2. in an amusement-park ride, cars rolling along at high speed suddenly head up a long, straight ramp. they roll up the ramp, reverse direction at the highest point, then roll backward back down the ramp. in each of the following segments of the motion, which way does the acceleration vector point? a. as the cars roll up the ramp. b. at the highest point on the ramp. c. as the cars roll back down the ramp

Answers

Answer 1

The acceleration is going to be down the ramp as the cars roll up it and it's the same direction. In all 3 cases.

What is acceleration ?

Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.

According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes :

The magnitude of the net resulting force is directly proportional to the net balance of all external forces acting on that object.Depending on the materials used to create it, an object's mass is inversely related to its magnitude.

A linear acceleration is the acceleration of the car in the direction it is moving, and it causes the passengers to feel a force pushing them back into their seats.

The acceleration that is used when changing direction is referred to as radial acceleration, and the reaction that the passengers feel is a centrifugal force.

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Related Questions

water flows from the pipe shown in the figure with a speed of 8.0 m/s what is the water pressure as it exits into the air? what is the height h of the standing column of water?

Answers

The atmosphere supports a column of mercury with a height of 760 mm. Supports a 32 m high water column. And, of course, that's why we fill the barometer with mercury instead of water or alcohol.

The vapor pressure of mercury is also minimal. Therefore, the pressure at the exit point is equal to atmospheric pressure. This pressure is therefore equal to 10 to the power of 5 times 1.1. The base area of ​​this water cube is 12" x 12" = 144 square inches. So, the pressure at the bottom of the water cube is 62.4 pounds / 144 square inches = 0.433 pounds per square inch (psi). The RCC column minimum size is 9" x 9" and incorporates four 12mm bars steel stiffeners and cleats of 8mm steel rings spaced 150mm center to center.

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Which statements explain current theories about dark energy and dark matter? Check all that apply. Space that appears empty actually contains dark energy and dark matter. Dark matter does not emit electromagnetic radiation. Scientists believe dark energy will cause the universe to collapse inward to a single point. Scientists theorize that dark energy is causing the expansion of the universe to accelerate. Dark matter includes all of the dust, ice, and debris that scientists observe in black holes.

Answers

The correct statements which describes current theories about dark energy and dark matter among the choices above are given below:

Space that appears empty actually contains dark energy and dark matter.Dark matter does not emit electromagnetic radiation.Scientists theorize that dark energy is causing the expansion of the universe to accelerate.

The answers are options a, b, and d.

What meant by dark energy ?

Dark energy refers to that energy which acts against gravity, thereby resulting in the expansion of the universe. It's major constituent is current characterized with vacuum fluctuation. It is on this premise that dark energy was theorized to be causing the expansion of the universe to accelerate and itself including dark matter is filled in empty space.

So therefore, from the simple note above, it can be deduced that this type of energy does not produce electromagnetic radiation.

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Answer:

a b d

Explanation:

Which statements explain current theories about dark energy and dark matter? Check all that apply.

Space that appears empty actually contains dark energy and dark matter.

Dark matter does not emit electromagnetic radiation.

Scientists believe dark energy will cause the universe to collapse inward to a single point.

Scientists theorize that dark energy is causing the expansion of the universe to accelerate.

Dark matter includes all of the dust, ice, and debris that scientists observe in black holes.

A weightlifter lifts a 32 kg barbell a distance of 0.1 m in 0.83 s. How much power is demonstrated by the lift?

Answers

To find power, you have to find work first.

Given :
F = 32kg —> 313.6 N
d = 0.1m
Work = Fd
= (313.6)(0.1)
= 31.36

P=W/t
=(31.36)/(0.83)
≈ 38 W

Answer:

Explanation:

Work:

A = m·g·h = 32·9.8·0.1 = 31.36 L

Power:

N = A / t = 31.36 / 0.83 ≈ 38 W

Your car is going to make a 400 meter run. Your car will start at rest and accelerate at a rate of 5.89 m/s/s until it reaches top speed. This process will last for 5.83 seconds. The remainder of the run will take place at top speed. Predict the top speed and the total time of the run.

Answers

The top speed of the car is 34.34 m/s and the total time of the run is 11.65 seconds.

