Consider a trip to a lake. The sand warms up rapidly (and then burns your feet), while the water remains cool.
Which has the greater specific heat capacity, the sand or water?

Answers

Answer 1
Water has a greater specific heat capacity than sand.

Related Questions

What parts are found in an electric generator? Check all that apply. an armature a battery a permanent magnet an electromagnet brushes slip rings

Answers

Here are a list of items I found.
some brushes
a armature
a permanent magnet
some slip rings

The major parts that are found in the Electric generators are Armature,  Battery,  Permanent magnet, Brushes and Slip rings.

The given problem is based on the concept and fundamentals of Electric generator. An electric generator is a machine which converts the mechanical energy into the electrical energy. Such that these energy is utilized for transmission and distribution over the power lines to domestic and commercial uses.

The major components of an electric generator are as follows:

A statorArmatureCommutatorBrushesSlip ringsBatteryPermanent magnet

Thus, we can conclude that the major parts that are found in the electric generators are Armature,  Battery, Permanent Magnet, Brushes and Slip rings.

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A monochromatic plane electric-field-wave has a peak value 20 V/m. What is the peak value of the Magnetic field?

Answers

Answer:

The peak value of the Magnetic field is 6.67 x 10⁻⁸ T

Explanation:

Given;

peak value of the electric-field, E₀ = 20 V/m

The peak of the magnetic field, B₀ = ?

The peak value of the magnetic field is given by;

B₀ = E₀/C

Where;

C is the speed of light = 3 x 10⁸ m/s

Substitute the givens and solve for B₀

B₀ = E₀ / C

B₀ = (20) / (3 x 10⁸)

B₀ = 6.67 x 10⁻⁸ T

Therefore, the peak value of the Magnetic field is 6.67 x 10⁻⁸ T

B₀ =

In a hydraulic system, a force of 400 N is exerted on a piston with an area of 0.001 m2. The load-bearing piston in the system has an area of 0.2 m^2.

Required:
a. Calculate in kPa the pressure in the hydraulic fluid induced by the applied pressure.
b. What is the magnitude of the force exerted on the load bearing piston by the hydraulic fluid?

Answers

Answer:

Explanation:

Pressure on the hydraulic system is expressed as;

Pressure = Force/Area

Given

Force on the fluid = 400N

Area = 0.001m²

Pressure in the fluid = 400/0.001

Pressure in the fluid = 400,000N/m²

1N/m² = 0.001kPa

400,000N/m² = x

x = 400,000 × 0.001

x = 400kPa

Hence the pressure in kPa is 400kPa

b) Using the formula;

Pa = Pb

Fa/Aa = Fb/Ab

Pa = Fb/Ab

Fb = PaAb

Fb = 400,000(0.2)

Fb = 80,000N

Hence the magnitude of the force exerted on the load bearing piston by the hydraulic fluid is 80,000N

A car traveling 13 m/s to the north collides with a car traveling 19 m/s to the
south. Each car has a mass of 1250 kg. If the system is defined as the two
cars, what is the change in momentum of the system due to the collision?
O A. 16,250 kg-m/s
O B. 0 kg•m/s
O C. 40,000 kg•m/s
D. 23,750 kg•m/s

Answers

Answer: B. 0 kg*m/s

Explanation:

Describe resistance and discuss how it affects current?

Answers

Answer:

Resistance decreases the flow of current in a circuit.

EXPLANATION:

The resistance of an electrical circuit is defined as the opposition to the flow of current in that particular circuit.

From Ohm's law, we know that current flowing  through a wire I =

Here,V is the potential across the two ends of a conductor or wire, and R is the resistance of that wire.

Hence, more is the resistance, the less will be the current flow in the current.

What is the maximum wavelength of incident light that can produce photoelectrons from silver? The work function for silver is Φ=2.93 eV. Tries 0/20 In this experiment, what is the minimal potential needed to fully stop the electrons if the wavelength of the incident light is 321 nm?

Answers

Answer:

4.24nm

0.385eV

Explanation:

Maximum wavelength (λmax) :

λmax = ( hc) /Φ

h = plancks constant = 6.63 * 10^-34

c = speed of light = 3*10^8

1ev = 1.6 * 10^-19

Φ = 2.93eV = 2.93* (1.6*10^-19) = 4.688*10^-19

λmax = [(6.63 * 10^-34) * (3 * 10^8)] / 4.688*10^-19

λmax = 19.89 * 10^-26 / 4.688*10^-19

λmax = 4.242 * 10^-7 m

λmax= 4.24nm

B.)

