The diagram below represents a 2.0 kg toy car moving at across the speed of 3.0 meters per 2nd counter clockwise in a circular path with a radius of 2.0 meters.At the Instant shown in the diagram, the direction of the centripetal force acting on the car is_____.

Given:

• Force, F = 25 N

• Radius, r = 2 cm

Let's find the pressure increase.

To find the pressure increase, apply the formula:

Where:

F = 25 N

r is the radius in meters = 2 cm

P is the pressure

Convert the radius from cm to meters.

Where:

100 cm = 1 m

2 cm = 2 /100 = 0.02 m

Hence, we have:

Therefore, the pressure increase is 1.99 x 10⁴ Pa.

ANSWER:

1.99 x 10⁴ Pa

ANSWER:

STEP-BY-STEP EXPLANATION:

Given:

Mass (m) = 8.1 kg

T1 = 64 °F

T2 = 743 °F

Specific heat (C) = 385 J/kg*°C

Given:

The currents, I₁=20 A

I₂=10 A

The length of the wires, L=5 m

The distance between two wires, d=1.0 cm=0.01 m

To find:

The magnetic force between the wires.

Explanation:

As the wires are conducting the current in opposite directions, the nature of the force between the wires is repulsive.

The magnitude of the force between two wires is given by,

Where μ₀=4π×10⁻⁷ H/m is the permeability of free space.

On substituting the known values,

Final answer:

The magnetic force between wires is 0.020 N, repulsive.

ANSWER

False

EXPLANATION

Sound waves travel by causing vibrations in particles in the direction of the wave and these vibrations can travel through any state of matter (solid, liquid, gas).

This means that if the vibrations occur faster, the sound waves can also be transmitted faster. On a warm day, the temperature is higher, which means that molecules of air vibrate faster, resulting in faster transmission of sound waves.

Therefore, it is false that sound travels faster on a cold day than on a warm day.

Answer:

88 ft / sec = 60 mph

Thus 97/60 * 88 = 142 ft/sec      maximum speed of cannonball

R = V^2 sin 2 θ / g = 142^2 / 32 = 630 ft

Using 3.28 ft / m

630 ft / 3.28 f/m = 192 m is the maximum range of the cannonball

Vy = 142 ft / sec * sin 45 = 100 ft/sec    vertical speed at 45 deg

Tup = 100 ft/sec / 32 ft/sec^2 = 3.12 sec    time to reach height

T = 2 * 3.12 = 6.24      total time in air when fired at 45 deg

Answer:  45 A

Explanation:

Primary only protection 3-phase

I =  3 phase kVA / ( 1.723 * V)

I = 30000 / ( 1.732 * 480 ) = 36.085 A

Table 450.3(B)

Currents of 9A or more column

primary only protection  = 125%

Max OCPD pri = 125% of I = 1.25 * 36.085 = 45.11 A

 Table 450.3(B) Note 1   does not apply, use next smaller Table 240.6(A)

Next smaller = 45 A

Given that a box is standing on a conveyor belt that is not in motion.

When the belt starts moving with some acceleration, the box starts moving too without slipping.

Let's determine the force that is responsible for the acceleration of the box.

Here, since the box starts moving without slipping when the belt starts moving, there will be static friction between the box and the belt since the belt was fixed.

Now, the force which is responsible for the acceleration of the box will be the force of gravity and the normal force.

Applying the Newton's second law, if the there is only force of gravity and the normal force acting on the box, there will be zero horizontal acceleration.

In order for the box to accelerate without slipping, the force responsible will be the static frictional force.

ANSWER:

c. The force of friction.

The pitch of a note is the same as its frequency.

Remember that te timbre depends on the shape and other properties of the vibrating object. The loudness is related to the amplitude of the wave, and the wavelength of sound is inversely proportional to the frequency.

On the other hand, the frequency of the sound of a string is proportional to the square root of the tension in the string. Then, if the tension increases (if the string is tightened), the frequency will also increase (and if the frequency increases, the wavelength decreases).

Therefore, the parameter that increases when a string of a stringed instrument is tightened, is the pitch.

Therefore, the answer is:

Answer:

The answer should be 450 cm³

Cannot be 4500 unless one of the measurements is in meters. See detailed explanation below

Explanation:

This is pretty much straightforward

V = l x w x h

where

l = length, w = width, h = height

Given the values for l, w, h

V = 4.5 x 2 x 50

= 450 cm³

The only way you can get 45,000 is if one of the measurements is in meters and others in cm. Please check your question carefully to see what units were used and what units the answer should be in

Given,

The current drawn by the contact lens heating unit, I=0.05 A

The supply voltage, V=197 V

The electric power is given by the product of the current drawn and the supply voltage.

