a uniform plank 8.00 m in length with mass 35.0 kg is supported at two points located 1.00 m and 5.00 m , respectively, from the left-hand end. what is the maximum additional mass you could place on the right-hand end of the plank and have the plank still be at rest?

Answers

Answer 1

The maximum additional mass that you could place on the right-hand end of the plank and still have the plank at rest is 48.2 kg.

The first step is to identify the pivot point. In this problem, the pivot point is the point at which the plank is supported.

The sum of the torques acting on an object is zero if the object is at equilibrium. The torque is defined as the cross product of the force and the moment arm of the force. The moment arm is the perpendicular distance between the force and the pivot point. The direction of the torque is given by the right-hand rule.

A torque is said to be positive if it tends to rotate the object counterclockwise and negative if it tends to rotate the object clockwise. We can use this rule to determine the direction of the torque acting on each mass. The torque acting on each mass is given by the product of the mass and the acceleration due to gravity times the distance of the mass from the pivot point. In other words:

Torque = mgd

where m is the mass, g is the acceleration due to gravity, and d is the distance from the pivot point.

The sum of the torques acting on the plank is zero when the plank is at equilibrium. In other words:∑torques = 0The torque due to the weight of the plank itself is zero because it acts at the pivot point. Therefore, we only need to consider the torques due to the additional masses. Let x be the mass placed at the right-hand end of the plank. Then the torques acting on the plank are:

The torque due to 35.0 kg mass = 35.0 kg × 9.81 m/s2 × 1.00 m = 343.35 N·

m (negative torque)Torque due to x kg mass = x kg × 9.81 m/s2 × 3.00 m = 29.43x N·m (positive torque)

The torque due to 8.00 m plank = 0 N·

m (because it acts at the pivot point)Setting the sum of the torques equal to zero:

∑torques = 0-343.35 N·m + 29.43x N·m = 0Solving for x:x = (343.35 N·m) / (29.43 N·m/kg)x = 11.65 kg

The maximum additional mass that you could place on the right-hand end of the plank and still have the plank at rest is the difference between the mass of the plank and the mass that is already on the plank, minus the mass that is at the left-hand end of the plank:

xmax = (35.0 kg - 0.0 kg - 11.65 kg) xmax = 23.35 kg

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Related Questions

What happens when an object experiences friction?
A. Friction changes mechanical energy to heat energy
B. Friction changes mechanical energy to electrical energy.
C. Friction changes mechanical energy to pizza.
D. Friction changes mechanical energy to light energy

Answers

Answer:

its  A. because since heat energy means thermal i think it is A and also When friction acts between two surfaces that are moving over each other, some kinetic energy is transformed into heat energy.

Explanation: your welcome and i hope its right

What is the force of the block pulling forward?

Answers

When we want to move, our feet try to push the ground backwards. But it is the friction from the ground that pushes us forwards.

How do you find Net Force?

Answers

Answer:

Net force is the total amount of force acting on an object when you take into account both magnitude and direction.[1] An object with a net force of zero is stationary. An unbalanced force, or net force of a magnitude greater than or less than zero, leads to acceleration of the object.[2] Once you have calculated or measured the magnitude of a force, combining them to find the net force is simple. Sketching a simple force diagram and making sure all of the forces are labelled and in the correct direction makes calculating net force a breeze.

Explanation:

Explain the difference between general intelligence and specific intelligence.

Answers

Answer:

General intelligence refers to the existence of a broad mental capacity that influences performance on cognitive ability measures.

Specific intelligence refers to a person's aptitude in individual 'modalities' or abilities rather than the more general understanding of intelligence.

Explanation:

Answer:

General intelligence can be defined as a construct that is made up of different cognitive abilities.

Specific intelligence can be defined as a collection of subsets or subcategories of abilities rather than a single or general process.

Sam uses a flame to heat a metal rod. He measures the temperature and finds that over time, temperature increases first closest to the flame and then farther away from the flame. How can Sam explain what is happening on the molecular level as the flame heats the metal rod through conduction?

Answers

Explanation:

the farther he buys the rod in the flame more is heated making the heat travel less and at a faster rate.

