A ping pong ball rolls off a 5.Om high table and lands on the floor, 3.0m
away from the table. How long is the ball in the air?

Answers

Answer 1

Answer:

The ball was 1.01 seconds in the air

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

If we know the value of d and h, we can solve the equation for v:

[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]

Since the horizontal speed is constant, we can calculate the time the ball was in the air by using the equation:

[tex]\displaystyle t=\frac{d}{v}[/tex]

The ping pong ball rolls from a height of h=5 m and lands on the floor a distance of d= 3 m away from the table. Calculate the speed:

[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{2\cdot 5}}[/tex]

[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{10}}[/tex]

Calculating:

[tex]v=2.97\ m/s[/tex]

Now calculate the time:

[tex]\displaystyle t=\frac{3}{2.97}[/tex]

[tex]t=1.01\ sec[/tex]

The ball was 1.01 seconds in the air

Note: The time does not depend on the distance d at all. If we borrow the equation from free-fall motion, the time can be calculated with:

[tex]\displaystyle t=\sqrt{\frac {2h}{g}}=\sqrt{\frac {10}{9.8}}=1.01\ sec[/tex]


Related Questions

A train starts from rest. It acquires a speed of 25 m/s after
20 s. The total
distance is

Answers

Given parameters:

Initial speed of train  = 0m/s

Final speed  = 25m/s

time = 20s

Unknown:

Total distance covered  = ?

Solution:

Speed is a scalar quantity that has magnitude and no direction.

Mathematically;

     Speed  = [tex]\frac{distance}{time}[/tex]

  distance  = speed x time

 Input the parameters and solve for distance;

    Distance  = 25 x 20 = 500m

The distance covered is 500m

An escaped convict runs 1.70 km due East of the prison. He then runs due North to a friend's house. If the magnitude of the convict's total displacement vector is 2.50 km, what is the direction of his total displacement vector with respect to due East?

Answers

Answer:

The right approach will be "47° north of east".

Explanation:

The given values are:

East of prison

= 1.70 km

Displacement vector

= 2.50 km

Now,

The direction will be:

⇒  [tex]Cos \ \theta =\frac{1.7}{2.5}[/tex]

⇒            [tex]=0.68[/tex]

⇒         [tex]\theta=47.16^{\circ}[/tex]

i,e.,       [tex]\theta = 47^{\circ}[/tex] (north of east)

The direction of his total displacement vector with respect to due East is 1.83km

Resultant vector

Given the following parameters

Distance ran through east = 1.70km

displacement = 2.50km

Required

Total displacement vector with respect to due north

Using the expression below;

d = √x² + y²

2.5² = 1.7² + y²

y² = 2.5² -  1.7²

y² = 3.36

y = 1.83km

Hence the direction of his total displacement vector with respect to due East is 1.83km

Learn more on resultant vector here: https://brainly.com/question/19802988


Mark is pushing a box down the hall. Mark is using 5N to push the box 20m. How much work is Mark doing?

Answers

Answer:

The answer is 100 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question

force = 5N

distance = 20m

We have

workdone = 5 × 20

We have the final answer as

100 J

Hope this helps you

PLZZZ
suppose you increase the voltage in the coils of the solenoid of an electromagnet. what happens the the electromagnet?

A. its strength becomes less

B. its strength decreases then increases

C. its strength becomes greater

D. its strength remains the same

Answers

Answer:

Its strength becomes greater

Explanation:

Suppose you increase the voltage in the coils of the solenoid of an electromagnet. the electromagnet strength becomes greater. Hence option C is correct.

What is Electromagnet ?

An electromagnet is a type of magnet where an electric current creates the magnetic field. The wire that makes up an electromagnet is often twisted into a coil. A magnetic field is produced by a current flowing through the wire and is focused in the hole in the centre of the coil. When the current is cut off, the magnetic field vanishes. In order to create a stronger magnet, the turns of the wire are frequently twisted around a magnetic core composed of a ferromagnetic or ferrimagnetic material, such as iron.

