A blue ball is thrown upward with an initial speed of 24.1 m/s, from a height of 0.5 meters above the ground. 2.9 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 7.2 m/s from a height of 32 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s2. Take up as the positive direction.
1. What is the speed of the blue ball when it reaches its maximum height?.
2. How long does it take the blue ball to reach its maximum height?.
3. What is the maximum height the blue ball reaches?.
4. What is the height of the red ball 3.77 seconds after the blue ball is thrown?.
5. How long after the blue ball is thrown are the two balls in the air at the same height?.

Answers

Answer 1

Answer:

1. Speed=0

2. 2.46 s

3.30.1 m

4. 22.0 m

5.1.004 s

Explanation:

We are given that

Initial speed of blue ball, u=24.1 m/s

Height of blue ball from ground y_0=0.5 m

Initial speed of red ball , u'=7.2 m/s

Height of red from ground=y'0=32 m

Gravity, g=[tex]9.81ms^{-2}[/tex]

1.When the ball reaches its maximum height then the speed of the blue ball is zero.

2.v=0

[tex]v=u+at[/tex]

Using the formula and substitute the values

[tex]0=24.1-9.81t[/tex]

Where g is negative because motion of ball is against gravity

[tex]24.1=9.81t[/tex]

[tex]t=\frac{24.1}{9.81}=2.46s[/tex]

3.[tex]y=y_0+ut+\frac{1}{2}at^2[/tex]

Using the formula

[tex]y=0.5+24.1(2.46)-\frac{1}{2}(9.81)(2.46)^2[/tex]

[tex]y=30.1 m[/tex]

4.Time of flight for red ball=3.77-2.9=0.87s

[tex]y'=32-7.2(0.87)-\frac{1}{2}(9.81)(0.87)^2[/tex]

[tex]y'=22.0m[/tex]

Hence, the height of red ball 3.77 s after the blue ball is 22.0 m.

5.According to question

[tex]0.5+24.1(t+2.9)-\frac{1}{2}(9.81)(2.9+t)^2=32-7.2t-\frac{1}{2}(9.81)t^2[/tex]

[tex]0.5+24.1t+69.89-4.905(t^2+5.8t+8.41)=32-7.2t-4.905t^2[/tex]

[tex]0.5+24.1t+69.89-4.905t^2-28.449t-41.25105=32-7.2t-4.905t^2[/tex]

[tex]0.5+69.89-41.25105-32=-24.1t+28.449t-7.2t[/tex]

[tex]-2.86105=-2.851t[/tex]

[tex]t=\frac{2.86105}{2.851}=1.004 s[/tex]

Hence,  1.004 s  after the blue ball is thrown  are the two balls in the air at the same height.


Related Questions

What is light? Let's tallk about anything

Answers

Light or visible light is electromagnetic radiation within the portion of the electromagnetic spectrum that can be perceived by the human eye. Visible light is usually defined as having wavelengths in the range of 400–700 nm, or 4.00 × 10⁻⁷ to 7.00 × 10⁻⁷ m, between the infrared and the

Consider a collection of charges in a given region and suppose all other charges are distant and have a negligible effect. Further, the electric potential is taken to be zero at infinity. If the electric potential at a given point in the region is zero, which of the following statements must be true?
A. The electric field is zero at that point.
B. The charges have the same sign and are symmetrically arranged around the given point.
C. The electric potential energy is a minimum at that point.
D. There is no net charge in the region.
E. Some charges in the region are positive, and some are negative.

Answers

Answer:

E. Some charges in the region are positive, and some are negative.

Explanation:

Electric potential is given as;

[tex]V = \frac{W}{Q}[/tex]

where;

W is the work done in moving a charge between two points which have a difference in potential

Q is quantity of charge in the given region

If the electric potential at a given point in the region is zero, then sum of the charges in the given region must be equal to zero. For the charges to sum to zero, some will be positive while some will be negative,.