E = hc / eλ eV

λ = 3.75nm = 3.75 * 10^-7m = 375 *10^-9

E = (6.63 * 10^-34) * (3 * 10^8) / (1.6 * 10^-19) * (375 * 10^-9)

E = 19.89 * 10^-26 / 600 * 10^-28

E = 0.03315 * 10^-26 + 28

E = 0.03315 * 10^2

E = 3.315 eV

Stopping potential : (3.315 eV - 2.93eV) = 0.385eV

Object 1 is undergoing uniform circular motion at a radius of 10 cm. Object 2 is undergoing uniform circular motion at a radius of 0.2 m. If the objects have the same mass and are traveling with the same speed, which object is experiencing the larger centripetal force and why

Answers

Answer:

The first object is experiencing a larger centripetal force because its radius is smaller compared to the second object.

Explanation:

Given;

radius of the first object, r₁ = 10 cm = 0.1 m

radius of the second object, r₂ = 0.2 m

let the mass of the two objects, = m

let the speed of the two objects = v

The centripetal force of the first object is given by;

[tex]F_c_1 = \frac{mv^2}{r_1} \\\\F_c_1 = \frac{mv^2}{0.1}\\\\F_c_1 = 10mv^2[/tex]

The centripetal force of the second object is given by;

[tex]F_c_2 = \frac{mv^2}{r_2} \\\\F_c_2 = \frac{mv^2}{0.2}\\\\F_c_1 = 5mv^2[/tex]

Therefore, the first object is experiencing a larger centripetal force because its radius is smaller compared to the second object.

A 0.964 kg radio-controlled car is driving 4.38 m/s. What is its momentum?

Unit: kg*m/s

Answers

P=mv
P= 0.964 * 4.38
P= 4.222 kg/ms

(20 points) An engineer is tasked with developing a model to study a cylindrical heat exchanger in a steam system. The prototype cylinder is 2.54 cm in diameter and the steam properties are: velocity

Answers

This question is incomplete, the complete question is;

An engineer is tasked with developing a model to study a cylindrical heat exchanger in a steam system. The prototype cylinder is 2.54 cm in diameter and the steam properties are: velocity = 30 m/s; density = 0.6 kg/m³; and absolute viscosity = 1.197 X 10⁻⁵ N-s/m², respectively. The model is going to be tested in a water tunnel where the water temperature is 20°C and the velocity is 3 m/s

a) what is the prototype Reynolds number, based on using the cylinder diameter as the characteristic length?

b) what should be the diameter of the model be to ensure dynamic similitude?

Answer:

a) the prototype Reynolds number is 38195.488

b) 0.01278 m or 1.278 cm should be the diameter of the model be to ensure dynamic similitude

Explanation:

Given that;

1 prototype ; d = 2.54 cm = 0.0254 m, Vp = 30 m/s, Sp = 0.6 kg/m³, Up = 1.197 × 10⁻⁵ N-s/m²

Model{ water at 20°C}; dm = ?, Vm = 3 m/s, Pm = 998.23 kg/m³, Um = 1.002 × 10⁻³ N-s/m²

a) what is the prototype Reynolds number,

to calculate prototype Reynolds number we use the expression;

(Re)p = SpVpdP / Up

we substitute our value

(Re)p =  (0.6 × 30 × 0.0254) / 1.197 × 10⁻⁵

(Re)p = 38195.488

Therefore the prototype Reynolds number is 38195.488

b)

what should be the diameter of the model be to ensure dynamic similitude?

i.e dm = ?

so dynamic similarity [ viscous flow]

(Re)m = (Re)p

[PmVmdm / Um] = [SpVpdP / Up]

we substitute

[998.23 × 3 × dm / 1.002 × 10⁻³] = (0.6 × 30 × 0.0254) / 1.197 × 10⁻⁵

2994.69dm / 1.002 × 10⁻³ = 38195.488

2994.69dm = 38.2718

dm = 38.2718 / 2994.69

dm = 0.01278 m or 1.278 cm

Therefore 0.01278 m or 1.278 cm should be the diameter of the model be to ensure dynamic similitude

a ball falls 0.35m to the floor. it lands 3m from the edge of the table. what was the velocity of the ball before it left the table?

Answers

The ball rolls off the table with speed v from a height of 0.35 m, so that it covers a horizontal distance x with height y at time t of

x = v t

y = 0.35 m - 1/2 g t ²

where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.

