hows a 170 g hamster sitting on an 830 g wedge-shaped block. The block, in turn, rests on a spring scale. An extra-fine lubricating oil having μs=μk=0 is sprayed on the top surface of the block, causing the hamster to slide down. Friction between the block and the scale is large enough that the block does not slip on the scale.
Answers
The complete question with the scale is missing, so i have attached it.
Answer:
930 g
Explanation:
The block surface is frictionless, therefore, the only force that can possibly be applied to the block from the hamster will be the normal force.
Now, the force of gravity on the hamster acts downward and equals mg. Hence, The normal component will be;
F_n = mgcosθ.
Now, if we Assume that the scale does not respond to horizontal force component, the downward component of the normal force will be expressed as;
F_d = F_n(cosθ)
The scale measures the downward component.
Earlier, we saw that; F_n = mgcosθ
Thus; F_d = mgcosθ × cosθ
F_d = mg(cos²θ)
Now, when the friction was high, the measurement of the scale was;
(m+ M)g
Where ;
m = mass of hamster
M = mass of block
Therefore, when the friction is removed the scale measurement is;
mgcos²θ + Mg or (mcos²θ + M)g
But this is in units of Newton's.
Thus;
Measurement in kg is;
(mcos²θ + M)
We are given;
m = 170 g = 0.17 kg
M = 830 g = 0.83 kg
From the attached scale image,
θ = 40°
Thus;
Measurement = (mcos²θ + M) = ((0.17 cos²40) + 0.83) = 0.93 kg or 930g
Related Questions
When energy is transferred from one part of a system to another, some of the
energy is lost during the transfer and cannot be used as it was intended.
Which two sentences describe examples of this?
A. An electric motor hums as it powers a conveyor belt
B. Stereo speakers emit sound when powered by electrical energy.
O C. Sunlight strikes a solar panel, generating electricity.
O D. A car engine heats up while the car is being driven.
E. Wind moves a turbine, generating electricity.
Answers
Answer:
A. An electric motor hums as it powers a conveyor belt
D. A car engine heats up while the car is being driven.
Explanation:
Energy inefficiency usually involves loss of energy as other forms when they are being converted from one form to another.
The two choices that fit the description includes;
An electric motor humming as it powers a conveyor belt. This energy conversion is supposed to be from electrical to mechanical energy but there is a loss due to the sound energy produced by the motor. Heat energy produced as the car is driven also results in energy inefficiency.Other choices do not show this inefficiency.
Answer:
A. An electric motor hums as it powers a conveyor belt
D. A car engine heats up while the car is being driven.
Explanation:
WILL REWARD brief history of nuclear power. inventors and or who discovered nuclear power and when it was first used.
Answers
Answer:
1951 an experimental nuclear reactor in Arco, Idaho, produces enough electricity to power for light bulbs...... 1954 the atomic energy act authorizes development of nuclear energy for a civilian use.1957 first commercial nuclear-powered Generating Station is built in the shippingport,Pa.Explanation:
● Enrico Fermi was the one who discovered nuclear power.
● nuclear power was first used
[ December 20, 1951]
On an icy day, you worry about parking your car in your driveway, which has an incline of 12º. Your neighbor's driveway has an incline of 9.0º, and the driveway across the street is at 6.0º. The coefficient of static friction between tire rubber and ice is 0.15. Which driveway(s) will be safe to park in?
Answers
Answer:
Driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.
Explanation:
Let suppose that car is represented by a particle, then we proceed to construct its free body diagram and corresponding equations of equilibrium:
[tex]\Sigma F_{x'} = f - W\cdot \sin \theta = 0[/tex] (Eq. 1)
[tex]\Sigma F_{y'} = N-W\cdot \cos \theta = 0[/tex] (Eq. 2)
Where:
[tex]f[/tex] - Static friction force, measured in newtons.
[tex]N[/tex] - Normal force on the car from the ground, measured in newtons.
[tex]W[/tex] - Weight of the car, measured in newtons.
[tex]\theta[/tex] - Driveway inclination, measured in sexagesimal degrees.
By applying definitions of maximum static friction force and weight, we expand the system of equations presented above:
[tex]\mu_{s}\cdot N -m\cdot g\cdot \sin \theta = 0[/tex] (Eq. 1b)
[tex]N - m\cdot g \cdot \cos \theta = 0[/tex] (Eq. 2b)
Where:
[tex]\mu_{s}[/tex] - Static coefficient of friction, dimensionless.
[tex]m[/tex] - Mass of the car, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
Then, we substitute normal force and simplify the resulting expression:
[tex]\mu_{s}\cdot m\cdot g \cdot \cos \theta -m\cdot g \cdot \sin \theta = 0[/tex]
[tex]\mu_{s} = \tan \theta[/tex]
[tex]\theta = \tan^{-1}\mu_{s}[/tex] (Eq. 3)
Based on such result, we can conclude that if driveway inclination is greater than value reported, then car shall not be safe in case of parking. Our reference angle is: ([tex]\mu_{s} = 0.15[/tex])
[tex]\theta = \tan^{-1} 0.15[/tex]
[tex]\theta \approx 8.531^{\circ}[/tex]
By direct comparison, we find that driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.
a positive charges is brought closer to another positive charge .Explain what happened to the Electric potential as both charges are brought closer together
Answers
When like charges get closer, potential energy increases.
