At a football game, the cheerleading squad launches a Rattler t-shirt with the t-shirt shooter into the bleachers from the football field with an initial velocity of 50 m/s at an angle of 400. Assume gravity is -9.8 m/s2.
calculate the following-:
a.the time for the T-shirt to reach the maximum height
b.The maximum height reached by the T-shirt
c.the horizontally distance that the T-shirt will have covered when it is at maximum height?
d.The time for the T-shirt to land on the stand which is 160 m away.

Answer:

What is the average force of collision?

Explanation:

The velocity of the combined mass after impact is found by conservation of momentum

0.480(75) + 0.240(0) = (0.480 + 0.240)v

v = 50 m/s

An impulse results in a change of momentum

FΔt = mΔv

F = mΔv/Δt

for the pigeon

F = 0.240(50 - 0)/0.015

F = 800 N

for the falcon

F = 0.480(50 - 75)/0.015

F = -800 N

The final speed(v) of the Peregrine falcons and pigeon is 50 m/s

The objective of this question is to determine the final speed(v) of the Peregrine falcons and pigeon

From the information given:

According to the conservation of momentum, we can say that the totality of momentum before and after the collision is the same. As such;

\(\mathbf{m_fv_f = (m_f+m_p) v}\)

\(\mathbf{480 g \times 75 m/s = (480 + 240) \ g \times v}\)

\(\mathbf{v = \dfrac{480 g \times 75 m/s}{(480 + 240) \ g}}\)

\(\mathbf{v = \dfrac{36000 \ m/s}{ 720}}\)

v = 50 m/s

Learn more about conservation of momentum here:

https://brainly.com/question/18066930?referrer=searchResults

A total of 90 generations have passed during the last 2,000 year.

Generation or also referred era alludes to all of the individuals born and living at around the same time, respected collectively. It can too be portrayed as, "the normal period, by and large considered to be approximately 20–⁠30 a long time, amid which children are born and develop up, gotten to be grown-ups, and start to have children." whereas A lifetime is the complete length of time an individual or other living thing is live. Since we have given that the Life expectancy is about 70 years and the generation is one-third of a lifetime.

So, one-third of 70 is approximate 23, which means one generation is about 23 years

So, since we have to calculate the number of generations passed in 2000  years,

so 2000/23 = 86.95

which is approx 90.

So the estimated number of a generation passed is 90

To know more about generation refer to the link https://brainly.com/question/12841996?referrer=searchResults.

#SPJ1

The graph below shows the motion of a person leaving theater, line segment C represent : The person is moving away from the theater.

In physics, motion is a change with time of the position or orientation of a body. Motion along a line or a curve is called as translation whereas motion that changes orientation of a body is called rotation.

Motion is a change in position of an object over the  time and is described in terms of displacement, distance, velocity, acceleration, time and speed.

Change in position of a body with time when compared with another body is known as  motion.

To know more about motion, refer

https://brainly.com/question/26083484

#SPJ1

Answer:

Because it is the standard operational range for measuring the body temperature of a living individual.

Explanation:

When making a measuring equipment like a thermometer, you attempt to keep the reading range (Span) as small as possible so that the reading is as accurate as feasible. Because sensors are often rated in percent of span (in this example, span = 45 C–32 C = 13 degrees Celsius), One percent of 13 equals 0.13 degrees Celsius, thus if your sensor has a usual accuracy of 1%, your temperature reading is accurate to roughly 0.1 degrees Celsius.

Your precision would be 0.2 degrees Celsius if you doubled the span. The reading accuracy is now becoming unsatisfactory. Readability is another advantage of analog and mercury clinical thermometers. The markings for 0.1 deg C would be ten times closer together if a mercury thermometer had ten times the range (span). There is a limit to the device's readability.

The ranking of astronomical objects are based on their diameter and they are ranked from the largest diameter to the smallest diameter.

A white dwarf star typically has a diameter similar to the of the Earth, which is an order of magnitude smaller than the diameter of the Sun.

The listed objects from largest to smallest would be:

Based on diameter

Therefore the above ranking of astronomical objects are based on their diameter and they are ranked from the largest diameter to the smallest diameter.

To know more about astronomical object, refer: https://brainly.com/question/13738370

#SPJ4

This question involves the concepts of the thin lens formula, focal length, and image distance.

