A 67 kg man stands at the front end of a uniform boat of mass 179 kg and of length, L = 2.5 m. Assume there is no friction or drag between the boat and water.
(a) What is the location of the center of mass of the system when the origin of our coordinate system (i) on the man's original location (ii) on the back end of the boat? [4 marks]
(b) If the man walks from the front end to the back end of the boat, by how much is the boat displaced? [3 marks]
(c) Now consider the man and his friend with identical mass of 67 kg are rowing the boat on a hot summer afternoon when they decide to go for a swim. The man jumps off the front of the boat at speed 3 m/s and his friend jumps off the back at speed 4 m/s. If the boat was moving forward at 1.5 m/s when they jumped, what is the speed of the boat after their jump?
Answers
Answer:
Explanation:
ai. com=(67*0+179*1.25)/(179+67)=0.91m
ii. com=(67*2.5+179*1.25)/(179+67)=1.59m
b. 0.91=(67(2.5-d)+179(1.25-d))/(179+67)
d=0.68m
c. 1.5=(67*-3+67*-4+179*v)/(67+67+179)
v=5.24m/s
The answers to your question are ;
A) Location of the center of the mass of system when origin of coordinate system is
i) On the original location of man = 0.91 m
ii) On back end of boat = 1.59 m
B) The boat is displaced by = 0.68 m
C) speed of boat after their jump ( V ) = 5.24 m/s
Given data :
mass of man = 67 kg
mass of boat = 179 kg
length of boat = 2.5 m
assumptions : No friction/drag force
Solutions
A) determine location of center of mass
i) On the man's original location = 0
= ( mass of man * 0 + mass * 1.25 ) / ( mass of boat + mass of man)
= ( 0 + 179 * 1.25 ) / ( 179 + 67 )
= ( 0 + 223.75 ) / ( 246 ) = 0.9096 ≈ 0.91 m
ii) On the back end of the boat
= ( mass of man * length of boat + mass of boat * 1.25 ) / ( mass of boat + mass of man )
= ( 67 * 2.5 + 179 * 1.25 ) / ( 179 + 67 )
= ( 167.5 + 223.75 ) / ( 246 ) = 1.590 m
B) By How much is the boat displaced ( d )
0.91 ( location of center of mass from man's original location )
0.91 = ( 67 * (2.5 - d) + 179 ( 1.25 - d ) ) / ( 179 + 67 )
= ( 67 * ( 2.5 - d ) + 223.75 - 179d )) / ( 246 )
∴ d ≈ 0.68 m
C) Determine speed of boat after the jump
Initial speed of boat = 1.5 m/s
hence speed after the jump ( v )
speed of first man = 3 m/s
speed of second man = 4 m/s
1.5 m/s = ( 67 * -3 + 67 * -4 + 179 * v ) / ( 67 + 67 + 179 )
= ( - 201 + -268 + 179v ) / ( 313 )
∴ v ≈ 5.24 m/s
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Related Questions
1. A leftward force is used to pull a large wagon. In the wagon there is an unknown mass
that makes it very difficult to move, but a force applied is able to set the wagon into
constant motion. Let the force applied to the wagon and its unknown mass be 77.3 N. The
coefficient of friction between the wagon's wheels and the floor is 0.011. Determine the
mass of the wagon if it was empty.
i. Let's say that the unknown mass in the wagon is 95.5% * mass of the
wagon. What is the weight of the wagon when its empty and what is the
weight of the unknown mass?
Answers
Answer:
Wagon weight 366.41314(9.81) = 3,594.5129 = 3590 N
Load weight 349.9245(9.81) = 3,432.75982 = 3430 N
Explanation:
Let's assume the surface and the applied force are horizontal.
