determine the magnitude of the minimum perpendicular force that must be applied to a 3.0 kg book to keep it from sliding down a vertical wall.
Answers
29.43 newtons of force is needed to keep it from sliding down on a vertical wall.
What is newton?
Newton's Laws of Motion, formulated by English physicist and mathematician, Sir Isaac Newton, are three physical laws that form the basis for classical mechanics. These laws describe the relationship between a body, the forces acting upon it, and the resulting motion of the body. Newton's First Law states that every object in a state of uniform motion will remain in that state of motion unless an external force is applied to it. This law is also known as the Law of Inertia. Newton's Second Law states that the acceleration of an object is directly proportional to the net force applied to the object, and inversely proportional to its mass. Finally, Newton's Third Law states that for every action, there is an equal and opposite reaction. These three laws form the foundation of classical mechanics and have been used to explain and predict the motion of objects for centuries.
Given,
mass of the book (m) = 3kgs
To keep it from sliding from a vertical wall we need to apply Vertical up force.
So this vertical up force Cancels or restricts the gravitational force or effect on the book or an object.
Now let us apply Newtons 2nd law,
f-mg= ∈fext = 0,
f=mg,
here G=9.81 , M=3
Substitute the above in the formula
F=9.81*3=29.43N
hence the answer is 29.43N
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Related Questions
You are building a display for a children's science museum in which a uniform, solid sphere of radius 0.123 m starts at rest at the top of a "hill" and rolls, without slipping, down a track and around a loop-the-loop of radius = 1.76 m. You have already determined that the ball has to be moving at a speed no less than 16 m/s at the top of the loop in order to make it around the loop without falling.
Answers
For the display in the children's science museum, we want to demonstrate the physics of a solid sphere rolling down a hill and around a loop-the-loop. The sphere has a radius of 0.123 m and starts at rest at the top of the hill. As it rolls down the track, it gains kinetic energy and rotational energy. However, in order to make it around the loop without falling, the sphere needs to have a minimum speed of 16 m/s at the top of the loop.
To create the display, we can use a model of the hill and loop made out of foam or other materials. We can then place the solid sphere at the top of the hill and give it a gentle push to start it rolling down the track. As it gains speed, it will start to rotate and pick up rotational energy as well. Once the sphere reaches the loop, it needs to have enough kinetic energy to make it around the loop without falling. This means it needs to be moving at a minimum speed of 16 m/s at the top of the loop. We can use a sensor or other measurement device to determine the speed of the sphere as it approaches the loop, and adjust the starting position or initial push as needed to ensure it reaches the minimum speed. Overall, this display will be a great way to teach children about the concepts of kinetic and rotational energy, as well as the physics of rolling and looping objects.
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In which phase is the Moon during a solar eclipse?
A
Quarter moon
B
New moon
C
Blue moon
D
Hunters moon
Answers
What variable is inversely proportional to electrostatic force?
*k
*q1
*r
*mass
Answers
According to the question, The electrostatic force is inversely related to the square of the separation distance.
Electrostatic force, where is it?Between two charges that are separated by a distance, there is an electrostatic force. The size of each charging and the separation between them determine the strength of the electrostatic force. Two charges that are either positive or negative when placed together repel one another.
Why do electrostatic forces exist?Positively and negatively charges are known to interact with one another. The magnitude of the electrostatic force, however, serves as a gauge for the strength of all this interaction. The magnitude of the static electricity and the spacing between them both contribute to this force.
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A skater moves with 15 m/s velocity in a circle of radius circle of radius 30 m. The ice exerts a center force of 450 N. What is the mass of the skater?
Answers
Order: Run the following IV's consecutively over the next 24 hours. (1) 1000 mL RL (2) 500 mL DENS (3) 1000 mL DsW 1. Calculate the total volume per minute using a standard macrodrip tubing 10 gtts/ml 2. Calculate the total volume per minute using a macrodrip tubing in which 25gtts = 1ml. Refer to the study guide for IV's
Answers
The total volume per minute using a standard macrodrip tubing (10 gtts/ml) is 34 drops/minute. The total volume per minute using a macrodrip tubing where 25 gtts = 1 ml is 14 drops/minute.
