A rocket is launched from atop a 101 foot cliff with an initial velocity of 116 ft/s.

\a. Substitute the values into the vertical motion formula h(t) = -16t2 + vt + h0 . Let h(t) = 0

b. How long will the rocket take to hit the ground after it is launched? Round to the nearest tenth of a second.

Answers

Answer 1

Answer:

A. 16t2 -116t -101=0 B. 8.0s

Explanation:

Known parameters from the question:

Height of Cliff,h0 = 101ft

Velocity of rocket ,v= 116ft/s.

1.Substituting the above to the above formula we have;

h(t) = -16t2 + vt + h0

Since h(t) =0, it means the rocket is falling towards the ground, when it gets to the ground when it's at rest the height h(t) = 0m

{Note the rocket is launched from the height of the Cliff so that would be the initial height of the rocket,h0}

2.Substituting into h(t) = -16t2 + vt + h0

We have;

0 = -16t2 + 116t + 101=> 16t2 -116t -101=0

Using formula method for solving quadratic equation we have;

t = -(-116)+_√[(-116)^2 -( 4× 16 ×-101]/ (2× 16)

t = [116 +_(141.1382)]/32

t = (116 -141.1382)/32 or (116 +141.1382)/32

-0.786s or 8.036s

-0.8s or 8.0s to the nearest tenth.

Now time cannot be negative in real life situation hence the time is 8.0s

Note : the general equation of a quadratic equation with variable t is given below;

at2 + bt + c=0

Formula method for quadratic equation is :

t =( -b+_√[(b^2 -( 4× a×c)] ) / (2× a)


Related Questions

A river is flowing south at a constant speed of 1.20 m/s. The river is 45 meters wide.

Alice swims in the direction perpendicular to the river.

In order to target the spot 90 meters south of the starting point on the bank of the other side, what should be Alice’s speed relative to the water?

Answers

Alice's speed relative to the water should be 0.6 m/s in order to target the spot 90 meters south of the starting point on the bank of the other side.

What is relative velocity?

Relative velocity refers to the velocity of an object with respect to another observer.

Velocity is speed in a given direction and is a vector quantity.

Velocity = displacement/time

There is relative velocity between Alice and the water.

Let Alice's velocity relative to the river be x

Time it will take her to cross the river = 45/x

The displacement of the river in that time is given below as;

Displacement = velocity * time

Velocity of river = 1.20 m/s

time, t = 45/x

d = 90 m

90 = 1.2 * 45/x

90x = 54

x = 54/90

x = 0.6 m/s

Therefore, Alice's speed relative to the water should be 0.6 m/s.

In conclusion, relative velocity is the velocity of one object from the reference point of another object.

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You slide a TV up a ramp to move it into a house. What kind of simple
machine are you using?
O A. Screw
B. Inclined plane
O c. Wheel and axle
O D. Lever
SUBMIT

Answers

Answer:

inclined plane

Explanation:

An inlcined plane is a simple machine used to slide an object over an obstacle

alex goes cruising on his dirt bike. he rides 700 m north, 300 m east, 400 m north, 600 m west, 1200 m south 300 m east and finally 100 m north. what distance did he cover? what was his displacement? (use 1cm

Answers

He started from point O . After traveled he reached at the same point O.

from the graph given which is attatched :

OA = 700m ab = 300 m bc = 400m

CD = 600m DE = 1200m EF = 300m and FO = 100m

total distance covered =  700+ 300 + 400 + 600 + 1200 + 300 + 100

= 3600m

hence he covered 3600m distance

since, he started from point O and after travelled he reaches the same point from where he started means the initial and final position is same

therefore the total displacement is zero

displacement = 0

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A ball is attached to the end of a string. It is swung in a vertical circle of radius 2.5 m. What is the minimum velocity that the ball must have to make it around the circle?

Answers

i don't Know

Explanation:

learn from yourself.

three capacitors (4.2, 8.5, and 16.3 f) are connected in series across a 50.0-v battery. find the voltage across the 4.2-f capacitor.

Answers

The voltage across the 4.2 F capacitor is 28.25 V.

To find the voltage across the 4.2 F capacitor, we can use the formula:

\(V = \frac{Q}{C}\)

Where V is the voltage, Q is the charge on the capacitor, and C is the capacitance.