What is the top speed of the car?

The top speed of the car is the final or maximum speed of the car and can be determined by applying the following kinematic equation.

v = u + at

where;

v is the final speed of the car or top speed of the caru is the initial speed of the cara is the acceleration of the cart is the time of motion of the car

The initial velocity of the car = 0, since the car started from rest.

The final equation for the top speed of the car becomes;

v = 0 + at

v = at

The given parameters include the following;

v = 5.89 m/s²  x   5.83 s

v = 34.34 m/s

The total time of the run is calculated as follows;

s = ut + ¹/₂at²

where;

u is the initial velocity = 0t is the total time of the runs is the total distance

s = 0 + ¹/₂at²

s = ¹/₂at²

t = √(2s/a)

t = √(2 x 400 / 5.89)

t = 11.65 seconds

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how much work is done when a 125 g tomato is lifted 13.6 m ? express your answer with the appropriate units.

Answers

Work done when a 125 g tomato is lifted 13.6 m is calculated as 16.66 J .

What do you understand by work done?

The product of the component of force in the direction of the displacement and the magnitude is called work done by force and energy is defined as the ability to do work.

Work can be calculated by multiplying force with distance in the direction of force , and can be written as :

W = F × d

Given m= 125g = 0.125 kg

h= 13.6 m

W= P E

= m *g *h

= 0.125 * 9.8 * 13.6

Work done = 16.66 J

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The pressure of the gas is 112 kPa when its temperature is 35 °C.
The gas is heated to 340°C using some different apparatus.
Calculate the pressure of the gas when its temperature is 340 °C.
Assume the gas has a constant volume.
Pressure =
kPa

Answers

Answer:

Pressure = 223 kPa

Explanation:

Given:

p₁ = 112 kPa = 112 000 Pa

t₁ = 35°C;    T₁ = 273 + 35 = 308 Pa

t₂ = 340°C;    T₂ = 273 + 35 = 613 Pa

V - const

___________

p₂ - ?

Charles' law:

p₁ / T₁ = p₂ / T₂

The pressure:

p₂ = p₁·T₂ / T₁

p₂ = 112 000·613 / 308 ≈ 223 000 Pa   or  p₂ = 223 kPa

a rocket with a mass of 4kg accelerates up from the ground at a rate of 20ft m/s^2, what is the drag force acting on the rocket if the thrust of the rockets is 150n

Answers

The drag force acting on the rocket is 80N.

Give an explanation of drag force?

The divergence in velocity between the fluid and the item, also known as drag, exerts a force on it. Between the liquid and the solid object, there should be motion. Drag is absent in the absence of motion.

The air molecules are more compressed (pushed together) on the surfaces that are facing the front while being more dispersed (spread out) on the surfaces facing the back. Turbulent flow, which occurs when air layers split from the surface and start to swirl, is what causes this.

The drag force acting on the rocket F = ma

Given,

m = 4kg, a = 20ftm/s²

Substituting m and a values in the above formula,

The drag force acting on the rocket F = 4×20

The drag force acting on the rocket F = 80N.

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a kilogram of metal a has a volume 20% larger than a kilogram of metal b. which metal has the smaller density?

Answers

Mental A has the smaller density. An object's density is defined as its mass divided by its volume.. Density is commonly expressed in grams per cubic centimeter (g/cm3).

What is density?

Density is the amount of "stuff" in a given amount of space. A block of the heavier element lead (Pb), for example, will be denser than a block of the softer, lighter element gold (Au). A Styrofoam block is less dense than a brick. It is expressed in terms of mass per unit volume.

An object's density is defined as its mass divided by its volume. Density is commonly expressed in grams per cubic centimeter (g/cm3). Remember that grams are a unit of mass and cubic centimeters are a unit of volume (the same volume as 1 milliliter).

The SI density unit is m3kg. Volume Mass Density = m3kg

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derive from one of the laws of motion the relation between the momentum produced in a body and the force applied on the body​

Answers

Answer:

The fact that change in moment is equal to force times duration can be derived from Newton's Second Law of Motion (assuming that the net force on the object is constant.)