At constant motion, the friction force must balance the applied force
(from F = ma)
Ff = 77.3
μΝ = 77.3
μmg = 77.3
m = 77.3 / (0.011(9.81))
m = 716.3376... kg
Let M be the mass of the wagon
M + 0.955M = 716.3376
M(1.955) = 716.3376
M = 366.41314...kg
0.955 M = 349.9245... kg
round to the three significant digits of the question numerals.
two masses m and 2m, approach each along a path at right angles to each other. after collision, they stick together and move off at 2m/s at angle 37° to the original direction of the mass m. what were the initial speeds of the two particles
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Explanation:
the answer is in picture
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Answer:
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How much time does a train take to travel1800 km if it's velocity is 90km/hr
Answers
Explanation:
Time= Distance÷Velocity
Time= 1800÷90
Time= 20 hr
20×60= 1200 min
Use the following information to calculate the speed of sound. A 2m long tube of air, closed at one end and open at the other, is excited using a speaker. Successive resonances/harmonics are observed to occur at 129, 215 and 301 Hz (Note: 129 Hz is not necessarily the fundamental frequency). Make sure you clearly show how you get your answer
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Successive resonances/harmonics are observed to occur at 129, 215 and 301 Hz (Note: 129 Hz is not necessarily the fundamental frequency). the speed of sound is 76 added to 129 is 215
what is sound ?The pitch of the sound is a major property where the frequency of sound occur by human ear within the range of human hearing.
It is higher than the frequency of the sound where the higher is its pitch and a lower frequency means a lower pitch.
The loudness of sound is another property which can be determined by amplitude of the sound is a measure of the magnitude of the maximum disturbance of sound.
The speed is another property can be detrained as the sound waves which can travel through the medium is called the speed of sound and it is different for different mediums, travels fastest in solids.
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The boiling point of lauric acid is 298.9°C. Its melting point is 43.2°C. At room temperature (~25°C), lauric acid is in which state?
A. solid
B. intermediate between solid and liquid
C. liquid
D. intermediate between liquid and gas
Answers
Answer
A. solid
Explanation
We have that At room temperature (~25°C), lauric acid is in a
Solid state
Option A
From the question we are told that
The boiling point of lauric acid is 298.9°C. Its melting point is 43.2°C.
It is important to note that Room temperature is is at 25C
Generally
if lauric acid 298.9°C and melting point is 43.2°C
Therefore at room temperature low than Boiling and melting point lauric acid is
Solid
in conclusion
At room temperature (~25°C), lauric acid is in a Solid state
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Read the following paragraphs, then answer the question on the right.
After handling contaminated dog food, fourteen people in nine states became ill from salmonella. According to the Centers for Disease Control and Prevention (CDC), the people who got sick had given that same contaminated dog food to their pets. At least five people were taken to a hospital, but the incident did not affect any of their dogs.
When people handle contaminated pet food and do not wash their hands well before eating or handling food, they can become ill with salmonella.
The plant that made the dog food was closed while the issue was investigated. The same plant had made food that was recalled by the pet food company four different times in the previous five months. Upon reopening the plant, the company issued a statement that it had taken action to fix the problems.
The cause of the illness was?
A.Not washing hands
B.Salmonella on dog food
C.Unknown
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Answer:
i think the answer was
B.Salmonella on dog food
The cause of the illness was Salmonella on dog food, therefore the correct answer is option B.
What is science?Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.
As stated in the article, the dog food manufacturing facility was shut down while the situation was looked into.
Four times in the preceding five months, the pet food manufacturer had to recall food that was produced at the same factory.
The business said in a statement after reopening the facility that it has taken steps to address the issues caused by Salmonella in dog food.
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How far will a bus travel if it averages a speed of 65 km/h for 7 hours?
What are you solving for?
What’s the equation?
Show work!
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distance= speed*time
distance=65*7=455km
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Answer:
gravitational force
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since they seem like they are falling, gravity usually pulls them down
i think its gravitational force
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Answer:
Newton's second law of motion states that the acceleration ( a) experienced by an object is directly proportional to the net force ( Fnet) experienced by the object and inversely proportional to the mass of the object. In equation form, it could be said that a = Fnet/m. The net force is the vector sum of all the individual force values.
Explanation:
Select the best answer for the question.
