Free Fall Problems
1.)
A pencil is dropped from the top of a very tall bridge and hits the ground 3.2 s later
A) With what velocity did the pencil hit the river below?
B.)
How far did the pencil fall?||

Answers

Answer 1

Answer:

50.2m

Explanation:

Given parameters:

Time taken for the pencil to hit the ground  = 3.2s

Unknown:

Final velocity = ?

height of fall  = ?

Solution:

To solve this problem, we should apply appropriate motion equations;

A.

        V = U  + gt

V is the final velocity

U is the initial velocity

g is the acceleration due to gravity

t is the time taken

  Insert the parameters and solve;

        V = 0 + 9.8 x 3.2  = 31.36m/s

B.

             h = ut  + [tex]\frac{1}{2}[/tex]gt²

   h is the height of fall

 

 Insert the parameters and solve;

           h =  [tex]\frac{1}{2}[/tex] x 9.8 x 3.2²  = 50.2m


Related Questions

A crate is being pushed with a force of 75 N, if the resulting acceleration of the crate is 3 m/s? what is the
mass of the crate?

Answers

Answer:

The answer is 15 kg

Explanation:

The mass of the crate can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{75}{3} \\ [/tex]

We have the final answer as

15 kg

Hope this helps you

An object is moving to the left. In which direction would a force need to be exerted to make this object slow down?

Answers

Answer:

left

Explanation:

When a force is applied in the opposite direction of motion, it opposes the motion of the object, causing its speed to decrease.

What is force?

A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate.

Intuitively, force can be described as a push or a pull. A force is basically a vector quantity as it has both magnitude and direction.

The term "force" has a specific meaning in science. At this level, it is perfectly acceptable to refer to a force as a push or a pull.

Another object applies a force to another. The concept of a force is not restricted to living or non-living things.

To slow a moving object, apply force in the opposite direction to the direction of motion.

Thus, the force should be applied from left to slow down the object.

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You are writing a story on a table. What physical properties would you want your table to have?

Answers

Answer:The Table should be smooth, hard, and large

Explanation:

Tell me a model that scientist have revised? Explain how it was changed.

Answers

An example can be any kind of yew technology. Provide information and how it was changed from any older sort.

If a car moves with a constant acceleration, can you conclude that there are no forces acting on it?

Answers

There are forces acting on it

If the coefficient of sliding friction between a 25 kg crate and the floor is 0.45, how much force is required to move the crate at a constant velocity across the floor?

Answers

At constant velocity, the crate would be in equilibrium, so that Newton's second law tells us

p + (-f ) = 0

where p and f denote the magnitudes of the added pushing force and friction force, respectively.

The friction force is proportional to the normal force by a factor of µ, the coefficient of friction. There's no vertical movement going on, so Newton's second law says

n + (-w) = 0

where n and w are the magnitude of the normal force and the weight of the crate, respectively.

Compute n :

n = w = (25 kg) (9.80 m/s²) = 245 N

Use this and µ = 0.45 to compute f :

f = µ n = 0.45 (245 N) = 110.25 N

Solve for p :

p + (-110.25 N) = 0

p = 110.25 N ≈ 110 N

The force i.e required to move the crate at a constant velocity across the floor is 110 N.

At the same velocity, the crate should be in equilibrium, so as per Newton's second law, the following formula should be used:

p + (-f ) = 0

p means the magnitudes of the added pushing force

f means the friction force

Calculation of the force:

n = w = (25 kg) (9.80 m/s²) = 245 N

Now

force should be

= µ n

= 0.45 (245 N)

= 110.25 N

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How does the sun works

Answers

Answer:

The sun works by nuclear fission, because there is so much pressure, it makes it vErY hOt. ( About 10,340 degrees Fahrenheit to be exact, or 5,726 degrees Celsius* )

Explanation:

Hope this helps! <3

Discuss the significance of the Tropic of Cancer, the Equator, and the
Tropic of Capricorn as they relate to the seasons.

Answers

Answer:

im a capricorn may i?

Explanation:

A pitcher throws a baseball horizontally with a speed of 42 m/s. If the pitcher throws the baseball from a height of 1.25 meters, what is the resultant velocity of the ball right before it hits the ground? Include direction (angle).