An electromagnet's key benefit over a permanent magnet is the ability to swiftly alter the magnetic field by adjusting the amount of electric current flowing through the winding. Contrary to a permanent magnet, however

To know more about Electromagnet :

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Which of the following is true about the speed of light?
A: it is a constant when the light is traveling in a vacuum
B:it speeds up or slows down depending on the observer
C: it’s slowest in a vacuum
D:it varies depending on the color of the light.

Answers

Answer:

C. it’s slowest in a vacuum

Explanation:

When light propagates through a material, it travels slower than the vacuum speed, c.

Answer:

A

Explanation:

I took the test

Which of the following is a characteristic of electromagnetic waves?
A: they are all visible
B: they have a purely particle nature
C: they can travel with or without a medium
D: they cannot travel very fast

Answers

It is C-cannot travel very fast

A water-balloon launcher with a mass of 2.2 kg is suspended on a wire. It
fires a 0.85 kg balloon to the north at a velocity of 13.0 m/s. What is the
resulting velocity of the launcher if the net force on the launcher is equal to
the reaction force?
A. 5.0 m/s south
B. 33.6 m/s south
C. 5.5 m/s north
D. 6.3 m/s south

Answers

Answer:

5.0 m/s south.

Just did it.

Hope This Helps!

Answer:

5.0 m/s south

Explanation:

Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, what is the minimum horizontal velocity a diver must have to clear them?

Answers

Answer:6.5 m/s

Explanation:Look at the image I believe that's the answer

The horizontal velocity of the diver would be 6.522 meters / seconds.

What are the three equations of motion?

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem, Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, then we have to find out  the minimum horizontal velocity a diver must have to clear them,

By using the second equation of motion in the vertical direction,

s = ut + 0.5at²

61 = 0+ 0.5×(-9.81) ×t²

t² = 61/(0.5×9.81)

   = 12.43

t = 3.526 seconds

The horizontal velocity of the diver = 23 meters / 3.526 seconds

                                                            =6.522 meters / seconds

Thus, the horizontal velocity of the diver would be 6.522 meters/second.

To learn more about equations of motion from here, refer to the link;

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Question 5
The head of a hammer is often made of steel. This makes the head heavy, which helps create a strong force for driving nails. Steel is also strong. The
head of a hammer must be strong to resist what force?

Answers

Answer:

the nails

Explanation:

The force of the nail pushing in the opposite direction. The correct option is option D among all the given options.

What is force?

A force in physics is an effect that changes the velocity of a mass-moving object, causing it to accelerate from rest, for example. It is a vector quantity since it can be a push or even a pull and always has magnitude and direction.

The head of a hammer is often made of steel. This makes the head heavy, which helps create a strong force for driving nails. Steel is also strong. The head of a hammer must be strong to resist the force of the nail pushing in the opposite direction.

Therefore,  the force of the nail pushing in the opposite direction. The correct option is option D.

To know more about force, here:

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Your question is incomplete but most probably your full question was,  

The head of a hammer is often made of steel. This makes the head heavy, which helps create a strong force for driving nails. Steel is also strong. The head of a hammer must be strong to resist what force?

A The force of the air resistance on the moving hammer

B The force of the person using the hammer

C The force of gravity pulling down on the hammer

D The force of the nail pushing in the opposite direction

What is the density of a 15 g object that has a volume of 6 cm??

Answers

Answer:

2.5 g/cm³

Explanation:

To find density, divide the mass by the volume. In this case, 15 grams divided by 6 cm³ equals 2500 kg/m³, or simplified, 2.5 g/cm³. Hope it helps! To type ³, turn on Num Lock and then press Alt+0179. Have a good day!

For a substance to change from a gas to a liquid, what must happen to its particles?