Explanation:

Let [tex]m[/tex] denote the mass of an object. Let [tex]\Delta v[/tex] denote the change in the velocity of this object. The change in momentum of this object will be [tex]\Delta p = m\, \Delta v[/tex].

Let [tex]F_{\text{net}}[/tex] denote the net force (resultant force) on the object. Let [tex]a[/tex] denote the acceleration of this object. By the law of motion, [tex]F_{\text{net}} = m\, a[/tex], or equivalently, [tex]a = (F_{\text{net}} / m)[/tex].

Assume that this net force is constant and is exerted on this object over a period of [tex]\Delta t[/tex]. With an acceleration of [tex]a = (F_{\text{net}} / m)[/tex], the velocity of this object would have changed by:

[tex]\begin{aligned}\Delta v &= a\, \Delta t \\ &= \left(\frac{F_{\text{net}}}{m}\right)\, (\Delta t) \\ &= \frac{F_{\text{net}}\, \Delta t}{m}\end{aligned}[/tex].

Multiply both sides of this equation by the mass [tex]m[/tex] of the object to obtain:

[tex]m\, \Delta v = F_{\text{net}}\, \Delta t[/tex].

Note that [tex]m\, \Delta v[/tex] is equal to the change in momentum ([tex]\Delta p = m\, \Delta v[/tex].) Therefore, if the net force [tex]F_{\text{net}}[/tex] on the object is constant, the change in the momentum [tex]\Delta p[/tex] over time period [tex]\Delta t[/tex] will be equal to [tex]F_{\text{net}}\, \Delta t[/tex] (net impulse on the object.)

blood is flowing through an artery of radius 2.0 mm at a rate of 33.0 cm/s. determine the flow rate and the volume that passes through the artery in a period of 20 s.

Answers

The flow rate and the volume that passes through the artery in a period of 20 s is Q= 4.1448cm³/s and V= 82.896cm³.

How is a flow rate calculated?

We must define both the volume V and the instant in time it is flowing past represented by t in order to determine the Flow Rate denoted by Q, which is equal to V/t. In addition, the relationship between flow rate and velocity can be seen in the equation Q = Av, where A is the flow's cross-sectional area and v is its average velocity.

We must utilize the equation Q=V x A, where Q is the flow rate, V is the velocity, and A is the area, to determine the flow rate.

We must apply this formula to determine the volume. V = Q x t, where Q is the flow rate, t is the time, and V is the volume.

Converting 2mm to cm is the first thing we must accomplish.

2mm x 0.1= 0.2 cm

Currently, we utilize the calculation Q=V x A, but we must keep in mind that the area of an artery is circular, therefore we swap out A with the formula π r2.

Q= 33 cm/s x 3,14x (0.2cm)²

Q= 33cm/s x 0.1256cm²/s

Q= 4.1448cm³/s.

There is a flow at 4.1448cm³/s.

Now, using the flow rate (Q), we may

V=  4.1448 cm³/s x 20s

V= 82.896cm³.

82.896cm3 of fluid travels through the artery every 20 seconds.

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the triceps muscle in the back of the upper arm extends the forearm. this muscle in a professional boxer exerts a force of 1495 n with an effective perpendicular lever arm of 2.10 cm , producing an angular acceleration of the forearm of 125.0 rad / s2 . what is the moment of inertia of the boxer's forearm?

Answers

The moment of inertia of the boxer's forearm that has an angular acceleration of 125.0 rad / s² is 0.25 kg m²

τ = F * ⊥d

τ = Torque

F = Force

⊥d = Perpendicular distance

F = 1495 N

⊥d = 2.1 cm = 0.021 m

τ = 1495 * 0.021

τ = 31.395 N m

τ = I α

I = Moment of inertia

α = Angular acceleration

α = 125 rad / s²

I = τ / α

I = 31.395 / 125

I = 0.25 kg m²

Therefore, the moment of inertia of the boxer's forearm is 0.25 kg m²

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a string is under a tension of 760.0 n. a 1.7 m length of the string has a mass of 4.8 grams. what is the speed of a transverse wave of wavelength 0.50 m in this string? what is the frequency of the wave?

Answers

The number of waves that pass by each second is the frequency of a wave, which is expressed in Hertz (Hz). For instance, a sound wave may have a frequency of 450 Hz.

