The diagram above shows a ballistic pendulum. A 10 g bullet is fired into the suspended 2 kg block of wood and
remains embedded inside it (a perfectly inelastic collision). After the impact of the bullet, the block swings up to a
maximum height h. If the initial speed of the bullet was 35 m/s:

A.) What was the momentum of the bullet before the collision?

B.) What was the kinetic energy of the bullet before the collision?

C.) What was the velocity of the bullet-block system just after the collision?

D.) What was the total kinetic energy of the bullet-block system after the collision?

E.) What is the maximum possible potential energy of the bullet-block system when it reaches its maximum height?

F.) What is the maximum possible height of the bullet-block system?

The Diagram Above Shows A Ballistic Pendulum. A 10 G Bullet Is Fired Into The Suspended 2 Kg Block Of

Answers

Answer 1

The kinetic energy of the bullet-block system is equal to the potential energy of the bullet-block system when it reaches its maximum height.

Conservation  of Linear momentum

According to the principle of conservation of linear momentum, momentum before collsion is equal to momentum after collision. Let us now answer the questions individually.

1) The momentum of the bullet before collsion = (0.001 Kg * 35 m/s) = 0.35 Kgms-1

2) The kinetic energy of the bullet before collision = 0.5 * 0.001 * (35 m/s)^2 = 0.6125 J

3) Velocity after collsion is obtained from;

(0.001 Kg * 35 m/s) + (2 kg * 0 m/s) = (0.001 Kg + 2 kg) v

v = 0.35/2.001 =

v=0.1749 m/s

4) Total kinetic energy after collison = 0.5 * (0.001 Kg + 2 kg) * (0.1749 m/s)^2

= 0.031 J

5) The maximum possible potential energy of the bullet-block system when it reaches its maximum height = Total kinetic energy after collison = 0.031 J

6) The  maximum possible height of the bullet-block system is obtained from;

PE = mgh

h = 0.031 J/(0.001 Kg + 2 kg) * 9.8 ms-2

h = 0.0015 m or 0.15 cm

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Related Questions

A garbage can of mass 12 kg standing on horizontal ground is pushed by a horizontal force of 40N. If the coefficient of static friction is 0. 32 and the coefficient of dynamic or

kinetic friction is 0. 24 between the can and ground, the acceleration of the garbage can is

____ m/s2

Answers

The acceleration of the garbage can is 2.55 m/s².

What is acceleration?

Acceleration is the rate of change of velocity with respect to time.

To calculate the acceleration of the can, we use the formula below

Formula:

ma = F-mg(η-μ)............ Equation 1

Where:

F = Horizontal forcem = mass of the cang = acceleration due to gravitya = acceleration of the canμ = Coefficient of static frictionη = Coefficient of kinetic friction

Make a the subject of the equation

a = [F-mg(η-μ)]/m.................. Equation 2

From the question,

Given:

F = 40 Nm = 12 kgg = 9.8 m/s²μ = 0.32η = 0.24

Substitute these values into equation 2

a = [40-12×9.8(0.32-0.24)]/12a = (40-9.408)/12a = 30.592/12a = 2.55 m/s²

Hence, the acceleration of the garbage can is 2.55 m/s².

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3. Barrett was working in his shop on a truck. Suddenly something exploded and sent his wrench flying across
the shop at 25m/s and it took the wrench 5 seconds to get from one side of the garage to the other. What wa
the distance Barrett's wrench traveled during the explosion?

Answers

Answer:

125 meters

Explanation:

we know that

v × t = d

v = 25

t = 5

so the distance should be 5 × 25

answer is 125 meters

How does a white dwarf compare to our sun as it exists now?.

Answers

Answer:

answer down below

Explanation:

it has similar mass but the white dwarf is much denser

angular velocity of a rotating wheel increases 2 rev/s every minute. The angular acceleration of this wheel is:

Answers

The angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².

Angular acceleration of the wheel

The angular acceleration of an object is the rate of change of anguar velocity of the object with time.

[tex]\alpha = \frac{\Delta \omega }{\Delta t}[/tex]

where;

Δω is the change in the angular velocityΔt is the change in time

Change in angular velocity of the wheel is calculated as follows;

[tex]\Delta \omega = 2 \ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} = 4\pi \ rad/s = 12.57 \ rad/s[/tex]

Change in time, Δt = 1 min = 60 s

The angular acceleration of the rotating wheel is calculated as follows;

α = (12.57) / (60)

α = 0.21 rad/s²

Thus, the angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².