We know:

C₁ = 4,2 F.C₂ = 8,5 F.C₃ = 16,3 F.Q = 50,0 V

First, sing the formula for capacitance in series, we can find the total capacitance:

\(\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{c_3} \\ \frac{1}{C_{total}} = \frac{1}{4,2} + \frac{1}{8,5} + \frac{1}{16,3}\\ \frac{1}{C_{total}} = 0,4213\\ C_{total} = 2,3728 F\)

Now we can use the formula for the total charge on the capacitors:

\(Q = C_{total} . V\\Q = 2.3728 F . (50.0 V)\\Q = 118.64 nC\)

Since the charge is the same on each capacitor, we can use the formula for voltage on a capacitor to find the voltage across the 4.2-f capacitor:

\(V_{4,2} = \frac{Q}{C_{4,2}} \\V_{4,2} = \frac{118.64 nC}{4,2F} \\V_{4,2} = 28.25 V\)

Therefore, the voltage across the 4.2 F capacitor is 28.25 V.

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Many electrical appliances such as straightening irons, electric razors, and hair dryers come with warning tags not to use them while in the shower or
bathtub. How does wet skin make these appliances more dangerous?

Answers

It is important to always follow the warning labels on electrical appliances and avoid using them in wet conditions, such as in the shower or bathtub, to reduce the risk of electrical shock and potential injury.

Why are electrical appliances designed to be used in dry conditions?

Electrical appliances are designed to be used in dry conditions, and when they come into contact with wet skin, it increases the risk of electrical shock. The presence of water, especially in a shower or bathtub, can provide a pathway for electricity to flow through your body, which can result in electrocution.

Water is an excellent conductor of electricity, and it can reduce the resistance in your body, making it easier for electrical current to pass through. When you are in a shower or bathtub, your skin becomes wet and thus reduces your body's resistance to electric current. This can increase the amount of current that flows through your body and can result in serious injury or death.

Additionally, electrical appliances that are not specifically designed for use in wet environments may not be insulated properly, which can increase the risk of electrical shock. Water can also damage the internal components of electrical appliances, leading to a malfunction that can cause an electrical shock.

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student does an experiment to measure the electrical resistance of a piece of material. The resistance is found to be equal to 236092. The student's lab partner then measures the electrical resistance of the same material and gets a value of 251092 for the electrical resistance. What is the percent difference between these two measurements?

Answers

The percent difference between these two measurements is 6.36%.

The resistance found by an experiment is equal to 236092 and 251092.                     The percent difference between the two resistance can be calculated by taking the difference between the two values, 251092 - 236092 = 15000, and then dividing by the original value, 236092, and multiplying by 100. The result is 6.36%, which is the percent difference between the two measurements.

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is a Joule the same as a Kelvin?

Answers

No,because a Kevin is 7.242971666663E+22 times Smaller than a Joule.

Answer:

no

Explanation:

joule is the si unit of work and kelvin is temperature

plz make me brainliest

List 3 ways that the asthenosphere is different from the lithosphere:​

Answers

Lithosphere: Lies beneath the atmosphere and above the asthenosphere


Has a lower density than the asthenosphere

Allows for conductive heat transfer


Asthenosphere: Asthenosphere is denser than the lithosphere


Allows for advective heat transfer

In your own words explain why the thickness and length of a wire could effect the flow of electrons​

Answers

Answer:

(you can use my exact words) The length and thickness would make it so that the electrons move differently than they would a shorter and thinner wire because with the wire being longer the electrons would have a longer trip and with the wire being thicker the electrons would be more spread out and move be able to move more freely

Water flows steadily at a rate of 0.020f/s through the 0.75 -in-diameter galvanized iron pipe system shown below. The tee (branch flow) is threaded, the elbow or 90 ∘
smooth bend is threaded, and the reducer has a loss coefficient of 0.15 . The kinematic viscosity of water is 1.21(10) −5
f/s. Your boss suggests that friction losses in the straight pipe sections are negligible compared to losses in the threaded elbows and fittings of the system. Do you agree or disagree with your boss? Support your answer with appropriate calculations. What are the major and minor losses?

Answers

Water flows steadily at a rate of 0.020f/s through the 0.75 -in-diameter galvanized iron pipe system shown below. The tee (branch flow) is threaded, the elbow or 90 ∘ smooth bend is threaded, and the reducer has a loss coefficient of 0.15 . The kinematic viscosity of water is 1.21(10) −5 f/s. The major losses in the system are greater than the minor losses, and the boss's assumption that friction losses in the straight pipe sections are negligible compared to losses in the fittings is reasonable.