Vectors are unchanged if moved to another location as long as their length and direction remain unchanged

true or false

Answers

True. Explanation:it does not change the physical structure it just changes the location

what is the external net force exerted on a 3.5 kg papaya, which is being pushed across a table and has an acceleration of 2.2 m /s² to the left​

Answers

Answer:

F = 7.7 [N]

Explanation:

In order to solve this problem, we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

ΣF = m*a

where:

m = mass = 3.5 [kg]

a = acceleration = 2.2 [m/s^2]

F = (3.5*2.2) = 7.7 [N]

From a height of 20 meters, a stone is thrown downwards at 15 m/s. How long it take the stone to hit the ground?

Answers

Use the second kinematic equation and do the quadratic formula.

Xf = Xi + Vit + 1/2at^2
0 = 20 - 15t - 4.9t^2
-4.9t^2 - 15t + 20 = 0

15 +/- (sqrt b^2 - 4ac) all over 2a
15 +/- (sqrt 225 + 392) all over -9.8
15 +/- 24.84 all over -9.8
(15 - 24.84)/-9.8 = about 1 second

What is the kinetic energy of a 0.38 kg soccer ball that is traveling at a
speed of 120 m/s?

Answers

Answer:

The answer is 2736 J

Explanation:

The kinetic energy (KE) of an object given it's mass and velocity can be found by using the formula

[tex]KE = \frac{1}{2} m {v}^{2} [/tex]

where

m is the mass of the object

v is the velocity

From the question

m = 0.38 kg

v = 120 m/s

We have

[tex]KE = \frac{1}{2} \times 0.38 \times {120}^{2} \\ = \frac{1}{2} \times 0.38 \times 14400 \\ = 0.38 \times 7200[/tex]

We have the final answer as

2736 J

Hope this helps you

Metal cutters have long handles.Give Reason.

Answers

Answer: For leverage and so the can be easily handled.

Explanation:

_______ is taking what you have observed and expressing it as a number.​

Answers

Answer: measurement

Which of the following is the correct massof an object that weighs 1125 N on earth (w=mg)
a. 1225 N
b. 12,005 kg
c. 0.0008 kg
d. 125 kg​

Answers

The correct answer is not listed among the choices.

m = w/g

m = 1,125 / 9.8

m = 114.8 kilograms

Tsunamis are much different than rogue waves. While rogue waves are and other waves are generated by winds tsunamis originate from geological events such as movement of tectonic plates. Tsunamis tend to travel very fast. A tsunami generated off the coast of Chile in 1990 is estimated to have traveled approximately 6200 miles to Hawaii in 15 hours. Determine the speed in mi/hr and m/s. (Given: 1.0 m/s = 2.24 mi/hr)

Can you help me set up the problem and the numbers in the right place?​

Answers

Answer:

410 mi/hr or 180 m/s

Explanation:

Define Physics. Why is a pulley used to hoist flag over the top of the pole

Answers

Answer:

Branch of science concerned with nature and properties of mayter and energy.pulley is use to rise flag and fall back flag so pulley is used

What force is exerted on a ball of mass 100g if it accelerates from rest to 30 m/s in 3 seconds?

Force = mass * acceleration
acceleration = change in velocity / time taken

Answers

Answer:

[tex]a \: force \: \boxed{f} \: of \: \boxed{ 1N}[/tex]

Explanation:

[tex]given : \\ mass \: \boxed{m} = 100g = 0.1kg \\ velocity \: \boxed{v} = 30 {m(s)}^{ - 1} \\ time \: \boxed{t} = 3sec \\ .......................................................... \\ f = ma = \frac{mv}{t } \\ f = \frac{0.1 \times 30}{3} \\ \boxed{f = 1 \: N}[/tex]

♨Rage♨

Which is faster, 1 m/s or 1 mile/hour?

Answers

Answer:

1m/s

Explanation:

1m/s is

2.237 miles per hour

a train travelled from city A to city B. For the first 14 hours, it travelled at an average speed of 120 km/h for the next 10 hours, it travelled at an average speed of 90km/h what was the average speed of the whole journey?

Answers

Answer:

107.5

Explanation:

120 x 14= 1680 90 x 10= 900 Now you add 1680+900= 2580 Then you divide the distance (2580) between the speed (14+10) 2580/24= 107.5

Two billiard balls, each with a mass of 0.17 kg, collide with each other on a
pool table. Before the collision, one ball is moving south at 2.8 m/s and the
other ball is moving north at 1.6 m/s. What is the momentum of this system
after the collision?
A. 0.60 kg-m/s south
B. 0.20 kg-m/s south
C. 0.20 kg.m/s north
D. 0.60 kg.m/s north

Answers

The momentum of the system after the Collison have been obtained as  0.20 kg-m/s south.