Answers

Answer:

v = 42.28 m/s

Explanation:

It is given that,

The horizontal speed of a baseball, [tex]u_x=42\ m/s[/tex]

The pitcher throws the baseball from a height of 1.25 meters, h = 1.25 m

Firstly finding t i.e. the stone takes to reach the ground. Using second equation of motion as follows :

[tex]d=ut+\dfrac{1}{2}at^2[/tex]

a = -g and u = 0

[tex]d=-\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{-2d}{g}} \\\\t=\sqrt{\dfrac{-2\times 1.25}{9.8}} \\\\t=0.5\ s[/tex]

Vertical component of the velocity is :

[tex]v_y=gt\\\\v_y=9.8\times 0.5\\\\v_y=4.9\ m/s[/tex]

Resultant velocity,

[tex]v=\sqrt{v_x^2+v_y^2} \\\\v=\sqrt{42^2+4.9^2} \\\\v=42.28\ m/s[/tex]

So, the resultant velocity of the ball before it hits the ground is 42.28 m/s.

Answer:

42.28 m/s

Explanation:

While hiking in the mountains, you see a mountain lion. If you were to react as the Cannon–Bard theory of emotions proposes, which sequence of events would characterize your response? Group of answer choices You would experience physiological changes and a feeling of fear simultaneously. You would feel fear followed by physiological changes. You would experience physiological changes followed by fear. You would experience physiological changes and context appraisal followed by fear

Answers

Answer:

You would experience physiological changes and a feeling of fear simultaneously.

Explanation:

Cannon–Bard theory of emotions can as well be regarded as Thalamic theory of emotion, whenever the body experience a stimuli, a message will be sent to the brain by the Thalamus then there will be emotions as a result of this a physiological reaction such as trembling, sweating and others would follows. The theory stressed that physical reaction doesn't depends on emotional reaction.

In the case of hiking in the mountains, and one see a mountain lion. If one were to react as the Cannon–Bard theory of emotions proposes, the sequence of events that would characterize One's response is one would experience physiological changes and a feeling of fear, because a message is send to the brain by the Thalamus, then emotion set in and physiological reaction, which explains Cannon–Bard theory.

On release 1, a student releases a cart from the top of a ramp, such that the cart travels 190cm before hitting the stopper. The cart increases speed steadily and reaches the bottom of the ramp in 4.00s. What was the magnitude of the cart's acceleration on release 1?

Answers

Answer:

0.2375m/s²

Explanation:

Given

S = 190cm = 1.9m

initial velocity u = 0m/s

Time t = 4.00s

Required

acceleration

Using the equation of motion

S = ut + 1/2at²

Substitute

1.9 = 0+1/2a(4)²

1.9 = 8a

a = 1.9/8

a = 0.2375m/s²

The magnitude of the cart's acceleration is 0.2375m/s²

a sample o aluminum is put in 10.5 mL of water. if the water rises to 13.5 mL when the aluminum is added, what is the density of the aluminum if it has a mass of 8.1 g

Answers

Answer:

The answer is 2.7 g/mL

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\ [/tex]

volume = final volume of water - initial volume of water

volume = 13.5 - 10.5 = 3 mL

From the question we have

[tex]density = \frac{8.1}{3} \\ [/tex]

We have the final answer as

2.7 g/mL

Hope this helps you

Is the moon accelerating?

Answers

Answer:

The Earth's gravity keeps the Moon orbiting us. ... This means gravity makes the Moon accelerate all the time, even though its speed remains constant.

Yes it is always accelerating due to gravity

Science is the study of the natural world through blank and blank

Answers

Answer:

biology. hope this helps

Michael is training to join the Army and runs to the left with a constant
velocity of 2 m/s. If he starts at Om, what is his position after 5 seconds?
Don't forget units and directions if appropriate.
Your answer

Answers

Answer:

[tex]10 \: m.[/tex]

Explanation:

[tex]his \: position \:is \: his \: distance \: from \: the \: \\ point \: of \: motion \: and \: is \: given \: by : \\ v = \frac{s}{t} \\ s = vt =2 \times 5 \\ s = 10 \: m.[/tex]

An elephant walks due east for a distance of 7.9 km, turns around and then goes due west for 1.9 km, and finally turns around again and heads 3.6 km due east. What is the displacement traveled by the elephant in meters?