Answers

As a gas cools, its particles slow down. When particles move slowly enough for their attractions to bring them together, droplets of liquid form. This process, which is the opposite of vaporization, is called condensation. As a gas condenses to a liquid, it releases the thermal energy it absorbed to become a gas. Answer should be A.

A wave has a speed of 23 m/s and a frequency of 13 Hz. What is the wavelength?

Answers

Answer:

1.76923077 meters

Explanation:

wavelength is denoted by the letter lambda it is equal to the speed (v) of a wave in a medium (air , water, light) divided by frequency , equals wavelength . so wavelength = v/f or = 23m/s ÷13hz

PLEASE HELP ASAP!! IF YOU CAN

Answers

As current increases, the magnetic field strength increases.

You travel 50 meters at an angle of 37° North of East.
a) Calculate the Horizontal component.

Answers

Answer:

a)     x = 39.9 m

Explanation:

To find the components of a vector we can use trigonometric relationships. Since they indicate that the angle is 37º north of east, this angle is measured counterclockwise from the x-axis, therefore using trigonometry.

          cos θ = x / d

          sin θ = y / d

where the angle is 37º and the distance d = 50 m

          x = d cos θ

          y = d sim θ

let's calculate

        x = 50 cos 37

        y = 50 sin 37

        x = 39.9 m

        y = 30.1 m


If the distance of an object is determined from the relation: d = a X + b Y Where: (d) is the distance covered by the body. (a) is a physical quantity which has a dimensions (L T^-1). (b) Is a physical quantity which has a dimensions (L T^-2). So: *

The dimension formula of (X) is T and that of (Y) is T^2.

The dimension formula of (X) is T and that of (Y) is T^-2

The dimension formula of (X) is T^-1 and that of (Y) is T^2.

The dimension formula of (X) is T^-1 and that of (Y) is T^-2.​

Answers

Answer:

The dimension formula of X is T and that of Y is  T^2

Explanation:

                     d = aX + bY is ACTAULLY  [tex]S = V_{i} t + \frac{1}{2} a t^{2}[/tex]

                     so v = LT^-1

                          t = T

                          numerics do not have any dimensional formula so ignore [tex]\frac{1}{2}[/tex]

                          a = LT^-2

                          t = T^2

                         So answer for x is T and y T^2

If a boomerhing is thrown 10 m in a straight line and returns
exactly to the spot it was thrown what is its displacement?

Answers

Answer:

0

Explanation:

First of all, what is displacement?

It is the minimum distance covered by a moving object between initial and final position.

Since the boomerang comes back to its original position, the displacement is 0!

The v
h.
The velocity of a vehicle reaches 4 m/s in 4 seconds. Is the velocity of the
car uniform? Explain.​

Answers

Answer:

The velocity is not uniform

Explanation:

The velocity is not uniform, since the vehicle is increasing its speed to a value of 4 [m/s] in a time of 4 [s], that is, the vehicle is accelerating to increase its velocity, so when there is acceleration the velocity can not be constant or uniform.

Vf = Vo +(a*t)

where:

Vf = final velocity = 4 [m/s]

Vo = initial velocity = 0

a = acceleration [m/s²]

t = time = 4 [s]

a = (4 - 0)/4

a = 1 [m/s²]

A driver in a 500 kg car going 20 m/s sees a large box in the middle of the road 100 meters away. How much net force is required to get the car to stop without hitting the box?

WILL GIVE BRAINLY AND 50 POINTS

Answers

Answer:

620

Explanation:

Answer:

100

correct me if I am wrong

You toss an apple across the room to a friend. Which of the following
statements is true about the apple at the top of its trajectory?

Answers

I believe the answer is C, but im not sure.

Explanation:

Answer:

its vertical component of its velocity is zero

Explanation:

6. Which statement best describe the relationship between temperature and thermal energy?
(1 Point)
Temperature is inversely related to thermal energy
Temperature is directly proportional to thermal energy
As temperature foes up, thermal energy goes down
Thermal energy is not related to energy

Answers

Answer:

Temperature is directly proportional to thermal energy.

