Wall-E the robot is resting when he randomly explodes into two pieces that fly off in opposite directions. His head has a mass of 0.75 kg and flies off to the right with a velocity of 75 m/s. If his body has a mass of 6.2 kg, what was its velocity after the explosion?

______________m/s (nearest hundredth)

Answers

Answer 1

Answer:

The body flies off to the left at 9.1 m/s

Explanation:

Law Of Conservation Of Linear Momentum

It states the total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and speed v is  

P=mv.  

If we have a system of bodies, then the total momentum is the sum of the individual momentums:

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

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

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

Since the total momentum is conserved, then:

P = P'

In a system of two masses, the equation simplifies to:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2\qquad\qquad[1][/tex]

Wall-E robot is initially at rest, its two parts together. His head has a mass of m1=0.75 kg and his body has a mass of m2=6.2 kg. Both parts have initial speeds of zero v1=v2=0.

After the explosion, his head flies off to the right at v1'=75 m/s. We are required to find the speed of his body v2'. Solving [1] for v2':

[tex]\displaystyle v'_2=\frac{m_1v_1+m_2v_2-m_1v'_1}{m_2}[/tex]

Substituting values:

[tex]\displaystyle v'_2=\frac{0.75*0+6.2*0-0.75*75}{6.2}[/tex]

[tex]\displaystyle v'_2=-9.1 \ m/s[/tex]

The body flies off to the left at 9.1 m/s


Related Questions

Help!! ASAP plz
Determine the mass of the object below to the correct degree of precision.

358.3g
358.20g
358.30g
358.2g

Answers

Can you include an image of the object and it’s dimensions?

Indiana Jones is being chased over the rooftops of Marseilles by some random villain. He looks ahead and sees that there is a 7 meter gap between this rooftop, which is 25 meters above the ground, and the next, which is 19 meters above the ground. He gathers up all his strength and runs and leaps from the higher roof to the lower. How fast must he run so he doesn't go plummeting into the street below? *
5 points

Answers

Answer:

30 mph

Explanation:

Need help on number 5 and 6

Answers

Answer:

jowieahudsfnkdmlew2l,poeq3riugjnkfmdko

Explanation:

Answer:

b and c

Explanation:

hopes this helps i took the test.

Radar tells an air traffic controller that a jet is slowing as it nears the
airport. Which might represent the jet's velocity?

A. 700 h/km

B. 700 km

C. 700 km/hr

D. 700 km/h west

Answers

Choice-D is the only velocity on the list.

(It has a speed and a direction.)

The jet's velocity might be represented by  700 km/h west. Hence, option (D) is correct.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

In this question, 700 h/km, 700 km have different unit that of velocity. So, option (A) and option (B) is not correct. . 700 km/hr has same unit that of velocity.  But it does not has direction. So, option (C) is also incorrect.  700 km/h west has the same unit of velocity with define direction. So, option (D) is correct.

Hence option (D) is correct answer.

Learn more about velocity here:

https://brainly.com/question/18084516

#SPJ6

At the top of a roller coaster 20 m above the ground the 5 kg car is moving at 2 m/s how fast is it moving at the bottoms of the hill

Answers

Answer:

VB = 19.9 [m/s]

Explanation:

In order to solve these problems, we must use the principle of energy conservation. Which tells us that the energy between two points after an instant of time must be equal. This is we have two points A & B, in point A is the highest point while Point B is the lowest

Now we need to identify the types of energy at each point.

For point A

At this point we have two energies, the kinetic energy since the roller coaster moves at a speed of 2 [m/s], in the same way there is potential energy since the roller coaster is 20 [m] above ground level.

For point B

At Point B we only have kinetic energy, since it is located at zero meters with respect to the ground. In this way we can determine the velocity at this point.