Solve for t when y = 0, i.e. the time it takes for the ball to reach the ground:

0 = 0.35 m - 1/2 g t ²

t ² = (0.70 m) / g

t ≈ 0.267 s

Now solve for v given that the ball falls 3 m away from the table:

3 m = v (0.27 s)

v = (3 m) / (0.27 s)

v ≈ 11.2 m/s

A ray diagram shows that an object is placed in front of a plane mirror. What are the characteristics of the image produced by the object? inverted, larger than object, real upright, smaller than object, virtual inverted, same size as object, real upright, same size as object, virtual

Answers

Answer:

D. upright, same size as object, virtual

Explanation:

it is a plane mirror, it has no changes

The characteristics of the image produced by the object placed in front of a plane mirror will be upright, the same size as the object, and virtual.

What is the law of reflection?

The law of reflection states that when a ray of light reflects back from a surface the angle of incidence of light on a surface is equal to the angle of reflection.

The image produced by an object in front of a plane mirror will be upright, the same size as the object, and virtual.

learn more about the law of reflection

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in the space below derive two equations one in the y direction and one in the x direction expressing newton’s second law using symbols

Answers

Answer:

Fₓ = maₓ

Fy = may

Explanation:

The Newton's Second Law tells us about the force. It says whenever an unbalanced force is applied to a body, an acceleration is produced in that body. The direction of this acceleration is in the direction of the force itself. Hence, the law can be written as:

F = ma

where,

F = Unbalanced force

m = mass of body

a = acceleration magnitude

We, can write two equations separately for x-direction and y-direction as follows:

Fₓ = maₓ

Fy = may

where,

Fₓ = x-component of unbalanced force

aₓ = x-component of acceleration

Fy = y-component of unbalanced force

ay = y-component of acceleration

Bru this was a challenge......but

Answers

Answer:

Free points

Explanation:

Answer:

wdym??

Explanation:?

thank you everyone and the barinly app

Answers

Answer:

youre very welcome can i get brainlist

Explanation:

Which shows the correct order of steps during the formation of an ionic bond?

Ions are attracted to each other → Electrons are transferred → An ionic compound forms
An ionic compound forms → Ions are attracted to each other → Electrons are transferred
Electrons are transferred → Ions form → Ions are attracted to each other
Ions form → Electrons are transferred → Ions are attracted to each other

Answers

Answer:

c

Explanation:

1- First electrons are transferred.

2-The ions are formed

3-The ions are attracted to form the compound

Answer:

answer is c.........

Explanation:

A body on a 20m high cli drops a stone. One second later, he throws
down another stone. Both the stones hit the ground simultaneously. Find the
initial velocity of the second stone g=10m/sec2.

Answers

We are given:

Taking the downward direction as positive

Stone 1:

Initial velocity (u) = 0 m/s

Acceleration (a) = 10 m/s²

Time taken to reach the ground (t) = t seconds

Distance covered (s) = 20 m

Stone 2:

Initial velocity (u) = u m/s

Acceleration (a) = 10 m/s²

Time taken to reach the ground (t) = (t-1) seconds  

[where t is the time taken by stone 1]

Distance covered (s) = 20 m

__________________________________________________________

Time taken by the Stones to reach the ground:

Stone 1:

Using the second equation of motion:

s = ut + 1/2*at²

replacing the variables for Stone 1

20 = (0)(t) + 1/2(10)(t)²

20 = 5t²

Dividing both sides by 5

t² = 4

Taking the square root of both the sides

t = 2 seconds

Hence, Stone 1 reaches the ground in 2 seconds

Stone 2:

The time taken by Stone 2 to reach the ground depends on the time taken by stone 1. Since we defined the time taken by stone 2 as:

Time taken by Stone 2 = (Time taken by Stone 1) - 1

replacing the values:

Time taken by Stone 2 = 2 - 1

Time taken by Stone 2 = 1 second

Hence, Stone 2 will reach the ground in 1 second

__________________________________________________________

Initial Velocity of Stone 2:

According to the second equation of motion:

s = ut + 1/2 at²

replacing the values for Stone 2

20 = (u)(1) + 1/2(10)(1)²

20 = u + 5

u = 15 m/s

Therefore, the Stone 2 is thrown at a velocity of 15 m/s downwards

Which state of matter does this model represent?