To determine whether friction losses in the straight pipe sections are negligible compared to losses in the fittings, we need to calculate the friction factor and the friction losses in the straight pipe sections and compare them to the losses in the fittings.

The Reynolds number for the flow can be calculated as

Re = (ρVD)/μ

Where ρ is the density of water, V is the velocity of water, D is the diameter of the pipe, and μ is the kinematic viscosity of water.

Substituting the given values, we get

Re = (1000 kg/\(m^{3}\))(0.020 m/s)(0.01905 m)/(1.21 x \(10^{-5}\) \(m^{2}\)/s) = 3167.77

Since the flow is turbulent (Re > 4000), we can use the Colebrook equation to calculate the friction factor

1/\(\sqrt{f}\) = -2.0log10((0.00015/3.7)(0.75/0.01905) + 2.51/(Re*\(\sqrt{f}\) )

We can solve for f using an iterative numerical method, such as the Newton-Raphson method. For this problem, the solution is f = 0.0188.

The friction losses in the straight pipe sections can be calculated using the Darcy-Weisbach equation

hf = f(L/D)*(\(V^{2}\)/2g)

Where L is the length of the pipe section, D is the diameter of the pipe, and g is the acceleration due to gravity.

Assuming negligible losses in the straight pipe sections, we can set hf to zero and solve for the length of pipe required to have negligible losses

0 = f(L/D)*(\(V^{2}\)/2g)

L/D = 0

This means that any length of straight pipe will have negligible losses compared to the losses in the fittings.

The major losses in the system are due to the friction losses in the fittings, which can be calculated using the following equation

hf = K*(\(V^{2}\)/2g)

Where K is the loss coefficient of the fitting.

The minor losses in the system are due to changes in velocity and direction of flow, and can be calculated using the following equation

hf = K*(\(V^{2}\)/2g)

Where K is the loss coefficient of the minor loss.

For the given system, the major losses are due to the threaded tee and elbow, and can be calculated as

hftee = 1*(\(V^{2}\)/2g)

hfelbow = 1.5*(\(V^{2}\)/2g)

Where the loss coefficients for the threaded tee and elbow are assumed to be 1 and 1.5, respectively.

The minor losses are due to the smooth reducer and can be calculated as

hfreducer = 0.5*(\(V^{2}\)/2g)

Where the loss coefficient for the smooth reducer is assumed to be 0.5.

Therefore, the major losses in the system are greater than the minor losses, and the boss's assumption that friction losses in the straight pipe sections are negligible compared to losses in the fittings is reasonable.

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The amount of kinetic energy in a moving object depends on its mass and what

Answers

Answer:

Kinetic energy depends on mass and speed (or magnitude of velocity).

K.E.  = 1/2 M S² or The amount of kinetic energy of a moving object has dependence on its  mass and its velocity.

Explanation: They are both right for a certain question

The kinetic energy of a moving object depends on its mass and velocity. The higher the velocity higher will be the kinetic energy. Mass also have the similar effect.

What is kinetic energy?

Kinetic energy of an object is the energy generated by virtue of its motion. When particles of an  object acquire much energy to overcome the intermolecular force, they gain kinetic energy to move apart.

Kinetic energy is related to the mass and velocity of the moving object. The expression relating kinetic energy with these parameters is written below:

Ke = 1/2 mv².

As per the relation, the kinetic energy of an object increases with an increase in mass or velocity or both. Hence, massive objects with greater velocity is having greater kinetic energy.

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Is -20 m/s slower than +10 m/s? Explain.

Answers

Answer:

yes

Explanation:

because -20m/s means decrease in acceleration and Time , why 10m/s means increase in acceleration and Time

Can someone tell me what all these mean in pe pls I’m confused on what they mean all of them

Can someone tell me what all these mean in pe pls Im confused on what they mean all of them

Answers

beginning: the start of the game or practice middle movements: in between games and practice ending: the end of games and practices imitating: making the opponents feel like youre coping them just to throw them off leading: being the person who is in charge following: guarding someone from the ball mirroring: following someone and blocking then from scoring on the offense team

Which of the following is a measurement of acceleration?
O 33 km/h^2
O 20 m/s
O 300 m/s north
O 780 m/s^2 north

Answers

Answer:

D

Explanation:

i did that yesterday and your welcome homie b

calculate the drift velocity of electrons in a 12-gauge copper wire (which has a diameter of 2.053 mm) carrying a 20.0-a current, given that there is one free electron per copper atom. (household wiring often contains 12-gauge copper wire, and the maximum current allowed in such wire is usually 20 a.)