Explain about the frequency of wave?

The wave frequency is the quantity of waves that pass a certain location in a predetermined amount of time. The SI unit for wave frequency is the hertz (Hz), and 1 hertz is equal to 1 wave passing through a fixed point in 1 second. When two waves of equal amplitude and frequency are compared, the higher frequency wave has greater energy.

Divide the wave's velocity by its wavelength to determine its frequency. The unit for frequency is Hertz (Hz), so use that while writing your response. The frequency will be the inverse of the time, or 1 divided by T, if you need to determine it from the amount of time it takes for a wave cycle to complete, or T.

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what frequency fapproach is heard by a passenger on a train moving at a speed of 18.0 m/s relative to the ground in a direction opposite to the first train and approaching it? express your answer in hertz.

Answers

A passenger on a train traveling at a ground speed of 18.0 m/s in the opposite direction of the first train can hear the frequency approach at 302.05 Hz.

Which does frequency mean?

The number of waves that pass a fixed place in a unit of time is referred to as frequency in physics. It also indicates how many vibrations or cycles a body in periodic motion makes in a given amount of time.

Speed is 18.0 m/s.

Consider a train moving through still air at a speed of 30.0 m/s. The train whistle produces a note with a 262 Hz frequency.

We must determine the periodicity.

Using the frequency formula

f' = f(v + [tex]v_{p}[/tex]/v - [tex]v_{s}[/tex])

Fill out the formula with the value,

f' = 262(3441+18/344-30)

f' = 302.05Hz

Thus, 302.05 Hz is the frequency.

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consider a cube with a mass of 500 kg and sides of 50 cm. calculate the pressure on the floor from such a cube.

Answers

The pressure applied by the cube of mass 500 kg and side 50 cm on the floor is 200000 Pascal

The mass of the cube is 500 kg and the side of the cube is 50 cm.

Converting the side of the cube from cm to m.

The side of the cube is 0.5 m.

The pressure applied by any body is given by the force applied by the body divided by the area on which the force is applied.

Pressure = force/area

The force applied by the cube will be equal to the weight of the cube,

The weight of the cube is 5000 Newton.

The area of only one side of the cube is in contact with the floor so the area is,

Area = 0.025 m

Putting values,

P = 5000/0.025

P = 200000 Pascal.

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a(n) 54.8 kg astronaut becomes separated from the shuttle, while on a space walk. she finds herself 45.3 m away from the shuttle and moving with zero speed relative to the shuttle. she has a(n) 0.767 kg camera in her hand and decides to get back to the shuttle by throwing the camera at a speed of 12 m/s in the direction away from the shuttle. how long will it take for her to reach the shuttle? answer in minutes.

Answers

The overall momentum of a system is constant.

Hence, The time taken to get to the shuttle is  4.49  min.

What is the conservation of momentum ?The conservation of linear momentum is a general law of physics which states that the overall momentum of a system is constant and that the quantity called momentum which characterizes motion never changes in an isolated collection of objects.

according to  the linear momentum conservation theorem, we have:

M1 V1 + M2 V2 =M1 V[tex]_0[/tex]1 + M2 V[tex]_0[/tex]2.

the initial velocity is Zero

then,

M1 V1 = - M2 V2

V1 = ( - M2 V2)/ M1

V1 = -  [tex]\frac{0.767 *12}{54.8}[/tex] = - 0.168 m/s

That is 0.168 m/s in the opposite direction of the camera.

the time taken to get to the shuttle is given by:

t = d/v

t = [tex]\frac{45.3}{0.168}[/tex] = 269.64 s

[tex]t_{min} =\frac{269.64}{60}[/tex] = 4.49 min.

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what is the heaviest the book he can hold vertically before it slips out of his fingers? the coefficient of static friction between his fingers and the book cover is 0.88

Answers

Mass of the heaviest book is 0.733 kg.

Heaviest book has weight

= (6 + 6) * 0.6 N

= 7.2 N

If m = mass of the heaviest book in kg

m = 7.2/9.81 kg

   = 0.733 kg.

