1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nordsb [41]
4 years ago
5

The top of a ladder slides down a vertical wall at a rate of 0.125 m/s. at the moment when the bottom of the ladder is 5 m from

the wall, it slides away from the wall at a rate of 0.3 m/s. how long is the ladder?
Physics
1 answer:
Contact [7]4 years ago
5 0
Vertically (y-axis), horizontally(x-axis)

dy/dt = -0.125 m/s (-ve since y decreasing )

dx/dt = +0.3 m/s (+ve, x increases)

and, x = 5 m

length of the ladder = k (a constant)

k^2 = x^2 + y^2

differentiating it wrt t,

0 = 2x dx/dt + 2y dy/dt

0 = 2(5)(0.3) + 2(y)(-0.125)

y = 12

which means, when the bottom of the ladder is 5m from the wall, the top of the ladder is 12m from the bottom.

thus, k^2 = 5^2 + 12^2

length of the ladder, k = 13 m
You might be interested in
A boat on a river travels downstream between 2 points 20 miles apart in 1 hour. It makes its return trip against the current and
Tamiku [17]

There are two unknown quantities that we have to find.  In order to work with them, we have to give them temporary names.  Lets call the speed of the boat ' B ', and lets call the speed of the current ' C ' .

-- "Downstream", the current is helping the boat.  The boat sails past the trees at a speed of (B + C).

(Distance) / (Speed) = Time

(20 miles) / (B + C) = 1 hour

Multiply each side by (B+C), then divide by 1 hr:  20 mi/1 hr = B + C

-- "Upstream" the boat is going against the current. It sails past the trees at a speed of (B - C).

(Distance) / (Speed) = Time

(20 miles) / (B - C) = 2.5 hours

Multiply each side by (B-C), then divide by 2.5 hr: 20 mi/2.5 hr = B - C

We're in good shape now. We have 2 equations in 2 unknowns:

<em>B + C = 20</em>

<em>B - C =  8</em>

Add the two equations, and you get 2B = 28. So B = 14 mph

Subtract the two equations and you get 2C = 12. So C = 6 mph

<em>The speed of the boat is 14 mph .</em>

<em>The speed of the current is 6 mph . </em>

4 0
4 years ago
Unlike other states of matter, what expand to fill their containers
padilas [110]

Answer:

gas

Explanation:

8 0
3 years ago
Read 2 more answers
A ball is thrown so that its speed increases by 20 m/s in 10 seconds. What is the ball’s acceleration?
sp2606 [1]

Answer: a= 2 m/s²

Explanation: acceleration = change of speed/ time = 20 m/s / 10 s

7 0
3 years ago
Looking for some help with the left side of the table and the questions followed :)
Inessa [10]

Answer:

(1). Going in the order: Gas, Liquid, Solid.

    Particle separation: Very large; large; small.

    Strength of forces between particles: very weak; weak; strong.

(2). a. The change of state is condensation.

     b. The density of the substance is increasing as particles move closer together.  

(3). a. The liquid's temperature decreases until it reaches solidification (freezing) point, and then the temperature will remain constant until all of the liquid has solidified.

     b. The particles move with less and less energy until they have low enough energy to come together and solidify, then they will release more energy when they come together to form bonds, and vibrate about their equilibrium positions once they are part of a  molecular bond.

Additional explanation:

(1). The particle separation in a gas is very large because the gas has a very low density, and since particles are not that close together,<em> the strength of forces between particles is very weak</em>.

The liquid is somewhat more denser than the gas and therefore the particle separation is large but less than that in a gas,<em> The strength of forces between particles is still weak but greater  than in a gas. </em>

Finally, particle separation in a solid is small because the solid is still more denser than the liquid, and the strength of forces between particles is strong because it's these forces that give a solid its rigid shape.

(2). a.The change of state of a substance in which particles slow down and move close together is called condensation.

    b. As the particles move close together, they are occupying less and less volume; therefore, the density is increasing.

(3). The explanation is already given in the answer.

6 0
4 years ago
A 50.0-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.300 and the
Dimas [21]

Answer:

98N and 147N

Explanation:

We have the following information:

m=50kg\\\mu_s =0.4\\\mu_k = 0.2\\F=140N

We can find the static fricton force as follow,

F=\mu_s * N

Where N is the normal force (mg)

F=0.3*50*9.8\\F=147N

Static friction force at 147N is greater than the force applied hence body does not move.

F=\mu_k N = 0.2*50*9.8= 98N

3 0
4 years ago
Other questions:
  • Average atomic must be
    5·2 answers
  • According to Binet, mental age relates to chronological age because ___________.
    8·1 answer
  • True or false: (a) the induced emf in a circuit is proportional to the magnetic flux through the circuit.
    15·1 answer
  • In Times Square in New York City, people celebrate on New Year's Eve. Some just stand around, but many move about randomly. Cons
    14·1 answer
  • If the work done by a battery to move a unit charge through the battery from one terminal to the other is doubled, what is the e
    10·1 answer
  • A sequence of star colors from hottest to coolest is
    14·2 answers
  • The unit for measuring electric power is the
    9·1 answer
  • Observe the given figure and find the the gravitational force between m1 and m2.​
    8·1 answer
  • A ball is thrown with a speed of 100 ft/s in a direction of 30 degrees above the horizontal. determine the horizontal distance i
    9·1 answer
  • What happens to the temperature of matter as distance is increased? Explain why.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!