And the energy is expressed by means of the following expression:

[tex]E_{A}=E_{B}\\\frac{1}{2} *m*v_{A}^{2} +m*g*h_{A}=\frac{1}{2} *m*v_{B}^{2}[/tex]

where:

m = mass = 5 [kg]

VA = velocity of the roller coaster in point A = 2[m/s]

hA = elevation of the roller coaster = 20 [m]

vB = velocity of the roller coaster in point B [m/s]

Now replacing:

[tex]\frac{1}{2}*5*(2)^{2} +(5*9.81*20)=\frac{1}{2}*(5)*v_{B}^{2}\\991=2.5*v_{B}^{2}\\v_{B}x^{2} =991/2.5\\v_{B}=\sqrt{396.4} \\v_{B}=19.9[m/s][/tex]

What is happening to the average kinetic energy of the molecules in a pot of water when it is heated on a stove? Explain your answer.

Answers

Answer:

Explanation:

The average kinetic energy of molecules in a pot increases when it is heated on a stove . The heat energy is spent to decrease the intermolecular attractive force . The result is increase in kinetic energy due to increase in the velocity of molecules

formula for kinetic energy of one mole of a monoatomic  gas

= 3/2 RT

when temperature increases , kinetic energy increases .

A force of 49 Newtons is applied to a rock, which causes it to be lifted 2 meters in 5 seconds. How much power is exerted during this time?

Select one:
9.8 W
19.6 W
56.4 W
98 W

Answers

Answer:  19.6 watts

=================================================

Explanation:

power = (change in work)/(change in time)

p = w/t

work = force*displacement

w = f*d

So we can say:

p = (f*d)/t

We know the following

f = 49 = applied forced = 2 = displacementt = 5 = change in time

Leading to...

p = (f*d)/t

p = (49*2)/5

p = 98/5

p = 19.6 watts

Side note: 1 watt is equal to 1 joule per second

Reading the temperature of a solution by using a thermometer is an example of a(n) ________.
A.
hypothesis
B.
observation
C.
inference
D.
conclusion

Answers

Answer:

B. Observation

Explanation:

Using a thermometer to read the temperature of a solution is tantamount to the making an observation.

Observation are recorded using our senses of sight, taste, earing, feeling etc or by the use of instrument.

Through observation, data is usually collected to make inferences about an experiment. An observation leads to the formulation of a hypothesis which is scientific guess that leads to experimental designs. Conclusions are drawn from the information of data obtained from an experiment.

Explain the difference between transverse and longitudinal waves.

Answers

A transverse wave is a wave in which particles of the medium move in a direction perpendicular to the direction that the wave moves. Suppose that a slinky is stretched out in a horizontal direction across the classroom and that a pulse is introduced into the slinky on the left end by vibrating the first coil up and down. Energy will begin to be transported through the slinky from left to right. As the energy is transported from left to right, the individual coils of the medium will be displaced upwards and downwards. In this case, the particles of the medium move perpendicular to the direction that the pulse moves. This type of wave is a transverse wave. Transverse waves are always characterized by particle motion being perpendicular to wave motion.

A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves. Suppose that a slinky is stretched out in a horizontal direction across the classroom and that a pulse is introduced into the slinky on the left end by vibrating the first coil left and right. Energy will begin to be transported through the slinky from left to right. As the energy is transported from left to right, the individual coils of the medium will be displaced leftwards and rightwards. In this case, the particles of the medium move parallel to the direction that the pulse moves. This type of wave is a longitudinal wave. Longitudinal waves are always characterized by particle motion being parallel to wave motion.

A rectangle box was measured with a length of 4cm, width 2cm, and height 2cm. What is the volume of the box?

Answers

Answer:

volume is 64

Explanation:

2×2×4×4

=64

Answer:

[tex]V = 16\ cm^3[/tex]

Explanation:

The Volume of a Rectangular Prism

A rectangular prism is also called a rectangular box and has three dimensions all perpendicular to each other.