Thus the power used by the given device is given by,

On substituting the known values,

Thus the power used by the contact lens heating unit is 9.85 W

Given:

Car A is traveling with a constant velocity of,

The initial speed of car B is,

After t=4 s, carB's speed is,

To find:

Which car has a greater acceleration

Explanation:

The acceleration of Car A is Zero as there is no change in velocity with time.

The acceleration of car B is,

So, Car B has greater acceleration.

Hence, Car B has greater acceleration.

Metals are good conductor of electricity while plastics are bad conductors of electricity.

Thus, the statement D Metals and plastic are poor conductors is false.

Hence the correct option is D.

Given:

Mass, m = 0.68 kg

Initial temperature, T1 = 20°C

Final temperature, T2 = 45°C

Let's find the amount of heat needed.

Apply the Specific Heat Capacity formula:

Where:

m is the mass = 0.68 kg

c is the specific heat of water = 4.187 J/kg °C−1

T1 = 20°C

T2 = 45°C

Plug in the values and solve for Q:

Where:

1 kJ = 0.239 kCal

Since the answer is to be in kCal, we have:

Therefore, the amount if heat added is 17.01 kCal.

ANSWER:

17.01 kCal

The acceleration of the cart

a=1.2431m/s^2

Generally, The equation for Newton's second law of motion is

2nd law of motion,

Fnet=m a

on hanging mass,

m_1 g-T=m_1 a

m_1 g-m_2 a=m_1 a

Acceleration, [tex]$a=\frac{m_1 g}{m_1+m_2}$[/tex]

[tex]&a=\frac{0.077 \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2}{0.077 \mathrm{~kg}+0.53 \mathrm{~kg}} \\[/tex]

a=1.2431m/s^2

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By equating the two forces, acceleration due to gravity g is obtained which is independent of mass

The law state that the rate of change of momentum is directly proportional to the force applied.

From Newton’s Second Law, Force F = mg. And from Newton’s Law of Universal Gravitation, Force F = GMm/r²

Where m is the mass of the satellite or the body revolving round the earth.

Equate the two forces.

mg = GMm/r²

The two m cancelled out leaving

g = GM/r²

Where

Therefore, since the mass of the satellite m has cancelled out, acceleration due to gravity g is independent of mass.

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The density is given by:

where V is the volume and m is the mass.

To determine the mass we have to solve the equation for m:

Now, before we can calculate the mass we have to convert the volume given to cubic meter, this comes from the fact that the density is given in g/cm^3 units. We have to remember that a ft is equal to 30.48 cm, then we have:

Hence the volume of the iceberg is:

Now that we have the volume in the correct units we plug its value and the density in the equation for the mass above:

Hence the mass of the iceber is 2.32x10^8 g.

Therefore the mass of the iceberg in kilograms is:

ANSWER

Weigh a piece of the material, drop it in water and weigh the amount of water displaced. Specific gravity is the quotient between the mass of the mineral and the mass of water.

EXPLANATION

The specific gravity is the ratio of the mineral's density to the density of water at 23°C,

Density, denoted with the greek letter ρ, is the ratio between the mass and volume of the substance,

If the mineral is a solid piece, we can weigh it - so we know the mass, and can find its volume by dropping it into water. Then, if we weigh the amount of water displaced, we have the mass of water as well - by Archimedes principle, the volume of water will be the volume of the object,

The rate of heat transfer from each foot to keep the top of the ceramic and carpet at the desired temperature is 27.6 J/s.

Thermal heat transfer is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.

The rate at which heat transfer occurs from each foot to keep the top of the ceramic and carpet at the given temperature is calculated as follows;

Q/t = kA(T₂ - T₁)/d

where;

Q/t is the rate of heat transfer

The heat transfer coefficient of human skin = 0.3 W / m⁰C

Area = 80 cm² = 0.008 m²

thickness, d = 2 cm = 0.02 m

change in temperature, = 33⁰ C - 10 ⁰C = 23 ⁰C

Q/t = (0.3 x 0.008 x 23) / (0.002)

Q/t = 27.6 W = 27.6 J/s

Thus, the rate of heat transfer from each foot to keep the top of the ceramic and carpet at the desired temperature is 27.6 J/s.

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Static energy is the energy due to motionless state of a particle. If a particle is at rest it possess static energy also known as potential energy. When some force is applied to the particle then the static energy gets converted into kinetic energy of the particle.