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A round tube weighs 30 lbs. If the tube is stood on end it pushes down on the floor with a pressure of
2 lbs/in?. How many square inches is the end of the tube?

Answers

Answer:

15in2

Explanation:

The diagram shows part of a radio antenna.The plastic tube protects the radio antenna from bad weather.Dust particles carried by the wind rub against the plastic tube.After some time, the dust particles cause the tube to become positively charged.State the property of plastic that allows it to become electrostatically charged.

Have a good day!! :>

A car initially travels west with a kinetic energy of 10 J. Then it travels east at three times its original speed. What is its kinetic energy when it is traveling east

Answers

KE₁ = 1/2mv²

10 J = 1/2mv²

KE₂ = 1/2m(3v)²

KE₂ = 1/2mv².9

KE₂ = 10 . 9 = 90 J

Why did astronomers suspect an eighth planet beyond uranus? how did they determine where to look for it? construct the correct explanation.
drag the terms on the left to the appropriate blanks on the right to complete the sentences.

brightness - mass - orbit - position - kepler's third law - value - law of gravity


observation of uranus showed small but significant discrepancy between its predicted ______ and its actual ________ , which could mean that another object perturbed its motion.
in the mid-1800s, astronomers used the ________ to predict where a planet would have to be.

Answers

Astronomers suspected an eighth planet beyond Uranus because of the irregularities in the motion of Uranus suggested that gravity from another planet was affecting it.

Who is an astronaut?

It should be noted that an astronaut simply means an individual who is trained to travel in spacecrafts.

In this case, astronomers suspected an eighth planet beyond Uranus because of the irregularities in the motion of Uranus suggested that gravity from another planet was affecting it.

In mid-1800s, astronomers used the orbits of most asteroids to predict where a planet would have to be.

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Why doesn't mercury have an atmosphere?

Answers

First mercury is small and does not have much gravity so it is hard to hold on to atmosphere . Second mercury is close to the sun .

Answer:

 The main reasons are two. Mercury's atmosphere is hard to hold onto because it is small and does not have much gravity. As Mercury is close to the Sun, any atmosphere is blasted away by material being blown off the Sun.

Hope this helps friend!

Can you hear the vibrations a tuning fork puts off when hit?

Answers

no

Explanation:

no not an vibration signal

The game starts with the serve on the left side of the court.
O
True
O
False

Answers

Answer:

Explanation:

well it depends what game are you talking about

What is the new period if the pendulum is taken to a planet that has 4 times the mass and 4 times the radius of earth

Answers

The new period of the pendulum when it is taken to the new planet is  double of its period on Earth.

Period of a pendulum

The period of a pendulum is given by the following formula;

[tex]T = 2\pi \sqrt{\frac{l}{g} }[/tex]

where;

g is acceleration due to gravity of the pendulumL is length of the pendulumAcceleration due to gravity of the new planet

The acceleration due to gravity of the new planet is calculated as follows;

[tex]g_E = \frac{GM_E}{R_E^2} = 9.81 \ m/s^2 \\\\g(new \ planet) = \frac{G(4M_E)}{(4R_E)^2} = \frac{4GM_E}{16R_E^2} = \frac{GM_E}{4R_E^2} = \frac{9.81}{4} = 2.45 \ m/s^2[/tex]

New period of the pendulum

[tex]T = 2\pi \sqrt{\frac{l}{g} } \\\\T =\frac{2\pi \sqrt{l} }{\sqrt{g} } \\\\T_1\sqrt{g_1} = T_2\sqrt{g_2} \\\\T_E\sqrt{g_E} = T\sqrt{g} \\\\T = \frac{T_E\sqrt{g_E}}{\sqrt{g} } \\\\T = \frac{T_E \times \sqrt{9.81} }{\sqrt{2.45} } \\\\T = 2T_E[/tex]

Thus, the new period of the pendulum when it is taken to the new planet is double of its period on Earth.

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What is current of 12 ohm? help me pleasee​

Answers

Answer:

2.5A

Explanation:

We know the relation :

V = IR

V = voltage (potential difference)I = currentR = resistance

By using the formula,

I = V/RI = 30/12I = 10/4I = 2.5A

Answer :-

Current of Device = 2.5 Ampere .

Explanation :-

As per the provided information in the given question, we have been given that the Potential Difference is 30 Volt . The Resistance is given as 12 Ohm . And, we have been asked to calculate the Current of the Device.

