a spring with spring constant 50 n/m is suspended from the ceiling with a 2.0 kg wood block hanging from the bottom. when a 10 g bullet is fired vertically upward into the block, stopping inside, the block begins to oscillate with its highest point 45 cm above its initial level. what was the speed of the bullet?

Answers

Answer 1

After being fired vertically upward into the block at a speed of 403.4 m/s, a 10 g bullet stops inside the block and the block starts to oscillate, with its highest point rising 45 cm above the beginning level.

Calculation:

Mu+0=(m+M)V

V=mu/m+M= velocity of system after collision

1/2(m+M)V² = 1/2kx²

(m+M)*m²u²/(m+M)² = kx²

u²=(2+10^-2)*40*0.45^2

u=√16.28 *10²

u=403.4  m/s

Speed is the rate of movement along a path, whereas velocity is the speed and direction of an object's motion. In other words, speed is a scalar value, but velocity is a vector. Velocity has magnitude and direction because it is a vector quantity. The distance (d) traveled over the change in time is the definition of speed (t).

Speed is a unit of measurement for how swiftly a body moves. The rate at which an object's location changes in any direction is referred to as speed. The distance traveled divided by the trip time is how speed is calculated.

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Related Questions

a 64 l gas tank is filled completely is 15 degree celsius how much gasoline overflows into can get up to 35 degree celsius while the car is parked in direct sunlight​

Answers

Answer:

Volume of gasoline overflow(v)= 40/9 L (I.e. 4.44 L)

Explanation:

Use v1/T1=v2/T2

.....overflow(V)=v2-v1

Note; Take temperature in absolute scale or kelvin scale

The overflow volume of the gas is required.

The overflow volume is 4.44 L.

[tex]V_1[/tex] = Initial volume = 64 L

[tex]T_1[/tex] = Initial temperature = [tex]15+273.15=288.15\ \text{K}[/tex]

[tex]V_2[/tex] = Final volume

[tex]T_2[/tex] = Final temperature = [tex]35+273.15=308.15\ \text{K}[/tex]

From the gas laws we have the relation

[tex]\dfrac{V_2}{V_1}=\dfrac{T_2}{T_1}\\\Rightarrow V_2=\dfrac{T_2}{T_1}V_1\\\Rightarrow V_2=\dfrac{308.15}{288.15}\times 64\\\Rightarrow V_2=68.44\ \text{L}[/tex]

Overflow volume

[tex]\Delta V=V_2-V_1=68.44-64\\\Rightarrow \Delta V=4.44\ \text{L}[/tex]

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A toy gun uses a spring to shoot plastic balls (m = 50 g). The spring is compressed by 3.0 cm. Let k=2.22 × 105 N/m. (a) Of course, you have to do some work on the gun to arm it. How much work do you have to do? (b) Suppose you fire the gun horizontally. How fast does the ball leave the gun? (c) Now suppose you fire the gun straight upwards. How high does the ball go?

Answers

Answer:

Explanation:

Given that:

mass of the plastic ball = 50 g = 50 × 10⁻³ kg

spring constant (k) = 2.22 × 10⁵ N/m

compression of spring (x) = 3.0 cm = 3 × 10⁻² m

a) Work done:

[tex]= \dfrac{1}{2}kx^2 \\ \\ = \dfrac{1}{2}\times 2.22 \times 10^{5}\times (3 \times 10^{-2})^2 \\ \\ = 99.9 \ J[/tex]

b) When the gun is fired horizontally;

In the spring, the potential energy is changed to kinetic energy.

i.e.

[tex]\implies \dfrac{1}{2}kx^2 = \dfrac{1}{2}mv^2 \\ \\ 2.22 \times 10^5 \times (3\times 10^{-2}) ^2 =50 \times 10^{-3} \times v^2\\ \\ \mathbf{v= 63.2 m/s}[/tex]

c) The max height the bullet will reach if the gun is being shot upward is:

[tex]H_{max}= \dfrac{v^2}{2g} \\ \\ H_{max}= \dfrac{63.2^2}{2\times 9.8}[/tex]

[tex]\mathbf{H_{max}= 203.9 \ m}[/tex]

A series circuit has a combination of two resistors, one 7.25 ohm's and the other 4.50 ohm's.
They are connected to a 9-volt battery. What is the equivalent resistance of the circuit?

Answers

Answer:

11.75 ohms

Explanation:

since its series connection

R equivalent = R1 + R2 = 7.25 + 4.5

A 60 cm tall Siberian Huskey stands 3 m in front of a PLANE MIRROR and looks at its image. a) How tall is the image in the mirror? b) What is the characteristic of the image?

Answers

Explanation:

Given that,

Height of Siberian Huskey = 60 cm

Distance of Siberian Huskey and a plane mirror = 3 m

The characteristic of a plane mirror are as follows :

A plane mirror always forms a virtual image. The image and object are the same distance from the mirrorThe image size is the same as the object size.The image is upright.

