A car traveling at 35.6m/s crashes into a concert barrier and comes to a stop in 0.35 seconds. Calculate the average force applied to the 75kg driver.A 3.2kg steel ball traveling at 4.1m/s strikes a second ball of a mass 2.3kg Initially at rest. Calculate the velocity of the second ball when the first one continues traveling in the same direction with a speed of 1.5m/s2 balls of putty are shot towards one another. Ball 1 has a mass of 4.3kg and is moving at 18.6m/s . Ball 2 has a mass of 5.8kg and is moving at 9.5m/s. They collide and stick together. Calculate their final combine velocity.I really appreciate those attempting the problems. I do know the answers but I’m unaware of the steps to get there. Please include all formulas in your response and steps so I can learn and understand.Check your answer:7629N3.6m/s2.46m/sThank you all!

Answers

Answer 1

The force on the driver is 7629 N. The velocity of the second ball is 3.6 m/s. The combined velocity of the balls is 13.37 m/s.

We have to find the acceleration using;

v = u - at

v = final velocity = 0 m/s

u = initial velocity = 35.6m/s

a = acceleration = ?

t = time = 0.35 s

u = at

a = u/t = 35.6m/s / 0.35 s

a = 101.7 ms-2

The force on the driver =  75kg ×  101.7 ms-2 = 7629 N

Using the principle of conservation of momentum;

Momentum before collision = momentum after collision

m1u1 +m2u2 = m1v1 + m2v2

Hence

(3.2 × 4.1) + 0 = (3.2 × 1.5) + 2.3v2

13.12 = 4.8 + 2.3v2

13.12 - 4.8 = 2.3v2

v2 = 13.12 - 4.8/2.3

v2 = 3.6 m/s

Using the principle of conservation of linear momentum;

m1u1 + m2u2 = m1v1 + m2v2

(4.3 × 18.6) + (5.8 × 9.5) = (4.3 + 5.8) v

v = 79.98 + 55.1/10.1

v = 13.37 m/s

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Related Questions

Help me quickly! please!!!

A cable pulls a car up a mountain with a force of 4 × 103 N at a vertical constant velocity of 5 m.s-1. It takes 5 minutes to reach the top.

(a)How much work is done in getting the car to the top?
(b)How much work would have been done if the vertical speed was 2,5 m.s-1?
(c)Calculate the power exerted on the cable car in those 5 minutes.

Answers

Answer:

(a) 6,000,000J      

(b)  3,000,000J

(c)  For A 20,000W

But for B 10,000W

The work done in getting  the car to the top is equal to 6 ×10⁶ J. If the vertical speed is 2.5 m/s then, the work done will be  3 ×10⁶ J. The power exerted on the car is in 5 minutes is 20000 J/s.

What is work done ?

In physics, work done is the dot  product of force and displacement. Let w be the work done and F and ds be the force and displacement. Then

W = F.ds

It is given that the, the force of the cable is 4 × 10³ N. The velocity is 5 m/s and time is 5 minutes or 300 seconds. Now, the displacement is the product of time and velocity.

ds = velocity ×  time

    =  300 s ×  5 m/s

    = 1500 m.

Thus the work done = F × ds

                                  = 4 × 10³ N ×  1500 m

                                  = 6 ×10⁶ J .

If the velocity is reduced to half 2.5 m/s , then work done will be reduced to half as 3 ×10⁶ J.

Power is the rate of work done. Thus it is the ratio of work done to time. The power exerted on the car in 5 minutes = 6 ×10⁶ J /300s

                                                                        = 20000 J/s

Hence, the power exerted on the cable car in 5 minutes is 20000 J/s.