What is the momentum?

According to the principle of the conservation of linear momentum, we know that the momentum before collision is equal to the momentum after collision.

In this case, we can see that the two ball are moving in the opposite direction thus the velocity vectors are directed in opposite directions. We would now try to be able to obtain the momentum of the system after the Collison as;

Momentum of the ball moving south - Momentum of the ball moving north

Thus;

0.17 kg(2.8 m/s -  1.6 m/s)

Total momentum of the system =

0.20 kg-m/s south

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hlp
as material moves away from a mid-ocean ridge, it ______.

A.Rises

B.Warms

C.Cools

D.None of the above

Answers

Answer:

i think its C. cools

Explanation:

Answer:

B

Explanation:

A plane passes over Point A with a velocity of 8000 m/s north. Forty seconds later it passes over Point B at a velocity of 10,000 m/s north. What is the planes’ acceleration from A to B?

Answers

Answer:

The planes’ acceleration from A to B is 500m/s^2

Explanation:

Given that the initial velocity u is 8000m/s

and also given the final velocity v=10,000 m/s

the time taken to move from A to B = 40 second

The acceleration is defined as the rate of change of velocity with time

we know that the expression for acceleration is given as

a=(v-u)/t

substituting our given data into the expression for a we have

a=(10000-8000)/40

a=2000/40

a=500m/s^2

The planes’ acceleration from A to B is 500m/s^2

pts Answered Holly was sitting on her bed when she remembered she needed to call her mom about what to do for her grandma's birthday. She got up and did a few dishes before calling her mom, but then she forgot why she had needed to call. She retraced her steps back to her bed, then suddenly remembered the purpose of the call. This can be explained by the ___________.A. Cue overload principle.

Answers

Group of answer choices.

A. Cue overload principle.

B. Recall effect.

C. Encoding specificity principle.

Answer:

C. Encoding specificity principle

Explanation:

Memory can be defined as the ability of an individual to assimilate information, store this information and recall or retrieve it later in the future.

Generally, there are basically three (3) processes associated with memory and these include;

1. Encoding of data: it involves the process of getting data (informations) into our memory.

2. Storage of data: it simply involves the process of storing and maintaining data (informations) in our memory.

3. Retrieval of data: it involves the process of getting or retrieving data (informations) out of our memory.

According to cognitive psychologists, the process of retrieving or getting data out of our memory can fail or be successful depending on a number of factors such as situation, condition, or context.

An encoding specificity principle states that an individual's memory is enhanced and improved when data (informations) made available during the process of encoding is also available at retrieval (decoding).

For instance, if students were tested in the same classroom where they were taught, there is a better chance of retrieving or recalling informations than testing them in a different classroom all together.

Hence, an encoding specificity principle suggest that when the conditions present during the encoding of information into memory are made available during retrieval, this would improve and enhance the recall of such informations. In this context, Holly retraced her steps back to her bed, then suddenly remembered the purpose of the call.

A bullet is fired out of a gun at 940 m/s. How far away does the bullet land if it is in the air for
0.2 seconds?

Answers

Answer:

is this a murderer question

write three examples of uniform
& non-
&
uniform motion.​

Answers

Answer:

Examples of uniform motion:

1. Movement of hands of a watch

2. Rotation and revolution of the Earth

3. Movement of the blades of a ceiling fan

Examples of non-uniform motion:

1. Oscillation of pendulum

2. The motion of a train

3. A person jogging in the park

A Lockheed F-117 Nighthawk stealth bomber starts at rest at the south end of a runway and undergoes a uniform acceleration of 17.98 m/s2 to the north. it takes the plane 7s to reach a velocity of 60.16 m/s to the north. How far does the plane travel along the runway

Answers

Answer:

x = 100.64 [m]

Explanation:

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

[tex]v_{f} = v_{i} + (a*t)\\[/tex]

[tex]v_{f} ^{2} = v_{i} ^{2} + (2*a*x)\\[/tex]

where:

Vi = initial velocity [m/s]

Vf = final velocity = 60.16 [m/s]

a = acceleration = 17.98 [m/s^2]

t = time = 7 [s]

Now replacing the values, we have:

(60.16)^2 = 0 + (2*17.98*x)

x = 100.64 [m]

two football players collide and stick together what type of motion is it?


