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_____.

Wind velocity:

25 m/h with a direction angle of 190°.

Vertical component:

25 sin 190 = -4.34 m/s = - 4 m/s

The density of the rock sample is 3000 kg/m³.

Density is an important property of matter because it can be used to determine the weight of an object. For example, if you know the density of a rock sample and its volume, you can calculate its weight by multiplying the density by the volume. Density can also be used to determine the composition of a material. For example, if you know the densities of different materials, you can identify the material of a rock sample by measuring its density.

Density is a measure of how much mass is contained in a given volume.. The calculation of the density of the rock sample:

Density = Mass / Volume

Density = 6 kg / 0.002 m³

Density = 3000 kg/m³

As a result, the rock sample has a density of 3000 kg/m³.

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As the object is falling freely, the acceleration of the object will be equal to the acceleration due to gravity.

It is given as,

Here, G is the univarshal gravitational constant and M is the mass of the Earth.

means acceleration of the object is constant and independent of the mass of the object.

so option 1 is correct.

now the gravitational force on that object is,

here this is dependent on the mass of the object(m).

NOw the gravitational field means the force per unit mass and is given by,

Here we can se that this gravitational field is also independent of the mass of the object.

So, option 1 and 4 are correct.

The final velocity of the student after travelling 12 m is 4 m/s.

The final velocity of the student is determined by applying the following Kinematic equation.

v² = u² + 2as

where;

v² = (2)² + 2(0.5)(12)

v² = 16

v = √16

v = 4 m/s

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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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In order to solve this equation, we will need to use the formula

where f = frequency, c is the speed of light and lamda is wavelength

c = 3x10^8 m/s

lamda = 2.55x10^-3 m

f = (3x10^8)/(2.55x10^-3) = 1.18x10^11 1/s

ANSWER:

313600 J

STEP-BY-STEP EXPLANATION:

We have that the gravitational potential energy is given by the following equation:

We substitute and calculate the potential energy, knowing that g is the acceleration of gravity and is equal to 9.8 m/s^2:

We know that the total energy is 392,000 joules, so the energy it now carries would be the total minus the calculated potential energy:

The energy carried by the cart is 313600 J

Considering the average velocity can be written as:

We can isolate the distance, and we get:

Then, the distance the plane flew is 3600km

Answer: B

Explanation:

The formula for calculating the efficiency of a heat engine is expressed as

Efficiency = useful work done/Heat energy supplied x 100

From the information given,

Heat energy supplied = 500

useful work done = 50

Efficiency = 50/500 x 100

Efficiency = 10%

1.26 g/cm³

Step 1

given

unknown; the density of the material, so

so, the proportion is

the ratio of the force equals the ratio of the density ,so

so, the density of the material is

1.26 g/cm³

I hope this helps you

Given data:

Distance traveled by car in t_1=4.5 hr is s_1=400 km.

Distance traveled by car in t_2=1 hr is s_2=0 km (as the car was stopped).

Distance traveled by car in t_3=2.5 hr is s_3=300 km.

The average speed is given as,

Substitute all known values,

Therefore, the average speed of the car is 87.5 km/h.

Given:

Charge, Q = 45 C

Potential difference, V = 1.0 x 10⁸ V

Time, t = 0.030 s

Let's solve for the following:

• (A). What is the current of the lightning strike?

To find the current, apply the formula:

Where:

I si the current

Q is the charge = 45 C

t is the time = 0.030 s

Thus, we have:

Therefore, the current of the lightning strike is 1500 Amperes.

• (B). How much energy is released by the lightning bolt?

To find the amount of energy released, apply the formula:

where:

E is the Energy released

V is the potential difference, V = 1.0 x 10⁸ V

Q is the charge = 45 C

Thus, we have:

Therefore, the energy released is 4.5 x 10⁹ Joules.

ANSWER:

(a). 1500 A

(b). 4.5 x 10⁹ J

After solving each problem to correct the number of significant figures :

(a) 76330

(b) 8199 × 10⁻³

(c) 74.81 dm.

(d) 13.8 cm

(e) 8.09 km

Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left hand side = right hand side) is a fundamental mathematical formula.

According to the question,

(a) (7.31 × 10⁴) + (3.23 × 10³)

(73100) + (3230) = 76330

(b) (8.54 × 10⁻³) – (3.41 × 10⁻⁴)

= 8199 × 10⁻³

(c) 4.35 dm × 2.34 dm × 7.35 dm

= 74.81 dm.

