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
Debora [2.8K]
3 years ago
8

You and a friend each carry a 15 kg suitcase up two flights of stairs, walking at a constant speed. Take each suitcase to be the

system. Suppose you carry your suitcase up the stairs in 30 s while your friend takes the 60s.
Which of the following is true?
a. You did more work, but both of you expended the same power.
b. You did more work and expended more power.
c. Both of you did the same work, but you expended more power.
d. Both of you did the same work, but you expended less power.

Physics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

Both of you did the same work but you expended more power.

Explanation:              

<em>Work done</em> by an object is calculated by force applied multiplied by the distance.

  W=F*d

From the figure given below let us calculate force applied bith you and yopur friend.

Let us take the stairs in positive x direction,

Work done by you W₁ ,

The force applied Fₓ = F - mgsinθ =maₓ

here aₓ = 0, because both of you move with constant speed

F - mgsinθ = 0

F=  mgsinθ

The work done by you on the suitcase is

W = F L cos0°  ,    where L is he length of the staircase.

W = FL = mgsinθL ,  by substituting value of F

Work done by you is W₁ = mgLsinθ

Similarly work done by your friend is W₂ = mgLsinθ.

Because both of you carry suitcase of same weight and in staircase is in same angle the force applied is same .

Therefore <em>work done by both of you is same</em> . Both of you did equal work.

The power , is defined as amount of energy converted or transfered per second or rate at which work is done .

P =\frac{W}{t} =\frac{FL}{t}

Power spend by you P₁ = mgLsinθ/t

P₁ = 15*9.8*Lsinθ/30

P₁ = 4.9L sinθ  eqn 1

Power spend by your friend is P₂ = mgLsinθ/t

P₂ =15*9.8*Lsinθ/60

P₂ = 2.45Lsinθ    eqn 2

Dividing eqn 1 and eqn 2

P₁ = 2P₂

You have spend more power than your friend .

Hence Both of you did equal work but you spend more power.

You might be interested in
Conversion of the sun’s energy from fossil fuels into electricity does not involve:
IgorC [24]
B. wind. 

Sun (solar) --> plants (photosynthesis) --> cola (chemical) --> heat (combustion) --> steam --> turbine (kinetic) --> generator (electric)

There is no wind. 
3 0
3 years ago
1. A jogger jogs 25 m East, stops to rest, then continues for 10 more meters
Komok [63]

Answer:

35m

Explanation:

25m + 10m = 35m east.

*(adding since it's in the same direction)

8 0
3 years ago
_____ can alter wind flow and create a rain shadow effect. Beaches Lakes Mountains Oceans
Ket [755]
The correct answer is Mountains. Mountains can alter wind flow and create a rain shadow effect. A mountain is a large landform and is high surrounding a limited area. It is generally steeper and higher than a hill.
5 0
3 years ago
Read 2 more answers
An engine draws energy from a hot reservoir with a temperature of 1250 K and exhausts energy into a cold reservoir with a temper
dimulka [17.4K]

Answer:

The power output of this engine is  P =  17.5 W

The  the maximum (Carnot) efficiency is  \eta_c  = 0.7424

The  actual efficiency of this engine is  \eta _a  = 0.46

Explanation:

From the question we are told that

    The temperature of the hot reservoir is  T_h = 1250 \ K

      The temperature of the cold reservoir  is  T_c  =  322 \ K

     The energy absorbed from the hot reservoir is E_h  = 1.37 *10^{5} \ J

       The energy exhausts into  cold reservoir is  E_c  = 7.4 *10^{4} J

The power output is mathematically represented as

      P  =  \frac{W}{t}

Where t is the time taken which we will assume to be 1 hour =  3600 s  

W is the workdone which is mathematically represented as

      W =  E_h  -E_c

substituting values

       W = 63000 J

So

    P =  \frac{63000}{3600}

    P =  17.5 W

The Carnot efficiency is mathematically represented as

          \eta_c  =  1 - \frac{T_c}{T_h}

         \eta_c  =  1 - \frac{322}{1250}

         \eta_c  = 0.7424

The actual efficiency is mathematically represented as

        \eta _a  =   \frac{W}{E_h}

substituting values

         \eta _a  =  \frac{63000}{1.37*10^{5}}

         \eta _a  = 0.46

     

7 0
3 years ago
Someone please help with this
SSSSS [86.1K]

Answer:

<em>The new force is 2/3 of the original force</em>

Explanation:

<u>Coulomb's Law </u>

The electrical force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between the two objects.

Written as a formula:

\displaystyle F=k\frac{q_1q_2}{d^2}

Where:

k=9\cdot 10^9\ N.m^2/c^2

q1, q2 = the objects' charge

d= The distance between the objects

Suppose the first charge is doubled (2q1) and the second charge is one-third of the original charge (q2/3). Now the force is:

\displaystyle F'=k\frac{2q_1*q_2/3}{d^2}

Factoring out 2/3:

\displaystyle F'=\frac{2}{3}k\frac{q_1*q_2}{d^2}

Substituting the original force:

F'=\frac{2}{3}F

The new force is 2/3 of the original force

7 0
3 years ago
Other questions:
  • Are my answers correct?
    7·1 answer
  • If the mass of the egg is 60 grams (0.06 Kg), and the mass of your device is 0.5 Kg, calculate the Force of Gravity on your devi
    9·1 answer
  • A ball is thrown horizontally from the top of a 60.0m and lands 100.0m from the base of the building ignore air resistance.(a) h
    10·1 answer
  • A 1500 kg car originally moving at 10 m/s crashes into a wall and comes to rest in 0.25 s. What is the magnitude of the impulse
    7·1 answer
  • How much work is done in lifting a 300 Newton rock 10 meters off the ground?
    13·1 answer
  • An object slides along a curved track of negligible friction, as shown in the figure. The potential energy U of the object as a
    10·1 answer
  • Two motorcycles are traveling due east with different velocities. However, 5.68 seconds later, they have the same velocity. Duri
    9·1 answer
  • 13. A ball is dropped. According to Newton's Third Law, the action force is the
    10·1 answer
  • Which statement about the photoelectric effect is true?
    12·1 answer
  • What classification level is more general than order and more specific than phylum?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!