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
katovenus [111]
2 years ago
13

An elevator cab and its load have a combined mass of 1200 kg. Find the tension in the supporting cable when the cab, originally

moving downward at 10 m/s, is brought to rest with constant acceleration in a distance of 35 m.
Physics
1 answer:
Nadya [2.5K]2 years ago
3 0

Answer:

10044 N

Explanation:

The acceleration of the cab is calculated using the equation of motion:

v^2 = u^2+2as

<em>v</em> is the final velocity = 0 m/s in this question, since it is brought to rest

<em>u</em> is the initial velocity = 10 m/s

<em>a</em> is the acceleration

<em>s</em> is the distance = 35 m

a = \dfrac{v^2-u^2}{2s} = \dfrac{(0 \text{ m/s})^2-(10 \text{ m/s})^2}{2\times (35\text{ m})} = -1.43\text{ m/s}^2

Since it accelerates downwards, its resultant acceleration is

a_R = g + a

<em>g</em> is the acceleration of gravity.

a_R = (9.8-1.43)\text{ m/s}^2 = 8.37\text{ m/s}^2

The tension in the cable is

T = ma_R = (1200\text{ kg})(8.37\text{ m/s}^2) = 10044 \text{ N}

You might be interested in
Select the appropriate units for each property of a wave.
IceJOKER [234]

Intensity: Decibels

Amplitude: Meters

Frequency: Hertz

<u>Explanation:</u>

The Wave is not visible to eyes and they can easily propagate through vacuum. the average power travelling at a given period of time in a space is the intensity. Decibels is the measure of intensity. it is measured in the decibel scale. The wave's strength and the intensity gives the amplitude of wave. It is measured using meters.

The wave's amplitude and the energy has a direct proportionality.  The number occurrence of wave cycles per second refers to the frequency of wave. it is measured in hertz. it is also measured as the number of cycles that occurs per second.

4 0
2 years ago
If a body travels half its total path in the last 1.50 s of its fall from rest, find the total time of its fall (in seconds).
svetoff [14.1K]

Answer:

time to fall is 3.914 seconds

Explanation:

given data

half distance time = 1.50 s

to find out

find the total time of its fall

solution

we consider here s is total distance

so equation of motion for distance

s = ut + 0.5 × at²   .........1

here s is distance and u is initial speed that is 0 and a is acceleration due to gravity = 9.8 and t is time

so for last 1.5 sec distance is 0.5 of its distance so equation will be

0.5 s = 0 + 0.5 × (9.8) × ( t - 1.5)²     ........................1

and

velocity will be

v = u + at

so velocity v = 0+ 9.8(t-1.5)    ..................2

so first we find time

0.5 × (9.8) × ( t - 1.5)² = 9.8(t-1.5)  + 0.5 ( 9.8)

solve and we get t

t = 3.37 s

so time to fall is 3.914 seconds

6 0
3 years ago
A physics major is cooking breakfast when he notices that the frictional force between the steel spatula and the Oiled Steel fry
Alinara [238K]

Answer:

N  = 6.67 N

Explanation:

The frictional or frictional force is a force that arises from the contact of two bodies and opposes movement.

The friction is due to imperfections and roughness, mainly microscopic, that exist on the surfaces of the bodies. Upon contact, these roughnesses engage with each other making movement difficult. To minimize the effect of friction, either the surfaces are polished or lubricated, since the oil fills the imperfections, preventing them from snagging.

As the frictional force depends on the materials and the force exerted on one another, its magnitude is obtained by the following expression:

f = μ*N    Formula (1)

where:  

f is the friction force  (N)

μ is the coefficient of friction

N is the normal force (N)

Data

f = 0.2 N : frictional force between the steel spatula and the Oiled Steel frying pan

μ = 0.03 :coefficient of kinetic friction between the two materials

Calculating of normal force

We replace data in the formula (1)

f = μ*N  

0.2  = 0.03*N  

N  = 0.2 / 0.03

N  = 6.67 N

5 0
3 years ago
A cyclist travels 1850 m north and then 1200 m south. Find both the distance it has traveled and the magnitude of its displaceme
finlep [7]

Answer:

The distance it has traveled is 3,050 m and the magnitude of its displacement is 650 m north.

Explanation:

Distance refers to the length between any two points in space, while displacement refers to the distance from a start position to an end position regardless of the path.

In other words, distance refers to how much space an object travels during its movement; is the quantity moved. It is also said to be the sum of the distances traveled. The distance traveled by a mobile is the length of its trajectory and it is a scalar quantity. In this case, the distance is calculated as:

1850 m + 1200 m= 3,050 m

Displacement refers to the distance and direction of the final position from the initial position of an object. The displacement effected is a vector quantity. The vector representing the displacement has its origin in the initial position, its end in the final position, and its module is the distance in a straight line between the initial and final positions. That is, when expressing the displacement it is done in terms of the magnitude with its respective unit of measurement and the direction because the displacement is a vector type quantity. Mathematically, the displacement (Δd) is calculated as:

Δd= df - di

where df is the final position and di is the initial position of the object.

In this case, the displacement is calculated as:

1850 m - 1200 m= 650 m

Since the distance to the north is greater, the direction of travel will be to the north.

<u><em>The distance it has traveled is 3,050 m and the magnitude of its displacement is 650 m north.</em></u>

6 0
2 years ago
What are some of the forces that are found in skateboarding?
Dominik [7]
Normal force, friction force, gravitational force
7 0
3 years ago
Other questions:
  • PLZ HELP!!!!!!!
    9·2 answers
  • A(n) 7.7-kg object is sliding across the ice at 2.34 m/s in the positive x direction. An internal explosion occurs, splitting th
    14·1 answer
  • PLEASE ANSWER QUICK!!! 2. Every magnet has _ unlike poles.
    7·1 answer
  • Denise is riding her bike and falls to the ground. During the collision, she hits both grass and cement.
    5·1 answer
  • Is the the last half of the month waxing or waning( talking about moon phases
    14·1 answer
  • Please help me with this question...
    15·2 answers
  • what is the result of 6.2×10 to the fourth power times 3.3×10 to the second power express in scientific notation
    14·1 answer
  • Suppose that she pushes on the sphere tangent to its surface with a steady force of F = 60 N and that the pressured water provid
    10·1 answer
  • A 2.80 kg mass is dropped from a
    12·2 answers
  • Can someone help me here. If the speed of an object does NOT change, the object is traveling at __________ speed.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!