A gas always spreads out to fill all available space.
True or False
Science Hw

Answers

Answer:

true

Explanation:

i know this im in 6th grade

This is True. Gases spread around freely and take up any available space. For example, there is oxygen. Oxygen is a gas we breathe in and spreads around freely, taking up any space.

On a roller coaster when does the car have potential kinetic energy and when is energy transferred?

Answers

Energy occurs when it is going upward. Yet when it is going downward, no energy is need because the force is pushing the cart down.

Answer: When the roller coaster goes to the top of the tracks there is energy

Explanation: When going up you need energy but going down the energy is being transferred downwards.

Breaking is a result of friction between the brake linings and your foot.

A. True
B. False

Answers

A. True is the answer

a class is performing an experiment to keep an ice cube solid as long as possible. Which students actions could be a source of error in this experiment

A. Maria checked her ice cube every half hour and forgot to reseal the container she put the ice cube in

B. Jody used a different experimental design than Carlos used

C. Carey repeated the experiment with three different ice cubes

D. Jerrie measured the ice cube before it started to melt

Answers

Answer: the answer Is A. Maria checked her ice cube every half hour and forgot to reseal the container she put the ice cube in

Explanation: I just took the test

Answer:

A

Explanation:

APEX:)

HEY CAN ANYONE PLS ANSWER DIS!!!!!!!!

Answers

Answer:

Distillation

Explanation:

Answer:

distillation is correct

Explanation:

hope it helps

PHYSICAL SCIENCE, PLEASE HELP!
Which items are matter?

Answers

Answer:

Mobile phone & battery.

An object is dropped from 20. meters above the moon. The acceleration due to gravity on the moon is 1.62 m/s^2
a. How long does it take for the object to impact the moon?
b. At what speed does it impact the moon?

Answers

Answer:

a. Approximately  3.21 seconds

b. Approximately  5.196 m/s

Explanation:

a. The height from which the object is dropped = 20 meters

The location of the occurrence = The moon

The acceleration due to gravity on the moon  = 1.62 m/s²

The time it took the object to to impact the moon is given by the equation of free fall as follows;

h = 1/2·a·t²

Where;

h =The height from which the object is allowed to freely fall = 20 meters

a = The acceleration due to gravity on the moon  = 1.62 m/s²

t = The time of motion of the object

Substituting the values, gives;

20 = 1/2 × 1.62 × t²

t² = 20/(1.2 × 1.62) ≈ 10.23 s²

t = √ 10.23 ≈ 3.21 s

The time in motion of the object before impact, t = 3.21 seconds

b. The final speed, v is given from the equation for speed under free fall, which is presented as follows;

v = u + a·t

Where

u = The initial vertical velocity = 0

Substituting the values gives;

v = 0 + 1.62 × 3.21 ≈ 5.196 m/s

The final speed, v with which the object impacts the moon ≈ 5.196 m/s

Can someone explain which of Newton’s Law is demonstrated in part 1 and which is demonstrated in part 2? (Picture)

Answers

Answer:

Every action has an equal and opposite reaction. If the student doesn't push, nothing moves, is one student pushes, both move which is an example of newtons third law.

Explanation:

When converting from smaller to larger units the decimal point travels right *

Answers

Answer:

False, it travels left.

Explanation:

Hello.

In this case, we can answer this with an example. If we have 200 g and we want that value in a larger unit, for instance, kilogram, the following conversion is performed since 1 kg equals 1000 g:

[tex]200g*\frac{1kg}{1000kg}=0.200g[/tex]

Whereas we needed to move the decimal point from right to left, which means that it travels left, that is why the statement is false.

Best regards.

No more energy can be removed from matter at
a. its freezing point.
c. absolute zero
b. 0°С.
d. 273 K.

Answers

C I hope it is correct good luck
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