Answers

The drift velocity of electron is 4.54 * 10⁻⁴ m/s.

Given that, Density of copper is 8.8* 10³ kg/m³

Charge of an electron is 1.6* 10⁻¹⁹ C

For the density of copper, the number of free electrons n can be calculated by

n = number of electrons per kg * ρ

⇒ (9.4776* 10²⁴ ) (8.8 * 10³ kg/ 1 m³) = 8.314 * 10²⁸ electrons per m³

Diameter of the wire is given as 2.053 mm

Let us calculate A for the provided diameter of wire

A = π * (d/2)² = π * (2.053 /2)² = 3.310* 10⁻⁶ m²

Given, I = 20 A

We know the expression for drift velocity as

Vd = I /(n* A* e) = 20 / (8.314 * 10²⁸ * 3.310* 10⁻⁶ * 1.6* 10⁻¹⁹) = 20 / (4.403 * 10⁴) = 4.54 * 10⁻⁴ m/s

Thus, the drift velocity of electron is 4.54 * 10⁻⁴ m/s.

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A 100kg crate slides along a floor with a starting velocity of 21ms If the force due to friction is 8N how long will it take for the box to come to rest? Show your work!

Answers

A 100kg crate slides along a floor with a starting velocity of 21 m/s. If the force due to friction is 8N, then, it will take 262.5 s for the box to come to rest.

We'll begin by calculating the declaration of the box. This can be obtained as follow:

Force (F) = –8 N (opposition)

Mass (m) = 100 Kg

Deceleration (a) =?

F = ma

–8 = 100 × a

Divide both side by 1000

\(a = \frac{-8}{100}\)

a = –0.08 ms¯²

Therefore, the deceleration of the box is –0.08 ms¯²

Finally, we shall determine the time taken for the box to come to rest. This can be obtained as follow:

Deceleration (a) = –0.08 ms¯²

Initial velocity (u) = 21 ms¯¹

Final velocity (v) = 0 ms¯¹

Time (t) =.?

v = u + at

0 = 21 + (–0.08×t)

0 = 21 – 0.08t

Collect like terms

0 – 21 = –0.08t

–21 = –0.08t

Divide both side by –0.08

\(t = \frac{-21}{-0.08}\\\\\)

t = 262.5 s

Therefore, it will take 262.5 s for the box to come to rest.

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What is the net torque on the pulley about the axle?

Answers

The net torque on the pulley about the axle would be -0.20 Nm.

What is net torque?

Torque is defined as a twisting or turning force that causes rotation around an axis, which can be a centre of mass or a fixed point. Torque can also be defined as a rotating object's ability to overcome turning resistance, such as a gear or a shaft.

In most cases, it is expressed in pounds per foot or newtons per metre. Torque is frequently confused with work, which is defined as force applied across a distance. Torsion (twisting) is, however, an essential component of the definition of torque.

Torque and work are both mechanical expressions of energy. Torque is a force that allows cars to smoke brake burns and accelerate quickly from a slow speed.

The net torque on the pulley well about axle is the torque due to the 30 N force plus the torque due to 20 N force:

T=(30 N)r₁ sinθ₁+(20 N)r₂ sinθ₂

= (30 N)(0.02 m)sin(-90°)+(20 N) (0.02 m)sin(90°)

=(-0.60Nm)+(0.40 Nm)

=-0.20 N m

Thus, The net torque on the pulley about the axle would be -0.20 Nm.

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Topics such as leadership, teams, or motivation are considered to be on the "industrial" side of I/O psychology. True or False?

Answers

The given statement " Topic such as leadership, teams, or motivation are considered to be on the industrial side of I/O psychology" is true

Leadership, teams, and motivation are considered to be on the "industrial" side of I/O (Industrial-Organizational) psychology. Industrial psychology focuses on the individual worker and their job performance, while organizational psychology focuses on the interactions between individuals and groups within an organization.

