Twins Bo and Joe have a combined mass of 200 kg and are zooming along at 10 m/s in a 100 kg amusement park bumper car. They bump into Melinda’s car, which is sitting still. Melinda has a mass of 25 kg and is also in a 100 kg car. After the collision, the twins continue moving with a speed of 4.12 m/s.
a. What is the initial momentum of the system?
b. What must be the final momentum of the system?
c. How fast is Melinda’s car bumped across the floor?

Answers

Answer 1

The speed with which Melinda’s car is bumped across the floor is 14 ms-1.

Total mass of the twins and the car = 300 Kg

Initial velocity of the twins car =  10 m/s

Total mass of Melinda and her car = 125 Kg

Initial velocity of Melinda's car = 0 m/s (at rest)

Final velocity of the twins car =  4.12 m/s

Final velocity of Melinda's car = ?

Initial momentum of the system = (300 × 10) + (125 × 0) = 3000 Kgms-1

Final momentum of the system = (300 × 4.12) + (125 × x) = (1236 + 125x) Kgms-1

Using the principle of conservation of linear momentum;

Total momentum before collision = Total momentum after collision

m1u1 + m2u2 = m2v1 + m2v2

(300 × 10) + (125 × 0) = (300 × 4.12) + (125 × x)

3000 = 1236 + 125x

x =  3000 -  1236 /125

x = 14 ms-1

The speed with which Melinda’s car is bumped across the floor is 14 ms-1.

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Related Questions

If you move two objects with opposite charges apart, what happens to the potential energy between them? Explain your response.

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I have read it in the ncert science book

That any material charged with the same energy they repels each other while if they have opposite energy they attracts each other.

Hope it helps.

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Please help with this ski question to find Delta y ​

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I believe your answer would be v=26.3m/s . Can you mark me brainliest please I’m trying to rank up:)

What is centripetal force and elastic force

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Answer:

centripetal force is a net force that acts on an object to keep it moving along a circular path and elastic force acts to return a spring to its natural length

Jeff Gordon leads his race and must drive into a curve at top speed to win it all. The radius of the curve is 1000 m and the coefficient of static friction between his tires and the dry pavement is 0.50.

Answers

Answer:

Apparently the curve is not banked.

The maximum frictional force is -

Ff = m g * .5

Fc = m v^2 / R     where Fc is the centripetal force that must be present in

                            order for the car not to slip.

.5 g = v^2 / R      equating forces

v^2 = .5 R g = .5 ^ 1000 * 9.80

v = (500 * 9.80)^1/2 = 70 m/s

(about 230 ft/sec = 230/88 * 60 = 157 mph

A projectile is fired with a velocity of 320 ms at an angle of 30 degree to a horizontal.1 Find the time to reach the maximum height. 2 it's horizontal range.​

Answers

(a) The time taken for the projectile to reach the maximum height is 32.65 s.

(b) The horizontal range of the projectile is 9,049.1 m.

The given parameters:

Initial velocity of the projectile, u = 320 m/sAngle of projection, = 30 degrees

The time taken for the projectile to reach the maximum height is calculated as follows;

[tex]v_f = u- gt\\\\0 = 320 - 9.8t\\\\9.8t = 320\\\\t = \frac{320}{9.8} \\\\t = 32.65 \ s[/tex]

The horizontal range of the projectile is calculated as follows;

[tex]R = \frac{u^2 sin(2\theta)}{g} \\\\R = \frac{320^2 \times sin(2\times 30)}{9.8} \\\\R = 9,049.1 \ m[/tex]

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A multi-dimensional being reaches down to Earth and pulls you out of the universe. You are then thrown back into the universe at a place and time of the being's choosing, and you are permitted to leave only after you have identified your surroundings. This process is repeated several times. Through a scientifically unexplainable miracle, you are able to survive in every one of the places that you find yourself. In each scenario below, identify your surroundings (and potentially your cosmic era) from among the choices given. You find yourself in a place that is unimaginably hot and dense. A rapidly changing gravitational field randomly warps space and time. Gripped by these huge fluctuations, you notice that there is but a single, unified force governing the universe.

Required:
Where are you?

Answers

You are in an early universe.

In the study of the evolution of the universe, it has been determined before Plank time (before the big bang and right after it), the early universe had the following characteristics:

There was only one single force acting over all that existed.The early universe was very hot and dense because all matter had contracted before the big bang.Space and time were wrapped.

These characteristics match the ones described, based on this, we can conclude you are in an early universe.