Therefore, the correct statement in the given options is "E"

E. Some charges in the region are positive, and some are negative.

Mae puts on her new winter scarf. Signals are sent to her brain telling her that the scarf is soft. Which sense provides her brain with this information?​

Answers

Answer:

Touch

Explanation:

1. State the law of conservation of energy and what it means for you as a human considering how energy works.

2. Explain how different forms of energy are related.

PLEASE I NEED HELP!! I NEED IT NOW!! AND PLEASE DO IT IN YOUR OWN WORDS!! THANK YOU!

Answers

Answer: 1. The law of consevation of energy sates that energy can neither be created nor destroyed. It can only be transformed or transfered from one form to another. The law of conservation of energy is found everywhere for example, Water falls from the sky, converting potential energy to kinetic energy.

2. Different forms of energy are related because energy cannot be created or destroyed. they can all be transformed into from one form to another.

Explanation:

Describe how global context (scientific and technical innovation) is connected with force, friction,energy and motion in 200 words.

Answers

The global context of scientific inquires are technical innovation answers. It is connected with force friction energy and even motion.The global context is currently expiring in the worlds disruption. The comical diseases of the global stature human body semantically indecent

A 20.0 N force is necessary to stretch a spring 0.500 m. What is the spring constant of this spring?

Answers

The spring constant : k = 40 N/m

Further explanation

Given

Force = 20 N

The displacement of the spring=x=0.5 m

Required

The spring constant = k

Solution

Hooke's Law

F = k.x

k = F/x

Input the value :

k = 20/0.5

k = 40 N/m

Explain why objects in water appear to be a different size then the same objects above the water.

Answers

Answer:

the answer is the third one since water reflects it

Explanation:

Francine is dragging a heavy toolbox across a rough, cement floor.



What is a contact force that is acting on the box as Francine pulls it.

A.

static electricity

B.

gravity

C.

magnetism

D.

friction

Answers

Answer:

D. Friction

Explanation:

Answer:

d. friction

I took it on study island and got it correct thanks to the other guy that has answered

Explanation:

REAL ANSWER OR REPORTED, REAL GETS BRAINLIST
2. What is the weight of:
A 32 kg child
An 82 kg linebacker
A 1000 kg car


3. What is the mass of:
A student who weighs 524 Newtons
A table that weighs 441 Newtons
A hammer that weighs 51 Newtons

4. A 15 kg box sits motionless on the floor.
Draw a force diagram for the box.
Write a vertical Fnet equation for the box.
Determine the weight of the box.
What is the magnitude of the normal force?

Answers

Answer:

32kg = 313.6N

82kg = 803.6N

1000kg = 9800N

524N = 53.47kg

441N = 45kg

51N = 5.20kg

for the box diagram the weight of the 15kg box is 147N

the net force will be equal to zero because the box is motionless

Fg goes downward arrow of box 147N

Fnorm goes upward arrow of box 147N

Which two options are homogeneous mixtures?
A. Sand
B. A wet sponge
C. Liquid dishwashing soap
O D. Vinegar

Answers

Answer:

Liquid dishwashing soap

Vinegar

A crane is used to lower weights into a lake for an underwater construction project. Determine the tension in the cable of the crane due to a concrete sphere with a radius of 2 m when the sphere is lowered into the water. The concrete has a specific gravity of 2.8.

Answers

Answer:

Tension in the cable = 591292.8 N or 591.3 kN

Explanation:

Tension in the cable = Weight of object in air - upthrust/bouyancy due to the liquid

Weight of object in air = mass * acceleration due to gravity, g

Since mass is not given, it is obtained from the formula, mass = density * volume

Volume of the sphere = 4/3πr³ where r, radius = 2 m; π = 22/7

volume = 4/3 * 22/7 * (2m)³

volume of sphere = 33.52 m³

Density of concrete sphere = specific gravity * density of water

where, specific gravity = 2.8, density of water = 1000 kg/m³

density of concrete =  2.8 * 1000 kg/m³

density of concrete = 2800 kg/m³

acceleration due to gravity, g = 9.8 m/s²

Thus, weight of concrete = 2800 kg/m³ * 33.52 m³ * 9.8 m/s² = 919788.8 N

Upthrust = density of water * volume of sphere * g

Upthrust = 1000 kg/m³ * 33.52 m³ * 9.8 m/s² = 328496 N

The tension in the cable is the calculated as below;