Calculation:
Total volume per minute using standard macrodrip tubing (10 gtts/ml):
To calculate the total volume per minute, we need to determine the total number of drops and convert it to milliliters per minute.
Given:
IV 1: 1000 mL RL
IV 2: 500 mL DENS
IV 3: 1000 mL DsW
Using a macrodrip tubing (10 gtts/ml):
IV 1: 1000 mL RL = 1000 * 10 = 10,000 drops
IV 2: 500 mL DENS = 500 * 10 = 5,000 drops
IV 3: 1000 mL DsW = 1000 * 10 = 10,000 drops
Total drops = 10,000 + 5,000 + 10,000 = 25,000 drops
Converting drops to milliliters per minute:
25,000 drops / 10 gtts/ml = 2,500 ml / minute
2,500 ml / minute ≈ 34 drops / minute
The total volume per minute using standard macrodrip tubing is approximately 34 drops/minute.
Total volume per minute using macrodrip tubing (25 gtts = 1 ml):
To calculate the total volume per minute, we need to determine the total number of drops and convert it to milliliters per minute.
Given:
IV 1: 1000 mL RL
IV 2: 500 mL DENS
IV 3: 1000 mL DsW
Using a macrodrip tubing (25 gtts/ml):
IV 1: 1000 mL RL = 1000 / 25 = 40 ml
IV 2: 500 mL DENS = 500 / 25 = 20 ml
IV 3: 1000 mL DsW = 1000 / 25 = 40 ml
Total volume = 40 ml + 20 ml + 40 ml = 100 ml
Converting milliliters to drops per minute:
100 ml * 25 gtts/ml = 2500 drops / minute
2500 drops / minute ≈ 14 drops / minute
The total volume per minute using macrodrip tubing (25 gtts = 1 ml) is approximately 14 drops/minute.
Using a standard macrodrip tubing (10 gtts/ml), the total volume per minute is approximately 34 drops/minute.
Using a macrodrip tubing where 25 gtts = 1 ml, the total volume per minute is approximately 14 drops/minute.
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can anyone help me with this
Answers
Answer:
earth is 4.54 billion years old
for an organism to survive they would have to change ( mutate )
A mutation is any permenant change in dna of a gene or chromosome
some mutations are bad and some can be good
Explanation:
the lamps in a string of decorative lights are connected in parallel across a constant-voltage power source. what happens if one lamp burns out? (assume negligible resistance in the wires leading to the lamps.)
Answers
In parallel circuit voltage across each lamp is same. If one lamp burns, then there is no effect on other bulbs that the brightness of other bulbs will not change appreciably.
If or more components are linked in parallel, they have the equal difference of capability (voltage) throughout their ends. The ability differences across the additives are the identical in value, and additionally they have identical polarities. The identical voltage is applied to all circuit components related in parallel. the whole modern-day is the sum of the currents via the person additives, according with Kirchhoff's current law.
A circuit is a course for electrons to drift thru. This float of electrons in the circuit is termed an electric current. Circuits can take forms: a series circuit and a parallel circuit. each these varieties of circuits are used within the actual world and observed inside the wiring of machines, our homes, and electric lights.
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The offspring resulting from sexual reproduction are exactly like their parents.
false
true
Answers
Answer:
false
Explanation:
As both parents contribute half of the new organism's genetic material, the offspring will have traits of both parents, but will not be exactly like either parent
Answer:
False
Explanation:
The only time you end up like your parent is asexual reproduction
T/F. In most developed countries, health care is a private service only available to those who can afford it.
Answers
False. In most developed countries, healthcare is either publicly funded or provided through a combination of public and private funding. This means that everyone, regardless of their ability to pay, has access to basic healthcare services.
Developed countries typically have some form of universal healthcare system in place, which ensures that everyone has access to basic healthcare services. This may be funded through taxes or a combination of public and private funding. While there may be private healthcare options available for those who can afford it, access to basic healthcare services is not limited to those with financial means. This is in contrast to many developing countries where healthcare access is often limited to those who can afford to pay for private healthcare services.
