. A motorist is speeding along at 33m/s when he sees a squirrel on the road 200 meters in
front of him. He tries to stop, but it takes 12 seconds for his car to stop
(a) What is the acceleration of the car? (assume acceleration was constant)
(b) Does the squirrel survive?
(c) How fast was the car moving at 100 meters?​

Answers

Answer 1

Hello!

a)

Use the kinematic equation to solve for the acceleration:

[tex]v_{f} = v_{i} + at[/tex]

In this instance, the final velocity is 0 because he comes to a stop. We can solve for the acceleration by plugging in the given values:

0 = 33 + (12)a

0 = 33 + 12a

-33 = 12a

-33 / 12 = a  --> a = -2.75 m/s²

b) Find the amount of distance necessary to stop. Use the formula:

[tex]v_{f} ^{2} = v_{i} ^{2} + 2ad[/tex]

Plug in the values:

0² = 33² + 2(-2.75 · d)

0 = 1089 - 5.5d

-1089 = -5.5d

d = 198 meters. Therefore, the squirrel would survive.

c)

Find the velocity at 100 meters by using the same formula as before:

[tex]v_{f} ^{2} = v_{i} ^{2} + 2ad[/tex]

However, in this instance, we are solving for the final velocity. Plug in the given points to solve:

vf² = 33² + 2(-2.75 · 100)

vf² = 1089 + (-550)

vf² = 539

vf = √539

vf ≈ 23.22 m/s.


Related Questions

convert one mean solar day into second​

Answers

Answer:

86400 seconds

Explanation:

To convert a mean solar day to second :

Number of hours in a solar day = 24 hours

Number of minutes per hour = 60 minutes

Number of seconds per minute = 60 minutes

Hence, the number of seconds in a solar day is :

(Number of hours in a solar day * number of minutes in an hour * number of seconds in a minute)

(24 * 60 * 60) seconds = 86400 seconds

Hence, 1 mean solar day = 86400 seconds

A density of solid 13g/cm³ at a temperature of 25°c was now heated to a temperature of 150°c find the new density of the solid ? Given linear expansivity to be 2 × 10⁻⁵ ?​

Answers

Answer:

13.4225 g/cm³

Explanation:

Given that:

Linear expansivity α = 2 * 10^-5

Change in temperature dt = t2 - t1 = (150 - 25)°c = 125°c

Initial density (d1) = 13

New density d2 =?

Using the relation :

α = (d2 - d1) / d1 * dt

d2 - d1 = d1 * dt * α

d2 = d1 + d1*dt*α

d2 = d1(1 + d1*dt*α)

d2 = 13( 1 + (13*125*2*10^-5))

d2 = 13(1 + 0.0325)

d2 = 13(1.0325)

d2 = 13.4225

d2 = 13.4225 g/cm³

A ball is launched with an initial horizontal velocity of 10.0 meters per second. It takes 500 milliseconds for the ball to reach its maximum height.
Determine the maximum horizontal distance that the ball will travel.
Calculate the initial vertical velocity of the ball.



Answers

Answer:

500ms times 2 would be when the ball reaches the max horizontal distance.

Then to find the angle, use the formula of time to reach max height t = u sin theta / g . With t being the max height time 500ms, u being 10m/s

For initial vertical velocity just use u sin theta.

The max horizontal height is "10 meters" and the initial vertical velocity is "4.9 m/s".

Given:

Horizontal velocity,

[tex]V_x = 10 \ m/s[/tex]

Time,

t = 500 m/s

At max height,

[tex]V_{yf} = 0 \ m/s[/tex]

(a)

Time to flight (T) will be:

= [tex]2t[/tex]

= [tex]2\times 0.5[/tex]

= [tex]1 \ second[/tex]

Horizontal distance will be:

= [tex]V_x\times T[/tex]

= [tex]10\times 1[/tex]

= [tex]10 \ meters[/tex]

(b)

→ The initial vertical velocity will be:

[tex]V_{yf} = V_y +gt[/tex]

   [tex]0 = V_y - 9.8\times 0.5[/tex]

  [tex]V_y = 4.9 \ m/s[/tex]

Thus the above answers are correct.

Learn more:

https://brainly.com/question/3698280

Pls help me with my work

Answers

I think it’s the first diagram

A truck weighs 500 N on Earth. What's the mass of the truck?
O 5 Kg
O 50 Kg
500 kg
500 N
PLEASE HURRY

Answers

The answer is 50 kg plz mark as brainliest

Answer:

Solution given:

Wight [W]=500N

gravity [g]=10m/s²

mass[m]=?

we have

W=mg

500=m*10

m=500/10

m=50kg

the mass of the truck is 50kg.