Tension in the cable = Weight of object in air - upthrust/bouyancy due to the liquid

Tension in cable = 919788.8 N - 328.496 N = 591292.8 N

Therefore, tension in the cable is 591292.8 N or 591.3 kN

Given that the frequency of an EM wave is 4THz,what is the wavelength?
a) 75,000um
b) 75,000nm
c) 75,000pm
d) 75,000A

Answers

Answer:

B. 75,000nm

Explanation:

The wavelength of a wave can be calculated thus;

λ = v/f

Where;

λ = wavelength (m)

v = velocity of light = 3 × 10^8m/s

f = frequency (Hz)

According to this question, the EM wave has a frequency of 4THz i.e. 4 Terahertz = 4 × 10^12Hz

λ = 3 × 10^8 ÷ 4 × 10^12

λ = 3/4 × 10^(8-12)

λ = 0.75 × 10^-4

λ = 0.000075m

Based on the options given, this value is equivalent to 75,000nm, which means 75000 × 10^-9m.

What three factors determine the amount of potential energy in a object are ______,______,and ______.

Answers

Answer:

It should be Mass, Gravity and Height

Explanation:

A 0.20 kg mass is oscillating on Planet X at a small angle from a light string of length 0.15 m with a period of
0.75 s.
What is the acceleration of gravity on Planet X?
Round answer to two significant digits.

Answers

Answer:

11 m/s^2

Explanation:

We can determine the acceleration of gravity from the pendulum’s period and length.

Let’s use the equation for the period of a pendulum and solve for the acceleration of gravity:

According to the law of conservation of energy, how will the sum of the kinetic
and potential energies compare at the four points?
Can you also answer questions 1-5

Answers

Answer:

I think that this ans may help you

Imagine that I have a ping-pong ball and a bowling ball resting on the floor of our classroom. I go up to the bowling ball and give it a push so that it starts rolling. If I give a push of the exact same strength to the ping-pong ball, how will the resulting motion of the ping-pong ball be different

Answers

Answer:

the speed and aceleration of the ping pong ball is greater than that of the bowling ball.

Explanation:

We can analyze this exercise from several points of view, if we use Newton's second law

Bowling ball

           F = M a₁

pingpongg ball

           F = m a₂

as the forces the same

          M a₁ = m a₂

          a₂ = [tex]\frac{M}{m}[/tex] a₁

Since the mass of the bowling ball is much greater than the ping pong ball,

          a₂ »a₁

so the acceleration of the ping pong ball is much greater than the acceleration of the bowling ball.

If we use the relationship of momentum and momentum, assuming that the time for the two cases is the same and that both start from rest

Bowling ball

           I = F t = Δp

           I = M (v₁ - v₀)

Ping pong ball

           I = F t = Δp

           I = m (v₂ -v₀)

the impulse itself

          M v₁ = m v₂

          v₂ = [tex]\frac{M }{ m}[/tex] v₁

so we conclude that the speed of the ping pong ball is much greater than the speed of the bowling ball.

In conclusion the speed and aceleration of the ping pong ball is greater than that of the bowling ball.

7. (a) At a distance of d/5 from a positive charge, by what factor is the electric potential changed: (1) 1/5, (2) 5, (3) 1/25 or (4) 25? Why? (b) How far from a +2.0 uC charge is a point with an electric potential value of 15KV? (c) How much of a change in potential would occur if the point were moved to three times the distance?​

Answers

Answer:

it would change and the points would be off because of the change

You are driving up a long, inclined road. After 1.50mi you notice that signs along the roadside indicate that your elevation has increased by 510ft . b) How far do you have to drive to gain an additional 110ft of elevation

Answers

Answer:

1.825 miles

Explanation:

Given that :

Distance driven = hypotenus = 1.5 miles

Elevation at distance of 1.5 miles = 510 feets

Converting miles to feets for the hypotenus :

1 mile = 5280 feets

1.5 miles = (5280 * 1.5) = 7920 feets

To obtain the angle of inclination :

Using Pythagoras rule :

Sinθ = opposite / hypotenus

θ = Sin^-1(510 / 7920)

θ = 3.692°

For an additional elevation of 110 ft ; new height = 110 + 510 = 620 feets

Distance driven, d =?