(d) 4.78 cm+3.218 cm+5.82 cm

= 13.8 cm

(e) 38,736 km ÷ 4784 km

= 8.09 km

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The balloon goes 25 m east in first 10 s.

Then the wind blows the balloon 35 m west in 8 s.

a

The balloon travels 25 m in 10s.

b

the balloon travels a distance 35 m in next 8 s.

c

thhe total distance travelled by the balloon is,

d

Average speed in 10 s is,

e

The average speed in next 8 s is,

f

the average speed for the entire trip is,

g

displacement during the first 10 s is.

h.

displacement during next 8 s is,

i

The total displacement is,

j

the average velocity in 10 s is,

k

The average velocity in 8 s is,

l

The average velocity entire the whole trip is,

ANSWER

14.11 s

EXPLANATION

We know that in total, the runner will run a distance of 100m. He runs at constant acceleration for a while and then his velocity gets constant until the end of the track - this means that in the last part, his acceleration is zero.

So we have two parts:

For the first part, we have the acceleration and time. If we set that the initial position is zero, as shown in the diagram above, and that the runner starts from rest - therefore, his initial velocity is zero - we can find the distance of the first part of the path, which we'll call x1:

Since x0 and v0 are both zero, then those terms get cancelled:

So the first part of the track, where the runner is speeding up, has a distance of 27m. Therefore, the rest of the track where the runner runs at constant acceleration is:

73m.

We want to find the time it took the runner to run the whole 100m. We know that he did the first part in 6 seconds. To find the time of the second part, we can use the distance we just found. Let's call it xf:

We know that the acceleration in this part of the track is zero and the initial velocity for this part is the velocity the runner had when he reached 6 seconds - i.e. 27m:

We don't know the time and we don't know the velocity, but we can find the second one using the formula for velocity for the first part of the track with t = 6s:

Now we can find the time for the second part of the track:

Therefore, the total time it took the runner to run 100m was:

14.11 s

The linear displacement in a rotation is given by:

where r is the distance from the axis of rotation and theta is the angular displacement.

Since the linear displacement is proportional to the radius we conclude that child A has a larger linear displacement.

Given data

*The given mass of the Sailorman is m = 85 kg

*The given height is h = 3.55 m

*The given time is t = 6 s

*The value of the acceleration due to gravity is

The formula for the power generated by the Sailorman during his run is given as

*Here W is the work done

Given:

Nucleus of the atom

Required:

Neutra

ANSWER

75.65 km/h

EXPLANATION

Given:

• The student's mass, m = 77 kg

• The kinetic energy of the student in the car, KE = 1.7 x 10⁴ J

Find:

• The speed read in the speedometer of the car, which is the speed of the student, v (in km/h)

The kinetic energy of an object with mass m, traveling at a speed v, is,

Solving for v,

Replace the known values and solve,

Note that because the kinetic energy is given in Joules - which is equivalent to kg*m²/s², the speed we found is in m/s. Now, knowing that there are 3600 seconds in 1 hour and that 1 km is equivalent to 1000 m, we can convert this to km/s,

Hence, the speedometer reading of the car is 75.65 km/h, rounded to the nearest hundredth.

ANSWER:

The answer is given in the step by step of the question

STEP-BY-STEP EXPLANATION:

Extreme heat can affect human and animal life in the following ways:

• Animals are sensitive to changes in temperature, as much or more than humans. Think how bad you feel when you have a fever. They also suffer this type of discomfort as a consequence of climate change.

• Climate change is pushing many species to the limit. They lack water to drink or suffer from temperatures in which they are not comfortable.

• Provocation of forest fires damaging the habitat of animals and humans

Given:

The mass of the first ball is,

The initial velocity of the first ball towards West is,

The mass of thr second ball is,

the second object is initially at rest.

The final velocity of the first ball is,

we are taking West as positive.

Applying momentum conservation principle we can write,

Substituting the values we get,

THe final velocity of the second ball is towards East and the magnitude is 8.8 m/s.