Image of particles loosely packed that fill the bottom of the container

Solid
Liquid
Gas
Plasma

Answers

Answer:

Liquid

Explanation:

A liquid will fill its container and are neither tightly packed like a solid nor very loosely packed like a gas.

Answer: Its Solid

Explanation:

Why were Brittany and Michael told that nobody wanted to continue working with them?
In the survey, other participants indicated that they were the ones with whom they did not want to continue to work.
They were randomly preassigned to the condition of social rejection.
They were chosen for the rejection condition because they belong to an ethnic minority.
They were confederates of the experimenter and acted in a way that guaranteed the other participants would dislike them.

Answers

Answer: They were randomly preassigned to the condition of social rejection.

Explanation:

Humans are said to be social beings which means that we survive in part due to our social connections. The experiment from the video was meant to research and evaluate what happens to human beings when they experience social rejection instead of acceptance.

There were four participants being Alexandria, Mike, Brittany and Michael. For the purpose of the research, Brittany and Michael were preassigned to the condition of social rejection whilst the other two were preassigned to acceptance with the goal being to observe the reactions of the parties after they find that they were either accepted or rejected.

Attached is the transcript to the video of the research summary.

Which of the following is a form of potential energy? O A. Sound energy O B. Elastic energy O C. Light energy O O O D. Kinetic energy​

Answers

Answer:

O C. Light energy

Explanation:

it conducts energy in it and is an energy itself.

what forces are used to move a 20000 kilogram block of stone​

Answers

Answer:

196200N

Explanation:

Fg=mg

Fg=?

m=20000

g=9.81

Fg= (20000kg)(9.81[tex]m/s^{2}[/tex])=196200N

if a car is moving down the highway at a constant velocity what does this mean about the cars acceleration?

Answers

if a car is moving with constant speed that means rate of change of speed is zero. Hence, acceleration is zero.

A piano string having a mass per unit length equal to 4.70 10-3 kg/m is under a tension of 1 400 N. Find the speed with which a wave travels on this string.

Answers

Answer:

The speed of the sound wave on the string is 545.78 m/s.

Explanation:

Given;

mass per unit length of the string, μ = 4.7 x 10⁻³ kg/m

tension of the string, T = 1400 N

The speed of the sound wave on the string is given by;

[tex]v = \sqrt{\frac{T}{\mu} }[/tex]

where;

v is the speed of the sound wave on the string

Substitute the given values and solve for speed,v,

[tex]v = \sqrt{\frac{T}{\mu} }\\\\v = \sqrt{\frac{1400}{4.7*10^{-3}} }\\\\v = \sqrt{297872.34}\\\\v = 545.78 \ m/s[/tex]

Therefore, the speed of the sound wave on the string is 545.78 m/s.

Bru this was a challenge..........

Answers

Answer:

um

Explanation:

Answer: Dang thats tough g but u did it

Explanation:

passenger move backward when bus at rest starts to move suddenly give reason​

Answers

Inertia is defined as the tendency of a body to preserve its state of rest or uniform motion unless acted upon by an external force.
When a bus at rest starts to move suddenly,the passenger move backward because of inertia of the passenger to remain in the state of rest .

An 11.8 eV photon is absorbed by an electron in an atom, causing the electron to be excited from level 1 to level 3. The electron then emits a 4.1 eV photon and shifts to level 2. What photon will be emitted when the electron moves back to level 1?

a. 15.9 eV
b. 11.8 eV
c. 7.7 eV
d. 4.1 eV

Answers

Answer:

c. 7.7 eV

Explanation:

The computation of the photon emitted is shown below:

Given that

From level 1 to level 3, the energy absorbed by electrons is 11.8eV

And, when from level 3 to level3, the energy released by electron is 4.1eV

So, from level 2 to level 1, the energy released is

= 11.8 - 4.1

= 7.7

= 7.7eV

Hence, the third option is correct

The same is to be considered

And, the other options are wrong

Oil with a density of 890 kg/m3 moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is
P1 = 2.00 ✕ 104 Pa,
and the pipe diameter is 7.00 cm. At another point
y = 0.30 m
higher, the pressure is
P2 = 1.25 ✕ 104 Pa
and the pipe diameter is 3.50 cm.