Sin 3.69 = (620 / d)

0.0643581 * d = 620

d = 620 / 0.0643581

d = 9633.5970 feets

Converting to feets :

9633.5970 / 5280 = 1.8245448

= 1.825 miles

Billy is trying to shine a laser off a mirror at the end of a basketball court into Sam's eyes to distract him (Billy is evil). Sam is at a 38 degree reflection angle from the mirror. At what angle does Billy need to shine the laser at the mirror to get it in Sam's eyes.​

Answers

Answer:

When we have a plane interface, the angle of incidence of the ray is the same as the angle of reflection.

In this case, we have a mirror (we assume that it is plane) and we know that we need to have an angle of reflection equal to 38° in order to reach Sam.

Then the angle of incidence of the ray must also be exactly 38°.

Then Billy needs to shine his laser at an angle of 38° at the mirror.

(where the angle is measured between the normal line to the surface of the mirror and the incident ray)

Billy needs to shine the laser at an incident angle of 38 degrees.

LASER is an acronym that stands for “light amplification by the stimulated emission of radiation.” We know that according to the laws of reflection, the angle of incidence is equal to the angle of reflection.

As such, knowing that Sam is at a 38 degree reflection angle from the mirror, Billy needs to shine the laser at an incident angle of 38 degrees.

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g A boat is anchored 2000 ft from shore anddirects its searchlight towards an automobile travelingdown the straight road. At the particular moment whenthe distance rfrom the searchlight to the automobile is3000 ft, the automobile has speed 80 ft/s and increasesits speed at a rate of 15 ft/s2 down the road.Find the required angular velocity and angularacceleration of the boat's searchlight to track the automobile at this instant.(Answers: 0.018 rad/s CCW, 0.004 rad/s2 CCW)

Answers

Answer:

Explanation:

The distance of searchlight will act as radius R and velocity of car may be supposed to be tangential velocity v  . We are required to calculate  angular velocity ω .

v = 80 ft /s

R = 3000 ft

ω = v / R

= 80  / 3000 = .027 rad / s

For angular acceleration the formula is

angular acceleration α = a / R

a is linear acceleration = 15 ft / s²

α = 15 / 3000 = .005 rad / s².

What recreational drug does an alcopop contain?

Answers

Alcohol is 100% correct

An "alcopop" is a term used to describe a flavored alcoholic beverage that typically resembles a soft drink or a fruit juice in appearance and taste. It is also referred to as a "ready-to-drink" (RTD) beverage.

Alcopops are often targeted toward younger consumers and are known for their sweet and fruity flavors, which can mask the taste of alcohol.

The specific recreational drug that an alcopop contains is alcohol itself. Alcohol, or ethanol, is a psychoactive substance that can have intoxicating effects when consumed.

It is considered a recreational drug because of its ability to alter consciousness, impair judgment and coordination, and produce pleasurable or mood-altering effects.

The alcohol content in alcopops can vary, but it is typically lower than in pure spirits or liquors. This is often achieved through dilution with other ingredients, such as carbonated water or fruit juices, to create a milder alcoholic beverage.

Alcopops may also contain additional flavorings, sweeteners, and additives to enhance their taste and appeal.

Know more about alcopop:

https://brainly.com/question/33750456

#SPJ4

A 1.0 C charged object and a 2.0 C charged object are separated by 100 m. Where should a -1.0x10-3 C charged object be placed on a line between the positively charged objects so that the net electrical force exerted on the negatively charged object is zero

Answers

Answer:

x = 41.2 m

Explanation:

The electric force is a vector magnitude, so it must be added as vectors, remember that the force for charges of the same sign is repulsive and for charges of different sign it is negative.