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. Which will exert more pressure, 100 kg mass on 10 m3 or 50 kg mass on 4 m2? Give reason
Answers
The 50 kg mass on 4 m2 on will exert more pressure.
What is pressure?
Pressure is described as the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Mathematically pressure = force / area
From Newton's second law
force = mass x acceleration where Acceleration due to gravity = 9.8m/s²
Comparing both pressures where
P1 = 100x 9.8 / 10
p1 = 100 pa
p2 = 50 x 9.8/ 4
p2 = 125 pa
Therefore The 50 kg mass on 4 m2 on will exert more pressure since it exerts more pressure.
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20 POINTS:
Why does the initial hill of a roller coaster need to be steep?
Answers
Answer: A roller coaster does not have an engine to generate energy. The climb up the first hill is accomplished by a lift or cable that pulls the train up. This builds up a supply of potential energy that will be used to go down the hill as the train is pulled by gravity
Hope this helps! Good luck with future homework and exams!
the acceleration due to gravity on the moon is about one- sixth what it is on earth. if an object is thrown vertically upward on the moon, how many times higher will it go than it would on earth, assuming the same initial velocity?
Answers
If thrown with the same initial speed, the object will go six times higher on the Moon than Earth.
What exactly is velocity ?Velocity is the pace and direction of an object's movement, whereas speed is the timekeeping at which an object is travelling along a path. In those other words, velocity is a vector, whereas speed is a scalar quantity.
What defines how velocity changes over time?Any time an object moving in a horizontal path experiences an acceleration, it is either speeding up, slowing, or spinning around because acceleration is described as any change in velocity over time.
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3. (40) Jacobian, Velocity, Force. - a sin A planar 2-link robot arm has the Jacobian J(q) = acoso, (a + b)cos where the joint variable is q = [0, 0,]' and the link lengths are a, b. b cose -b sine 0
Answers
In this case, we are considering a 2-link robot arm that operates within a 2D plane. The robot consists of two links connected by joints, with the first link having a length of "a" and the second link having a length of "b".
The Jacobian matrix is a valuable tool for establishing the relationship between the velocity of the end effector (the robot's tool or hand) and the velocity of its joints.
The Jacobian matrix, denoted as J(q), connects the joint velocities to the velocity of the end effector and is defined as follows:
J(q) = [dx/dq1 dx/dq2]
Here, q1 and q2 represent the joint angles, dx signifies the change in position of the end effector, and the resulting matrix J(q) is a 2x2 matrix.
For this specific 2-link robot arm, the Jacobian matrix is given by:
J(q) = [acos(q1) (a + b)cos(q1 + q2);
asin(q1) (a + b)sin(q1 + q2)]
In this expression, q = [q1 q2] represents the joint variables.
To obtain the velocity of the end effector, we can multiply the Jacobian matrix by the joint velocities vector q_dot:
v = J(q) * q_dot
Here, q_dot = [q1_dot q2_dot] represents the vector of joint velocities.
Moreover, if we aim to determine the force required to move the robot arm, we can use the equation:
F = J(q)^T * T
In this equation, J(q)^T denotes the transpose of the Jacobian matrix, and T represents the torque vector. The torque vector is defined as:
T = [tau1 tau2]
Where tau1 and tau2 represent the torques applied to the respective joints.
In summary, the Jacobian matrix enables us to establish the relationship between the velocity of the end effector and the velocity of the joints. Additionally, the force required to move the robot arm can be obtained by utilizing the transpose of the Jacobian matrix along with the torque vector.
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pls include a explanation!!!:)<3
Answers
Answer:
Option C. 4.5×10¯² N
Explanation:
From the question given above, the following data were obtained:
Charge 1 (q₁) = +5×10¯⁶ C
Charge 2 (q₂) = –4×10¯⁶ C
Distance apart (r) = 2 m
Electrical constant (K) = 9×10⁹ Nm²/C²
Force (F) =?