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what kind of frog species is this

Answers

Answer: i think its a bullfrog forgive me if im wrong i dont exactly know

Explanation:

Answer:

that is an African bullfrog

The range of a target is found to be 20km. A shell leaves a gun with a velocity of 500m/s . What must be the angle of elevation of the gun if the ground is level

Answers

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

The shell experiments a parabolic motion, which is a combination of horizontal uniform motion and vertical uniform accelerated motion. If initial height of the shell is the same that its final height, then the range of the shell ([tex]d[/tex]), in meters, is described by the following expression:

[tex]d = \frac{v^{2}}{g}\cdot \sin 2\theta[/tex] (1)

Where:

[tex]v[/tex] - Initial speed of the shell, in meters per second[tex]g[/tex] - Gravitational acceleration, in meters per square second[tex]\theta[/tex] - Angle of elevation, in sexagesimal degrees

If we know that [tex]v = 500\,\frac{m}{s}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]d = 20000\,m[/tex], then the angle of elevation is:

[tex]\sin 2\theta = \frac{d\cdot g}{v^{2}}[/tex]

[tex]\theta = \frac{1}{2}\cdot \sin^{-1} \frac{d\cdot g}{v^{2}}[/tex]

[tex]\theta = \frac{1}{2}\cdot \sin^{-1} \frac{(20000\,m)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}{\left(500\,\frac{m}{s} \right)^{2}}[/tex]

[tex]\theta \approx 25.840^{\circ}[/tex]

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

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what third force must be added to the two forces 30 Newton at 30 degree and 80 Newton at 135 degree the resolution for equal to zero​

Answers

Answer:

Resolve the vectors:

F1 = 30 cos 30 i + 30 sin 30 j = 26 i + 15 j

F2 = 80 cos 135 i + 80 sin 135 j = -56.6 i + 56,6 j

F1 + F2 = (26 - 56.6) i + (15 + 56.6) j = -30.6 i + 71.6 j

The offsetting force would be

F3 = 30.6 i - 71.6 j

The magnitude of this vector is (30.6^2 + 71.6^2)^1/2 = 77.9

cos theta 3 = 30.6 / 77.9 = 66.9 deg

Check:

77.9 * sin 66.9 = 71.6  agreeing in magnitude with F3

Now we need the quadrant of the offsetting vector

sin theta 3 = -         cos theta 3 = +

This occurs in the fourth quadrant and theta 3 = 360 - 66.9 = 293.1 deg

which jovian planet should have the most extreme seasonal changes?

Answers

Answer:

Uranus

Explanation:

brainliest please?

Josh tests an unknown liquid substance using litmus paper. When he compared the used litmus paper to a pH scale, the color matches with a 3.5 of the scale. What kind of substance did Josh test?

Answers

Answer:

acid

Explanation:

because ph below 7 is acid

What is a milliliter.

Answers

A milliliter, abbreviated as ml or mL, is a unit of volume in the metric system. One milliliter is equal to one thousandth of a liter, or 1 cubic centimeter. In the imperial system, that's a small amount: . 004 of a cup

When is there no atmospheric pressure pjysics.

Answers

The widely accepted boundary where space begins, which would also be the point where the air pressure is assumed to be zero, is called the Kármán line, which is located 100 km (62mi) up.

Công thức cộng vận tốc

Answers

Answer:

you are very kind except for your habit

sports photographers often use large aperture, long focal length lenses. what limitations do these lenses impose on the photographs?

Answers

Answer:

The depth of focus achievable with those lenses is small.

Explanation:

A larger aperture makes it much harder to focus on more than one object. When using a telephoto lens (the ones the question is referring to), the depth of focus is very small. For example, using a telephoto lens to take a photo of a runner might get the runner in focus, but certainly not the track, or the audience behind them. If you look at photos, especially older photos, of Olympians in almost any sport you can see this.

Hope this helps!

Waves can be refracted.
Explain this term.


HELP PLSSS

Answers

Answer: By "waves can be refracted" they mean that refraction can occur with waves. To better explain, refraction is the "change in direction of a wave passing from one medium to another or from a gradual change in the medium."  You probably know this best when you put a pencil inside a glass of water where the pencil bends a bit. The same can happen with sound or water waves as well!