(a) The height of the formed image = 3 m

(b) The formed image is virtual, upright and same size that of object.

Which one i need help

Answers

Answer:

C

Explanation:

If you had pulled the box with 300W of power, and did 900J of work, how long did it take to pull the box?

Answers

Answer: 3 seconds

Explanation:

The equation for Power is  P=W/tΔ

P= Power(W)

W= Work(J)

t= change in time

So for this equation we have 300=900/t where we need to solve for t which we can do by using algebra

300=900/t

t=900/300

t=3

so t= 3 seconds (s)

You observed the wheels of a car as it moves past you from right to left. Do the wheels have a positive or negative angular velocity?

Answers

Answer:

Negative angular velocity

Explanation:

The movement/rotation  of An object in a clockwise direction ( right to left direction)  corresponds to a Negative angular velocity . while the rotation of an object in an anti-clockwise direction ( left to right direction ) possess  a positive angular velocity.

Hence the movement of the wheels of the car past you from right to left will possess a Negative angular velocity

A marble has a volume of 1 mL. How much water will it displace in a graduated cyclinder
A.
1 mm
B.
more than 1 mL
C.
less than 1 mL
D.
1mL

Answers

the answer is D. 1mL

QUESTION
Energy can only be used in it's original
form.
false
true

Answers

Answer:

False

Explanation:

Energy keeps on converting from one form to another and it is useful in each of its forms.

For instance, the kinetic energy get converts into potential energy, mechanical energy of motor converts into electrical energy, sound energy (phone) converts into electrical energy etc. but in all these forms energy is useful in one or the other way.

Hence, the given statement is false.

If the same force is applied to an object with a large mass it will have a blank acceleration

Answers

Answer:

If the same force is applied to an object with a large mass it will have a smaller (lesser) acceleration

Explanation:

force and mass are inversely proportional. force and acceleration are directly proportional. which means greater mass have smaller acceleration and smaller mass has greater acceleration. this is due to newtons second law of motion.

In the case when the same force is applied that contains high mass so it contains less acceleration.

Relationship of force and mass:

There should be an inverse relationship between the force and mass. However, there is the direct relationship between the force and acceleration. That means in the case when there is the high force so there should be less acceleration and less mass contains high acceleration by applying the second law of motion of newton.

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According to the graph, at which time during a sunny summer day are the
particles in a swimming pool likely to be moving the most quickly?
A. 6:00 p.m.
B. 11:00 p.m.
C. 5:00 a.m.
D. 8:00 a.m.

Answers

6:00 pm your welcome

Answer: A 6:00 pm

Explanation: took the exam

takes 5 seconds and 2,000 J for a crane to lift a very heavy object. Which of these correctly describes power and energy for this action?

2,000 J of energy was converted into some other energy, requiring 10,000 W of power.
2,000 J of energy was converted into some other energy each second, requiring 400 W of power
2,000 J of power was converted into 400 W of energy.
2,000 J of power was converted into some other power every second, requiring 10,000 W of energy.

Answers

A crane takes 5 s and 2,000 J to lift an object. That is, 2,000 J of energy was converted into some other energy each second, requiring 400 W of power.

What is power?

In physics, power is the amount of energy transferred or converted per unit time.

A crane uses 2,000 J of energy (E) to perform work (W) is 5 s (t). Let's calculate the power used (P).

P = W / t = 2,000 J / 5 s = 400 W

Which of these correctly describes power and energy for this action?

2,000 J of energy was converted into some other energy, requiring 10,000 W of power. No, the required power was 400 W.2,000 J of energy was converted into some other energy each second, requiring 400 W of power. Yes.2,000 J of power was converted into 400 W of energy. No, energy cannot be converted into power.2,000 J of power was converted into some other power every second, requiring 10,000 W of energy. No, the required power was 400 W.

A crane takes 5 s and 2,000 J to lift an object. That is, 2,000 J of energy was converted into some other energy each second, requiring 400 W of power.

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someone please helppp :|||

Answers

Answer:

b

Explanation:

Answer:

its c

Explanation:

i have asked my teacher

TRUE OR FALSE IN CIRCUITS!!!!!!!

Answers

the answer is false ur welcome

Answer:

True

True

True

False

False

True

True

A 100-watt lightbulb uses 1 kilowatt-hour of electrical
energy when it is on for ten hours. How much energy does
a 25-watt lightbulb use when it is on for ten hours?

Answers

Answer:

Energy = 0.25 kilowatt-hour

Explanation:

Given the following data;

Power = 25 Watts

Time = 10 hours

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {Energy}{time} [/tex]

To find the energy consumed;

Energy = power * time

Substituting into the formula, we have;

Energy = 25 * 10

Energy = 250 Watt-hour

To convert to kilowatt-hour, we would divide by 1000;

Energy = 250/1000

Energy = 0.25 kilowatt-hour

Waves that move through space are called

Answers

Answer:

Electromagnetic waves are waves that can travel through matter or through empty space

how do you select the appropriate tools for caregiving rated task effectively?​

Answers

Answer:

Care giving tools like medical devices or any medical supplies which aid the effectiveness of care for the patient will help the quality of work of care giving. ... All of the care giving tool should also be efficient and effective

is there a photo or a passage for this question?