Children often bring a well-established "life-view" of friction with them because of their experiences with slippery surfaces like frozen ponds (low friction) and "gripping" surfaces like deep pile carpets (high friction) and the effects they have on movement. This way of existence needs to be expanded and understood in the perspective of science.

The force that modifies movement as a result of surface/surface interaction is known scientifically as friction (all changes of movement require the action of a force). When using diagrams to portray forces in action, the direction of the frictional force should be depicted as being opposed to that of the movement.

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a truck driver slams on the brakes and skids to a stop through a displacement if the truck had double the mass find the truck's skidding distance in terms of

Answers

The braking distance does not change. Because both the kinetic energy and the frictional force are doubled.

We found that the stopping distance of a car is proportional to its kinetic energy. Energy is dissipated as heat in the brakes tires and road surface. More energy required means more stopping distance. This explains why the braking distance increases in proportion to the square of the car's speed. The kinetic energy of a car is equal to the braking force multiplied by the stopping distance.

Braking distance also depends on car speed car mass brake and tire wear and road surface. A fast heavy car with worn tires and brakes will have a longer stopping distance on wet or icy roads. Friction forces act in the opposite direction of movement, making it harder to move slowing the car down the ramp and slowing it down, thus reducing the distance covered.

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How can I figure out the area of something in physics?

Answers

Area in physics can be found by division of the area into simple figures such as triangles, rectangles and trapezoids and offsets from a straight line.

How to find area in physics?

Area is a measure of how much space is there inside a shape and calculating the area of a shape or surface can be useful in everyday life.

The amount of surface a two-dimensional shape can cover which is measured in square units is called area and the SI unit of area is the square meter.

Area = length x breadth and  Area = π × radius × radius - formulas can be used for finding area of different quadrilaterals.

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What kind of electronic transitions are responsible for colored light being given off?.

Answers

Answer:

The answer is photons.

four amperes of current exist in the primary coil of a transformer. the voltage across the primary coil is 120 v. what is the power output of the secondary coil?

Answers

480 W  is the power output of the secondary coil.

primary  coil current = ip = 4A

primary coil  voltage = vp = 120v

power out put of secondary coil

p = vi

   = 120v * 4A = 480W.

What is power?

Power is the amount of work completed in a given amount of time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power. Horsepower (hp), which is roughly equivalent to 745.7 watts, is a unit of measurement sometimes used to describe the power of motor vehicles and other devices.

The rate at which work is performed on an object is referred to as its power. Power is a temporal concept. It has to do with how quickly a task gets completed. The power equation is described below.

Power = Time + Work

P = W / t

The standard metric unit for power is a Joule/second, which is defined as the product of the standard metric units of work (the Joule) and time (the second).

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which combination of neurological imaging techniques contains two methods that utilize magnetic imaging?

Answers

MRI and FMRI are the  combination of neurological imaging techniques contains two methods that utilize magnetic imaging.

A magnetic field and radio waves produced by a computer are used in the magnetic resonance imaging (MRI) medical imaging procedure to provide precise images of the organs and tissues inside your body.

Large, magnetized tubes are the common shape of MRI equipment. The magnetic field briefly realigns water molecules in your body as you lie within the MRI machine. To produce cross-sectional MRI pictures, which resemble the slices of a loaf of bread, radio waves induce these aligned atoms to emit tiny signals.

Your doctor can evaluate your organs, tissues, and skeletal system with an MRI without performing any intrusive procedures. It generates detailed images of the body's.

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1 5kg cat is lifted 2 m into the air.how much gpe does it gain?

Answers

Answer:

Potential Energy= mgh = (5)(9.8)(2)= 98.

Using what you have learned about series and parallel circuits, explain how some appliances in your kitchen receive power while others do not. (PLEASE HELPP)

Answers

To learn series and parallel circuits, to know the some appliances in your kitchen receive power while others do not.

What is series circuits?

A series circuit is an easy way for electrons to travel to one or more resistors. Anything that depends on a cell for power is a resistor. A bulb frequently serves as the resistor in a series circuit.

What is parallel circuit?

Branching is used in a parallel circuit so that the current is divided and only a portion of it passes through each branch. In a parallel circuit, the voltage, or potential difference, across each branch is the same, but the currents may differ.