Answers

Answer:

The displacement traveled by the elephant is 9600 east

Explanation:

Displacement is defined as an object's change in position which is given by the difference between final and initial location of the object

The displacement of the elephant are, taking east as positive direction of motion;

1) 7.9 km east = + 7.9 km

2) 1.9 km west = -1.9 km

3) 3.6 km east = 3.6 km

The net (sum) displacement of the elephant, ∑Δx is given as follows;

∑Δx = 7.9 km - 1.6 km + 3.6 km = 9.6 km

Given that the sum of the displacement is positive and that 9.6 km = 9600 m, we have;

The displacement traveled by the elephant = ∑Δx =  9600 east.

A student kicks a football vertically upwards, causing the football to reach a maximum height of 40.0m before falling back to the ground. Determine all unknowns and answer the following questions. Neglect drag and the initial height and horizontal motion of the football.
A) With what speed was the football kicked?
B) What was the football's total flight time?

Answers

Answer:

A. 28 m/s

B. 5.72 s

Explanation:

The following data were obtained from the question:

Maximum height (h) = 40 m

Acceleration due to gravity (g) = 9.8 m/s²

A. Determination of the initial velocity.

Maximum height (h) = 40 m

Acceleration due to gravity (g) = 9.8 m/s²

Velocity at maximum height (v) = 0 m/s

Initial velocity (u) =.?

v² = u² – 2gh (Ball is going against gravity)

0² = u² – (2 × 9.8 × 40)

0 = u² – 784

Collect like terms

0 + 784 = u²

784 = u²

Take the square root of both side

u = √784

u = 28 m/s

Thus, the ball was kicked with a velocity of 28 m/s

B. Determination of the time of flight.

We'll begin by calculating the time taken to reach the maximum height. This can be obtained as follow:

Velocity at maximum height (v) = 0 m/s

Initial velocity (u) = 28 m/s

Time taken to reach the maximum height (t) =?

v = u – gt (Ball is going against gravity)

0 = 28 – 9.8t

Rearrange

0 + 9.8t = 28

9.8t = 28

Divide both side by 9.8

t = 28/9.8

t = 2.86 s

Finally, we shall determine the the time of flight as follow:

Time taken to reach the maximum height (t) = 2.86 s

Time of flight (T) =?

T = 2t

T = 2 × 2.86

T = 5.72 s

Therefore, the time of flight for the ball is 5.72 s

What is the difference between EMS waves and mechanical waves? Select all that apply. * Mechanical wave require a medium to travel on. EMS waves do NOT require a medium to travel on. EMS waves do NOT require a medium to travel on but, they can use a medium to travel on.

Answers

Answer:

EMS waves require no material medium to travel

Explanation:

Here, we want to consider the difference between mechanical waves and EMS waves

When we talk of EMS waves, we mean electromagnetic radiation waves .

Example of EMS waves include radio waves , x-rays etc

These kind of waves require no material medium to travel and this is the main difference they have with mechanical waves

PLEASE HELP!! ILL MARK BRAINLYEST!!

The Law of Conservation of Matter is a basic principle in studying chemical reactions.


True
False

Answers

Answer:it is false

Explanation:

If the deflection of a spring is doubled, then how much does the force change?

Answers

Answer:

The force is doubled as well.

Explanation:

If you double the spring then the force doubles as well.

If the deflection of the spring is doubled, the force exerted by the spring will also be doubled.

What is the Hooke's Law?

The relationship between the deflection of a spring and the force it exerts is described by Hooke's Law, which states that the force exerted by a spring is directly proportional to its deflection. Mathematically, this can be expressed as:

F = kx

where F is the force exerted by the spring, x is the deflection of the spring, and k is the spring constant, which represents the stiffness of the spring.

If we double the deflection of the spring, then x becomes 2x, and the force exerted by the spring becomes:

F = k(2x) = 2kx

Thus, if the deflection of the spring is doubled, the force exerted by the spring will also be doubled (assuming the spring constant remains constant).

