A car traveling at a constant 15.0 m/s travels 35.0 m, how long did it take?(Input your answer with 1 decimal place, round accordingly)

A) The rotation rate of the ball in rev/secs is ;  10.79 rev/secs

B) The total kinetic energy of in pound-feet ignoring the finger holes is : 37.6157 pound-feet

Given data :

mass of ball = 12 Ib

diameter of ball = 8.5 inches

Radius = 4.25 inches = 0.10795 m

Time = 5 secs

distance travelled = 60 ft  = 18.288 m

First step : calculate the velocity of ball

V = distance / time

  = 18.288 / 5 = 3.66 m/s

Next step :

angular velocity ( w ) = V / r  

                                  = 3.66 / ( 0.10795 ) = 33.90 rad/sec

convert to rev/sec = 33.90 / π

                               = 10.79 rev/secs

given that ball rolls without slipping

Vcon = Rw

Total K.E = 1/2 IW² + 1/2 mv²

               = 7/10 MR²W²

Total K.E = 7/10 *  5.44 * ( 0.10795 )² * 33.90²

               = 50.99 ≈ 51 J

convert to pound-feet = 37.6157 pound-feet

Hence we can conclude that The rotation rate of the ball in rev/secs is ;  10.79 rev/secs  and The total kinetic energy of in pound-feet ignoring the finger holes is : 37.6157 pound-feet.

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A crow flies forward and backward. Its motion is shown on the following graph of horizontal position x vs. time t.

What is the instantaneous velocity of the crow at t = 9 s?

Answer: -0.50 m/s

A crow flies forward and backward. Its motion is shown in the following graph and the instantaneous velocity of the crow at t = 9 s is -0.5 m/s.

From the figure, it shows that from t = 8sec to t = 12 sec the displacement is decreasing, so velocity will be the slope of the straight line.

The velocity is given by:

velocity = -Δx ÷ Δt

velocity = (-2) ÷ (12-8)

velocity = -2 ÷ 4

velocity = -0.5 m/s

Therefore, A crow flies forward and backward. Its motion is shown in the following graph and the instantaneous velocity of the crow at t = 9 s is -0.5 m/s.

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Answer:

Due to same gravity.

Explanation:

The speed of the car remains the same when it reaches on the flat surface because the gravity is same at every step of flat surface while on the other hand, the speed of car speed increases steadily on the inclined plane due to gravity of the earth. So we can say that speed of the car remains the same on the flat surface due to same gravitational force.

The Magnus effect can not be observed in skiing.

Magnus' effect: When there is relative motion between the spinning body and the fluid, a sideways force is generated on a rotating cylindrical or spherical solid immersed in the fluid (liquid or gas). The effect, bears the name H.G. Magnus Phenomenon, after the German scientist and chemist who first experimentally explored the effect in 1853.

The ball is pushed higher into the air by the Magnus Effect, which has an equal-and-opposite effect to the friction between the air and the ball.

A deflection in the direction perpendicular to the spinning axis and the velocity vector results from the spinning. Tennis players frequently use top or backspin when striking the ball.

When a fastball has a backspin, the upward Magnus Effect works against gravity to keep the ball in the air longer. When a curveball has topspin, however, the downward Magnus Effect works in favor of gravity to shorten the baseball's flight.

In skiing, there is no Magnus effect

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In which of these sports can one not observe the Magnus effect?

a) Baseball

b) Tennis

c) Basketball

d) Skiing

The magnitude of normal force (N) on motorcycle is 704.537 N

In this type of scenario, we have been told that the mass, denoted by "m," is 350 kilograms, that the speed of the motorcycle, denoted by "v," is 29 meters per second, and that the radius of curvature, denoted by "R," is 105 meters. We can utilize the second law of motion that Newton proposed to compute the magnitude of the normal force, which is as follows:

\(m . g - N = \frac{mv^{2} }{R}\)

By applying the formula above we have:

\(350 x 9.8 - N= \frac{350x29^{2} }{108}\)

3430 - N = 2725.46296

N = 3430 - 2725.46296

N = 704.537 N

Thus, the magnitude of normal force on motorcycle would be 704.537 N

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The value added by the baker is $3. The bread's contribution to GDP is the final sale price of the bread, which is $6

In this scenario, each person involved in the production and sale of the bread adds value to the final product. The concept of value added refers to the increase in the market value of a product at each stage of production.