While plugged in, a range of various electronic equipment and appliances, such as televisions, toasters, lamps, and more, can use electricity even when they're off.

Therefore, known the series and parallel circuits, the some appliances receive powers.

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Two students are pushing a broken-down car. One student is pushing with a force of 200 N. If there is 350 N of frictional force acting against them, how hard must the second student push to cause the car to accelerate?

Answers

The second student must push with a force greater than 150 N to cause the car to accelerate.

What is the net force on the car?

The net force on the car is the sum of all the forces acting on the car. The direction of the net force on the car will determine the direction of motion of the car.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

The net force on the car is calculated as follows;

F(net) = F - Ff

ma = F - Ff

where;

a is the acceleration of the carm is the mass of the carF is the applied force on the carFf is the force of friction resisting the motion of the car

For the car to move, sum of the applied forces must be greater than the force of friction.

200 + F > 350

F > 350 - 200

F > 150

Thus, the second student must push with a force greater than 150 N before the car can accelerate.

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a rock is dropped from a 100-m-high cliff. how long does it take to fall (a) the first 50 m and (b) the second 50 m?

Answers

(a) For the first 50 m:

h1 = 0.5 x a x t12

50 m = 0.5 x 9.8 m/s2 x t12

t1 = 3.19 s

Time to fall first 50 m = 3.19 s

(b) For the full 100 m:

h2 = 0.5 x a x t22

100 m = 0.5 x 9.8 m/s2 x t22

t2 = 4.52 s

Time to fall second 50 m = t2 - t1 = 1.33 s

Dropped rocks and other objects gain speed rapidly as they fall. Velocity defines the direction in which a body or object is moving. Velocity is primarily a scalar quantity. Velocity is basically a vector quantity. Rate of change of distance.

If our planet loses gravity for even 5 seconds it means the end of life on Earth as we know it. Gravity pulls objects together. The greater the mass of an object, the stronger its gravitational pull. Any submarine you choose for skydiving should be designed with movement in mind. If the weather is cool on the day of skydiving, you should choose pants that cover the entire leg. We recommend wearing sweatpants or sweatpants.

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PLEASE ASAP HELP, ILL GIVE WHATEVER POINTS I CAN BUT PLEASE HELP ASAP ASAP

Paul was kicking around a soccer ball with his friend Leo the Lion. Paul decided to kick the ball off a 9.63 m tall cliff and lands on the ocean, 8.85 m away from the edge of the cliff.

Th ball is in the air for S._______m/s
The horizontal velocity of the ball as it rolls off the table is_________m/s
The vertical velocity of the ball right before it hits the ground is________m/s
The horizontal velocity of the ball right before it hits the ground is___________m/s
The initial vertical velocity as soon as the ball comes of the cliff is________m/s​

Answers

(1) The ball is in the air for 1.4 seconds.

(2) The horizontal velocity of the ball as it rolls off the table is 6.32 m/s.

(3) The vertical velocity of the ball right before it hits the ground is 13.72 m/s.

(4) The horizontal velocity of the ball right before it hits the ground is 6.32 m/s.

(5) The initial vertical velocity as soon as the ball comes of the cliff is 13.72 m/s​.

What is the time of motion of the ball?

The time of motion of the ball is calculated by applying the following equation.

t = √(2h/g)

where;

h is the height of the cliffg is acceleration due to gravity

t =  √(2h/g)

t = √(2 x 9.63 / 9.8)

t = 1.4 seconds

The horizontal velocity of the ball is calculated as follows;

v = d/t

where;

d is the horizontal distance travelled by the ball = 8.85 m

v = 8.85 m / 1.4 s

v = 6.32 m/s

The vertical velocity of the ball before it hits the ground is calculated as;

vf = vi + gt

vf = 0 + 9.8 x 1.4

vf = 13.72 m/s

The horizontal velocity of the ball right before it hits the ground is calculated as;

the initial velocity of a projectile = final horizontal velocity

vxf = vxi = 6.32 m/s

The initial vertical velocity as soon as the ball comes off the cliff = final vertical velocity = 13.72 m/s

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A 30.0 kg object is falling in air and experiences a force due to air resistance of 50.0 N. What is the net force acting on the object?