Definition: The energy transferred by a force to a moving object.

Answers

Answer:

Force applied

Explanation:

An object will remain at its state of rest unless a non zero for act on it

Thomas helps his older brothers, who own a junk yard, on the weekends to earn extra money. He likes to help them push broken-down cars to the back of the junk yard because it makes him feel strong. Last Saturday, they pushed three cars with different weights, and he noticed he used different amounts of force for each one. The cars were the following weights:white car: 2,700 poundsred car: 1,500 poundsblue car: 2,100 poundsThink about how much force is needed to move each car. Which correctly organizes the cars in order from the most to least amount of force needed to move them

Answers

Answer:

white, blue and red

Explanation:

Force is given by

[tex]F=ma[/tex]

where

m = Mass of object

a = Acceleration of the object

If the acceleration is same for all the cars the force needed to be applied will depend on the mass of the car. The heaviest car requiring the most force and the lightest car requiring the least amount of force.

Here, the weight of the cars in descending order is white, blue and red.

So, the cars in order from the most to least amount of force needed to move them is white, blue and red.

Activity
Launch the Wave on a String simulation again to investigate the relationship between amplitude and damping force.
To begin:
• Select Oscillate and No End.
• Set Amplitude to 1.00 cm and Frequency to 1.00 Hz,
• Set Damping to None and Tension to low.
• Select Rulers to measure the amplitude of the waves.
For each measurement described below, pause the wave when the oscillator arm is at or just past its maximum
Part A
You can see that each wave has a crest and a trough. Measure the amplitude at the first crest to the center of the ball and record your reading in
the table below. Record amplitude measurements for every subsequent trough and crest, as identified in the table.
Finally, vary the Damping as indicated in the table and record your amplitude readings again for each different damping value to complete the
table. Each division is 5 units of dampening force, where None = 0, and Lots = 50.
illustration
Amplitude of Wave 1 E Amplitude of Wave 2 Amplitude of Wave 3
(crest)
(crest)
(crest)


Answers

your welcome LOL plz like

Explain why the "X" chromosome expresses more traits than the "y" chromosome.


Please answer :( I have a lot of homework to do today! If it’s good I’ll mark b. Links or st————-upidity will get reported! Please help:3

Answers

Explanation:

The X chromosome (females have 2 of them while males have 1) is five times larger than the Y chromosome and has 10 times the number of genes.

PLS HELP ME
Secondary waves CANNOT travel through
a.
rock.
b.
liquids.
c.
Earth’s mantle.
d.
Earth’s crust.

Answers

Answer:

B. Liquids

Explanation:

Just had this question on my test.

Hope this helps :)

B.liquids
I think.......

Which of these statements are true about hydroelectric power? A.It is the most widely used renewable energy source in the world. B.It never disrupts ecosystems. C.It is not always available. D.A hydroelectric dam controls the force of moving water to generate electricity.

Answers

D is the answer most true


Which would use more energy, a 50-watt bulb or a 75-watt
bulb left on for the same amount of time?

Answers

Answer: 75-watt bulb

(b) The refractive index of the glass of the prism is 1.49. The ray EF is refracted at F. Use
information from Fig. 6.1 to calculate the angle of refraction at F.
IL
angle of refraction
[3]​

Answers

see in link below. ok bye my friend

Ways that waves may interact with matter include

Answers

Answer:

Three ways that waves may interact with matter are reflection, refraction, and diffraction. Reflection occurs when waves bounce back from a surface that they cannot pass through.

Which class lever is called force multiplier and why?​

Answers

Answer:5

Explanation:

Question:

Which class lever is called force multiplier and why?​

Answer:

Lever of second type (or class II)

Explanation:

Lever of second type (or class II) is used as a force multiplier. In second class lever, the effort arm is always longer than the load arm and so its mechanical advantage is always greater than 1. So this lever acts as a force multiplier i.e., by applying a less effort, large load is lifted.

How do officers in this line of work need to use problem solving and critical thinking to do their jobs?

Answers

Answer:

by using problem solving skills they could solve who,what,where did the crime oriented. and using critical thinking is good for you to get the job done!

Explanation:

I'm in forensic science :)

Isaac Newton mathematically derived _________ 3 laws. A- Aristotle's B- Kepler C- Copernicus's D- Galileo's

Answers

Answer:

derive Kepler's third law.

Explanation:

In this exercise you are asked to complete the sentence.

Kepler's third law states that the period squared is equal to the radius cubed of the orbit of the planets, multiplied by a constant.

Newton using the law of motion was able to mathematically derive Kepler's third law.

Does the eruption from a volcano represent force

Answers

Answer:

Yes, because of the force of gas exploding the volcano from pressure is a force.

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