Given a rectangular prism of length L, width W, and height H, the volume is calculated as:

V = WLH

We are given the dimensions of a rectangular box: L= 4 cm, W = 2 cm, H = 2 cm. Computing the volume:

V = 2 cm * 4 cm * 2 cm

[tex]\mathbf{V = 16\ cm^3}[/tex]

I’m NC the wind is blowing from the north. If the wind changes direction and begins to blow from the south, what will most likely result.

Answers

NC means North Carolina.

Answer:

The temperatures will increase.

Explanation:

What will happen is that the temperature will increase. This is because, in wind direction and weather forecasting, a wind that shifts from the south means that warmer air/temperatures are approaching whereas a wind shift from the north implies that cooler air/temperatures are approaching.

The common version of Newton’s second law of motion, EF= ma, is actually a special case that is true only when an objects _____ is constant.

-Mass
-Momentum
-Force
-Velocity

Answers

Answer:

A

Explanation:

only is true when the objects mass is constant

Answer:

A.

Explanation:

When the mass is constant. Newton's second law will work perfectly.

Fun fact you probably won't need to know this, but the original formula that Newton derived was F=change in momentum divided by change in time. Momentum will account for a change in mass. The schooling system lies to you all the time especially in physics.

A wagon, initially traveling at a constant 8.2 m/s, starts going down a hill that creates an acceleration of 9.0 m/s2. What is the wagon's velocity 6.6 s after it starts accelerating down the hill?

Answers

Answer:

67.6m/s

Explanation:

Given parameters:

Initial velocity  = 8.2m/s

Acceleration  = 9.0m/s²

Time  = 6.6s

Unknown:

Final velocity  = ?

Solution:

To solve this problem, we use the expression below:

     Acceleration  = [tex]\frac{v - u }{t}[/tex]

v is the final velocity

u is the initial velocity

 t is the time taken

    9  = [tex]\frac{v - 8.2}{6.6}[/tex]  

    v - 8.2  = 59.4

    v  = 59.4 + 8.2 = 67.6m/s

A sound wave travels at 340 m/sec and has a wavelength of 2.5 meters. Calculate its frequency and period.

Answers

Answer:

136Hz

0.0074s

Explanation:

Given parameters:

Velocity of the wave  = 340m/s

Wavelength  = 2.5m

Unknown:

Frequency and period  = ?

Solution:

To solve this problem, we use the wave velocity equation;

    V  = F ∧  

V is the velocity

F is the frequency

∧ is the wavelength

  Let us find the frequency

   340  = F x 2.5

        F  = 136Hz

Period is the inverse of frequency;

    Period = [tex]\frac{1}{136}[/tex]   = 0.0074s

A “K-9 cannon” uses a powerful rubber band to launch a tennis ball(mass of 0.0577 kg) vertically upwards. The tennis ball has a velocity of 25.0 m/s as it leaves the barrel.

A. How long is the tennis ball in the air?

Answers

Answer:

t = 5.1[s]

Explanation:

To solve this problem we must first use the following equation of kinematics.

[tex]v_{f}=v_{o} -g*t[/tex]

where:

Vf = final velocity = 0

Vo = initial velocity = 25 [m/s]

g = gravity acceleration = 9.81 [m/s²]

t = time [s]

Now replacing:

[tex]0 = 25-9.81*t\\t=25/9.81\\t=2.54[s][/tex]

Note: The key to understand this problem is that when the tennis ball is in the highest position its velocity is zero.

So it will take the same time from the highest point to the ground

t = 2.54 +2.54

t = 5.09 [s]

A negative charge of -0.00067 C and a positive charge of 0.00096 C are separated by 0.7 m. What is the force between the two charges?