Answers

Answer:

250N

Explanation:

weight of object - air resistance= net force

weight=mg

=30×10

=300N

air resistance =50

300-50=250

monochromatic light from a distant source is incident on a slit 0.75 mm wide. on screen 2 m away, the distance from the central maximum of the diffraction pattern to the first minimum is measured to be 1.35 mm. find the wavelength of the light.

Answers

Displacement from the center line for minimum intensity is 1.35 mm , width of the slit  is 0.75 so  Wavelength of the light  is 506.25.

How to find Wavelength of the light?

When a wave is bent by an obstruction whose dimensions are similar to the wavelength, diffraction is observed. We can disregard the effects of extremes because the Fraunhofer diffraction is the most straightforward scenario and the obstacle is a long, narrow slit.

This is a straightforward situation in which we can apply the

Fraunhofer single slit diffraction equation:

y = mλD/a

Where:

y = Displacement from the center line for minimum intensity =  1.35 mm

λ =  wavelength of the light.

D = distance

a = width of the slit = 0.75

m = order number = 1

Solving for λ

λ = y + a/ mD

Changing the information that the issue has provided:

λ = 1.35 * 10^-3 + 0.75 * 10^-3 / 1*2  

=5.0625 *10^-7 = 506.25

so

Wavelength of the light 506.25.

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a boy drops a rock off of a bridge and times its fall into a river. if it takes the rock 10.0 seconds to fall, what is the velocity of the rock when it hits the river?

Answers

The rock's impact velocity with the river is - 98.1 m/s. At the time of impact, the  rock was traveling at a speed of 42.14 m/s.

Find out how fast a rock is moving ?

G = -9.81 m/s2 is the acceleration of gravity close to the earth. Simply multiply the acceleration of gravity by the period of time since the object was released to determine the object's speed (or velocity).

In other words, velocity is equal to -9.81 m/s2 * time, or V = gt.

The rock was traveling at 42.14 m/s when it impacted the ocean.

Then V = -9.81 * 10 = -98.1.

There for,

The rock's impact velocity with the river is -98.1m/s .

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A 0.1 kg ball is kicked from the edge of a cliff so that it attains a launch speed of 20 m/s at an angle of 37 to the horizontal, as shown above. On the axes below, sketch a graph of the vertical component of the ball's velocity as a function of time for the first 3 s of motion.

Answers

The graph of the vertical component of the ball's velocity is in the attachment

What is speed?

Speed is the distance moved per unit time.

What is velocity?

Velocity is the total displacement per unit time of an object.

How to sketch a graph of the vertical component of the ball's velocity as a function of time for the first 3 s of motion?

Since a 0.1 kg ball is kicked from the edge of a cliff so that it attains a launch speed of 20 m/s at an angle of 37 to the horizontal, as shown above. To determine the vertical component of velocity,we use the equation of motion

v = u - gt where

v = final vertical component of velocity, u = initial vertical component of velocity = u'sinФ where u' = initial launch speed = 20m/s and Ф = angle above horizontal = 37°, g = acceleration due to gravity = 9.8 m/s² and t = time

So, substituting the values of the variables into the equation, we have

v = u - gt

v = u'sinФ - gt

v = (20 m/s)sin37° - (9.8 m/s²)t

v = (20 m/s) × 0.6018 - (9.8 m/s²)t

v = 12.04 m/s - (9.8 m/s²)t

So, for the first 3 seconds, we have

for t = 0 s

v = 12.04 m/s - (9.8 m/s²) × 0 s

v = 12.04 m/s - 0 m/s

v = 12.04 m/s

for t = 1 s

v = 12.04 m/s - (9.8 m/s²) × 1 s

v = 12.04 m/s - 9.8 m/s

v = 2.24 m/s

for t = 2 s

v = 12.04 m/s - (9.8 m/s²) × 2 s

v = 12.04 m/s - 19.6 m/s

v = -7.56 m/s

for t = 3 s

v = 12.04 m/s - (9.8 m/s²) × 3 s

v = 12.04 m/s - 29.4 m/s

v = -17.36 m/s

So, we plot the graph of the vertical component of the ball's velocity using the equation v = 12.04 m/s - (9.8 m/s²)t

Find the graph in the attachment

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