Would appreciate brainly <3

Refraction can happen with waves

Please I need help fast <3

Answers

Answer:

Where is the picture send again please

Explanation:

An ice skater at rest on ice catches a dance partner moving 1.5 m/s during a performance. The ice skater has a mass of 75 kg and the dance partner has a mass of 50 kg. What is the speed of the ice skater and dance partner after the collision?

Answers

I think it’s 5mph lllllll

Change.
Wax melting is an example of a chemical reaction.
True or false

Answers

i believe it is a physical change not chemical

What would be the extension of the spring for a 3 N weight if the extension of the spring was 4 mm for a 50 g mass?
А 4 mm B)8 mm C)12mm D)24 mm​

Answers

Answer:

24mm

Explanation:

3 N to g is 305.9 g

50g ---- 4 mm

305.9 ----- 4×305.9/50 = 24 mm

I need help quickly pls

Answers

Answer:

Ok I'm not 100% on this one but, try 3 lifes sorry if u get it wrong D:

Explanation:

Please give an answer that is coherent
A ceiling fan operates at three speeds, using 120 V of electricity from the wall. At low speeds, it uses 0.25 A. Calculate the resistance needed to generate that current. Then in 1-2 sentences, describe how the resistance would change at medium and high speeds if larger currents are needed at those speeds. Your answer should include the calculated resistance and a sentence describing your reasoning.

Answers

Answer:

480

Explanation:

resistance equals to potential difference divide by electric current

120÷0.25

=480

Answer:

[tex]\mathsf {480 \Omega}[/tex]

Explanation:

[tex]\textsf {Formula used for calculating resistance :}[/tex]

[tex]\mathsf {Resistance = \frac{Voltage}{Current} }[/tex]

[tex]\textsf {This is otherwise known as Ohm's Law, hence the unit of resistance.}\\[/tex]

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {R = \frac{120}{0.25}}[/tex]

[tex]\implies \mathsf {R = 480\Omega}[/tex]

[tex]\textsf{If the fan uses higher current at higher speeds, then}\\\textsf{the resistance would decrease as it is inversely}\\\textsf {proportional to the current.}[/tex]

Which of the following is NOT an indicator of a chemical reaction?

OPTIONS

A. A phase change



B. A temperature change



C. A color change



D. A gas being created

Answers

Answer:

c

Explanation:

The changing of color of a substance is not necessarily an indicator of a chemical change. For example, changing the color of a metal does not change its physical properties. However, in a chemical reaction, a color change is usually an indicator that a reaction is occurring.

A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.24 cm. A compressive force of F = 7900 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.

Answers

We have that for the Question, it can be said that the amount by which the length of the stack decreases is

[tex]dl'=3.621*10^{-4}m[/tex]

From the question we are told

A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.24 cm.

A compressive force of F = 7900 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.

Generally the equation for copper cylinder   is mathematically given as

[tex]dl=\frac{Flo}{yA}[/tex]

[tex]dl=\frac{7900*3*10^-^2}{1.1*10^{11}*\pi(0.24*10^{-2})^2}[/tex]

[tex]dl=1.19064778*10^-^4[/tex]

Generally the equation for brass cylinder   is mathematically given as

[tex]dl=\frac{7900*5*10^-^2}{9*10^{10}*\pi(0.24*10^{-2})^2}[/tex]

[tex]dl=2.43*10^{-4}[/tex]

Therefore Total change in length

[tex]dl'=1.191*10^-^4+(2.43*10^{-4})[/tex]

[tex]dl'=3.621*10^{-4}m[/tex]

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easy one - giving brainly if correct.​

Answers

Gas.

HOPE YOU GET 100!