In this case the fixed charges (q₁ and q₂) are positive and separated by a distance (d = 100m), the charge (q₃ = -1.0 10⁻³ C)) is negative so the forces are attractive, such as loads q₃ must be placed between the other two forces subtract

             F = F₁₃ - F₂₃

let's write the expression for each force, let's set a reference frame on the charge q1

           F₁₃ = [tex]k \frac{q_1 q_3}{x^2}[/tex]

           F₂₃ = [tex]k \frac{q_2 q_3}{(d-x)^2}[/tex]

they ask us that the net force be zero

           F = 0

           0 = F₁₃ - F₂₃

           F₁₃ = F₂₃

          k \frac{q_1 q_3}{x^2} =k \frac{q_2 q_3}{(d-x)^2}

          [tex]\frac{q_1}{x^2} = \frac{q_2}{(d-x)^2 }[/tex]q1 / x2 = q2 / (d-x) 2

       

           (d-x)² = [tex]\frac{q_2}{q_1}[/tex] x²

we substitute

           (100 - x)² = 2/1  x²

           100- x = √2  x

           100 = 2.41 x

           x = 41.2 m

is found in wood or straw?*
2.
Sucrose
2.Xylose
3.Maltose
4.Galactose

Answers

The answer is Xylose

Does light travel faster in seawater or in fresh water? Does light travel faster in seawater or in fresh water? Light travels faster in seawater, because the index of refraction is smaller in seawater. Light travels faster in fresh water, because the index of refraction is smaller in fresh water. Light travels faster in fresh water, because the index of refraction is larger in fresh water. Light travels faster in seawater, because the index of refraction is larger in seawater.

Answers

No

because that is a light

The light travel faster in fresh water as compare to sea water.

When light goes from denser to rare medium the speed of light is increases.When light travel from rare to denser medium the speed of light is decreases.The reflective index of denser medium is more as compare to rare medium.The reflective index of sea water is more as compare to fresh water.

Hence, the light travel faster in fresh water as compare to sea water.

Learn more:

https://brainly.com/question/10769980

A ball player catches a ball 3.10 s after throwing it vertically upward. a) with what speed did he throw it? b) what height did it reach?​

Answers

Answer:

speed=30.41, height=94.27

Explanation:

since the motion is vertical upward means the motion is against gravitational force and the initial velocity of the ball was zero.

The membrane that surrounds a certain type of living cell has a surface area of 4.7 x 10-9 m2 and a thickness of 1.3 x 10-8 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 4.7. (a) The potential on the outer surface of the membrane is 79.5 mV greater than that on the inside surface. How much charge resides on the outer surface

Answers

Answer:

Q = 1.2*10⁻¹² C

Explanation:

For any capacitor, by definition the capacitance C is equal to the relationship between the charge on one of the conductors and the potential difference between them, as follows:

       [tex]C = \frac{Q}{V} (1)[/tex]

For the special case of a parallel plate capacitor, just by application of Gauss' law to a rectangular surface half out of the outer surface, and half inside it, it can be showed that the value of the capacitance C is a parameter defined only by geometric constants, as follows:

       [tex]C = \frac{\epsilon_{0}*\epsilon _{r} * A}{d} (2)[/tex]

So, due to the left sides in (1) and (2) are equal each other, right sides must be equal too.Replacing ε₀, εr (dielectric constant), A, d and V by their values, we can solve for Q, as follows:

       [tex]Q =\frac{\epsilon_{0} * \epsilon_{r} *A* V}{d} = \frac{(8.85*(4.7)^{2}*79.5)e-24 (F/m*m2*V)}{1.3e-8m} = 1.2e-12 C = 1.2 pC (3)[/tex]

Someone help me with this PE question?

Answers

Answer:

Your abdominals

Explanation:

I think it is your core

What is a measure of how much matter an object is made of?

Answers

Answer:

grams

Explanation:

diffraction of light is the __________ of light as it passes through the Edges of a barrier or a slit.

1, reflections
2, refraction
3,bending
4,absorbing

Answers

Answer:

3 bending

Explanation:

A boat moves up and down as water waves pass under the boat. If the amplitude of the wave gets bigger, then
A)
the boat will rise up higher.
B)
the boat will not rise up as high.
C)
the boat will go up and down more often.
D)
the boat will continue to move the same way.

Answers

the anwser is A or D

Answer: The Boat will rise

Explanation: Because high amplitude means high in heights.

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