The image of the house is "16 ft" away from the lens.

According to the thin lens formula:

\(\frac{1}{f}=\frac{1}{p}+\frac{1}{q}\)

where,

f = focal length = 8 ft

p = object distance = 16 ft

q = image distance = ?

Therefore,

\(\frac{1}{8\ ft}=\frac{1}{16\ ft}+\frac{1}{q}\\\\\frac{1}{q}=\frac{1}{8\ ft}-\frac{1}{16\ ft}\\\\\frac{1}{q}=0.125\ ft^{-1}-0.0625\ ft^{-1}\\\\q=\frac{1}{0.0625\ ft^{-1}}\\\\\)

q = 16 ft

Learn more about the thin lens formula here:

https://brainly.com/question/3074650

Answer:

a. The object is moving with a constant velocity.

Answer:

\(-180.38\ \text{N}\)

Explanation:

\(q_1=-53\ \mu\text{C}\)

\(q_2=105\ \mu\text{C}\)

\(q_3=-88\ \mu\text{C}\)

r = Distance between the charges

\(r_{12}=0.5\ \text{m}\)

\(r_{23}=0.95\ \text{m}\)

\(r_{13}=1.45\ \text{m}\)

k = Coulomb constant = \(9\times 10^9\ \text{Nm}^2/\text{C}^2\)

Net force is given by

\(F=F_{12}+F_{13}\\\Rightarrow F=\dfrac{kq_1q_2}{r_{12}^2}+\dfrac{kq_1q_3}{r_{13}^2}\\\Rightarrow F=kq_1(\dfrac{q_2}{r_{12}^2}+\dfrac{q_3}{r_{13}^2})\\\Rightarrow F=9\times 10^9\times (-53\times 10^{-6})(\dfrac{105\times 10^{-6}}{0.5^2}+\dfrac{-88\times 10^{-6}}{1.45^2})\\\Rightarrow F=-180.38\ \text{N}\)

The force on the particle \(q_1\) is \(-180.38\ \text{N}\).

Answer:

The answer sir would be 180.38

Explanation:

Put in 180.38 trust

a)  the average power of the elevator motor during this period is 0.1696 hp

b) The power during an upward trip with constant speed is 16.13 horsepower.

To calculate the average power of the elevator motor during the period of acceleration, we need to find the work done by the motor and divide it by the time taken.

Given:

Mass of the elevator (m) = 682 kg

Acceleration (a) = (1.80 m/s - 0) / 3.10 s = 0.5806 m/s²

Time taken for acceleration (t) = 3.10 s

(a) First, let's calculate the displacement (d) using the formula for uniformly accelerated motion:

d = 0.5 * a * t^2

= 0.5 * 0.5806 m/s² * (3.10 s)^2

= 1.0153 m

Next, we can calculate the work done (W) by the elevator motor:

W = m * a * d

= 682 kg * 0.5806 m/s² * 1.0153 m

= 391.55 J

Now, to find the average power (P), we divide the work done by the time taken:

P = W / t

= 391.55 J / 3.10 s

= 126.36 W

To convert the power to horsepower, we can use the conversion factor: 1 horsepower (hp) = 745.7 watts.

Therefore, the average power of the elevator motor during this period is:

P = 126.36 W / 745.7

= 0.1696 hp

(b) During an upward trip with constant speed, the elevator does not accelerate, so the power required is only to counteract the force of gravity and friction. The power during an upward trip with constant speed is equal to the power required to overcome the force of gravity and friction.

The force of gravity (Fg) can be calculated using:

Fg = m * g

= 682 kg * 9.8 m/s²

= 6683.6 N

The power (P) required is given by the formula:

P = Fg * v

= 6683.6 N * 1.80 m/s

= 12030.5 W

To convert the power to horsepower:

P = 12030.5 W / 745.7

= 16.13 hp

Therefore, the power during an upward trip with constant speed is 16.13 horsepower.

Know more about work done here:

https://brainly.com/question/28356414

#SPJ8

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

How do digital signals work?

An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.

Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

To know more about Digital signals, check out:

https://brainly.com/question/28160561

#SPJ1

Answer:

F=ma

Explanation:

Force is equal to mass multiplied by area

Force= mass × area

In turn the formula can be twisted so

Force/mass= area

Force/area= mass

Answer:

It states that the rate of change of velocity of an object is directly proportional to the force applied and takes place in the direction of the force. It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s²). Thus, an object of constant mass accelerates in proportion to the force applied.

Answer:

Yes

Explanation:

Outer space is an excellent environment to demonstrate the law of Action-Reaction, since there is no friction with boundaries, and also one is away from the Earth gravitational pull, then such force can be neglected.

At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

For such more questions on speed

https://brainly.com/question/31380575

#SPJ8

Answer: His third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A.

Explanation:

Explanation:

According to Newton's third law of motion, whenever two objects interact, they exert equal and opposite forces on each other. This is often worded as 'every action has an equal and opposite reaction'.

Answer:

The magnitude of displacement vector 2D-E is approximately 14.49 units. The calculation is done using the Pythagorean theorem after finding 2D-E by multiplying vector D by 2 and subtracting vector E.

Explanation:

The value of 2D-E must first be calculated in order to ascertain the displacement 2D-E's magnitude. Vector D may be multiplied by two to accomplish this, and the result can be obtained by deducting vector E:

2D-E = 2(6i + 3j - k) 4i + 5j + 3k = 8i + 11j - 5k - (4i - 5j + 3k) = 12i + 6j - 2k

We can use the Pythagorean theorem to determine the magnitude of the displacement vector now that we know it:

|2D-E| = √(8² + 11² + (-5)²) = √(64 + 121 + 25) = √210 ≈ 14.49

The displacement 2D-E magnitude is therefore 14.49 units or such. From the object's beginning location to its ultimate position, the displacement's entire length is shown by this. Being a scalar variable, the displacement's magnitude does not reveal the displacement's direction.

To know more About displacement's direction

https://brainly.com/question/218648

Answer:

C = $5.08

it costs $5.08 to run the LED bulb for one year if it runs for four hours a day

Explanation:

Given;

Power of Led bulb P = 12 W

Rate r = $0.29 per kilowatt-hour

Time = 4 hours per day

The number of hours used in a year is;

time t = 4 hours per day × 365 days per year

t = 1460 hours

The energy consumption of Led bulb in a year is;

E = Pt

E = 12 W × 1460 hours

E = 17520 watts hour

E = 17.52 kilowatt-hour

The cost of the energy consumption is;

C = E × rate = Er

C = 17.52 × $0.29

C = $5.08

it costs $5.08 to run the LED bulb for one year if it runs for four hours a day

Answer:

jjjjjjjjjjjjjjjj

Explanation:

The gravitational potential energy added when the velociraptor and cage is lifted from the ground to a height of 9 m is approximately 15,998.95 joules.

What is Potential Energy?

Potential energy is a form of energy that is stored in an object due to its position or configuration in a system. It is the energy that an object has the potential to possess, or the ability to do work, as a result of its position or state.

The gravitational potential energy (GPE) added when the velociraptor and cage is lifted from the ground to a height of 9 m can be calculated using the formula:

GPE = mgh

Where m is the mass of the velociraptor and cage, g is the acceleration due to gravity (approximately 9.81 m/\(s^{2}\)), and h is the height lifted.

Given that the mass of the velociraptor and cage together is 175 kg, and the height lifted is 9 m, we can substitute these values into the formula:

GPE = mgh

GPE = (175 kg) x (9.81 m/\(s^{2}\)) x (9 m)

GPE = 15,998.95 J (joules)

Learn more about Potential Energy from the given link

https://brainly.com/question/14427111

#SPJ1

Between Kinetic energy and speed: The relationship is quadratic or parabolic. According to the kinetic energy formula, KE = 1/2 mv^2, the kinetic energy is proportional to the square of the speed.

Between potential energy and mass: The relationship is linear. The potential energy is directly proportional to the mass. In simple cases, the potential energy is given by PE = mgh, where mass (m) and height (h) are directly proportional.

Between pressure and volume: The relationship is inverse. According to Boyle's law, the pressure and volume of a gas are inversely proportional when temperature is constant. Mathematically, P1V1 = P2V2.

Between pressure and temperature: The relationship is linear. According to Charles's law, the pressure and temperature of a gas are directly proportional when volume is constant. Mathematically, P1/T1 = P2/T2.