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O A.0.7
O B. 0.07
O C.7
O D. 0.007
Answers
0.7 mL of HEPARIN 10,000 units/mL is needed for a 7,000 unit dose.
To calculate the volume of HEPARIN 10,000 units/mL needed for a 7,000 unit dose, we can use the formula:
Volume (mL) = Dose (units) / Concentration (units/mL)
Given that the dose is 7,000 units and the concentration of HEPARIN is 10,000 units/mL, we can plug these values into the formula:
Volume (mL) = 7,000 units / 10,000 units/mL
Volume (mL) = 0.7 mL
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Jo, Daniel and Helen are pulling a metal ring. Jo pulls with a force of 100N in one direction and Daniel with a force of 140N in the opposite direction. If the ring does not move, what force does Helen exert if she pulls the same direction as jo?
Answers
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she is pulling with 40 N force
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The ring does not move means that the forces are equal.
Let's call Jo's force x
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140 = x + 100
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An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. Her jetpack provides a constant thrust of 165 N. If she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force?
A. 132.6 N toward the space station
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C. 98.5 N toward the space station
D. 112.8 N away from the space station
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19.284
or
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Explanation:
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Answer in units of g
Answers
Explanation:
Hey there!
According to the question;
Density of diamond (d) = 3.26g/cm³
And Volume (v) = 0.214 cm³
Mass(m) = ?
From the definition of density;
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Since the gravitational force is inversely proportional to the square of distance, changing the distance to half the original results in 4 times the original force
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The mass of a body is a measure of its inertial property or how much matter it contains.
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Hope it helps you... pls mark brainliest if it helps you5 The diagram shows a quantity of gas enclosed in a cylinder by a piston.
moves to the left
gas
+moves to the right
cylinder
piston
The piston is moved to the left or to the right. The temperature of the gas is kept constant
Which row describes the effect of moving the piston slowly in the direction shown in the table?
movement
of piston
speed of gas
molecules
pressure
of gas
A
to the left
increases
decreases
B
to the left
no change
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debebas
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6 What causes the random, zig-zag movement (Brownian motion of smoke particles susne ded in
Answers
Answer:
A to the left increases and decreases
Two long straight parallel wires seperated by 20cm apart carry current of 20A and 1OA in opposite directions. What is the magnitude of the force on 1m length of the 20A wire
Answers
Answer:
Force is 2 × 10^-4 N
Explanation:
[tex]{ \bf{F = \frac{ \gamma_{o} I _{1} I _{2} l}{2\pi r} }}[/tex]
F is force
I is current
r is separation distance
gamma is a constant
l is wire length
[tex]F = \frac{(4\pi \times {10}^{ - 7}) \times (20) \times (10) \times 1 }{2\pi \times 0.2} \\ \\ F = 2 \times {10}^{ - 4} \: \: newtons[/tex]
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= 20×1×10⁻⁵
=2×10⁻⁴N
Thus, we can conclude that the magnitude of the force on 1m length of the 20A wire is 2×10⁻⁴N.
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1.Name any two part of a flower?
2.write SI unit and fundamental unit of force, power and volume?
Answers
Explanation:
s.i unit of force is kgm/s²
dimensions of force is ML/T²
s.i unit of power kgm²/s³
dimension of power is ML²/T³
s.i unit of volume is m³
the dimension of volume is L³
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Answers
Answer:
Submultiples of kilogram are decagram ,centigram etc. And multiples of kilogram is megagram(1 tonne) , gigagram etc.
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Answer:
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Answer:
25 W bulb will fuse.
The voltages will divide their ratios between the bulbs if we were to connect them.
The resistance of a wire depends on
Select one:
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b. All of the answers are correct.
O c. the temperature of the wire.
O d. the length of the wire.
Answers
Answer:
b
Explanation:
because all are factors that determine the resistivity of a material
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Answer:
Due to interia of motion
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Answer:
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Answer:
An object in a motion when it is continuously changing its position based on a reference point and observed by a person or a device.
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Answers
Answer:
Explanation:
Did this come with a Picture?