A tube is open at both its left and right ends. The tube starts at the left end, extends horizontally to the right, curves up and to the right, and extends horizontally to the right again. The right end is higher than its left end, and the change in height is labeled y. The pressure at the left end is labeled P1, and the pressure at the right end is labeled P2.

a- find the speed of the flow in the lower section (m/s)

b- find the speed of the flow in the higher section (m/s)

c- find the volume flow rate in the pipe (m^3/s)

Answers

Answer:

(a) V₁ =  1.06 m/s

(b) V₂ = 4.24 m/s

(c) Q = 4.08 x 10⁻³ m³/s

Explanation:

(b)

The formula derived for Venturi tube can be used here:

P₁ - P₂ = (ρ/2)(V₂² - V₁²)

where,

P₁ - P₂ = Difference in Pressure = (2x 10⁴ Pa) - (1.25 x 10⁴ Pa) = 0.75 x 10⁴ Pa

ρ = Density of Oil = 890 kg/m³

V₂ = Velocity at Higher End = ?

V₁ = Velocity at Lower End = ?

Therefore,

0.75 x 10⁴ Pa = [(890kg/m³)/2](V₂² - V₁²)

V₂² - V₁² = (0.75 x 10⁴ Pa)/(445 kg/m³)

V₂² - V₁² = 16.85 m²/s²   ------------------- equation (1)

Now, we will use continuity equation:

A₁V₁ = A₂V₂

where,

A₁ = Lower End Area = πd₁²/4 = π(0.07 m)²/4 = 3.848 x 10⁻³ m²

A₂ = Higher End Area = πd₂²/4 = π(0.035 m)²/4 = 9.621 x 10⁻⁴ m²

Therefore,

(3.848 x 10⁻³ m²)V₁ = (9.621 x 10⁻⁴ m²)V₂

V₁ = (9.621 x 10⁻⁴ m²)V₂/(3.848 x 10⁻³ m²)

V₁ = 0.25 V₂   -------------------- equation (2)  

using this value in equation (1):

V₂² - (0.25 V₂)² = 16.85 m²/s²

0.9375 V₂² = 16.85 m²/s²

V₂² = (16.85 m²/s²)/0.9375

V₂ = √(17.97 m²/s²)

V₂ = 4.24 m/s

(a)

using the value of V₂ in equation (2):

V₁ = 0.25(4.24 m/s)

V₁ =  1.06 m/s

(c)

For fluid flow rate we use the following equation:

Flow Rate = Q = A₂V₂ = (9.621 x 10⁻⁴ m²)(4.24 m/s)

Q = 4.08 x 10⁻³ m³/s

The speed if the fluid increases as pressure decreases.

(a)  The speed of the flow in the lower section is 1.06 m/s

(b)  The speed of the flow in the higher section is  4.24 m/s

(c) The volume flow rate in the pipe [tex]\bold {4.08 x 10^-^3m^3/s}[/tex].

The relation pressure and volume in constricted pipe can be derived by the formula formula ,

[tex]\bold {P_1 - P_2 = (\rho /2)(V_2^2 - V_1^2)}[/tex]

Where,

P₁ - P₂ -Difference in Pressure = [tex]\bold { 0.75 x 10^4}[/tex]

[tex]\rho[/tex] - Density of Oil = 890 kg/m³

V₂ - Velocity at Higher End = ?

V₁ - Velocity at Lower End = ?

put the values in the formula,

[tex]\bold {0.75 x 10^4 Pa = \dfrac{(890kg/m^3)}{2(V_2^2 - V_1^2)}}\\\\\bold {V_2^2 - V_1^2 = \dfrac {0.75 x 10^4 Pa}{445 kg/m^3}}\\\\\bold {V_2^2 - V_1^2 = 16.85 m^2/s^2}[/tex]

The continuity equation,

[tex]\bold {A_1V_1 = A_2V_2}[/tex]

Where,

[tex]\bold {A_1 }[/tex] - Area of lower end = [tex]\bold {3.848 x 10^-^3m^2}[/tex]

[tex]\bold {A_2 }[/tex] - Area of higher end = [tex]\bold {9.621 x 10^-^4m^2}[/tex]

Put the value in the formula above,

[tex]\bold {(3.848 x 10^-^3m^2)V_1= (9.621 x 10^-^4m^2)V^2}\\\\\bold {V_1 = \dfrac {(9.621 x 10^-^4 m^2)V_2}{(3.848 x 10^-^3 m^2)}}\\\\\bold {V_1 = 0.25 \times V_2}[/tex]

Put the value of [tex]\bold {V_1}[/tex], we get

[tex]\bold {V_2= 4.24 m/s}[/tex]

Therefore,

[tex]\bold {V1 = 0.25 (4.24 m/s)}\\\\\bold {V_1 = 1.06 m/s}[/tex]

The flow rate

[tex]\bold {Q = A_2V_2}[/tex]

[tex]\bold {Q = (9.621 x 10^-^4 m^2)(4.24 m/s)}\\\\\bold {Q = 4.08 x 10^-^3m^3/s}[/tex]

Therefore, the flow rate of the oil in the pipe is [tex]\bold {4.08 x 10^-^3m^3/s}[/tex].