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Two horizontal curves on a bobsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius curve is v. What is the safe speed on the larger radius curve?
A) v/2
B) v /√ 2
C) 2v
D) v√2



I shall answer it here so this can help other students out
First, FN = mg/cos
On a banked curve, FNx is the only acceleration force
FNx = mv^2/r
FNx = FNsin
mg/cos * sin = mv^2/r
cancel out the mass (m) and sin*1/cos is tan
gtan = v^2/r
rgtan = v^2
√(rgtan) = v (this is the velocity for the smaller radius.)
call larger radius velocity X

for larger radius, it becomes 2r, so √(2rgtan) = X

understand you can do √xy = √x * √y

√(rgtan) * √2 = X (√(rgtan) = v)
v * √2 = X (where X is velocity with larger radius)

Answers

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

On a frictionless surface how much force is necessary to accelerate a 0.49 kg object to the left at 4.8 m/s2?

Answers

Answer:

2.35 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

force = 0.49 × 4.8 = 2.352

We have the final answer as

2.35 N

Hope this helps you

A 0.40 kg bead slides on a straight frictionless wire with a velocity of 3.50 cm/s to the right. The
bead collides elastically with a larger 0.60 kg bead initially at rest. After the collision the smaller
bead moves to the left with a velocity of 0.70 cm/s. Find the distance the larger bead moves along
the wire in the first 5.0 s following the collision?||

Answers

Answer:

Total momentum before collision

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Total momentum after collision

P2 = .6 * V - .4 * .7 = .6 V - .28

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V = 2.8 cm/sec

In 5 sec V moves 2.8 cm/sec * 5 sec = 14 cm

where in space did the expansion of the universe begin?

Answers

Answer:

The big bang

Explanation:

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What is an object's mass if it accelerates at 5 m/s2 when a force of 0.5 N is applied?

Answers

Answer:

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Answers

Answer:

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How far does an object travel if it is moving at a speed of 4 m/s for 3.2 seconds?


SOMEONE PLEASE HELP ME

Answers

Answer:

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Explanation:

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distance = 4 x 3.2

distance = 12.8

rube goldberg machine steps

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Answer:

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Answer: yes

Explanation:

Animals of different species typically compete with each other only for food, water and shelter. But they often compete with members of their own species for mates and territory as well.

what is the purpose of the thermal energy tranfer lab

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Answer:thermal Energy Transfer in Mixtures Purpose: The purpose of this experiment is to discover how exactly the final temperature of a mixture, involving a substance and hot water, is affected and impacted by the type of substance used. This means that when hot water is mixed with another substance, it must be determined

Explanation:

did this on edge

Draw a diagram that represents how a mechanical wave interacts with a particular material.
Create a diagram and include reflection, absorption, and transmission.
Write a brief description (3+ sentences) of the interaction of the mechanical waves and the material. Include an explanation of how the amplitude and frequency of the wave are affected.
85 POINTS!!

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When mechanical waves interact with material, it transfer its energy to the material.

What are mechanical waves?

Mechanical waves are the type of waves that require a medium for transporting their energy from one region to another. Mechanical waves depend on particle interaction in order to transport their energy.

The amplitude and frequency of the wave are negatively affected due to the striking of mechanical waves with the material.

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Answer: yea ma’am I’m sorry but you still

Something that is falsely advertised to help different health issues. An example could be Eyeball massagers

4) What is the kinetic energy of o 5 kg object moving at a velocity of 25 m/s?

Answers

Ek = 1/2 mv^2

= 1/2 × 5 × (25)^2

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How did Thomson's model get its name?

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Answer:

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Two billiard balls having the same mass and speed roll directly toward each other. What is their combined momentum after they meet

Answers

Their combined momentum after they meet is 0.

What is law of conservation of momentum?

According to the law of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.

Let the mass of each billiard balls = m.

If the initial velocity of first ball is u; according to the question, the initial velocity of the second ball be -u.

Hence, initial momentum of the first ball is: P₁ = mu

initial momentum of the second ball is: P₂ = -mu

Hence, total initial momentum of the two balls = P₁ + P₂ = mu + ( -mu) = 0.

So, according to law of conservation of momentum:

Their combined momentum after they meet is = 0.

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The combined momentum of the two billiard balls after they meet is zero.

When two pool balls of the same size and speed roll directly at each other and collide, their momentum will increase.

Let us denote the speed of the first ball as [tex]\rm p_1[/tex] and the speed of the second ball as [tex]\rm p_2[/tex]. The momentum of the balls are equal in magnitude but opposite in direction because they have the same mass and velocity.

[tex]\rm p_1= -p_2[/tex]

When the balls collide, their momentum increases:

Total momentum after the collision= [tex]\rm p_1+ p_2[/tex]

Substituting the relationship

[tex]\rm p_1= -p_2[/tex]

Total momentum after the collision

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Therefore, the combined momentum of the two billiard balls after they meet is zero.