Answers

Answer:

-11,813.87N

Explanation:

According to coulombs law, the Force between the two charges is expressed as;

F = kq1q2/d²

k is the coulombs constant = 9*10⁹kg⋅m³⋅s⁻²⋅C⁻².

q1 = -0.00067 C

q2 = 0.00096 C

d  = 0.7m

Substitute into the formula:

F =  9*10^9 *  -0.00067 * 0.00096/0.7²

F = 9*10⁹*-6.7*10⁻⁴*9.6*10⁻⁴/0.49

F = -578.88*10⁹⁻⁸/0.49

F = -578.88*10/0.49

F = -5788.8/0.49

F = -11,813.87N

Hence the force between the two charges is -11,813.87N

How many miles did a plane travel if it flew 455 miles per hour in 3 hours? What formula did you have to use?

Answers

Answer:

1,365 miles

Explanation:

i multiplied 455 x 3 because it traveled 455 miles an hour for three hours.

Which one doesn't belong in the group? oxygen, sulfur, selenium,
tellurium *
Your answer
This is a required question
borons

Answers

It’s gonna be Oxygen ....

Someone please help

Answers

Answer:

soory i cant help u

Explanation:

because i dont know how to solve that

A 2 kg marble moving at 4 mi./s collides into a 1 kg marble at rest. After collision, the 2 kg marble speed decreased to 2 mi./s. Calculate the velocity and speed of the 1 kg marble immediately after colliding.

Please show work and please help me as fast as possible because this is time

Please help as soon as possible please

Please I’m begging

Answers

Answer:

[tex]2\sqrt{6}[/tex]  [tex]\frac{mi}{s}[/tex]

Explanation:

Assuming there is no waste of energy:

[tex]K_{1} = K_{2}\\\frac{1}{2}m_{1}v_{1_{1}}^{2} + \frac{1}{2}m_{2}v_{2_{1}}^2 = \frac{1}{2}m_{1}v_{1_{2}}^{2} + \frac{1}{2}m_{2}v_{2_{2}}^2\\\\=> m_{1}v_{1_{1}}^{2} + m_{2}v_{2_{1}}^2 = m_{1}v_{1_{2}}^{2} + m_{2}v_{2_{2}}^2\\\\m_{1} = 2 kg, m_{2} = 1 kg, v_{1_{1}} = 4 \frac{mi}{s} , v_{2_{1}} = 0\\=> 32 = 8 + v_{2_{2}}^{2} => v_{2_{2}} = 2\sqrt{6} \frac{mi}{s}[/tex]

Please help me
27. A 20 kg object is at rest. A 6 N force pulls to the right on
the object for 10 seconds.
A) Find the impulse on the object.
B) Find the final momentum of the object.
C) What is its final velocity?

Answers

Answer:

a. 60 N*s

b. 60 (kg*m)/s

c. 3 m/s

Explanation:

Givens:

m = 20 kg

v_i = 0 m/s

t = 10 s

F = 6 N

a) Impulse:

I = F*t

I = 6 N*10 s

I = 60 N*s

b) Momentum:

p = v*m

F = m(a)

a = F/m

a = 6 N/20 kg

a = 0.3m/s^2

a = (v_f -v_i)/t

v_f = (0.3 m/s^2)*10 s

v_f = 3.0 m/s

p = 3 m/s*20 kg

p = 60 (kg*m)/s

c. Final velocity

a = (v_f -v_i)/t

v_f = (0.3 m/s^2)*10 s

v_f = 3.0 m/s

The impulse, momentum and final velocity can all be obtained from Newton's second law.

Let us recall that the impulse is obtained as the product of force and time.

Impulse = Force × time

Impulse = 6 N × 10 s = 60 Ns

From Newton's second law of motion;

F.t = mv - mu

Since the object was initially at rest;

F.t = mv

Hence, the final velocity of the object is 60 Kgms-1

The final velocity is obtained from;

F.t = mv

v = F.t/m

v = 6 × 10/20

v = 3 m/s

Learn more about impulse and momentum: https://brainly.com/question/904448

(The answer is probably obvious for some but I'm not big on science. Not my cup of English-..I'm implying Enlish is more my style...but yeah..help-)
This ray shows the image formed when a candle is placed in front of a curved mirror. Which of the following best describes the light ray shown in red?
A. The ray travels from the focal point to the image and continues in a straight line.
B. The ray travels toward the vertex and is reflected at an equal angle on the opposite side of the axis.
C. The ray travels parallel to the axis and is reflected as if it came from the focal point.
D. Tha ray travels toward the focal point and is reflected parallel to the axis.