For calculating the Current , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed { \sf{ \: Current \: = \: \dfrac{Potential \: Difference}{Resistance} \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf { Current \: = \: \dfrac{Potential \: Difference}{Resistance} } [/tex]

[tex] \longmapsto \: \: \: \sf { Current \: = \: \dfrac{30}{12} } [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Current \: = \: 2.5 }} [/tex]

Hence :-

Current = 2.5 Ampere .

[tex]\underline {\rule {180pt} {4pt}} [/tex]

What do tripped circuit breakers and blown fuses indicate.

Answers

Answer:

When a circuit breaker regularly trips or a fuse repeatedly blows, it is a sign that you are making excessive demands on the circuit and need to move some appliances and devices to other circuits. Or, it may indicate that your house has too few circuits and is in need of a service upgrade.

When an object standing on the floor is tipped, the height of its center of gravity (cg) may or may not change. Classify each case as stable, unstable, or neutral

Answers

The three types of equilibrium in an object are;  stable, unstable, or neutral equilibrium.

What is equilibrium?

The term equilibrium refers to a situation in which all the forces acting on an object are balanced such that the object does not move. The question is incomplete as the images are missing.

There are three types of equilibrium:

Stable equilibrium: In a stable equilibrium, the object returns to rest in its original place when displlaced.Unstable equilibrium: In this type of equilibrium, the body moves further away from its original position when displaced.Neutral equilibrium: In this type of equilibrium, the object comes to rest in a new position when displaced.

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When an object standing on the floor is tipped, the height of its center of gravity (cg) for each case as stable, unstable, or neutral may increase, decreased and remain same respectively.

What is the equilibrium state of a standing object?

Equilibrium is the location of the body, in which the body be static or in motion and does not change it with respect to time.

The equilibrium of an object can be classified in the 3 following types.

Stable Equilibrium- Stable equilibrium is the condition, in which the object gains its position back after displacing it.Unstable Equilibrium-Unstable equilibrium is the condition, in which the object does not gain its position back after displacing it.Neutral Equilibrium-Natural equilibrium is the condition, in which the object displace from its position and there is no force acting on it.

When an object standing on the floor is tipped, the height of its center of gravity (cg) may or may not change.

The stability of object demands in the center of gravity. Lower the value of CG, results in more stable object. For each case,

Stable-Center of gravity is increased when tipped.Unstable-Center of gravity is decreased when tipped.Natural-Center of gravity is remained at same level when tipped.

Thus, when an object standing on the floor is tipped, the height of its center of gravity (cg) for each case as stable, unstable, or neutral may increase, decreased and remain same respectively.

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how can you say metre cube is a derived unit​

Answers

Answer:

The newton (lowercase n!) is a derived unit because its definition consists of multiplication of three defined base units and nothing else. Its meaning is thus derived, not independently defined.

What is the 3rd largest planet in the solar system?

Answers

Answer:

Uranus

Explanation:

Your welcome

A planet is a celestial body. The third-largest planet in the solar system is Uranus.

What is a planet?

A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.

A planet is a celestial body. The third-largest planet in the solar system is Uranus.

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Collette is twisting a screwdriver. The scredriver has a handle with a radius of 18 mm. If she is exerting a force of 14 N, how much torque is she causing? PLEASE HELPPP!!!!

A. 25 Nm
B. 0.25 Nm
C. 1.3 Nm
D 0.75 Nm

Answers

Radius=18mm=1.8cm=0.018mForce=14N

Torque:-

[tex]\\ \rm\Rrightarrow \tau =14(0.018)[/tex]

[tex]\\ \rm\Rrightarrow \tau=0.25Nm[/tex]

option B

Suppose that a simple pendulum consists of a small 60.0 g bob at the end of a cord of negligible mass. If the angle 0 between the cord and the vertical is given by g - (0.0800 rad) cos[(4.43 rad/s) t 0], what are (u) the pendulum's length and (b) its maximum kinetic energy

Answers

Based on the mass of the bob and the angle between the cord and the vertical, the pendulum length is 0.50m.

The maximum kinetic energy can be found to be 9.42 x 10⁻⁴J.

What is the pendulum length?

This can be found as:

= g-force / w²

Solving gives:

= 9.8 / 4.43²

= 0.4998 m

= 0.50 m

What is the maximum kinetic energy?

This can be found as:

= 0.5 × m × w² × A²

Maximum kinetic energy is:

= 0.5 × 60 × 10⁻³ × (4.43 × 0.4998 x 0.08 rad)²

= 9.42 x 10⁻⁴J

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Please help asap its for anatomy

explain the basic mechanical process through which micturition occurs, including an explanation of why someone might not be able to "hold it in" any longer if they wait too long to urinate and why it might be harder for older people to hold their urine for a long time

Answers

The smooth muscle in the wall of the bladder when stretched triggers the micturition reflex (urination).