HELP PLEASE URGENT
If a 0.16 kg 8-ball at rest is hit by the 0.17 kg cue ball that is moving at a speed of 2 m/s, what is the speed of the 8-ball if the cue ball is completely stopped after the collision?

Answers

Answer:

The speed of the 8-ball is 2.125 m/s after the collision.

Explanation:

Law Of Conservation Of Linear Momentum

The total momentum of a system of masses is conserved unless an external force is applied. The formula for the momentum of a body with mass m and velocity v is

P=mv

If we have a system of masses, then the total momentum is the sum of them all

[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]

If a collision occurs, the velocities change to v' and the final momentum is:

[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]

In a system of two masses, the law of conservation of linear momentum takes the form:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]

The m1=0.16 Kg 8-ball is initially at rest v1=0. It is hit by an m2=0.17 Kg cue ball that was moving at v2=2 m/s.

After the collision, the cue ball remains at rest v2'=0. It's required to find the final speed v1' after the collision.

The last equation is solved for v1':

[tex]\displaystyle v'_1=\frac{m_1v_1+m_2v_2-m_2v'_2}{m_1}[/tex]

[tex]\displaystyle v'_1=\frac{0.16*0+0.17*2-0.17*0}{0.16}[/tex]

[tex]\displaystyle v'_1=\frac{0.34}{0.16}[/tex]

[tex]v'_1=2.125\ m/s[/tex]

The speed of the 8-ball is 2.125 m/s after the collision.

TRUE/FALSE::: Mechanical waves move through matter by taking the matter/ medium
with it and moving it a distance.

Answers

Answer:

FALSE

Explanation:

PLS MAKE ME AS BRAINLIST

Write the newtons formula for the velocity of sound in air .how did Laplace correct this formula ? ​

Answers

Answer:

1:    v = √E/ρ where E is the elasticity and ρ is the density. Newton's assumed that sound wave travel in air under isothermal condition

2:  He corrected Newton's formula by assuming that, there is no heat exchange takes place as the compression and rarefaction takes place very fast. Thus, the temperature does not remain constant and the propagation of the sound wave in air is an adiabatic process.

for a given force, if the mass of the object is doubled, its acceleration becomes ??

Answers

Force = Mass . Accelaration

f=ma

force is directly proportional to mass and accelaration

therefore when mass of the object is doubled, the accelaration would be halved

since

a=f/m

Which of these best defend defines whethera atomic fear contains over 30-year period b day-to-day conditions with the weather see long-term conditions of the atmosphere and the average

Answers

Answer: Climate

Explanation:

The climate is the constant condition of the atmosphere of a particular condition for a period of 30 years. It consider atmosphere for relatively long periods of time.

The averages of precipitation, humidity, wind speed, temperature, rainfall are considered while knowing the status of climate of a particular region or location.  Other parameters like fog, hail storms, and frost are also measured.

a group of interacting parts that move or work together

Answers

Answer:

A system is a group of interrelated interacting, or interdependent parts that for a complex whole. A system is a group of interrelated interacting, or interdependent parts that for a complex whole.

Explanation: Hope this helps ;)


[tex]x3n + 5x2n + 12xn + 18 \div xn + 3[/tex]

Answers

Answer:

sorry its impossible

Explanation:

What is the question? All you’ve given us is an expression.

a truck of mass 200kg rests on an inclined plane hindered from rolling down the surface by a storing sprint whose force constant is 10^6N/M.neglecting friction,how much work does the truck do on the spring?

Answers

Answer:

1.92 J

Explanation:

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

Mass (m) = 200 Kg

Spring constant (K) = 10⁶ N/m

Workdone =?

Next, we shall determine the force exerted on the spring. This can be obtained as follow:

Mass (m) = 200 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Force (F) =?

F = m × g

F = 200 × 9.8

F = 1960 N

Next we shall determine the extent to which the spring stretches. This can be obtained as follow:

Spring constant (K) = 10⁶ N/m

Force (F) = 1960 N

Extention (e) =?

F = Ke

1960 = 10⁶ × e

Divide both side by 10⁶

e = 1960 / 10⁶

e = 0.00196 m

Finally, we shall determine energy (Workdone) on the spring as follow:

Spring constant (K) = 10⁶ N/m

Extention (e) = 0.00196 m

Energy (E) =?