Answers

D because it do da skiddly bip bop boop

An airplane accelerates from a speed of 88m/s to a speed of 132 m/s during a 15 second time interval. How far did the airplane travel during the time interval?

Answers

Answer:

[tex]1650\:\mathrm{m}[/tex]

Explanation:

We can use the following kinematics equations to solve this problem:

[tex]v_f=v_i+at,\\{v_f}^2={v_i}^2+2a\Delta x[/tex].

Using the first one to solve for acceleration:

[tex]132=88+a(15),\\15a=44,\\a=\frac{44}{15}=2.9\bar{3}\:\mathrm{m/s^2}[/tex].

Now we can use the second equation to solve for the distance travelled by the airplane:

[tex]132^2=88^2+2\cdot2.9\bar{3}\cdot \Delta x,\\\Delta x= \frac{9680}{2\cdot2.9\bar{3}},\\\Delta x =\fbox{$ 1650\:\mathrm{m}$}[/tex](three significant figures).

Define the terms resultant and equilibriant of
two forces acting at a point. Explain the
difference between the two terms.
Find the magnitude and direction of (a) the
resultant (b) the equilibriant of two forces, 10
N acting in the direction N 30 East and 15 N
acting in the easterly direction, if both forces
act at a point.​

Answers

Answer:

1) Resultant and Equilibrant explained below

2) Resultant = 24.18 N in a direction of 11.93° NE

3)Equilibrant = 24.18 N in a direction of 11.93° SW

Explanation:

1) Resultant force: If two or more forces are acting at a certain point, their resultant force would be defined as the force that when applied at that same point, it will have the exact same effect like the two independent forces acting together.

Equilibrant of 2 forces: This is defined as the force exactly equal and has an opposite direction to the resultant

2)a.) we are told that 10 N acts in the direction N 30 East and 15 N acts in the easterly direction, if both forces

act at a point. Thus, coordinates are;

(10cos30,10sin30) and (15,0)

Therefore, resultant coordinate is;

R→ = (10cos30, 10sin30) + (15, 0)

R→ = (15 + 10cos30, 0 + 10 sin 30)

This gives;

R→ = (23.66, 5)

Thus the resultant is;

R = √(23.66² + 5²)

R = √584.7956

R = 24.18 N

b) direction is gotten from;

tan θ = 5/23.66

θ = tan^(-1) 5/23.66

θ = 11.93° NE

c) Equilibrant is equal force but opposite direction. Thus, Equilibrant = 24.18 N in a direction of 11.93° SW

In the figure shown, if angle i increases slightly, angler will
angle of
reflection
angle of
incidence
a. remain the same
Oc. increase
Ob disappear
O d. decrease

Answers

Answer:

Explanation:

According to law of reflection of light ,

angle of incidence = angle of reflection

angle of incidence = i

angle of reflection = r

when angle of incidence increases to i₁ and angle of reflection becomes r₁

According to law of reflection,

i₁ = r₁

i₁ - i = r₁ - r

increase in angle of incidence = increase in angle of reflection .

So angle of reflection also increases .

An object travels 8 meters in the 1st second of travel, 8 meters again during the 2nd second of travel, and 8 meters again during the 3rd second. Its acceleration is

Answers

Answer:

0 m/s^2

Explanation:

Use a formula to answer the question

d = r * t

The object is not changing speed at any time, or if it is we are not told.  The rate is the speed.

8 = r * 1 second

8 m/sec = r

The initial speed is 8 and the final rate is 8. There is no change. So when you use this formula

a = (vf - vi)/t we get a = (8 - 8)/1 = 0

There is no acceleration because there is no change in speed.

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