Leadership research in I/O psychology examines the traits, behaviors, and styles of effective leaders and how they impact employee performance and satisfaction. Team research explores how groups of employees work together, communicate, and solve problems to achieve shared goals

Topics such as leadership, teams, and motivation are all concerned with improving organizational effectiveness, making them part of the organizational side of I/O psychology.

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Improperly installed air conditioners can occasionally fall from apartment windows down onto the road below.  How long does a pedestrian have to get out of the way of an air conditioner falling eight stories [24m] hello I just need help idea my vi vf t d a and I am not certain if it is a horizontal question or not

Answers

Given data:

* The distance traveled by the air conditioner is,

\(d=24\text{ m}\)

Solution:

As the air conditioner is falling freely under the action of gravity.

Thus, the acceleration of the air conditioner is equal to the acceleration due to gravity.

\(\begin{gathered} a=g \\ a=9.8ms^{-2} \end{gathered}\)

As the air conditione ris falling itself from the height.

Thus, the initial velocity of the air conditoner is,

\(v_i=0\text{ m/s}\)

By the kinematics equation, the final velocity of the air conditioner is,

\(v^2_f-v^2_i=2ad\)

Substituting the known values,

\(\begin{gathered} v^2_f-0=2\times9.8\times24 \\ v^2_f=470.4 \\ v_f=21.69\text{ m/s} \end{gathered}\)

Thus, the final velocity of the air conditioner is 21.69 m/s.

By the kinematics equation, the time taken by the air conditioner,

\(v_f-v_i=at\)

where t is the time taken by the air conditioner to reach the ground,

Substituting the known values,

\(\begin{gathered} 21.69-0=9.8t \\ t=\frac{21,69}{9.8} \\ t=2.21\text{ s} \end{gathered}\)

Thus, the time taken by the air conditioner ot reach the ground is 2.21 seconds.

if instead of water, we fill the semicircular disk with a liquid which has an index of refraction less than water, what will happen to the critical angle?

Answers

If instead of water, the semicircular disk is filled with a liquid which has an index of refraction less than water, the critical angle will be greater than that of water.

sin C = 1 / μ

C = Critical angle

μ = Refractive index

C ∝ 1 / μ

Critical angle is inversely proportional to Refractive index. As index of refraction decreases, the critical angle increases.

Critical angle is the value of incident angle when the incident ray and refracted ray are perpendicular to each other. The refractive index of water is 1.33. Refractive index has no unit.

Therefore, the critical angle will be greater than that of water.

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Identify the materials that are made from nonmetallic resources. Choose one or more: A. granite countertops B. electrical wire C. nuts and bolts D. concrete E. drywall

Answers

Answer:

D. Concrete & E. Drywall

Explanation:

With a light shone upon the materials, Concrete and Drywall neither have a metallic sheen.

The materials that are made from non-metallic resources are granite countertops, concrete, and drywall. Hence, the correct options are A, D, and E.

Non-metallic materials are materials that lack magnetic properties like good electrical conductivity and thermal conductivity. They lack the properties like luster, rigor, and malleability. These materials are essential for many industries and are used for industrial purposes.

Non-metallic minerals do not have any metal substance in them. There is no new product is formed by the process of melting of non-magnetic materials. They do not have any shine or luster and they can break down easily. Eg: sand, gravel, etc.

From the given,

The materials that are made from non-metallic resources are Granite countertops, concrete, and drywall.

Hence, the ideal solutions are options A, D, and E.

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the velocity of a wave with a wavelength of 4.7000 m and frequency of 34.00 hz

Answers

The answer is 253.8 m/s

A brick with a mass of 1 kg is lifted to the top of a 4 m high roof. It slips off the roof and falls to the ground. Calculate the gravitational potential energy of the brick at the top of the roof and on the ground once it has fallen.

Answers

The magnitude of potential energy at the top will be 39.2 J and it will be zero on ground because kinetic energy is maximum.

Gravitational Potential Energy

Gravitational potential energy of an object is the product of its mass and the height attained under the influence of acceleration due to gravity.

Given that a brick with a mass of 1 kg is lifted to the top of a 4 m high roof. It slips off the roof and falls to the ground.

The parameters involved are

m = 1 kgh = 4 mg = 9.8 m/s²

The gravitational potential energy of the brick at the top of the roof will be;

GPE = mgh

GPE = 1 × 9.8 × 4

GPE = 39.2 J

The gravitational potential energy of the brick on the ground will be zero because all the potential energy of the brick must have been converted to kinetic energy once it has fallen.