Between displacement and velocity: The relationship is linear. Velocity is the rate of change of displacement with respect to time, so the two are directly proportional.

Answer:

27

Explanation:

The magnitude of a negative number is the absolute value of that number.

|-27| = 27

Answer: 27

Answer: Liquid 2, if it's 3 g/mL and liquid 2 has 6gs and 2 mLs than it's 3g/mL

Answer:

a)  \(v=206.896m/s\)

b)  \(L=6.749m\)

Explanation:

From the question we are told that:

Frequency \(F=46Hz\)

Length \(l=579m\)

Total Mass \(T=4.3kg\)

Tension \(T=3423\)

a)

Generally the equation for velocity is mathematically given by

\(v=\sqrt{\frac{T}{\rho}}\)

Where

\(\pho=m*l\\\\\pho=46*579\\\\\pho=0.0799kg/m\)

Therefore

\(v=\sqrt{\frac{3423}{0.0799}}\)

\(v=206.896m/s\)

b)

Generally the equation for length of string is mathematically given by

\(L=\frac{3\lambda}{2}\)

Where

\(\lambda=\frac{v}{f}\)

\(\lambda=\frac{206.89}{46}\)

\(\lambda=4.498\)

Therefore

\(L=\frac{3*4.498}{2}\)

\(L=6.749m\)

Four times as much energy is retained in the parallel capacitors connection than in the capacitors connection.

People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible.

Given two identical capacitor

i.e they have the same capacitance C

A) Now for series connection,

1/Ceq=1/C+1/C

1/Ceq=(1+1)/C

1/Ceq=2/C

Then, Ceq=C/2

Ceq=½C

So the energy stored in a capacitor is given as

Us= ½CeqV²

Us=½×½CV²

Us=¼CV²

Now, for parallel connection

Ceq=C+C

Ceq=2C

Then,

Energy is given as

Up=½CeqV²

Up=½×2CV²

Up=CV²

Comparing this to series

Us=¼CV², since CV²=Up

Then, Us=¼Up

Up=4Us

Up/Us=4

As a result, the energy saved in the parallels capacitor connection is four times that of the series capacitor connections.

B) Charges

to connect in series

We are aware that the same charge travels in series. Now that they are the same capacitance and are in series, the voltage differential is V/2, so they will split the voltage.

And the charge is given as

Q=CeqV

Qs=½CV

Qs=½CV for each capacitor

Then the total charge will be

Qs=½CV×2.

Qs=CV

Now, for parallel connection

The charge for parallel is given as

Q=CeqV

Qp=2CV

Now comparing

Qp/Qc=2CV / CV

Qp/Qc=2

The maximum charge of the parallel is four times that of the series again

C) Electric field is given as

E=V/d

Ep=V/d

Due to their identical capacitance, they will split the voltage in a series, where the voltage differential is now V/2.

Es=V/2d.

Then,

Ep/Es=V/d ÷ V/2d

Ep/Es= 2

To learn more about energy visit:

https://brainly.com/question/15169561

#SPJ4

Mass of  the cannon will be 200 kg

m1 = mass of cannonball

m2 = mass of cannon

u1 = initial velocity of cannonball

u2 =  initial velocity of cannon

v1 = final velocity of cannonball

v2 = final velocity of cannon

using conservation of momentum

m1u1 + m2u2 = m1v1 + m2v2

5 * 0 + m2 * 0 = 5 *  90 + m2 * -2.25

m2 = 200 kg

mass of  the cannon will be 200 kg

To learn more about momentum here :

https://brainly.com/question/4956182

#SPJ1

Answer:

The mass of the second ball is \(m_2 = 2.175m \ kg\)

Explanation:

From the question we are told that  

     The mass of the first  ball is  m

Let assume

    The original speed of the first ball is  \(u_1\)

     The rebound speed is  \(v_1 = 0.370u_1 \ m/s\)

According to the law of momentum conservation

       \(m_1 u_1 + m_2 u_2 = -m_1 v_1 + m_2 v_2\)

The  second ball is at rest so  

      \(u_2 = 0\)

And the negative sign shows that it is a rebound velocity

        \(mu_1 + = -m v_1 + m_2 v_2\)

=>   \(mu_1 + = -0.370 mu_1 + m_2 v_2\)

Now  we are told that the collision is  elastic, this means that the velocity of approach will be equal to the velocity of separation

  So  

          \(u_1 = v_1 + v_2\)

=>       \(u_1 = 0.370u_1 + v_2\)

=>       \(v_2 = 0.63 \ u_1\)

substituting this into equation above

\(mu_1 + = -0.370 mu_1 + m_2 (0.63 u_1)\)

\(1.370 mu_1 = m_2 (0.63 u_1)\)

=>    \(m_2 = 2.175m \ kg\)

The mass of the second ball in terms of the first ball, m, is 2.175 m.