PLEASE HELP!
Which action is an example of a service provided by an organization that receives charitable donations?
A. researching vaccinations
B. advertising new medications
C. contracting to install waiting area carpeting
D. selling hospital supplies for a privately owned company
Answers
Answer:
A
Explanation:
Source: Trust me bro
Giving is a kind deed. Giving back to people in need allows you to grow personally and gives you a higher sense of fulfilment. It also makes you feel good to serve others. Thus, option A is correct.
What charitable donations in researching vaccinations?Donations to non-profit organizations are considered charitable contributions. Donations may take the form of cash, non-monetary goods, in-kind services, or volunteer time. According to IRS rules, the donation may be tax-deductible.
If you itemize your deductions, you may deduct gifts of money or other property provided to qualifying organizations for charitable purposes. In general, you can deduct up to 50% of your adjusted gross income, but in some circumstances, there are 20% and 30% limitations.
Therefore, A contribution is a gift given to a cause, humanitarian organization, or charity. A donation can come in many ways, such as cash, alms, services, or tangible objects like furniture, toys, food, or automobiles. A donation could meet a demand for transplantable organs or blood.
Learn more about charitable donations here:
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i need help with #3 plz and thank you
Answers
An 85 kg construction worker has 37,485J of gravitational potential energy. To the nearest whole number,
worker is _________
mabove the ground
Answers
Answer:
45m above the ground
Explanation:
got it right on Edg 2020
Explain how mass and velocity play a big role in the amount of momentum an object has.
Answers
Answer:
Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v. The SI unit for momentum is kg · m/s.
Answer:
Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v. The SI unit for momentum is kg · m/s.
Explanation:
Which types of data should be modified to change the rate of rotation?
(1 point)
o the number of loops in the coil and the distance from the source of the current
o the number of loops in the coil and the electric current
the dimensions of coils and the distance from the source of the current
o the dimensions of the coils and the electric current
Answers
Answer:
the number of loops in the coil and the electric current.
Explanation:
Just took the test and got it correct.
What is the legal height the player is allowed to serve from a. Above the waist B. Below the waist C. On the waist D. above the chest
Answers
Answer: Option B.
Explanation:
I guess that this refers to the Badminton rules, particularly to the position of the racket (or the head of the racket, where the "head" is the part with the net, that you use to hit the shuttle) when serving.
The head of the racket must be swung from below your waist. So the head of the racket must be below your waist before you do the service (With a part of the head is enough).
Then the correct option is B. Below the waist.
You are riding a bicycle. If you apply a forward force of 172 N, and you and the bicycle have a combined mass of 51 kg, what will be the forward acceleration of the bicycle? (Assume there is no friction)
Answers
Answer:
The answer is 3.37 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]acceleration = \frac{force}{mass} \\[/tex]
From the question
force = 172 N
mass = 51 kg
We have
[tex]acceleration = \frac{172}{51} \\ = 3.372549019...[/tex]
We have the final answer as
3.37 m/s²Hope this helps you
A ping pong ball rolls off a 5.Om high table and lands on the floor, 3.0m
away from the table. How long is the ball in the air?
Answers
Answer:
The ball was 1.01 seconds in the air
Explanation:
Horizontal Motion
When an object is thrown horizontally with a speed v from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:
[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]
If we know the value of d and h, we can solve the equation for v:
[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]
Since the horizontal speed is constant, we can calculate the time the ball was in the air by using the equation:
[tex]\displaystyle t=\frac{d}{v}[/tex]
The ping pong ball rolls from a height of h=5 m and lands on the floor a distance of d= 3 m away from the table. Calculate the speed:
[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{2\cdot 5}}[/tex]
[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{10}}[/tex]
Calculating:
[tex]v=2.97\ m/s[/tex]
Now calculate the time:
[tex]\displaystyle t=\frac{3}{2.97}[/tex]
[tex]t=1.01\ sec[/tex]
The ball was 1.01 seconds in the air
Note: The time does not depend on the distance d at all. If we borrow the equation from free-fall motion, the time can be calculated with:
[tex]\displaystyle t=\sqrt{\frac {2h}{g}}=\sqrt{\frac {10}{9.8}}=1.01\ sec[/tex]
For a substance to change from a gas to a liquid, what must happen to its particles?
Answers
Which of these chemical properties of a sheet of paper
Answers
Answer:
Paper is created mainly from organic compounds such as oxygen, carbon, hydrogen. Paper has non-organic compounds also for improving the properties.
Please mark as brainliest.
First to answer.