Therefore, the gravitational potential energy of the brick at the top of the roof will be 39.2 J and on the ground will be zero.

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A delivery truck travels 21 blocks north, 15 blocks east, and 27 blocks south.

Part A

What is its final displacement from the origin (magnitude)? Assume the blocks are equal length. Express your answer as an integer.

Part B

What is its final displacement from the origin (direction)? Express your answer using three significant figures.

Answers

Part A
Here, we have to find out the final displacement from the origin. In order to find the displacement, we have to find out the net distance travelled by the delivery truck.

First we will find the total distance covered in the north and south direction:21 blocks north, 27 blocks southSo, the net distance travelled in north-south direction = (21-27) blocks = -6 blocksNow, we will find the total distance covered in the east and west direction: 15 blocks east.

So, the net distance travelled in east-west direction = 15 blocks Net distance travelled = √(6² + 15²) ≈ 16 blocks. So, the final displacement from the origin (magnitude) is 16 blocks.

Part B

To find the final displacement from the origin (direction), we have to find the direction of the displacement. Here, the delivery truck travels 21 blocks north, 15 blocks east, and 27 blocks south.

So, the displacement vector has two components, i.e. one in north-south direction and another in east-west direction. Net displacement in east-west direction = 15 blocksAnd, net displacement in north-south direction = -6 blocks

Therefore, the angle of the displacement vector with the east direction can be found as shown below:θ = tan-1((-6)/15)≈ -22.6°The angle is negative because the vector is in the opposite direction to the east direction. Therefore, the final displacement from the origin (direction) is 23° west of the north direction (approximate to three significant figures).

Magnitude : The simple definition of magnitude is "distance or quantity." In the sense of motion, it depicts the absolute or relative direction or size of an object's movement. It is used to convey something's size or scope. In material science, extent by and large alludes to distance or amount.

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Maria and Dimitra are two track and field athletes and they run at speeds u=18km/h and u=6 km/hrespectively. Which of the two athletes runs faster?​

Answers

If we observe both athletes speed's , Maria runs faster than Dimitra

What is speed?

The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

We compare the athletes' speeds to see who runs faster. While Dimitra moves at a speed of 6 km/h, Maria moves at 18 km/h.

We can infer that Maria runs faster than Dimitra since her speed (18 km/h) is higher than his (6 km/h).

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An impulse of 20,000 N*s is applied to a car, bringing it to a stop in 0.17 seconds. What force was applied to the car?

Answers

F =

t = 0.17 s

Impulse (J) = 20,000 N

J = F x t

F = J / t = 20,000 Ns / 0.17 s = 117,647.0588 N

Joe and tim have the same mass. Tim stands on a desk that is very high in the air, while Joe stays on the ground. Who had higher potential energy?

Answers

Answer:

Tim has a higher potential energy than Joe.

Explanation:

The higher an object or an organism is, the more potential energy it has

2. The timing mechanism in a grandfather's clock is based on the principles of a simple
pendulum. If your clock is gaining time (running fast) what should you do to get it running
more accurately?

Answers

To get a grandfather clock running more accurately, if it is gaining time, you should adjust the length of the pendulum.

How to adjust the length of the pendulum?

This can typically be done by moving the pendulum bob up or down the pendulum rod. A shorter pendulum will cause the clock to run faster, while a longer pendulum will cause it to run slower.

It is important to make small adjustments and wait for the clock to stabilize before making further adjustments. It's also recommended to consult the clock's manual for instructions on how to adjust the pendulum length.

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Find the work done by a girl who runs a stair case of 20 steps each 8.0cm at a mass of 50 kg

Answers

the work done is:

Work = (Mass × Acceleration due to gravity) × (Number of steps × Height of each step).

The work done by a girl who runs a stair case of 20 steps each 8.0cm at a mass of 50 kg can be calculated using the formula for work, which is:

Work = Force × DisplacementIn this case, the force is the weight of the girl, which is equal to her mass multiplied by the acceleration due to gravity.

The displacement is the total height of the staircase, which is equal to the number of steps multiplied by the height of each step. So, the work done is:

Work = (Mass × Acceleration due to gravity) × (Number of steps × Height of each step)

Work = (50 kg × 9.8 m/s²) × (20 × 0.08 m)Work = 784 N × 1.6 mWork = 1254.4 JTherefore, the work done by the girl is 1254.4 J.

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