Help me please!!

Answers

Answer:

Inelastic Collision

Explanation:

My , oh my , what a pervy question.

Two players collide with each other (I dont think they stick together though) and what happens during collision of two bodies is that after the collision , they get pushed apart due to the momentum generated (Newton 2nd law) during collision because they collide with such heavy forces.

Also this is Linear motion (straight line motion).  

The collision is inelastic collision because both players hit each other (stick?) with different velocities.

Linear motion and Inelastic collision.

You are in charge of designing a movie stunt for a new Fast and Furious film. In this scene a stunt person has to jump from a bridge and land on a boat in the water 22.5 m below. The boat is cruising at a constant velocity of 48.3 m/s towards the bridge. The stunt person will jump up at 6.45 m/s as they leave the bridge. You have to give them a cue for when to jump. How far from the bridge should the boat be at the moment the stunt person jumps?

Answers

Answer:

103.5 meters

Explanation:

Given that a stunt person has to jump from a bridge and land on a boat in the water 22.5 m below. The boat is cruising at a constant velocity of 48.3 m/s towards the bridge. The stunt person will jump up at 6.45 m/s as they leave the bridge.

The time the person will jump to a certain spot under the bridge can be calculated by using the formula below:

h = Ut + 1/2gt^2

since the person will fall under gravity, g = 9.8 m/s^2

Also, let assume that the person jump from rest, then, U = 0

Substitute h, U and g into the formula above

22.5 = 1/2 * 9.8 * t^2

22.5 = 4.9t^2

22.5 = 4.9t^2

t^2 = 22.5/4.9

t^2 = 4.59

t = [tex]\sqrt{4.592}[/tex]

t = 2.143 seconds

From definition of speed,

speed = distance /time

Given that the boat is cruising at a constant velocity of 48.3 m/s towards the bridge, substitute the speed and the time to get the distance.

48.3 = distance / 2.143

distance = 48.3 * 2.143

distance = 103.5 m

Therefore,  the boat should be 103.5m away from the bridge at the moment the stunt person jumps?

Put these terms, which describe the way sound travels from the air through your ear, in the correct sequence: three tiny bones in the middle ear vibrate; your outer ear catches the sound and moves it inside your ear; a special nerve carries messages about sound to your brain; your eardrum begins to vibrate; liquid in the coiled tube of your inner ear vibrates

Answers

Explanation:

Hey there!

The orders;

Your outer ear catches the sound and moves it inside your ear.Your eardrumbegin to vibrates. Three tiny bones in middle ear vibrates. Liquid in the colied tube of your inner ear vibrates. A special nerve carries the messages about the sound to the brain.

Hope it helps..

Dominic is one of the tallest son of Mang Marco. He have a height of 180 cm and weight of 68 kg. find her BMI and weight status.

Answers

Answer:

BMI = 20.98 [kg/m^2]; Normal or Healthy Weight

Explanation:

Body mass index (BMI) is a person’s weight in kilograms divided by the square of height in meters. Therefore we must convert the height from centimeters to meters.

BMI = 68 / (1.8)^2

BMI = 20.98 [kg/m^2]

BMI Weight Status

Below 18.5                   Underweight

18.5 – 24.9                   Normal or Healthy Weight

25.0 – 29.9                   Overweight

30.0 and Above           Obese

So the weight status is Normal or Healthy Weight

What problem can you imagine coming from using digitized
DNA storage?

Answers

Answer: There are many problems associated with digitized DNA storage.

Explanation:

The cost of encoding the DNA data is high and lot of working efficiency is required for the same. The encoding process requires a considerable amount of time and encoding is slow. It takes about 400 bytes per second. This is done in a silicon memory chip. The process is millions of times slower.

4. If you perform an experiment and are doubtful about the reliability of its results, what should you do so that another student can accurately repeat your experiment to check your results? (25 Points) Identify the auntion you tortorower and the reasts you got Desite van step you took in your investigation identify the variables in you expiment Show how you on the data you sphered during the enement​

Answers

Answer:

Here we cover why data needs to be replicable and how you can ensure this. ... Data replicability simply means that it is possible for an experiment to be carried out ... Reliability. Replication lets you see patterns and trends in your results. This is ... On the other hand, repeating experiments allows you to identify mistake

Explanation:

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