What is a Bladder?

This is defined as a lined layers of muscle tissue that stretch to hold urine in organisms.

In older people the elasticity of the bladder is reduced which is why it makes it harder for them to hold urine for a long time.

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Hello people ~
Sound cannot travel through
(a) air
(b) water
(c) air
(d) vacuum​

Answers

Answer:

Vaccum

Explanation:

Sound travels through the particles of different matter In vaccum there is no air so no matter and so no particles .So sound can't travel through vaccum.

You can test it .

Take a speaker and keep it inside a bottle ,close it .You won't hear any sound

How much energy does a pair of hair straighteners transfer every second

Answers

Answer:

It depends...

Explanation:

If you know how much watts the pair of hair straighteners use, you can use that as the energy every second. A normal flat iron for hair would be 300 watts, so we could say that it uses 300 jolts or watts of energy per second.

A 80kg astronaut is training in human centrifuge to prepare for a launch. The astronaut uses the centrifuge to practice having a 3.16g force (3.16 times his own weight) on his back. The radius is 12m.
Attached is a picture of the question.

Answers

The answers on the model of the human centrifuge ready for the launch to each question of the statement are listed below:

a) A force of 2479.210 newtons is acting on the astronaut's back.

b) A net centripetal force of 2479.210 newtons is acting on the astronaut.

c) The centripetal acceleration of the astronaut is 30.990 meters per square second.

d) The astronaut has a linear speed of approximately 19.284 meters per second.

e) The angular speed of the astronaut is 1.607 radians per second (15.346 revolutions per minute).

How to apply Newton's laws to analyze a process in a human centrifuge training

The human centrifuge experiments a centripetal acceleration when it reaches a peak angular speed. In this question we must apply Newton's laws of motion and concepts of centripete and centrifugal forces to answer the questions. Now we proceed to answer the questions:

How much force is acting on the astronaut's back?

By the third Newton's law the astronaut experiments a rection force (F), in newtons, which has the same magnitude to centrifugal force but opposed to that force. The magnitude of the force acting on the back of the astronaut is equal to:

[tex]F = 3.16\cdot (80\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 2479.210\,N[/tex]

A force of 2479.210 newtons is acting on the astronaut's back. [tex]\blacksquare[/tex]

What is the net centripetal force on the astronaut?

By the second and third Newton's laws we know that the net centripetal force on the astronaut is equal to the magnitude of the force found in the previous question. Thus, a net centripetal force of 2479.210 newtons is acting on the astronaut. [tex]\blacksquare[/tex]

What is the astronaut's centripetal acceleration?

The centripetal acceleration of the astronaut (a), in meters per square second, is found by dividing the result of the previous question by the mass of the astronaut (m), in kilograms:

[tex]a = \frac{F}{m}[/tex]   (1)

If we know that F = 2479.210 newtons and m = 80 kilograms, then the centripetal acceleration of the astronaut is:

[tex]a = \frac{2479.210\,N}{80\,kg}[/tex]

[tex]a = 30.990\,\frac{m}{s^{2}}[/tex]

The centripetal acceleration of the astronaut is 30.990 meters per square second. [tex]\blacksquare[/tex]

What is the astronaut's linear speed?

By definition of uniform circular motion, we have the following formula for the linear velocity of the astronaut (v):

[tex]v = \sqrt{a\cdot r}[/tex]   (1)

Where r is the radius of the human centrifuge, in meters.

If we know that [tex]a = 30.990\,\frac{m}{s^{2}}[/tex] and [tex]r = 12\,m[/tex], then linear velocity of the astronaut is:

[tex]v = \sqrt{\left(30.990\,\frac{m}{s^{2}} \right)\cdot (12\,m)}[/tex]

v ≈ 19.284 m/s

The astronaut has a linear speed of approximately 19.284 meters per second. [tex]\blacksquare[/tex]

What is the astronaut's angular speed?

The angular speed of the astronaut (ω), in radians per second, is found by the following kinematic relationship:

[tex]\omega = \frac{v}{R}[/tex]   (1)

If we know that v ≈ 19.284 m/s and R = 12 m, then the angular speed is:

[tex]\omega = \frac{19.284\,\frac{m}{s} }{12\,m}[/tex]

ω = 1.607 rad/s (15.346 rev/m)

The angular speed of the astronaut is 1.607 radians per second (15.346 revolutions per minute). [tex]\blacksquare[/tex]

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(please answer) It is better to jump on a smooth, flat surface than on thick carpeting.