The farmer grows the wheat and sells it for $1. The value added by the farmer is $1.

The miller processes the wheat into flour, increasing its value. The miller sells the flour to the baker for $3, so the value added by the miller is $3 - $1 = $2.

The baker uses the flour to make bread, further adding value to the product. The baker sells the bread to the engineer for $6, so the value added by the baker is $6 - $3 = $3.

The engineer consumes the bread, but since no further economic value is added, there is no additional value added by the engineer.

The bread's contribution to GDP (Gross Domestic Product) is the final sale price of the bread, which is $6. GDP measures the total value of all goods and services produced within a country's borders, and the sale of the bread represents the final output of the production chain.

Overall, the value added at each stage contributes to the final price of the bread, and the final sale price of the bread represents its contribution to GDP.

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soo helpful

Explanation:

this is so helpful thank you so much

The time interval between the student clapping his hands and hearing the first echo is 0.2 seconds. The time interval between the student clapping his hands and hearing the third echo is 0.6 seconds.

The question is based on echoes and involves the calculation of time taken to hear an echo. To calculate this, we can consider the echo reaching the student as a journey of sound, first going towards the building, and then reflecting back. Therefore, the total distance covered by the sound is twice the distance between the student and the building.

So, if the distance is 33m, the total distance covered is 66m. As the speed of sound is given as 330m/s, the time taken for the first echo = Distance / Speed = 66m / 330m/s = 0.2 seconds.

To hear the third echo, the same journey must be repeated three times. So, the time for the third echo would be 3 * 0.2s = 0.6 seconds.

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Newton's third law of motion

Here F_12 is the force due to the first body on the second body.

F_21 is the force due to the second body on the first body.

The negative sign indicates that the direction of force is opposite.

Example: Hitting the wall with your hand.

You are applying force on the wall with your hand and the wall will exert an opposite force on the hand of equal magnitude.

Answer:

The time for the rock to reach the bottom is 4.02 seconds.

Explanation:

Given;

mass of the rock, m = 5 kg

height of the rock fall, h = 79 meters

The time to drop to the given height is given by;

\(t = \sqrt{\frac{2h}{g} }\)

where;

t is the time to fall to the bottom

g is acceleration due to gravity = 9.8 m/s²

\(t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2*79}{9.8} }\\\\t = 4.02 \ s\)

Therefore, the time for the rock to reach the bottom is 4.02 seconds.

Answer:

the moment of inertia is 4.5 × 10⁻⁵ kg.m²  

Explanation:

Given that;

point mass m = 0.005 g = ( 0.005 / 1000 ) = 5 × 10⁻⁶ kg

perpendicular distance r = 3m

We know that a point mass doesn't have a moment of inertia around its own axis but, but using the parallel axis theorem, a moment of inertia around a distant axis of rotation can be determined using;

\(I_{}\) = mr²

so we substitute

\(I_{}\) = (5 × 10⁻⁶ kg) × (3 m)²

\(I_{}\) = (5 × 10⁻⁶ kg) × 9 m²

\(I_{}\)  = 4.5 × 10⁻⁵ kg.m²  

Therefore; the moment of inertia is 4.5 × 10⁻⁵ kg.m²  

The moment of inertia of given point mass is 4.5 × 10⁻⁵ kgm² at a perpendicular distance of 3 m.

The moment of inertia of given point mass can be determined by,

\(I = mr^2\)

Where,

\(I\)- moment of inertia

\(m\)- mass = 0.005 g = ( 0.005 / 1000 ) = 5 × 10⁻⁶ kg

\(r\) - perpendicular distance = 3 m

Put the values in the formula,

\(I = (5 \times 10^{-6}{\rm \ kg}) \times (3 {\rm \ m})^2\\\\I = 5 \times 10^{-6}{\rm \ kg} \times 9 {\rm \ m}\\\\I = 4.5 \times 10^{-5} kgm^2\)

Therefore; the moment of inertia of given point mass is 4.5 × 10⁻⁵ kgm².

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Answer:

Crown glass

Explanation:

We can use Snell's Law to determine the material through which the light is passing.