The two factors that determine velocity are
A: speed and direction
B: direction and speed
C: position and rate
D:distance and mass
PLEASE HELP ME
Answers
Answer:
A: speed and direction
Can i get brainliest
Which of the following scenarios is possible for the resultant velocity of an airplane in a strong wind to be 150 m/s?
A. The wind is blowing at 10 m/s. The airplane is flying against the wind at 140 m/s.
B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.
C. The wind is blowing at 200 m/s. The airplane is flying with the wind at 50 m/s.
D. The wind is blowing at 50 m/s. The airplane is flying against the wind at 100 m/s.
Answers
Answer:
B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.
Explanation:
From Physics we get that resultant velocity of an airplane is the sum of an absolute velocity and a relative velocity, that is:
[tex]\vec v_{A} = \vec v_{W}+\vec v_{A/W}[/tex] (Eq. 1)
Where:
[tex]\vec v_{W}[/tex] - Wind velocity, measured in meters per second.
[tex]\vec v_{A/W}[/tex] - Airplance velocity relative to wind, measured in meters per second.
[tex]\vec v_{A}[/tex] - Airplane velocity, measured in meters per second.
If we assume that [tex]\vec v_{W} = 20\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex] (The airplane flies with the wind), [tex]\vec v_{A/W} = 130\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex], then the resultant velocity of the airplane is:
[tex]\vec v_{A} = 20\,\hat{i}+130\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex]
[tex]\vec v_{A} = 150\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex]
Therefore, correct answer is B.
Answer:
B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.
Explanation:
how long does it take a dollar bill that is 6 inches long to drop through its length (hint: Convert the length to meters and use a formula to find the time taken for the dollar to free fall through this length)
Answers
Answer:
3.4seconds
Explanation:
if a dollar was times for how long it would fall down to its length it would be 3.4 seconds
How can a small boy balance a big boy
on asea- saw ? Show with a diagram
Answers
Answ
— How can a small boy balance a big boy on a sea-saw? Show with a diagram. fast please...... Get the answers you need, now!
2 answers
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Explanation:
Help! Please: Which is elastic and which is inelastic
Answers
What should be the ending of the second element in a covalent compound?
-ide
-ium
the prefix
the subscript
Answers
Answer:
-ide
Explanation:
the second element is names by taking the stem of the element name and adding -ide. a system if numerical prefixes is used to specify the the number if atoms in a molecule.
Answer:
A. -ide
Explanation:
what is the unit of magnetic field
Answers
Answer:
Hope this helps!~ (Sorry if you get it wrong or I got it wrong-)
Explanation:
The standard SI unit for magnetic field is the Tesla, which can be seen from the magnetic part of the Lorentz force law Fmagnetic = qvB to be composed of (Newton x second)/(Coulomb x meter). A smaller magnetic field unit is the Gauss (1 Tesla = 10,000 Gauss).
~The Confuzzeled homan
Describe the stratosphere.
What happens to the air pressure when you get closer to Earth?
What are the layers of the atmosphere?
Answers
1. The stratosphere is above the troposphere. This layer of the atmosphere is where planes fly. At the top of the stratosphere, there is a ozone layer.
2. The mesosphere is above the stratosphere. Temperatures drastically drop in the mesosphere. It is the middle layer of the atmosphere.
3. Here are the layers of the atmosphere:
TroposphereStratosphereMesosphereThermosphereExosphereHope this helps you!
PHYSICAL SCIENCE, PLEASE HELP!
Which items are matter?
Answers
Answer:
Mobile phone & battery.
Rashid lifts a flower pot 0.8m off the floor using a constant force of 20 N. How much work is done on the flower pot?
Answers
Answer:16 J
Explanation:
Work done = force × displacement
In this case the body has been displaced to a height
127) A swimmer heading directly across a river that is 200 m wide reaches the opposite bank in
6 min 40 s. During this swim, she is swept downstream 480 m. What is the speed of the
current?
A) 0.50 m/s
B) 0.80 m/s
C) 1.2 m/s
D) 1.4 m/s
E) 1.8 m/s
Answers
Answer:
C
Explanation:
Is anyone a boy here lol?
Answers
Answer:
yes there are a lot of boys on this platform
1. Who were the first three countries to build rocket engines?
O Russia, Germany, China
O Germany, China, Canada
O Russia, USA, Germany
O USA. China, Russia
Answers
Answer:
i think its Russia, USA, Germany.
Why is the unit of momentum called derived unit
Answers
Answer:
the SI unit of momentum is :- kg.ms-1
and we know that,
kinetic energy = 1/2 mv2
E=p2/2m
p=(2Em)1/2
so the derived units are (J.kg)1/2
Explanation:
Which statement best describes what Kendall can do?
Answers
Answer: Explanation:
She can measure the volume and mass of the marble, the volume and mass of the water, and the volume and mass of the graduated cylinder. She can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder.
What is a non-example of Newton's 3rd law of motion?
Answers
Answer:
Unbalanced forces are not examples of Newton's third law because not all opposite reactions are unbalanced forces.
Explanation: