A roller coaster features a near vertical drop of 95 meters. If the initial velocity was zero, the mass of the cart and riders was 1,000 kg, and the velocity at the end of the drop was 35 m/s, how much of the potential energy was converted into thermal energy?319 kJ218 kJ342 kJ276 kJ

My family car has a tank size of 19 gallons, and it is fueled twice a week at about 8 gallons each time. It's yearly carbon emission is about 16,254 pounds per year.

To estimate the weekly gasoline consumption, we multiply the number of refills (2) by the amount of gasoline added each time (8 gallons):

Therefore weekly gasoline consumption 2 refills/week at 8 gallons per refill = 16 gallons/week

c. The emission factor for carbon dioxide is approximately 19.55 pounds per gallon.

Therefore, to obtain the weekly emissions,

Multiply the weekly gasoline consumption 16 gallons by the emission factor of carbon dioxide 19.55 pounds per gallon.

Weekly carbon dioxide emissions is 16 gallons/week * 19.55 pounds/gallon

= 312.8 pounds/week

Monthly emissions: Multiply the weekly emissions 312.8 pounds by the number of weeks in a month approximately 4.35) to get the monthly carbon dioxide emissions

Monthly carbon dioxide emissions is 312.8 pounds per week * 4.35 weeks per month

≈ 1,359 pounds/month

Yearly emissions: Multiply the weekly emissions 312.8 pounds by the number of weeks in a year approximately 52 to get the yearly carbon dioxide emissions.

Yearly carbon dioxide emissions is 312.8 pounds per week * 52 weeks per year

≈ 16,254 pounds/year

Learn more on carbon emission here https://brainly.com/question/1301348

#SPJ1

With the application of resolution of vectors, the horizontal velocity is 23.99995 m/s

Uniform speed is also known as constant speed. This can be defined when the distance travel by an object per time taken is constant.

Given that a truck travels up a hill with a 6.9" incline. The truck has a constant speed of 24 m/s.

First convert minute to degree.

1 minute = 0.0166667

6.9 minute = 6.9 × 0.016667 = 0.115 degree

The formula for the horizontal component of the truck's velocity will be UcosФ, while the vertical component is UsinФ

Substitute all the parameters into the equation.

Horizontal velocity = 24cos 0.115 = 23.99995 m/s

Therefore, the horizontal component of the truck's velocity will be 23.99995 m/s which can be approximated to 24 m/s

Learn more about Velocity here: https://brainly.com/question/24767211

#SPJ1

Answer:

A, AND B,

Explanation: just trust me bro

Answer:

Assignment: Calculating Speed Investigation

Data Analysis:

Note: Please submit your data table with this assignment.

1. Write your original hypothesis here.

2. Calculate the average time for vehicle 1 from the information in your data table. Show all work.

3. Calculate the average time for vehicle 2 from the information in your data table. Show all work.

4. Calculate the average speed for vehicle 1 from the information in your data table. Show all work, including the formula used.

5. Calculate the average speed for vehicle 2 from the information in your data table. Show all work, including the formula used.

Conclusion:

Think about this information and then write a conclusion based on the data of this experiment. Don’t forget to connect the conclusion to the original hypothesis.

Were you able to support your hypothesis or not? Be sure to base your answer on the data you collected. Consider whether your conclusion is the only explanation for the data you collected or if there could be alternate explanations. Don’t forget to mention any scientific laws or theories you have studied that would apply to this experiment.

Follow-up Questions:

1. If your experiment did not seem to match the expected results, what did you learn from the experience?

2. Instantaneous speed is the rate of motion of an object at a particular moment in time. What change(s) to the experimental procedure would be necessary if you wanted to gather data on instantaneous speed?

and as for the data can you please make your own

Explanation:

Assignment: Calculating Speed Investigation

Data Analysis:

Note: Please submit your data table with this assignment.

1. Write your original hypothesis here.

2. Calculate the average time for vehicle 1 from the information in your data table. Show all work.

3. Calculate the average time for vehicle 2 from the information in your data table. Show all work.

4. Calculate the average speed for vehicle 1 from the information in your data table. Show all work, including the formula used.

5. Calculate the average speed for vehicle 2 from the information in your data table. Show all work, including the formula used.

Conclusion:

Think about this information and then write a conclusion based on the data of this experiment. Don’t forget to connect the conclusion to the original hypothesis.

Were you able to support your hypothesis or not? Be sure to base your answer on the data you collected. Consider whether your conclusion is the only explanation for the data you collected or if there could be alternate explanations. Don’t forget to mention any scientific laws or theories you have studied that would apply to this experiment.

Follow-up Questions:

1. If your experiment did not seem to match the expected results, what did you learn from the experience?

2. Instantaneous speed is the rate of motion of an object at a particular moment in time. What change(s) to the experimental procedure would be necessary if you wanted to gather data on instantaneous speed?

and as for the data can you please make your ownWhich sentence uses a superlative adjective correctly?

Anthony is running more quickly than anyone else on the field.

Shalon is a very talented pianist.

That is the best chocolate cake I have ever tasted.

Ani is the better gymnast of the two.

Which statement best compares and contrasts the purpose of "PROSERPINE" to that of "How Old Man Winter Was Driven Back"?

The Greek myth explains the creation of the earth, while the Iroquois myth also explains why there is evil in the world.

The Greek myth explains the creation of the earth, while the Iroquois myth also explains the creation of the moon.

The Greek myth explains the changing of the seasons as well as the existence of the underworld, while the Iroquois myth also explains the changing of the seasons.

The Greek myth explains the creation of the moon, while the Iroquois myth explains the creation of the sun.

Read the passages:

from "How Old Man Winter Was Driven Back"

"I, too, am powerful, and I am young! I do not fear you. When I touch the earth, it grows soft and warm. Every living thing stirs in its sleep,—birds and bees, flowers and trees, animals and men. When I speak, the sleeping sun awakes. See! Already he begins to send down his arrows. Hasten! that they may not find you, on the trail to the North Sky."

from "How the World Was Made"

Even some of the trees went to sleep. Only the cedar, the pine, the spruce, the holly, and the laurel were awake all seven nights. Therefore they are always green. They are also sacred trees. But to the other trees it was said, “Because you did not stay awake, therefore you shall lose your hair every winter.”

Which best uses textual evidence to compare and contrast these two myths?

Both myths show the change in seasons as a violent battle.

In "How Old Man Winter Was Driven Back," the change in

False - Not all poisons are made in labs. Many naturally occurring substances can also be poisonous, such as certain plants and animals.

True - People can be exposed to toxins through ingestion (eating or drinking), inhalation (breathing in), injection (such as with drugs), and absorption through the skin.

False - Poisoning is not a very common method of murder today. While it does happen, other methods such as firearms, suffocation, and blunt force trauma are more common.

False - There are more than 4 types of controlled substances. In the United States, controlled substances are categorized into 5 schedules based on their potential for abuse and medical use.

The 5 groups of controlled substances in the US are:

Schedule I: Substances with no currently accepted medical use and a high potential for abuse, such as heroin and LSD.

Schedule II: Substances with a high potential for abuse and dependence, but also with currently accepted medical uses, such as morphine and cocaine.

Schedule III: Substances with a lower potential for abuse and dependence than Schedule II drugs, but still with accepted medical uses, such as anabolic steroids and some barbiturates.

Schedule IV: Substances with a lower potential for abuse and dependence than Schedule III drugs, such as benzodiazepines and some prescription stimulants.

Schedule V: Substances with the lowest potential for abuse and dependence, such as cough medicines containing small amounts of codeine.

The common effects of each group vary, but they can include pain relief, sedation, euphoria, and other psychoactive effects.

Anabolic steroids can have many harmful effects on the body, including:

Alcohols can be toxic to many tissues in the body, including the liver, brain, and gastrointestinal tract.

Bioterrorism is the deliberate release of biological agents (such as bacteria or viruses) with the intent to harm or kill people, animals, or plants.

Strychnine is a highly toxic substance that can cause muscle spasms and convulsions, leading to respiratory failure and death. Other symptoms can include restlessness, agitation, and high blood pressure.

Learn more about poison on:

https://brainly.com/question/21019313

#SPJ1

Answer:

Explanation:

The electric force between two protons is 10^36 times stronger than the gravitational force between them.

Answer:

Electric force is 1.23 x 10³⁶ times stronger than gravitational force.

Explanation:

First, we will calculate the gravitational force using Newton's Law:

\(F_G = \frac{Gm^2}{r^2}\\\\\)

where,

F_G = Gravitational Force = ?

G = Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²

m = mass of proton = 1.67 x 10⁻²⁷ kg

r = distance between protons

Therefore,

\(F_G = \frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^2)(1.67\ x\ 10^{-27}\ kg)^2}{r^2}\\\\F_G = \frac{1.86\ x\ 10^{-64}\ Nm^2}{r^2}\\\\\)

Now, we will calculate the electrostatic force using Colomb's Law:

\(F_E = \frac{kq^2}{r^2}\\\\\)

where,

F_E = Electrostatic Force = ?

k = Colomb's Constant = 9 x 10⁹ Nm²/C²

q = charge of proton = 1.6 x 10⁻¹⁹ C

r = distance between protons

Therefore,

\(F_E = \frac{(9\ x\ 10^{9}\ Nm^2/kg^2)(1.6\ x\ 10^{-19}\ C)^2}{r^2}\\\\F_E = \frac{2.3\ x\ 10^{-28}\ Nm^2}{r^2}\\\\\)

Dividing both forces:

\(\frac{F_E}{F_G} = \frac{2.3\ x\ 10^{-28}}{1.86\ x\ 10^{-64}}\)

F_E = 1.23 x 10³⁶ F_G

Therefore, electric force is 1.23 x 10³⁶ times stronger than gravitational force.

To correct the issue of flipped imagery caused by mirrors you can use a technique called "mirror flipping". Mirror flipping involves using a second mirror to reflect the reflected image from the first mirror which then flips it back to its original orientation

Alternatively you can use a prism to correct the orientation of the image. A prism is a transparent object that can bend light. By placing it infront of the mirror you can reflect the twice, effectively helping in the correction of the orientation of the image

To know more about Flipped Images refer to this link:

https://brainly.com/question/29023559

Answer:

Option C. is correct

Explanation:

The magnetic field is the area around a magnet in which there is magnetic force. When an electric current flows through a wire a  magnetic field is created. A single wire does not produce a strong magnetic field. So, to increase the power  of the magnetic field, increase the number of coils in the wire.

Answer:

30.3 meters, 172 degrees.

Explanation:

There is decreased pressure on the air molecules as one moves higher and the air is thinner

We know that the air pressure decreases with height. This implies that the air is thinner as you move up to higher altitude. This is the idea behind the use of the phrase; "Thin air".

Now, owing to the fact that there is decreased pressure on the air molecules as one moves higher and the air is thinner, it is much harder to breath until her aunt adjusts to the higher altitude.

Learn more about air pressure:https://brainly.com/question/15189000

#SPJ1

Answer:

a = 0.9139 [m/s²]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

The forces are on two different axes, x & y axes (North and East). In this way, the Pythagorean theorem should be used to determine the total force.

Fx = 1800 [N]

Fy = 1050 [N]

\(F = \sqrt{(F_{x} )^{2} +(F_{y} )^{2} } \\F=\sqrt{(1800)^{2} +(1050)^{2} } \\F=2083[N]\)

Now using Newton's second law.

ΣF = m*a

where:

F = force = 2083.8 [N] (units of Newtons)

m = mass = 2280 [Kg]

a = acceleration [m/s²]

2083.8 = 2280*a

a = 0.9139 [m/s²]

The relative velocity is 17m/s.

The relative velocity of the passenger relative to the ground can be found by applying the concept of relative motion.

speed of bus (vb)=12m/s

speed of passenger inside the bus(vp)= 5m/s opposite to the speed of bus

speed of passenger relative to the ground = v

v= vb+vp

v= 12+(-5), since passenger is traveling in opposite direction

v=7m/

Therefore, the velocity of passenger relative to the ground is 7m/s.

To know more about Relative velocity, click on

The vector values are '21 kilometers north'   and '1 cm in the positive c-direction'.

Given:

The following values:

To find:

The vector values from the given values.

Solution:

The vector quantities are those quantities with magnitude and direction.

Scalar quantities are those quantities with only magnitude and no direction.

The vector values are '21 kilometers north'   and '1 cm in the positive c-direction'.

Learn more about scalar and vector quantities here:

brainly.com/question/21925479?referrer=searchResults

brainly.com/question/9972743?referrer=searchResults

Answer:

B) Mass is a measurement of force

Explanation:

Mass is not a measurement of force, mass is a measurement of the amount of matter in an object.

Laasya is performing resistance training by lifting a table and moving it to another room to expand the space in her room. The correct option to this question is D.

For more information on resistance training kindly visit to

https://brainly.com/question/28936785

#SPJ1

Complete question : Laasya is lifting a table and moving it to another room to expand the space in her room. What mode of strength-training is Laasya performing?

a. Endurance

b. Isometric

c. Isotonic

d. Resistance

The length of the pendulum is measured from the lower part of the wooden clamp, because the center of gravity is at the center of the bob.

The simple pendulum's length, l is determined by measuring it from the point of suspension to the center of gravity (center of the bob), which is the place where all of this sphere's mass is concentrated.

The center of the mass will exactly reside in the center of the bob when we take the bob's dimensions into account.

As a result, the total length is now equal to the length of the string plus the bob's radius. The length is thus measured from the lower part of the wooden clamp.

To learn more about pendulum, click:

https://brainly.com/question/14670115

#SPJ1

After the impact, the two players are moving side by side at a speed of roughly 4.12 m/s.

Momentum is never created or destroyed inside a problem domain, according to the principle of momentum conservation. Momentum is only changed by the action of forces as they are described by Newton's equations of motion.

\(p1 = m1 * v1 + m2 * v2\)

\(p1 = 165 kg * 0 m/s + 178 kg * 8 m/s = 1424 kg*m/s\)

\(p2 = (m1 + m2) * v\)

Substituting the values, we get:

\(p2 = (165 kg + 178 kg) * v = 343 kg * v\)

Since the total momentum is conserved, we can equate p1 and p2:

p1 = p2

\(165 kg * 0 m/s + 178 kg * 8 m/s = 343 kg * v\)

\(v = (165 kg * 0 m/s + 178 kg * 8 m/s) / 343 kg ≈ 4.12 m/s\)

To know more about speed visit:-

https://brainly.com/question/28224010

#SPJ1

The situation described is shown below:

From the diagram we notice that the velocity due north will be related to the opposite leg of the angle given and the west component will be related to the adjacent leg. With this in mind:

a)

The component due north can be calculated using the sine function since it is related to the opposite leg, then we have:

Therefore, the velocity component due north is 16.1 m/s

b)

This component will be related to the cosine function, then we have:

Therefore, the velocity component due west is 12.1 m/s

Explanation:

Here is the first one....you should try the second one...

Answer:

- the effective lift area for the aircraft is 8.30 m²

- the required engine thrust is 1275 N

- required power is 79.7 kW

Explanation:

Given the data in the question;

Speed V = 225 km/hr = 62.5 m/s

The lift coefficient CL = 0.45

drag coefficient CD = 0.065

mass = 900 kg

g = 9.81 m/s²

a)  the effective lift area for the aircraft

we know that for a steady level flight, weight = lift and thrust = drag

Using the equation for the lift force

F\(_L\) = C\(_L\)\(\frac{1}{2}\)ρV²A = W

we substitute

0.45 × \(\frac{1}{2}\) × 1.21 × ( 62.5 )² × A = ( 900 × 9.81 )

1081.05 × A = 8829

A = 8829 / 1081.05

A = 8.30 m²

Therefore, the effective lift area for the aircraft is 8.30 m²

b) the required engine thrust and power to maintain level flight.

we use the expression for drag force

F\(_D\) = T = C\(_D\)\(\frac{1}{2}\)ρV²A

we substitute

= 0.065 × \(\frac{1}{2}\) × 1.21 × ( 62.5 )² × 8.30

T = 1275 N

Since drag and thrust force are the same,

Therefore, the required engine thrust is 1275 N

Power required;

P = TV

p = 1275 × 62.5

p = 79687.5 W

p = ( 79687.5 / 1000 )kW

p = 79.7 kW

Therefore, required power is 79.7 kW

Answer:

ok

Explanation:

will do

Answer:

sure

Explanation:

Answer:

Explanation:

Loss of lives and property: Immediate impacts of flooding include loss of human life, damage to property, destruction of crops, loss of livestock, non-functioning of infrastructure facilities and deterioration of health condition owing to waterborne diseases. Flash floods, with little or no warning time, cause more deaths than slow-rising riverine floods.

Loss of livelihoods: As communication links and infrastructure such as power plants, roads and bridges are damaged and disrupted, economic activities come to a standstill, resulting in dislocation and the dysfunction of normal life for a period much beyond the duration of the flooding. Similarly, the direct effect on production assets, be it in agriculture or industry, can inhibit regularly activity and lead to loss of livelihoods. The spill over effects of the loss of livelihoods can be felt in business and commercial activities even in adjacent non-flooded areas.

Decreased purchasing and production power: Damage to infrastructure also causes long-term impacts, such as disruptions to clean water and electricity, transport, communication, education and health care. Loss of livelihoods, reduction in purchasing power and loss of land value in the flood plains lead to increased vulnerabilities of ties living in the area. The additional cost of rehabilitation, relocation of people and removal of property from flood-affected areas can divert the capital required for maintaining production.

Mass migration: Frequent flooding, resulting in loss of livelihoods, production and other prolonged economic impacts and types of suffering can trigger mass migration or population displacement. Migration to developed urban areas contributes to the overcrowding in the cities. These migrants swell the ranks of the urban poor and end up living in marginal lands in cities that are prone to floods or other risks. Selective out-migration of the workforce sometimes creates complex social problems.

Psychosocial effects: The huge psycho-social effects on flood victims and their families can traumatize them for long periods of time. The loss of loved ones can generate deep impacts, especially on children. Displacement from one’s home, loss of property and livelihoods and disruption to business and social affairs can cause continuing stress. The stress of overcoming these losses can be overwhelming and produce lasting psychological impacts.

Hindering economic growth and development: The high cost of relief and recovery may adversely impact investment in infrastructure and other development activities in the area and in certain cases may cripple the frail economy of the region. Recurrent flooding in a region may discourage long-term investments by the government and private sector alike. Lack of livelihoods, combined with migration of skilled labour and inflation may have a negative impact on a region’s economic growth. Loss of resources can lead to high costs of goods and services, delaying its development programmes.

Political implications: Ineffective response to relief operations during major flood events may lead to public discontent or loss of trust in the authorities or the state and national governments. Lack of development in flood-prone areas may cause social inequity and even social unrest posing threat to peace and stability in the region.

Answer:

Δτ = 50 N.m

Explanation:

The torque applied on an object is given by the product of the force applied on it and the perpendicular distance between the force and the axis of rotation of the object. That is:

τ = F r

where,

τ = Torque applied on the object

F = Force applied on it

r = distance from axis of rotation

FOR HANDLE SIDE OF DOOR:

τ₁ = F r₁

where,

τ₁ = Torque applied on the object = ?

F = Force applied on it = 100 N

r₁ = distance from axis of rotation = 1 m

Therefore,

τ₁ = (100 N)(1 m)

τ₁ = 100 N.m

FOR MIDDLE OF DOOR:

τ₂ = F r₂

where,

τ₂ = Torque applied on the object = ?

F = Force applied on it = 100 N

r₂ = distance from axis of rotation = 1 m/2 = 0.5 m

Therefore,

τ₂ = (100 N)(0.5 m)

τ₂ = 50 N.m

Now, the difference between the amount of torque in both cases is:

Δτ = τ₁ - τ₂

Δτ = 100 N.m - 50 N.m

Δτ = 50 N.m

Answer:

Explanation:

convert the mass from g to kg

1 g = 0,001 kg

m1 =559,5 g = 5,595 kg

m2 = 569,3 g = 5,569 kg

Newtons second Law

F = m *a = m * g

g = 10 m/s^2

a_y = g ((m_2 - m_1) / (m_2+m_1))

a_y = 10 m/s^2 * ((5,569kg -5,595kg) / (5,569kg + 5,595kg))

a_y = 10 m/s^2 [(-0,026kg) / 11,164kg]

a_y = 10 m/s^2 (-0,0023)kg

a_y = - 0,023 kg m / s^2

Answer:

The right approach is "8.1 m/s". A further explanation is provided below.

Explanation:

According to the table,

Speed of Boat

= \(\frac{s}{t}\)

\(V_b=\frac{140}{20}\)

\(V_a = 4 \ m/s\)

\(V_B = 7 \ m/s\)

Now,

⇒  \((V_{relative})^2 = (7)^2+(4)^2\)

or,

⇒  \((V_r)^2=49+16\)

              \(=65\)

         \(V_r=\sqrt{65}\)

              \(=8.1 \ m/s\)

Explanation:

Yes, there are differences in the shapes of position-time graphs for uniform acceleration and uniform deceleration in different directions. Let's consider each case separately:\(\hrulefill\)

(1) - Uniform acceleration towards the positive direction:

In this case, the object is moving in the positive direction with a constant acceleration. The displacement-time graph will typically be a curve that starts from an initial position and shows a steady increase in displacement over time. The shape of the graph will depend on the specific acceleration value.