The given parameters;

Apply the principle of conservation of linear momentum to determine the mass of the second ball as shown below;

\(m_1 u_1 + m_2 u_2 = m_1v_1 + m_2 v_2\\\\mu_1 + m_2(0) = m(-0.37u_1) + m_2v_2\\\\mu_1 = -0.37u_1m + m_2v_2\\\\mu_1 + 0.37mu_1 = m_2v_2\\\\1.37 mu_1 = m_2 v_2 \ --(1)\)

Apply one-dimensional velocity equation for elastic collision;

\(u_1 + v_1 = u_2 + v_2\\\\u_1 + (-0.37u_1) = 0 + v_2\\\\u_1 -0.37u_1 = v_2\\\\v_2 = 0.63 u_1\)

substitute the value of v₂ into the above equation;

\(1.37mu_1 = m_2(0.63u_1)\\\\1.37mu_1 = 0.63m_2u_1\\\\m_2 = \frac{1.37mu_1}{0.63u_1} \\\\m_2 = 2.175 \ m\)

Thus, the mass of the second ball in terms of the first ball, m, is 2.175 m.

Learn more here:https://brainly.com/question/3227235

Answer:

Mercury - 800°F (430°C) during the day, -290°F (-180°C) at night. Venus - 880°F (471°C) Earth - 61°F (16°C) Mars - minus 20°F (-28°C)30-Jan-2018

Answer:

60 Ω

Explanation:

R(com) = 15 Ω

1/R(com) = 1/R1 + 1/R2 + 1/R3 ..... + 1/Rn

1/15 = 1/20 + 1/R2

1/R2 = 1/15 - 1/20

1/R2 = (4 - 3) / 60

1/R2 = 1/60

R2 = 60 Ω

así, la combinada de resistencia necesaria es 60 Ω

The resistivity of the wire is 2.52 x 1\(0^{-4}\) ohm-m.

The resistance of the wire can be calculated using Ohm's Law, which states that the resistance (R) of a conductor is equal to the potential difference (V) applied across it divided by the current (I) flowing through it:

R = V / I

In this case, we are given the potential difference (V) and the current (I), so we can plug these values into the equation to find the resistance:

R = 2.1 V / 5.7 A = 0.3684 ohms

The resistivity (ρ) of the wire can then be calculated using the equation:

ρ = R × A / L

Where R is the resistance, A is the cross-sectional area, and L is the length of the wire. Plugging in the values we have:

ρ = 0.3684 ohms × 0.82 mm² / 1.2 m = 0.2522 ohm-mm²/m

Note that the units of the cross-sectional area and length need to be the same in order for the equation to work. In this case, we can convert the length from meters to millimeters:

1.2 m = 1200 mm

Plugging this value back into the equation:

ρ = 0.3684 ohms × 0.82 mm² / 1200 mm

= 2.52 x 1\(0^{-4}\) ohm-mm²/mm

= 2.52 x 1\(0^{-4}\) ohm-m

More questions on resistance can be found here: https://brainly.com/question/13034929

#SPJ11

In our lives or possibly in countless lifetimes, non-renewable energy sources will deplete or cease to exist. Coal, petroleum, & natural gas make up the majority of non-renewable energy sources.

By most standards, biofuels, oil, and natural gas—cause significantly more damage than renewable energy sources, including air pollution, ill effects on human health, habitat loss for species, water use, land use, the global warming emissions.

Coal, nat gas, oil, & nuclear energy are examples of nonrenewable energy sources. Since we now depend on these resources for the majority of our energy, once they are depleted, they could be replaced, which poses a serious issue for humanity.

To know more about Non-renewable energy visit:

https://brainly.com/question/877821

#SPJ1