The magnitude of the force can be obtained as follow:
F = Kq₁q₂ / r²
F = 9×10⁹ × 5×10¯⁶ × 4×10¯⁶ / 2²
F = 0.18 / 4
F = 0.045
F = 4.5×10¯² N
Thus, magnitude of the force is 4.5×10¯² N
can someone mark the brainliest?
Answers
Answer:
I think I can have a good day
Answer:
What do you mean by your question?
Please help me on due today
A personal enrichment goal is related to your life outside the classroom. You might set a goal to read every day or take on a new challenge in an extracurricular team, sport, or activity.
Your completed portfolio will demonstrate how you worked to achieve your stated goals.
• Step 1: Decide what you want to achieve.
• Step 2: Set your goal.
• Step 3: Decide what actions you need to take to reach your goal.
• Step 4: Set a time frame.
• Step 5: Think about your assets and obstacles.
Subject-Matter Achievement Goal
1. My subject-matter achievement goal is:
Answer:
2. My action steps are:
Answer:
3. My time frame is:
Answer:
4. Assets and Strengths:
Answer:
5. Motivation:
Answer:
6. Obstacles:
Answer:
7. Solutions:
Answer:
Study/Organizational Skills Goal
8. My study/organizational skills goal is:
Answer:
9. My action steps are:
Answer:
10. My time frame is:
Answer:
11. Assets and Strengths:
Answer:
12. Motivation:
Answer:
13. Obstacles:
Answer:
14. Solutions:
Answer:
Personal Enrichment Goal
15. My personal enrichment goal is:
Answer:
16. My action steps are:
Answer:
17. My time frame is:
Answer:
18. Assets and Strengths:
Answer:
19. Motivation:
Answer:
20. Obstacles:
Answer:
21. Solutions:
Answer:
Answers
Subject-Matter Achievement Goal
1. My subject-matter achievement goal is:
Answer: Read 1 full chapter book in 1 week
2. My action steps are:
Answer: Read an equal amount of chapters every day for a week
3. My time frame is:
Answer: 1 week
4. Assets and Strengths:
Answer: ability to focus,
5. Motivation:
Answer: Great interest in the book I chose
6. Obstacles:
Answer: Might lose page number, forget where I am at in the book, forget to read one day
7. Solutions:
Answer: Get or make a bookmark, keep a personal reading log, set alarm for a certain time each day
Study/Organizational Skills Goal
8. My study/organizational skills goal is:
Answer: manage my time better
9. My action steps are:
Answer: planning things out to be more organized
10. My time frame is:
Answer: from now to the end of the school year
11. Assets and Strengths:
Answer: a planner so I can pace myself
12. Motivation:
Answer: give breaks and take time to do things I enjoy
13. Obstacles:
Answer: leaving things last minute
14. Solutions:
Answer: planning to do certain things before a certain day
This can be for any of those goals
Personal Enrichment Goal
15. My personal enrichment goal is:
Answer: Stay healthy
16. My action steps are:
Answer: eat healthier foods
17. My time frame is:
Answer: now to the end of the school year
18. Assets and Strengths:
Answer: I don't make a big deal out of eating veggies and stuff
19. Motivation:
Answer: treat myself every so often
20. Obstacles:
Answer: Craving junk food
21. Solutions:
Answer: find a way to make healthier foods taste similar to junk food (EX. Put cheese on broccoli)
When ___ attacks the surface of a metal, it becomes tarnished.
Answers
Answer:corrosion (i believe)
Explanation:
Answer
Mix baking soda and salt with hot water and cover everything with it. The proportions are not crucial, but about 1 tablespoon of salt and 1 tablespoon of baking soda to 3 dl water should do the trick. Lightly tarnished objects should clean up in a few minutes, and you just rinse them of and dry them.
Explanation:
Why did scientists using classical,Newtonian physics gave difficulty explaining the photoeelectric effect?
Answers
Answer:
Classical physics viewed light as a wave.
Explanation:
because classical physics describes light as waves
GP S Review. A piece of putty is initially located at point A on the rim of a grinding wheel rotating at constant angular speed about a horizontal axis. The putty is dislodged from point A when the diameter through A is horizontal. It then rises vertically and returns to A at the instant the wheel completes one revolution. From this information, we wish to find the speed v of the putty when it leaves the wheel and the force holding it to the wheel.(d) Find the period of the motion of point A in terms of the tangential speed v and the radius R of the wheel.
Answers
To find the period of the motion of point A, we need to consider the time it takes for point A to complete one revolution.
Since the wheel is rotating at a constant angular speed, the time it takes for point A to complete one revolution is equal to the time it takes for the grinding wheel to complete one revolution.
The period of the motion of point A can be found by dividing the circumference of the wheel by the tangential speed of the putty.
The circumference of the wheel is equal to 2π times the radius of the wheel (C = 2πR).
So the period T is given by T = C/v, where v is the tangential speed of the putty.
Substituting the value of C, we get T = (2πR)/v.
Therefore, the period of the motion of point A is (2πR)/v.
This means that it takes (2πR)/v seconds for point A to complete one revolution.
In summary, the period of the motion of point A is (2πR)/v, where R is the radius of the wheel and v is the tangential speed of the putty.
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35. Vector A has a negative x component 3.00 units in
M length and a positive y component 2.00 units in length.
Answers
According to the given statement the value of :
a - \(\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}\)
b - θ is in the second quadrant so θ = 180⁰ + (-33.7⁰) = 146⁰
c-\(\overrightarrow{\mathrm{B}}=3.00 \hat{\mathrm{i}}+6.00 \hat{\mathrm{j}}\)
What purposes do vector?In science, anything that has both a direction and a magnitude is referred to as a vector. They are typically represented by pointing arrows, the length of which denotes the size of the vector.
Briefing:The component description of A is just restated to constitute the answer to part (a):
A\(_x\) = -3.00 , A\(_y\) = 2.00
(a) \(\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}\)
(b) \(|\overrightarrow{\mathrm{A}}|\) = √(A\(_z\)² + A\(_y\)²) = √( (-3.00)² + (2.00)²) = 3.61
θ = tan -1 \(\left(\frac{\mathrm{A}_{\mathrm{y}}}{\mathrm{A}_{\mathrm{x}}}\right)\) = tan-1 \(\left(\frac{2.00}{-3.00}\right)\) = -33.7⁰
θ is in the second quadrant so θ = 180⁰ + (-33.7⁰) = 146⁰
(c) R\(_x\) = 0, R\(_y\) = -4.00 and \(\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}\) thus \(\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}\) and
B\(_x\) = R\(_x\) -A\(_x\) = 0-(-3.00) = 3.00,
B\(_y\) = R\(_y\) - A\(_y\) = -4.00-2.00= -6.00
therefore \(\overrightarrow{\mathrm{B}}=3.00 \hat{i}+6.00 \hat{j}\).
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The complete question is -
Vector A has a negative x component 3.00 units in length and a positive y component 2.00 units in length. (a) Determine an expression for A in unit-vector notation. (b) Determine the magnitude and direction of A. (c) What vector B when added to A gives a resultant vector with no x component and a negative y component 4.00 units in length.
What is the resistance of a light bulb if a potential difference of 120 V will produce a current of 0.5 A in the bulb?
0.0042 0
0 0.5 0
O 60 n
O 240 h
Answers
Explanation:
Remember
V = IR which is V/I = R 120 v / .5 A = 240 Ω
The closest star to our solar system is Alpha Centauri, which is 4.12 × 10^16 m away. How long would it take light from Alpha Centauri to reach our solar system if the speed of light is 3.00 × 10^8 m/s? (Provide an answer in both seconds and in years.)
(According to the textbook the answer is 4.35 years, i'm just not sure how to get there as I keep getting a different answer)
Answers
Time = (distance) / (speed)
Time = (4.12x10^16 m) / (3 x10^8 m/s)
Time = 1.37 x 10^8 seconds
Divide the seconds by 86,400 to get days. Then divide the days by 365 to get years.
Time = about 4.35 years
The greatest variation in size, mass, and luminosity occurs in:.
Answers
The greatest variation in size, mass, and luminosity occurs in elliptical galaxies.
What is Variation?
This is defined as the difference from the norm which is exhibited by objects.
In the solar system, variation in features such as size, mass, and luminosity occurs mostly in elliptical galaxies due to presence of array of stars thereby making it the most appropriate choice.
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Will exercising for 1 hour each day help you sleep better?
Write a valid Hypothesis.
Identify what the controls are.
Design an experiment to test your hypothesis (include factors of the experiment
you will keep the same and factors you will change.
Identify the independent and dependent variables of the experiment.
Help plz..And No links!! I repeat No links!!

Answers
Answer:
No it wont help you sleep better
Explination:
Density is calculated by combining 2 units, therefore the unit we use to measure density is called a _____________________unit. What is the unit?
Answers
Answer: Dependent Unit or System of Units
Explanation:
Density is calculated by dividing mass (Kg) by volume (L).
The unit of Density is Kg/L or one of their derivatives such as g/cm³.
17. What is the gain in gravitational potential energy of a body of weight 2000 N as it rises from a height of 20 m to a height of 25 m above the earth's surface?
(A) 400 J
(B) 1 000 J
(C) 10 000 J
(D) 20 000 J
Answers
Answer:
C) 10000 J
Explanation:
∆p.e =mg∆h
= 2000 × 5
= 10000J
A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.
Answers
Answer:
Density= 2.78 g/cm³
Relative density=2.8
Explanation:
To calculate the density of the cube we have to use the formula ρ=mass/volume
ρ stands for density.
So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³
3³= 9 cm³
Now plug in the values. ρ= 25 g/9 cm³
ρ= 2.78 g/cm³
To find the relative density, we have to use the formula ρsample/ρH20
The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.
Now we have to make the units same so you change the unit of the density of cube to kg/m³
So, 25/1000= 0.025 kg
9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)
=0.000009 m³
The new density= 0.025 kg/ 0.000009 m³
= 2777.78 kg/m³
Now plug the values into the formula:
relative density= 2.777.78 kg/m³ / 997 kg/m³
=2.8
There is no unit since kg/m³ and kg/m³ cancels
A particle with a mass of 6.68 times 10^-27 kg has a de Broglie wavelength of 7.25 pm. What is the particle's speed? Express your answer to three significant figures.
Answers
To find the particle's speed, we can use the de Broglie wavelength equation:
λ = h/p
where λ is the de Broglie wavelength, h is Planck's constant, and p is the momentum of the particle. We can rearrange this equation to solve for the momentum:
p = h/λ
Now we can use the momentum and the mass of the particle to find its speed:
v = p/m
where v is the speed and m is the mass.
Plugging in the given values, we get:
p = (6.626 x 10^-34 J s)/(7.25 x 10^-12 m) = 9.13 x 10^-23 kg m/s
v = (9.13 x 10^-23 kg m/s)/(6.68 x 10^-27 kg) = 1.37 x 10^4 m/s
Therefore, the particle's speed is 1.37 x 10^4 m/s.
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ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answers
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
A 41 g Ice cube at -21 C is dropped into a container of water at 0 C. How much water freezes onto the ice? The specific heat of ice is .5 cal/g C and it's heat of fusion of is 80 cal/g.
Answers
Answer:
The right solution is "5.38 grams".
Explanation:
The given values are:
Heat of fusion,
L = 80 cal/g
Mass of ice cube,
\(m_{ice} = 41 \ g\)
Specific heat of ice,
\(C_{ice}=0.5 \ cal/g\)
Let,
Gram of water freezes will be "m".
⇒ \(mL=m_{ice} C_{ice} (0+21)\)
Or,
⇒ \(m=\frac{m_{ice} C_{ice} (0+21)}{L}\)
On substituting the values, we get
⇒ \(=\frac{41\times 0.5\times 21}{80}\)
⇒ \(=\frac{430.5}{80}\)
⇒ \(=5.38 \ grams\)