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Newton's First Law of
Motion

Answers

Answer:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force

Answer:

An object in motion will stay in motion unless acted on by an unbalanced force.

An object at rest will stay at rest unless acted on by an unbalanced force.

An object in motion will stay in motion, and an object at rest will stay at rest unless acted on by an unbalanced force

(There are three parts to Newton’s First Law of Motion)

4 facts about light waves

Answers

ray of light travels very fast. The speed of light in space is approximately 300 million metres per second. Light is a kind of energy that can move in waves and it is made up of a flow of small particles of energy called photons. A ray of light travels very fast.

we know we have exerted a force even when we have no work done​

Answers

This is a true statement......

What shape must you make with a wire in a circut to have that current generate a magnetic field that is identical to the magnetic field produced by a normal bar magnet?
a
A straight line
b
An oval
c
A square
d
A coil

Answers

Answer:

The correct option is;

d. A coil

Explanation:

When a wire, which is an electric conductor is formed into the shape of a coil, and current is allowed to flow through the wire coil, a magnetic field is generated

The magnetic field generated by the electromagnetic coil has direction that consists of flux emanating from one end of the coil and entering the coil from the other end, similar to that of the magnetic field produced by a normal bar magnet.

Answer:

The maximum speed an object can fall in the presence of air resistance

Newton's third law

A coil

help pls ill give points​

Answers

Answer:

The answer Is erosion!

Hope you do Great!

Explanation:

Answer:

weathering

Explanation:

How many peanut butter cups does Benny have if he has 2 times as many as Karen. Karen has 80 peanut butter cups.

Answers

Answer:

160 peanut butter cups

Explanation:

80 * 2 = 160

Answer:

160

Explanation:

if benny has 2x more than karen and karen has 80 you would multiply 80 by 2 to get 160. therefore benny has 160. hope that helps

what are these things called​

Answers

Wavelength and crest

Hope I helped

PLEASE HELP ME!


Which statement about nuclear reactions is NOT true?
a.
Nuclear power plants use fission of uranium.
b.
In fission, the total mass of the reactants equals the total mass of the products.
c.
In fission, nuclei are split, and in fusion, nuclei are combined.
d.
Energy as heat and light in the sun are generated by hydrogen fusion reactions.

Answers

Answer:

b.  In fission, the total mass of the reactants equals the total mass of the products.

Explanation:

In a nuclear reaction, the total mass of the reactants does not equal to the total mass of the products.

This is because mass is converted to energy in a nuclear reaction.

It is true that nuclear power plants use fission. Uranium is the fuel in most reactors used to generate electricity. During nuclear fission, an unstable nucleus is split and in fusion, atoms are combined together. Heat and light is produced in the sun which are generated by hydrogen fusion reactions.

does anybody know?? Please help

Answers

Step 1;
Resolve or break the motion into horizontal and vertical components along the x- and y- axes.

Step 2;
Treat the motion as two independent one-dimensional motions, one horizontal and the other vertical

Step 3;
Solve for the unknowns in two separate motions—one horizontal and one vertical

Step 4; Recombine the two motions to find the total displacements and velocity v.

El elevador hidráulico de un garaje funciona mediante una prensa hidráulica conectada a una toma de agua de la red urbana que llega a la máquina con una presión de 5x10 5 N/m 2 . Si el radio del émbolo es de 20 cm y el rendimiento es de un 90% ¿Cuál es el valor en toneladas de la carga que como máximo puede levantar el elevador.

Answers

Answer:

El elevador puede levantar 5.76 toneladas de carga máxima.