Vi = initial speed = 10 km/h

Vf= final speed = 75 km/h

t = time = 7 sec

a = acceleration

First, express km/h in m/s

Vi = 2.78 m/s

Vf= 20.83 m/s

Apply

a = (vf-vi) / t

replace:

a = (20.83 - 2.78 ) / 7 = 2.58 m/s^2

Answer: h = 14 m

Explanation:

From the information given,

weight of rocket = 10N

Recall, weight = mg

Thus, mg = 10

where

m = mass of object

g = acceleration due to gravity and its values is 9.8 m/s^2

At the exact top of the trajectory, the total mechanical energy = 140 J

Recall,

total mechanical energy = kinetic energy + potential energy

At the exact top, kinetic energy = 0

Thus,

140 = potential energy

Recall, potential energy = mgh

where h is the height of the object(in this case, h is the height at the exact top and its value is 140J). Thus,

140 = mgh

Substituting mg = 10, we have

140 = 10h

h = 140/10

h = 14 m

To find the order of magnitude we move the decimal point until we have only one interger before it:

Now that we have in this form we conclude that the order of magnitude of the number is 24

In order to determine the depth in the ocean, use the following equation:

h: depth

P: pressure = 3*Po

Po: atmospheric pressure = 1.013*10^5Pa

g: gravitational acceleration constant = 9.8m/s^2

p: density of water = 1025 kg/m^3

Replace the previoua values into the formula for h and simplify:

Hence, the depth in the ocean is approximately 20.17m

Geothermal energy can be used only if an energy source is present.

Mining is required to use geothermal energy.

The depth of mining increases earthquake risk.

Thus, it is difficult to find geothermal energy sources that are close to the surface.

Given data:

The voltage can be expressed as,

v = 520 sin (30t - 5π/4) ...... (1)

Now, the general equation of the sine wave can be given as,

Here,

is the phase angle,

is the maximum voltage, and

is the angular frequency.

Compare equations (1) and (2), we get:

Thus, the phase angle is

and the first option (-225 degrees) is correct.

When pushing a toy truck up an inclined plane, the force that makes the truck goes up is the force that the child uses to push the truck. (The force that pushes

Therefore the correct option is C.

1. A ceiling fan plugged into the wall socket.

The input is the electrical energy and the output is the mechanical energy from the rotation of the fan blades.

So, the energy transfer must be electrical to mechanical.

2. A stove heating a pot of water for pasta

The input is the light energy from the stove and the output is the thermal energy to heat the water.

So, the energy transfer must be light to thermal.

3. A wind turbine generating power

The input is the mechanical energy from the rotation of the turbine blades and the output is the electrical energy that is being generated.

So, the energy transfer must be mechanical to electrical.

4. A person eats a snack when they are hungry and has the energy to take a walk.

The input is the chemical energy that the person gets from eating food and the output is the mechanical energy (doing physical work).

So, the energy transfer must be chemical to mechanical.

5. A solar panel is used to create power

The input is the light energy from the Sun and it is being converted into electrical energy to generate power.

So, the energy transfer must be light to electrical.

6. A microwave is used to heat up a burrito.

The input to the microwave is the electrical energy and the output is the thermal energy to heat up the burrito.

So, the energy transfer must be electrical to thermal.

7. A lamp is plugged into the wall and shines down on a room

The input to the lamp is electrical energy which is being converted into light energy.

So, the energy transfer must be electrical to light.

8. A plant grows by absorbing the sun's rays

The input to the plant is the nuclear energy from the sun and the output is the chemical energy.

So, the energy transfer must be nuclear to chemical.

9. A game controller uses batteries to power it.

The batteries provide chemical energy as input and the output is the electrical energy to power the controller.

So, the energy transfer must be chemical to electrical.

10. The sun heats up a person sunbathing at the beach.

The input is the nuclear energy from the sun and output is the thermal energy by absorbing the heat.

So, the energy transfer must be nuclear to thermal.

To find:

Which of the given statements is true.

Explanation:

The free fall is defined as the motion of an object under the influence of only gravitational force. In free fall, there will be no forces, except gravitational force acting on the object.

When the skydiver jumps, gravity will pull the diver downwards. And the air resistance due to the air in the atmosphere will oppose this motion of the diver. Thus there will be two forces acting on the diver, gravity and the air resistance. Thus the skydiver will never experience free fall.

Final answer:

Thus the correct answer is option D.

The height of the well is 30m

We are given that ,

The initial velocity of the stone = u = 5m/s

The stone fall into well in time = t = 3s

The acceleration due to gravity = g = 10 m/s²

To get the height of the stone which is thrown from the surface of the water in the well by equation,

h = ut + 1/2 gt²

Where, u is initial velocity in m/s, h is height in m, t is time in secs, g is acceleration due to gravity which is vertically upward direction i.e. (-10m/s²)

h = (5m/s) (3s) + 1/2 (-10m/s²)(3s)²

h = (15m) - (5m/s²)(9s²)

h = -30 m

Therefore, the height of the stone which is thrown upward is 30 m . And here, we can neglect the negative sign due to height is never be in negative.

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Well, we will hav that neither "k" or "x" are negative, the negative sign is external to both values and the reason is that this is written in that way to represent the "direction" of the movement of the system. Form example, when the spring is extended then it will represent that it will pull back, and when it is compacted it represents that it will pull outwards.

It is simply a technicallity.