics equation will be;

m² + 8m + 20 = 0

we find m using; x = [ -b±√(b² - 4ac) ] / 2a

m = [ -8 ± √((8)² - 4(1 × 20 )) ] / 2(1)

m = [ -8 ± √( 64 - 80 ) ] / 2

m = [ -8 ± √-16 ) ] / 2

m = ( -8 ± 4i ) / 2

m = -4 ± 2i

Hence, the general solution of the differential equation is;

x(t) = [tex]c_1e^{-4t}cos(2t)[/tex] + [tex]c_2e^{-4t}sin(2t)[/tex]

From the initial conditions;

c₁ = 1, c₂ = 1

the solution that satisfies the initial conditions specified is;

x(t) = [tex]c_1e^{-4t}cos(2t)[/tex] + [tex]c_2e^{-4t}sin(2t)[/tex]

A chemist measures the flow of charged ions through a circuit. Which of these would increase the current? Select all that apply.

Answers

2,3 and 5 should be right

Help


An object’s mass 300 kg is observed to accelerate at the rate of 4 m/s^2. Calculate the force required to produce this acceleration. *


1. 1000 N
2 .75 N
3. 1200 N
4. 1250 N

Answers

The answer for this is 1200N

What is Hooke's law? what is meant by elastic limit?
please answer me​

Answers

Answer:

Hooke's law describes the elastic properties of materials only in the range in which the force and displacement are proportional. Hooke's law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. the maximum extent to which a solid may be stretched without permanent alteration of size or shape, is called elastic limit

mark me brainliestt :))

Two boats - Boat A and Boat B - are anchored a distance of 24 meters apart. The incoming water waves force the boats to oscillate up and down, making one complete cycle every 10 seconds. When Boat A is at its peak, Boat B is at its low point and there is a crest in between the two boats. The vertical distance between Boat A and Boat B at their extreme is 8 meters. The wavelength is ___ m, the period is ___ s, the frequency is ___ Hz, and the amplitude is ___ m.

Answers

Answer:

wavelength = 24 m

Period = 10 s

f = 0.1 Hz

Amplitude = 4 m

Explanation:

Wavelength:

Since the boats are at crest and trough, respectively at the same time. Hence, the horizontal distance between them is the wavelength of the wave:

wavelength = 24 m  

Period:

The period is given as:

[tex]Period = \frac{time}{no.\ of\ cycles} \\\\Period = \frac{10\ s}{1}\\\\[/tex]

Period = 10 s

Frequency:

The frequency is given as:

[tex]f = \frac{1}{time\ period}\\\\f = \frac{1}{10\ s}\\\\[/tex]

f = 0.1 Hz

Amplitude:

Amplitude will be half the distance between extreme points, that is, crest and trough:

Amplitude = 8 m/2

Amplitude = 4 m

Help me with this please

Answers

a is the answer:))))

I'm a little bit unsure about this question.

Answers

Answer:

Option C. 4 Hz

Explanation:

To know the correct answer to the question given above, it is important we know the definition of frequency.

Frequency can simply be defined as the number of complete oscillations or circles made in one second.

Considering the diagram given above, the wave passes through the medium over a period of one second.

Thus, we can obtain the frequency by simply counting the numbers of complete circles made during the period.

From the diagram given above,

The number of circles = 4

Thus,

The frequency is 4 Hz

Blue whales apparently communicate with each other using sound of frequency 17.0 Hz, which can be heard nearly 1000 away in the ocean. What is the wavelength of such a sound in seawater, where the speed of sound is 1531 m/s

Answers

Answer:

the wavelength of the sound in seawater is 90.1 m.

Explanation:

Given;

frequency of the sound, f = 17 Hz

speed of the sound in seawater, v = 1531 m/s

The wavelength of the wave is calculated as follows;

v = fλ

λ = v / f

where;

λ is the wavelength of the sound

λ = 1531 / 17

λ = 90.1 m

Therefore, the wavelength of the sound in seawater is 90.1 m.

im paying on my phone but dont have full access when i log into computer

Answers

Answer:

um let me know what i can do to try get you full access

Explatnation:

Two parallel slits are illuminated by light composed of two wavelengths, one of which is 657 nm. On a viewing screen, the light whose wavelength is known produces its third dark fringe at the same place where the light whose wavelength is unknown produces its fourth-order bright fringe. The fringes are counted relative to the central or zeroth-order bright fringe. What is the unknown wavelength

Answers

Answer:

     λ = 5.75 10⁻⁷ mm

Explanation:

This is a slit interference exercise, we analyze each wavelength separately                    

            λ = 657 nm                                     indicate that the third dark pattern

          a sin θ = (m + ½) lam

          a sin θ = (3 + ½) 657 10⁻⁹

          a sin θ = 2299.5 10⁻⁹ nm

for the other wavelength in the same place we have m = 4 bright

          a sin θ = m lam

           

we substitute

           2299.5 10⁻⁹ = 4 λ

           λ = [tex]\frac{2299.5 \ 10^9 }{ 4}[/tex]

           λ = 5.75 10⁻⁷ mm

An object is placed 50cm in front of a concave mirror of radius 60cm. How far from the mirror is the image?

Answers

Answer:To explian the exact calculation of this pruduct we must not try!

How does rainwater contribute to aquatic succession

Answers

Answer:

Rain water carries sediment and then these accumulate on the bottom of ponds, lakes and wetlands. This accumulation build up over time and eventually, the water disappears (because they sink into the ground) and the area once covered with water becomes land.

Two waves that have
(10 Points)
will add together to produce beats *
the same frequency
slightly different frequencies
different speeds
the same wavelength

Answers

Answer:

slightly different frequencies

Explanation:

The alternate increase or decrease of sound produced by the interference of two sound waves of slightly  different frequencies is called ‘Beat’. The maximum beat frequency that a human ear can detect is 7 beats/sec.

This definition of the beats is clearly pointing out that the two waves whose frequencies are slightly different will add together to produce the beats.

Therefore, the correct answer will be:

slightly different frequencies

Radon has a half-life of 56s. After what time will it's activity be reduced to (a) 90% (b) 50% (c) 10% of it's initial value​

Answers

Answer:

A) 11.2 s

B) is 56 s

C) 170.8 s

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Prokaryotes cells , prokaryotes are divided into two distinct groups: the bacteria and the arches, which sciences believe that have a relatively simple structure.
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