Which of the following will require most developed countries to
decrease emissions of carbon dioxide and other greenhouse gases?
a. Montreal Protocol c. Emissions Reduction Act
b. Kyoto Protocol d. Reforestation Project

Answers

Answer:

Kyoto Protocol

Explanation:

the primary factor in decreasing the kinetic energy of an object is to

Answers

Answer:

Decreasing the velocity

Explanation:

The primary factor in decreasing the kinetic energy of an object is to decrease the velocity of the object.

What is Kinetic energy?

The kinetic energy of an object is the energy which it possesses due to the motion of the object. Kinetic energy is defined as the work which is needed to accelerate an object of a given mass from the state of rest to its stated velocity and direction. Gain of the energy during the acceleration of an object, the body maintains this kinetic energy unless its speed changes and the object accelerates.

The kinetic energy is directly proportional to the mass and the velocity of the object. The primary factor which is responsible for the decrease in the kinetic energy of an object is to decrease the velocity of the object.

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A 50-kg girl lifts a 1-kg box vertically upward a distance of 0.5 meter. How
much work is done on the box?

Answers

Answer:

Given mass = 2kg, height = 10m,g = 9.8.

We know that Work done W = FD

= > W = (mg)(D)

= > W = (2 * 9.8)(10)

= > W = 196 Joules.

Explanation:

Yan :).

25 n object requires a 5. 0 n to start moving over a horizontal surface. What is the coefficient of static friction?.

Answers

Answer:

μ=1/5=0.2

Explanation:

using the formula

Fs=Fn*μ

Where

Fs is the static force

Fn = Normal force

μ= coefficient

so if Fn=25n

and it requires 5 n to start moving, means the max Fs is 5n

5=25μ

μ=5/25

μ=1/5=0.2

How many sulfur atoms are there in 25 molecules c4h4s2?.

Answers

There are 50 atoms (twice the amount of the molecules)

PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!


Imagine that a car is speeding down the highway and it hits a large bump in the road that forces it off the road. What would Newton call that object?
A.
a physical object
B.
a course interrupter
C.
an unbalanced force
D.
an unfortunate event


PLEASE NO LINKS OR I WILL REPORT YOU

Answers

Answer:

C. unbalanced force

Explanation:

it is called unbalanced force because it has changed direction of the moving object

A state government wants to increase the taxes on cigarettes to increase tax revenue. Because cigarettes are addictive, we would expect its demand to be: ______________

a. Elastic, Thus, the government's cigarette-tax revenues would rise with a tax increase.
b. Elastic, Thus, the government's cigarette-tax revenues would fall with a tax increase.
c. Inelastic, Thus, the government's cigarette-tax revenues would rise with a tax increase.
d. Inelastic, Thus, the government's cigarette-tax revenues would fall with a tax increase.

Answers

The demand of cigarette is elastic so the government's cigarette-tax revenues would rise with a tax increase.

The demand of cigarette is elastic because of the addiction the people can buy the cigarette even at high prices and the government's cigarette-tax revenues would rise.

The demand for cigarettes is unitary elastic (−1.06) means that a 1% increase in the price of cigarette would reduce its consumption by 1.06% so we can conclude that the demand of the cigarette is elastic and the government revenues increases.

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I need help in question 7, a and b.

Answers

Answer:

The graph for 7a is shown in the attachment. For question 7b she walks a distance of 16 meters. (m)

Explanation:

What type of watches are used nowadays to measure time? Explain one of
them?

Answers

Answer:

Furthermore, some modern watches (like smart watches) even incorporate calculators, GPS and Bluetooth technology or have heart-rate monitoring capabilities, and some of them use radio clock technology to regularly correct the time. Most watches that are used mainly for timekeeping have quartz movements.

Explanation:

How many molecules of Oxygen gas are there on the reactant side of this equation?
C2H6 + 402 ———-> CO2 + H2O
O2
O3
04
O8

Answers

Answer:

4

Explanation:

It has 8 O atoms and 4 O2(g) molecules

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