E = ½Ke²

E = ½ × 10⁶ × (0.00196)²

E = 1.92 J

Therefore, the Workdone on the spring is 1.92 J

How long does it take the lava bomb to reach its maximum height? Answer with three significant digits and the correct unit. A small volcano's steam pressure belches vertically upward a lava bomb from an initial height of 64.4 m and with an initial upward velocity of 31.4 m/s. Remember gravity's acceleration near earth is g = 9.8 m/s2 down.

Answers

Answer:

The time taken to reach the maximum height is 3.20 seconds

Explanation:

The given parameters are;

The initial height from which the volcano erupts the lava bomb = 64.4 m

The initial upward velocity of the lava bomb = 31.4 m/s

The acceleration due to gravity, g = 9.8 m/s²

The time it takes the lava bomb to reach its maximum height, t, is given by the following kinematic equation as follows;

v = u - g·t

Where;

v = The final velocity  = 0 m/s at maximum height

u = The initial velocity = 31.4 m/s

g = The acceleration due to gravity = 9.8 m/s²

t = The time taken to reach the maximum height

Substituting the values gives;

0 = 31.4 - 9.8 × t

∴ 31.4 = 9.8 × t

t = 31.4/9.8  ≈ 3.204

The time taken to reach the maximum height rounded to three significant figures = t ≈ 3.20 seconds

Assume that 10 waves pass a fixed point in 5 seconds. What is the frequency of the waves in hertz?

Answers

Answer:

2 hz

Explanation:

Hertz is cps or cycles per second.  10/5= 2 cps

The frequency of the waves when  10 waves pass a fixed point in 5 seconds is 2Hz.

What is wave ?

Wave is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase.

Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a transverse wave.

Frequency is nothing but numbers of revolution or number of cycles or number of waves in one second. its is expressed in Hertz (Hz) in SI unit.

Given,

Number waves = 10 waves

time = 5 seconds

Frequency = ?

Frequency = No of waves ÷ time

Frequency  = 10 ÷ 5

Frequency = 2 Hz

Hence frequency of the wave is 2 Hz.

To know more about waves :

https://brainly.com/question/19477984

#SPJ3.

Four identical bulbs are set up in a series circuit with an 8V battery. The voltage across each bulb is...

Answers

Explanation:

Voltage across each bulb = 8V / 4 = 2V (Potential difference)

Answer:

2 (8 ÷ 4) volts.

According to the passage, in a series circuit, “the voltage is shared across all the bulbs.” If the bulbs are of equal resistance, the voltage across each will be ¼ of the battery’s 8 volts or 2 volts.

i got it right on flocabulary.com

Explanation:

BEARS
Timothy made the model shown below to represent the steps in the formation of a torrado
Severe
thunderstorm
High winds
push
clouds
Rotation
within
thunderstorm
O2010 FLVS
Which of these best fits the empty cell in Timothy's model? (2 points)
O cool, dry air forms clouds
O cool, dry air meets warm, moist air
O water vapor condenses in douds
O water vapor evaporates from ocean

Answers

Answer: cool, dry air meets warm, moist air

Explanation:

Just did the test, it was correct

Answer:

cool, dry air meets warm, moist air

Explanation:

I took it and I pass

A race car, moving initially with a speed of 15.0 m/s, is capable of accelerating at a rate of 6.0 m/s?. What will be the speed
of this car after accelerating for a time period of 8.00 seconds?
m/s

Answers

Answer:

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Explanation:

[tex]v_{f}=v_{i}+a\cdot t[/tex]

[tex]v_{f}=15\ +\ 6\cdot8[/tex]

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Therefore, the speed of the car is 63m/s after 8 seconds while accelerating at it maximum capability.

The speed of sound is 344 m/sec when the air is 20 degrees Celsius how far is the source of the sound if it takes 8 seconds for the sound to reach you?

Answers

Answer: 2752 m

Explanation:

344*8=

How does an increase in thermal energy affect the particle motion in each state of matter?

Answers

Answer:

Explanation:

A rise in temperature increases the kinetic energy and speed of particles; it does not weaken the forces between them. The particles in solids vibrate about fixed positions; even at very low temperatures. Individual particles in liquids and gases have no fixed positions and move chaotically.

This is a two part question:
What is the magnitude net force acting on an object that is pushed by a 430N and experiences 120N force?
430N
120N
310N
550N

If a net force of 375N is acting on a crate and there is 65N of friction
created, what is the magnitude net force the crate experiences?
375N
65N
310N
440N

Answers

Answer:

1. 310 N

2. 310 N

Explanation:

1. Determination of the net force.

Force applied (Fₐ) = 430 N

Force experience (Fₑ) = 120 N

Net force (Fₙ) =?