To know more about Bernoulli's equation, refer to the link:

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An astronaut uses a Body Mass Measurement Device to measure her mass. Part A If the force constant of the spring is 3200 N/m, her mass is 65 kg, and the amplitude of her oscillation is 1.7 cm, what is her maximum speed during the measurement

Answers

Answer:

v = 0.119 m/s

Explanation:

Given that,

Force constant, k = 3200 N/m

Mass, m = 65 kg

Amplitude of her oscillation is 1.7 cm i.e. 0.017 m

We need to find her maximum speed during the measurement. Let it is v. It is given by the formula as follows :

[tex]v=\sqrt{\dfrac{k}{m}}A[/tex]

Where,

A is the amplitude

[tex]v=\sqrt{\dfrac{3200}{65}}\times 0.017 \\\\v=0.119\ m/s[/tex]

So, the maximum speed is 0.119 m/s.

The maximum speed of the astronaut during the measurement is 0.12 m/s.

The given parameters;

force constant, k = 3200 N/mmass of the astronaut, m = 65 kgamplitude of the oscillation, A = 1.7 cm = 0.017 m

The maximum speed of the astronaut during the measurement is calculated as follows;

[tex]v = \omega A\\\\v = \sqrt{\frac{k}{m} } \times A\\\\v = \sqrt{\frac{3200}{65} } \times 0.017\\\\v = 0.12 \ m/s[/tex]

Thus, the maximum speed of the astronaut during the measurement is 0.12 m/s.

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3. A player catches a ball. The action force is the impact of the ball against the player's glove. The
reaction force is...
a. The force the glove exerts on the ball
b. The player's grip on the glove
c. The friction of the ground on the player's shoes
Why???

Answers

Answer:

Answer: A

Explanation:

Why??   Two objects meaning they have the same force pair must remain the same

Using Newton's third law, we find that the correct answer to the reaction force is  a: the force of the glove on the ball

Given parameters

The force of the ball on the glove

to find

The reaction force

Newton's third law say that forces are produced in pairs, that is, when two bodies interact, one body feels the action of the other and responds with an interaction of equal magnitude but in the opposite direction. In general, these two forces are called action and reaction, they have the following characteristics:

They are equal in magnitude has the opposite direccion each one is applied to one of the interacting bodies

         

let's analyze the given options using Newton's third law:

a. True. The force of the ball is on the glove, it must respond with a force of equal magnitude on the ball, therefore these are two forces of action and reaction

b. False. The grip or the player's hand does not receive the action of the ball, it receives the action of the glove

c) False. the player's shoes do not interact with the ball, interact with the ground

In conclusions by using Newton's third law the correct answer is a:  the force of the glove on the ball

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An elephant and a mouse when dropped from the same height (ignoring
air resistance) will hit the ground at the same time because all objects fall
at the same rate of acceleration, regardless of their mass.
True
False

Answers

Answer:

True

Explanation:

A force of 1.50 N acts on a 0.20kg trolley so as to accelerate it along an air track
The track and force are horizontal and in line . How fast is the trolley going after acceleration from rest through 30cm , if friction is negligible​

Answers

Answer:

2.12m/s

Explanation:

Given parameters:

Force on trolley  = 1.5N

Mass of trolley  = 0.2kg

Unknown:

Velocity of the trolley  = ?

Solution:

To solve this problem, we first find the acceleration of the trolley;

          Force  = mass x acceleration

         Acceleration  = [tex]\frac{Force }{mass}[/tex]

Insert the parameters and solve;

          Acceleration  = [tex]\frac{1.5}{0.2}[/tex]   = 7.5m/s²

Now to find the acceleration;

  Initial velocity  = 0m/s

  v² = u² + 2aS

v is the final velocity

u is the initial velocity

a is the acceleration

S is the distance

  Distance  = 30cm and this is 0.3m

     v² = 0² + 2(7.5)0.3  = 4.5

     v = √4.5 = 2.12m/s

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