Snell's Law states that n1 sinθ1 = n2 sinθ2, where n1 and n2 are the indices of refraction of the two materials, θ1 is the angle of incidence, and θ2 is the angle of refraction.

In this case, we know that the angle of incidence is 26.7 degrees, and the angle of refraction is 36 degrees. We also know that air has an index of refraction of approximately 1.

Using Snell's Law, we can solve for the index of refraction of the material:

1 sin 26.7 = n2 sin 36

n2 = (1 sin 26.7) / (sin 36)

n2 ≈ 1.52

The index of refraction of the material is approximately 1.52. This corresponds to the index of refraction of crown glass, which is a common optical material used in lenses and prisms. Therefore, the light is most likely passing through crown glass.

The prefixes have the following values: micro=10^(-6), nano=10^(-9) and giga=10^9. Thus, Giga is the greatest.

Answer:

distance = 60 miles

Explanation:

The driver will not collide with deer, given that the reaction time is 0.50 seconds.

To determine if the driver will collide with deer or not, we shall determine the distance travelled by the car during the given time. Details below

s = ut + 1/2at²

s = (28 × 0.50) + (1/2 × 6 × 0.50²)

s = 14 + (3 × 0.25)

s = 14 + 0.75

s = 14.75 m

From the calculation made above, we can see that the distance travelled by the driver during the given time is 14.75 m.

Thus, we can conclude that the driver will not collide with the deer since the raection time only move the driver 14.75 m and the deer is 80 m away.

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Answer:

and is in photo given.I didn't get time to type.

To find the mass of the object, we can use the formula for kinetic energy:

Kinetic energy (KE) = (1/2) * mass * velocity^2

Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:

mass = (2 * KE) / (velocity^2)

Substituting the given values:

mass = (2 * 426 J) / (13 m/s)^2

mass = (2 * 426 J) / (169 m^2/s^2)

mass = 852 J / 169 m^2/s^2

mass = 5.04 kg

Therefore, the mass of the object is 5.04 kg.

Answer:

True

Explanation:

It definetly is because, if we are biased it sets us up to fail on some things.

Answer:

An object with negative acceleration could be speeding up, and an object with positive acceleration could be slowing down.

Explanation:

hope this helps

have a great day/night

Answer:

  19.  down

  20.  True

Explanation:

The examples I saw were projectiles launched at different angles and speeds. In each case, the only acceleration was ...

  19:  down

  20:  due to gravity (true)

The value of the angle for which the value of the resultant force is parallel to b-b is 6.35°. Therefore, the correct option is A.

An angle can be defined as the figure that is formed when two rays or lines shares a common endpoint.

Let the x and y-axis be shown here. If the resultant is directed along the x-axis, then its component in the y direction is zero.

0 = ΣFy = 300 sin θ + 300 sin (40 + θ) – 500 sin 30°

Therefore,  sin θ+ sin (40+ θ)= 500 sin 30°÷ 300

⇒ sin θ + sin (40 + θ) = 0.833

⇒ 2 sin (40 + θ + θ)÷ 2 × cos 40 + θ—θ) ÷ 2 = 0.833

⇒ 2 sin (20 + θ) × cos (20) = 0.833

⇒ θ = 6.35°

Hence, the value of angle is 6.35°. Therefore, the correct option is A.

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The question is incomplete, but most probably the complete question is,

Three forces acting at a point are shown in Fig. The direction of the 300 N forces may vary, but the angle between them is always 40°. Determine the value of θ for which the resultant of the three forces is directed parallel to b-b.

A. 6.35°

B. 6.00°

C. 7.40°

D. 4.81°

The time of motion of the object at the given speed and distance is 4 seconds.

The time of motion of the object is calculated as follows;

t = d/v

where;

t =  10/2.5

t = 4 s

Thus, the time of motion of the object at the given speed and distance is 4 seconds.

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Answer:

Heavy clothes

Explanation:

If you were to hang out in the thermosphere, though, you would be very cold because there aren’t enough gas molecules to transfer the heat to you. This also means there aren’t enough molecules for sound waves to travel through.

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.

Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.