Fₙ = Fₐ – Fₑ

Fₙ = 430 – 120

Fₙ = 310 N

Hence, the net force acting on the crate is 310 N

2. Determination of the net force.

Force applied (Fₐ) = 375 N

Force of friction (Fբ) = 65 N

Net force (Fₙ) =?

Fₙ = Fₐ – Fբ

Fₙ = 375 – 65

Fₙ = 310 N

Hence, the net force acting on the crate is 310 N.

Distance = 500 miles

Time = 10 hours

Average Speed = ?????

Answers

Average speed= 50mph

A 43 kg box is being pushed and pulled by
three forces. The first force is 155 N to the
right. The second force is 227 N to the left.
The third force is 113 N to the right. What is
the acceleration of the box?

Answers

Answer:

a = - 0.209 [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.

∑F = m*a

We will take the positive forces to the right and the negative forces to the left.

[tex]155-277+113=43*a\\-9=43*a\\a = - 0.209[m/s^{2} ][/tex]

The negative sign means that the box accelerates in a negative direction to the left.

An object has a momentum of 56.59 kg*m/s and a velocity of 5.3 m/s. What 1 point
is the mass of the object? *

Answers

Answer:

10.68 kg

Explanation:

The mass of the object can be found by using the formula

[tex]m = \frac{p}{v} \\ [/tex]

p is the momentum

v is the velocity

From the question we have

[tex]m = \frac{56.59}{5.3} \\ = 10.677358...[/tex]

We have the final answer as

10.68 kg

Hope this helps you

A baseball is thrown upward at 20m/s. At what time is the ball 10m above the point at which it was released?​

Answers

Answer:

0.583 seconds

Explanation:

We are dealing with free-fall motion, which has a constant acceleration of -g, acceleration due to gravity, so we can use a constant acceleration equation to solve this problem.

List out known variables and the variable that we want to solve for:

v_0 = 20 m/sa = -9.8 m/s² Δx = 10 mt = ?

Find the kinematic equation that contains all four of these variables:

Δx = v_0 t + 1/2at²

Plug known values into the equation.

10 = 20 t + 1/2(-9.8)t²

Distribute 1/2 inside the parentheses.

10 = 20t - 4.9t²

Set the equation equal to 0 and rearrange the terms so they are in descending degree order.

0 = -4.9t² + 20t - 10  

Factor this equation by using the quadratic formula. You should get:

t = 3.498 s, t = 0.583 s

Let's look at these numbers within the context of the problem. If the ball's speed is 20 m/s, then after 1 second, it would reach a height of 20 m.

However, we want to find the time that it would take the ball to reach a height of 10 m, which is half of 20 m. Therefore, the time to reach 10 m should be around 0.5 seconds.

t = 0.583 is the closest to 0.5 seconds, and it fits within the context of the problem. Therefore, the answer is 0.583 seconds.

To find motion and distance time graph which formula we have to use please tell.

Answers

Answer:

umm nobody can solve this without a picture of what it is......

Explanation:

Which of these is the part of the cell that contains hereditary material?


interphase


mitosis


chromosome


embryo

Answers

I would go with chromosome for a number of reasons

-hope this was helpful and you can mark it brainlest
chromosome ...............

what is the correct answer?

Answers

Answer:

-1/6 im sure to this answer

Explanation:

mark brainliest

Answer:

-1/6

Explanation:

pick her as the brainliest

Francine is standing on the edge of a cliff. She determines that she has 6615J of gravitational potential energy relative to the bottom of the cliff. If she has a mass of 45kg, how high is the cliff?

Answers

Answer:

h = 14.98 [m]

Explanation:

We can calculate this height using the definition of potential energy, which tells us that this energy is equal to the product of mass by gravitational acceleration by height. In this way we can find the height, by means of the following equation:

[tex]E_{pot}=m*g*h[/tex]

where:

Epot = potential energy = 6615 [J]

m = mass = 45 [kg]

g = gravity acceleration = 9.81 [m/s²]

h = elevation [m]

[tex]6615 = 45*9.81*h\\h = 14.98 [m][/tex]

Explain why it is important that the balloon is made from an electrical insulator.

Answers

Explanation:

object made of rubber, such as the ballons are elecrical insulators, meaning that they resist electric charges flowing through them..

when the ballon has been rubbed enough times to gain a sufficient negative charge, it will be attracted to the wall

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