(2) - Uniform acceleration towards the negative direction:

In this case, the object is moving in the negative direction with a constant acceleration. The displacement-time graph will also be a curve, but it will show a steady decrease in displacement over time.

(3) - Uniform deceleration towards the positive direction:

In this case, the object is initially moving in the positive direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a positive slope and gradually levels off.

(4) - Uniform deceleration towards the negative direction:

In this case, the object is initially moving in the negative direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a negative slope and gradually levels off.

Answer:

A) U = - GMm/r

B) K = 0.5 mGM/r

Explanation:

A) The potential energy U of the satellite

U = - GMm/r

G = universal gravitational constant which is ( 6.67e-11 Nm^2/c^2 )

M = mass of the planet

m = mass

r = distance ( radius )

B) Kinetic energy

kinetic energy expressed as K = 0.5 m Vo^2

NOTE : Vo^2 = GM / r

hence kinetic energy will be expressed as

K = 0.5 mGM/r

The terminal velocity of the block is approximately 2.08 m/s when it is traveling downward with a drag coefficient of 0.822.

How to calculate terminal velocity?

To calculate the terminal velocity of the block, we need to use the equation for terminal velocity which is:

v_terminal = sqrt((2mg)/(ρAC_d))

where:

First, let's convert the dimensions of the block from centimeters to meters:

width = 16.0 cm = 0.16 m

length = 19.0 cm = 0.19 m

height = 25.0 cm = 0.25 m

Next, let's calculate the cross-sectional area of the block:

A = width * length = 0.16 m * 0.19 m = 0.0304 m^2

Now we can substitute the values into the equation for terminal velocity:

v_terminal = sqrt((24.55 kg9.81 m/s^2)/(1.43 kg/m^30.0304 m^20.822))

v_terminal = 2.08 m/s

Therefore, the terminal velocity of the block is approximately 2.08 m/s when it is traveling downward with a drag coefficient of 0.822.

To learn more about terminal velocity, visit: https://brainly.com/question/30468484

#SPJ1

The number of turbines needed to meet the need if the average output of each turbine is 0.5W is 10000000 turbines

From the question given above, the following data were obtained:

From the given data, we can simply determine the number of turbines needed by the factory as follow:

Number of turbines = Total power / Power per turbine

Number of turbines = 5000000 / 0.5

Number of turbines = 10000000 turbines

Therefore, the number of turbines needed by the factory is 10000000 turbines

Learn more about conversion:

https://brainly.com/question/2139943

#SPJ1

Answer:

The time period of the empty car will be "1.00 s".

Explanation:

The given values in the question will be:

Mass,

m = 250 kg

Loaded car's time period will be:

T = 1.08 s

Shock absorbers compression,

x = 4 cm

or,

  = 0.04 m

Now,

Weight of passengers will be:

⇒  \(F=mg\)

         \(=250\times 9.8\)

         \(=2450 \ N\)

The spring constant of shock absorbers will be:

⇒  \(k=\frac{F}{x}\)

        \(=\frac{2450}{0.04}\)

        \(=61.250 \ N/m\)

As we know,

Time period, \(T = 2 \pi\sqrt{\frac{M}{k} }\)

On substituting the values, we get

                   \(1.08=2\pi \sqrt{\frac{M}{61250} }\)

                  \(\frac{M}{61250}=0.02955\)

                      \(M=0.02955\times 61250\)

                           \(=1809.6 \ kg\) (Total mass of car as well as its passengers)

Now,

The mass of the empty car will be:

⇒  \(m'=M-m\)

          \(=1809.6-250\)

          \(=1559.6 \ kg\)

hence,

The time period of empty car will be:

⇒  \(T'=2\pi\sqrt{\frac{m'}{k} }\)

         \(=2\pi\sqrt{\frac{1559.6}{61250} }\)

         \(=2\pi \sqrt{0.0254}\)

         \(=1.003 \ s\)

or,

         \(=1.00 \ s\)