The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:

P = ρgh + Po

where:

P is the absolute pressure at the given depth

ρ is the density of the water

g is the acceleration due to gravity (assumed to be 9.81 m/s²)

h is the depth of the ocean

Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)

Substituting the given values, we get:

P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa

P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa

P = 1.002 x 10^8 Pa.

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The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .

Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.

This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.

The number of protons in an atom is called the atomic number or Z-number.

The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.

Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.

However, different isotopes of an element can have different numbers of neutrons.

This means that they have a different atomic mass or A-number.

Therefore, they have the same A-number but different Z-number.

Therefore the correct Option is B.

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Answer:

B. 2.5

not 2.5m because IMA is unitless.

The identical mechanical advantage of the inclined plane is 2.5.

The concept of work, which asserts that work produced through a basic machine (the lever) is equal to the work input, forms the basis for the mechanical advantage of the inclined plane. The length of the slope divided by the height of the inclined plane represents the inclined plane's mechanical advantage.

Given parameters:

Length of the inclined plane; d = 5 m.

Height of the inclined plane; h = 2 m.

So, identical mechanical advantage (IMA) of the inclined plane is = Length of the inclined plane ÷ Height of the inclined plane

= 5 m/2 m

= 2.5.

Hence, the  identical mechanical advantage (IMA) of an inclined plane that is 5m long and 2m high is 2.5.

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Explanation:

hope this helps, cheers!

The values for the average speed and average velocity are;

(a) \(Average \ speed = 1.37\overline{142857} \ m/s\)

(b) \(The \ average \ velocity = 0.\overline{857142} \ m/s\)

The reason the above values are correct is given as follows;

The given parameters are;

Distance of the nearest grocery store to the house, d = 60 m

Direction of the grocery store = East from the house

Walking speed, s = 1.2 m/s

Time of walking before the rain started, t₁ = 15.0 s

Time it takes to go back to the house, t₂ = 5.0 s

Speed at which the start walking again, s = 1.2 m/s

(a) The formula for average speed, \(s_{avg}\), is given as follows;

\(s_{avg} = \dfrac{Total \ distance }{Sum \ of \ time \ taken}\)

The distance walked before the rain, d₁ = 1.2 m/s × 15.0 s = 18 meters

Distance covered on returning to the house = d₂ = d₁ = 18 meters

The total distance covered, ∑Distance = d₁ + d₂ + 60

∴ ∑Distance = 18 m + 18 m + 60 m = 96 m

The time, t₃, it takes to get to the grocery store on the second attempt after getting the umbrella is given as follows;

\(t_3 = \dfrac{d}{v}\)

\(t_3 = \dfrac{60 \ m}{1.2 \ m/s} = 50.0 \, s\)

The total time, ∑Time = t₁ + t₂ + t₃

∴ ∑Time = 15.0 s + 5.0 s + 50.0 s = 70.0 s

\(Average \ speed = \dfrac{\sum Distance}{\sum Time}\)

\(Average \ speed = \dfrac{96 \, m}{70 \, s} = \dfrac{48}{35} \ m/s= 1.37\overline{142857} \ m/s\)

\(Average \ speed = 1.37\overline{142857} \ m/s\)

(b) The average velocity, \(v_{avg}\), is given as follows;

\(v_{avg}= \dfrac{Total \ displacement}{Total \ time}\)

The total displacement = The total change in location = The change in location from the house to the grocery =  60 m

The total time is the same as for the average speed, ∑Time = 70 s

\(\therefore v_{avg}= \dfrac{60 \, m}{70 \, s} = \dfrac{6}{7} \ m/s = 0.\overline{857142} \ m/s\)

\(The \ average \ velocity = 0.\overline{857142} \ m/s\)

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Answer:

Mass doubles

Explanation:

Since F = ma, and given that the acceleration stayed constant, the mass must have changed. (Assuming thatt when the problem states the force doubles, they mean the net force doubles). Note, that the mass does not have to change if the acceleration is zero.

Answer:

18.51 J

Explanation:

First, we need to find the Kinetic energy of the disk. Since the disk travels in a straight line, we can use the formula \(K=\frac{1}{2}mv^2\):

\(Kdisk=\frac{1}{2} 0.033*33.5^2\\Kdisk=18.51 J\)

Since no other force is present, no friction, sound, or vibration, energy must be conserved. Therefore, the answer for both is 18.51 J.