The impulse of the Second ball is,

1 ) The speed of the roller coaster = 12.28 m / s

2 ) Height of the hill above the top of the loop = 7 m

3 ) Energy lost due to friction = 132 KJ

1 ) The speed of the roller coaster,

[tex]a_{c}[/tex] = v² / r

[tex]a_{c}[/tex] = Centripetal acceleration

v = Linear velocity

r = Radius

r = 14 m

[tex]a_{c}[/tex] = 1.1 g = 1.1 * 9.8

[tex]a_{c}[/tex] = 10.78 m / s²

v² = [tex]a_{c}[/tex] * r

v² = 10.78 * 14

v² = 150.9

v = 12.28 m / s

2 ) Initial starting point,

Considering hill as 1 and the loop as 2,

v1 = 0

h2 = 2 r = 2 * 14

h2 = 28 m

∑ [tex]F_{y}[/tex] = m [tex]a_{c}[/tex]

[tex]F_{N}[/tex] + [tex]F_{g}[/tex] = m [tex]a_{c}[/tex]

0 + m g = m v2² / r

v2² = g r

According to law of conservation of energy,

E1 = E2

m g h1 + 1 / 2 m v1² = m g h2 + 1 / 2 m v2²

m g h1 + 0 = 28 m g + 1 / 2 m g r

h1 = 28 +  1 / 2 ( 14 )

h1 = 35 m

Height of the hill above the top of the loop = h1 - h2

Height of the hill above the top of the loop = 35 - 28

Height of the hill above the top of the loop = 7 m

3 ) Energy lost due to friction,

h1 = 35 + 7.5

h1 = 42.5 m

m = 1800 kg

v2² = g r

v2² = 9.8 * 14

v2² = 137.2 m / s

Since energy is lost due to friction,

KE1 + U1 = KE2 + U2 + W

0 + m g h1 = 1 / 2 m v2² + m g h2 + W

( 1800 * 9.8 * 42.5 ) = ( 0.5 * 1800 * 137.5 ) + ( 1800 * 9.8 * 28 ) + W

749700 = 123750 + 493920 + W

W = 749700 - 617670

W = 132030 J

W = 132 KJ

Therefore,

1 ) The speed of the roller coaster = 12.28 m / s

2 ) Height of the hill above the top of the loop = 7 m

3 ) Energy lost due to friction = 132 KJ

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The instrument is the Thermometer

Answer:

It is a thermometer and it helps to see the temperature

When resistors are in series, the total resistance is equal to the sum of the individual resistances of each resistor. Thus, the total resistance in this circuit is 9+18+30 = 57Ω

Answer:

A. 282.93 N

B. 1.94 degrees

Explanation:

The combined force is found by first adding the three forces given.

We add the three forces by adding their x and y components separately and then combining the results to produce the total force,

The x component of a force is

Therefore, x components of the forces is

The y-component of the forces is

Now evaluating the above two components gives

Let us draw on big vector whose components are the above vectors.

The angle of the combined vector with respect to the x-axis is

which is our answer!

The magnitude of the combined vector is

which is our answer!

Hence, to summerise:

A. 282.93 N

B. 1.94 degrees

Protons, electrons an neutrons are the particles that make up atoms.

Protons have a positive electric charge, electrons have a negative electric charge an neutrons are electrically neutral.

The nucleus of an atom is made of protons and neutrons, so, its electric charge is positive an proportional to th

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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So lets go through all four answer choices.

The easiest to choose is whether gravity is affecting these objects. Assuming that there is some sort of gravity that would pull the pins down, gravity does affect these objects

Second is inertia.

We know that if an object has inertia, it will try to resist moving/coming to rest. In this case, we know that the pins have inertia because the pins fell over, so we know that the pins do have inertia

The last part is whether these objects have an unbalanced or balanced force. If a balanced force did exist, there would need to a force that would equally counteract the force of the bowling ball, which there isn't. Which means there is an unbalanced force affecting these objects.

Given that the user must choose one, the correct answer would be that an unbla

To find

The source of the Sun’s heat and light energy is:

Explanation

The sun's core is very hot. So under pressure nuclear fusion takes place. Here hydrogen is changed to helium.

Conclusion

The correct option is

B. fusion of hydrogen nuclei.

Timmy walks 5 m North, 3m West, and finally 1 m South then his displacement from the starting point would be 5 meters in the northwest direction.

Displacement describes this shift in location and it is calculated with the help of the initial and the final position of the object.

As given in the problem If Timmy walks 5 m North, 3m West, and finally 1 m South ,

The resultant displacement of the Timmy = √(4² + 3²)

                                                              = 5 meters

Thus, the resultant displacement of the Timmy would be 5 meters

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