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Determine the kinetic energy of a 625-kg roller coaster car that is moving with a speed of 10 m/s.

Answers

Hi there!

Kinetic energy can be calculated using the following:

[tex]\large\boxed{KE = \frac{1}{2}mv^2}}[/tex]

Where:

KE = Kinetic energy (J)

m = mass (kg)

v = velocity (m/s)

Plug in the given values:

[tex]KE = \frac{1}{2}(625)(10^2) = \boxed{31250J}[/tex]

The equation for kinetic energy is:

KE = 1/2 x mass x (velocity)^2

Mass = 625
Velocity = 10

Substitute the values into the equation.

KE = 1/2 x 625 x (10)^2

KE = 1/2 x 625 x 100

KE = 31250 joules

A projectile is to be launched at an angle of 30° so that it falls beyond the pond of length 20 meters as shown in the figure.
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Answers

Answer: A

Explanation:

I want my points so yea

Please help if you can!

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Answer:

a

Explanation:

bc i said so its right lol

Does the coefficient of kinetic friction depend on the speed?

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Answer:

yes because if the speed/K.E. of body increases the friction will also apply more instantly

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a. at the same distance
b. the same composition
c. the same luminosity
d. by themselves instead of in binary or double-star systems
e. a lot farther away than they presently are

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The answer is have the same luminosity

What does electrical energy transform into when used by objects in a home?

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Answer:

What can electrical energy be transformed into?

Electrical energy is transformed into many forms - mechanical/kinetic, sound, heat, light, and other forms of electromagnetic radiation - by everyday appliances.

Explanation:

Answer:

none of the other answers could be correct.

Explanation:

The sun nuclear energy transfers to radiant energy A fire Chemical energy transfers to thermal and radiant energy. wind turbine Kinetic motion energy transfers to electrical energy. Lightbulb Electrical energy transfers to radiant and thermal energy. Radio Electrical energy transfers to sound energy.

An object is struck by a 5N force for 8 seconds causing the object to experience a change in it's motion. What is the impulse acting on the object?

Answers

Hi there!

Recall the equation for impulse:

[tex]I = \Delta p = F * t[/tex]

Where:

I = Impulse (Ns)

F = Force (N)

t = Time (s)

Plug in the given values:

I = 5 · 8 = 40 Ns

In a game of pool, a cue ball rolls without slipping toward the stationary eight ball with a momentum of 0.23 kg. After the two balls collide, the final momentum of the cue ball is 0.01 kg. what is the magnitude of the final momentum of the eight ball

Answers

This question involves the concepts of the law of conservation of momentum.

The magnitude of the final momentum of the eight ball is "0.22 N.s".

According to the law of conservation of momentum:

[tex]P_{i1}+P_{i2}=P_{f1}+P_{f2}[/tex]

where,

[tex]P_{i1}[/tex] = initial momentum of the cue ball = 0.23 N.s

[tex]P_{i2}[/tex] = initial momentum of the eight ball = 0 N.s (since ball is initially at rest)

[tex]P_{f1}[/tex] = final momentum of the cue ball = 0.01 N.s

[tex]P_{f2}[/tex] = final momentum of the eight ball = ?

Therefore,

[tex]0.23\ N.s + 0\N.s = 0.01\ N.s+P_{f2}\\\\P_{f2} = 0.22\ N.s[/tex]

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Snow on the ground prevents polar climate systems from gaining heat by what mechanism?

Question 7 options:

Heating by greenhouse gases


Snow reflecting solar radiation


Heat spread from the equator


Release of heat from Earth's core

Answers

The characteristics of the thermal heating mechanisms allow to find the correct answer for how snow prevents soil heating is:

         b) Snow reflecting solar radiation.

The heating of the system occurs by absorption of energy by three basic mechanisms:

Conduction. It occurs when the bodies are in constant and energy is transferred by the oscillations of the elements of the body, but there is no physical displacement of parts of it. Convection. This mechanism occurs mainly with liquid and gases, it is due to the displacement of masses of the element due to its greater energy. Radiation. In these mechanisms there is no physical contact and the energy is transferred by the emission of electromagnetic waves.

In this case, the snow receives electromagnetism waves from the sun, a large part of these waves are reflected by the snow, therefore they do not reach the ground and cannot be absorbed, thus decreasing its heating.

Let's analyze the claims:

a) False. Greenhouse gases do not interfere with snow on the ground.

b) True. This mechanism reduces radiation heating.

c) False. The heat that comes from the equator warms the air.

d) False. Heating by the Earth's core occurs everywhere and comes from the center of the earth, so it does not interact with snow.

In conclusion, with the characteristics of the thermal heating mechanisms, we can find the correct answer for how snow prevents soil heating is:

         b)  Snow reflecting solar radiation

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