Question 5 options:
True
False

Answers

I believe the answer to your question would be True

I think it would have to be true.

When using a different calorimeter, and mixing 50 ml of hot water at 65 degrees c with 60 ml of water in the calorimete

Answers

The specific heat capacity of the calorimeter used in mixing the water is determined as 21.87 J/g⁰C.

Conseervation of energy

The heat capacity of the calirometer is determined by applying the principle of conservation of energy.

Heat lost by the hot water = Heat gained by the calirometer

[tex]Q _w = Q_c\\\\M_w C_w\Delta \theta _w = M_c C_c\Delta \theta _c[/tex]

where;

M is mass

mass = density x volume = ρV

Density of water = 1 g/ml

Mass of hot water = 1 x (50) = 50 g

Mass of water in calorimeter = 1 x (60) = 60 g

Equilibrium temperature

[tex]\Delta T_c = 5.5\\\\T - 25 = 5.5\\\\T = 30.5 \ ^0C[/tex]

Specific heat capacity of the calirometer

[tex]50 \times 4.184 \times (65 - 30.5) = 60 \times C_c \times (30.5 - 25)\\\\7217.4 = 330C_c\\\\C_c = \frac{7217.4}{330} \\\\C_c = 21.87 \ J/g^0C[/tex]

Thus, the specific heat capacity of the calorimeter used in mixing the water is determined as 21.87 J/g⁰C.

The complete question is below

When using a different calorimeter, and mixing 50 ml of hot water at

65 degrees C with 60 ml of water in the calorimeter at 25 degrees C, the temperature of the calorimeter increased by 5.5 degrees C.

a. Calculate the heat capacity of this calorimeter?

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Which of the following was correctly predicted by Einstein's theory of gravity?
(A) the origin of mass
(B) law of refraction
(C) the measure of G
(D) light deflected around large objects because of their gravity

Answers

Answer:

(D) light deflected around large objects because of their gravity

I hope this helps you

:)

Use F = 1/T as your basis:
7. What is the period of 60.0Hz electrical power?

The answer is 16.7 ms but please show your work.

Answers

Frequency=60Hz

[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\rightarrowtail T=\dfrac{1}{\nu}[/tex]

[tex]\\ \rm\rightarrowtail T=\dfrac{1}{60}[/tex]

[tex]\\ \rm\rightarrowtail T=1.67\times 10^{-4}s[/tex]

[tex]\\ \rm\rightarrowtail T=16.7\times 10^{-3}s[/tex]

[tex]\\ \rm\rightarrowtail T=16.7ms[/tex]

A car initially travels at 10 m/s when passing the "acceleration line". The car then accelerates Q. at 8m/s2 until reaching a final velocity of 40 m/s. What is the car's displacement during the acceleration?
answer choices
3.75 m
93.75 m
100 m
1590 m​

Answers

[tex]\text{Given that,}\\\\\text{Initial velocity,}~ u = 10 ~ms^{-1}\\\\\text{Final velocity,}~ v = 40 ~ ms^{-1}\\\\\text{Acceleration,}~ a = 8 ~ ms^{-2}\\ \\\text{Time ,}~ t =?\\\\\text{Displacement, }~ s = ?\\\\\text{We know that,}\\\\a= \dfrac{v-u}{t}\\ \\\implies t = \dfrac{v-u}{a} = \dfrac{40-10}{8} = \dfrac{30}{8} = 3.75 ~sec \\\\s=\left(\dfrac{u+v}2\right)t=\left(\dfrac{10+40}2 \right)3.75 = \left(\dfrac{50}{2}\right)3.75 = 25 \times 3.75 = 93.75~m[/tex]

[tex]\text{Hence, the displacement of the car is 93.75 m}[/tex]

The vertebral region is _________ to the scapular region.

Answers

Answer:

The answer is medial!

Explanation:

The vertebral region is medial to the scapula.

Hope This Helps!

-Justin:)

A man pushes a 8 kg object. A distance of 5. 0 m upward along a frictionless slope that makes an angle of 30° with the horizontal. His force is parallel to the slope. If the speed of the object decreases at a rate of 1. 5 m/s, then the work done by the man is:​

Answers

Answer:

is 200 J

Explanation:

hope this is the right answer

easy one here pls help thanks so much

Answers

The answer is B. Nutrients.
the answer is B. Nutrients
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