Explanation:

De acuerdo a la ley de Pascal:

[tex] p_{1} = p_{2} [/tex]          

[tex] \frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}} [/tex]   (1)

En donde:

F: es la fuerza

P: es la presión

A: es el área

Sabiend que p₁ = 5x10⁵ N/m², tenemos que F₂ es:                              

[tex] F_{2} = p_{1}A_{2} [/tex]       (2)

El área del embolo viene dada por el área de una circunferencia:  

[tex] A_{2} = \pi r^{2} [/tex]    (3)

Introduciendo la ecuación (3) en la ecuación (2) tenemos:

[tex] F_{2} = p_{1}\pi r^{2} = 5 \cdot 10^{5} N/m^{2} \pi (0.20 m)^{2} = 62832 N [/tex]

Dado que el rendimiento es del 90%, la fuerza máxima es:

[tex] F_{2} = 62832 N*0.90 = 56549 N [/tex]

Ahora sabemos que la fuerza del elevador para levantar la carga máxima  es 56549 N y para encontrar el valor de toneladas de la carga máxima que puede levantar el elevador, debemos encontar la fuerza necesaria para levantar 1 tonelada:          

[tex] F = mg = 1000 kg*9.81 m/s^{2} = 9810 N [/tex]  

Finalmente, si para levantar 1 tonelada se debe aplicar una fuerza de 9810 N, y la fuerza total es igual a 56549 N, el numero de toneladas que puede levantar el elevador es:      

[tex] N = \frac{F_{2}* 1 ton}{F} = \frac{56549 N* 1 ton}{9810 N} = 5.76 ton [/tex]

Por lo tanto, el elevador puede levantar 5.76 toneladas de carga máxima.

Espero que te sea de utilidad!

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Does Olaudah Equiano ever lie? 1. How do these charts, graphs and images help to give a visual representation of the virus? A boat leaves the marina and sails 13 miles northeast, then 12 miles east. In what direction must the boat sail to head directly back to the marina?a. 66.55 W of S b. 23.45 W of S c. 45.00 E of N d. 66.55 E of N Which colonial act declared that only the General Assembly had the right to levy taxes in Virginia?The Articles of ConfederationThe Declaration of Rights and GrievancesThe Declaration of IndependenceThe Stamp Act Resolves Write an equation of the line that passes through (-1, 3) and has a slope of -4.A.y=-4x-1B y=-4x + 1C y=-x-4D y=-4x + 7 An atom of aluminum loses how many electrons when it forms ionic bonds with three atoms of fluorine?A. 1B. 2C. 3D. 4 which sentence uses a present tense verb Evaluate the following expression if w = 10, x = 8, y = 6, z = 43y - w Solve for x: 6x + 4x - 5 = 55 How does science help us understand Earths complex systems?A. By focusing only on humans, it helps us understand how people are affected by Earths systems.B. By viewing the Earth as a single integrated system, it helps us understand how humanity and Earth are related, and how the systems workC. By viewing the Earth as many separate systems, it helps us understand how each system functions alone.D. By looking at other planets, it helps us understand their complex systems and how they are similar to ours. What are the two solutions of the equation x^2 10 = 90 ? Show work :) Ferns are often used around homes and businesses forA) landscaping B) natural weed killing C) Cleaning D) Repelling insects Draw diagrams illustrating the relationship between the following sets of real numbers: There is no answer you have to make a diagram (venn diagram) of the relationship between the number sets below. (a) rational and irrational numbers (b) rational numbers and integers (c) irrational numbers and whole numbers (d) integers and whole numbers what do I right in the first paragraph of an essay The area of a square patio is 196 square feet. How long is each side of the patio?Each side of the patio is ____ feet long. Jose enjoys biking every single day after he gets home from school. However, he lives in Florida and the summer season is approaching, which means rain almost every day at about 3 p.m., exactly when he would begin his bike rides. To modify his activity to avoid bad weather, he can A.bike more slowly to ensure safety on the wet roads B.bike at the gym on a stationary bike until the season passes C.start running in the afternoons instead of biking D. focus on making his bike rides shorter and faster PLEASE HELP ASAP!! -13=r/9+8 what does r=? A 1200 kg car accelerates at a rate of 3.97 m/s^2. What is the net force acting on the car? What was John Wilkes Booth responsible for doing?A. Making a plan for Southern states after the Civil WarB. Leading the Radical Republicans in CongressC. Killing President LincolnD. Starting the Freedmen's Bureau A ball is thrown into the air. The function h=10t-5t^2 can be used to find the height(h) of the ball in meters after t seconds. How long does it take for the ball to reach a height of 5 meters?