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
True [87]
3 years ago
5

The density of ice is 917 kg/m^3, and the density of sea water is 1025 kg/m^3. A swimming polar bear climbs onto a piece of floa

ting ice that has a volume of 6.78 m^3. What is the weight of the heaviest bear that the ice can support without sinking completely beneath the water?
Physics
1 answer:
tresset_1 [31]3 years ago
8 0

Answer:

w_bear = 7175.95 N ,   m = 732.24 kg

Explanation:

Let's analyze the situation a bit, the ice block is in equilibrium with the thrust given by Archimedes' law that is directed towards the bottom, the weight of the ice and the weight of the bear.

           B -W_ice - w_bear = 0

           w_bear = B - W_ice

The thrust is given by

           B = ρ g V

           B = 1025 9.8 6.78

           B = 68 105.1 N

Note that we use the total volume of the block since the problem indicates that it is submerged.

The weight of the ice is

           W_ice = m g

     

the density is

          ρ_ice = m_ice / V

          m_ice = rho_ice V

we substitute

          W_ice = ρ_ice g V

           W_ice = 917 9.8 6.78

           W_ice = 60929.15 N

we substitute in the first equation

             w_bear = 68105.1 - 60929.15

              w_bear = 7175.95 N

the mass of this bear is

               w_bear = m g

               m = w_bear / g

               m = 7175.95 / 9.8

               m = 732.24 kg

You might be interested in
You drive a car 2.0 h at 40 km/h, then 2.0 h at 80 km/h. (a) What is your average velocity? km/h (b) Do you get the same answer
REY [17]

Answer:

a)(2×40+2×80)/(2+2)=240/4=60

b)(240)/(120/40+120/80)=240/(3+1.5)

240/4.5=53.33333

no

3 0
4 years ago
A magnetic field is formed when electric charges move. When the electric charges stop moving, the magnetic field (which was form
Natali5045456 [20]

True

Explanation:

when electrons stop.moving it cause a stoppage

in formation of magnetic field

i hope.it helps u

7 0
3 years ago
Kate is working on a project in her tech education class. She plans to assemble a fan motor. Which form of energy does the motor
andreyandreev [35.5K]

Motion Energy

I am writing this so it can be more than 20 letters

7 0
4 years ago
Caused by the tilting of the Earth s axis
beks73 [17]

Answer:

Seasons changing

Explanation:

6 0
3 years ago
Three crates with various contents are pulled by a force Fpull=3615 N across a horizontal, frictionless roller‑conveyor system.
SIZIF [17.4K]

The question is incomplete. Here is the complete question.

Three crtaes with various contents are pulled by a force Fpull=3615N across a horizontal, frictionless roller-conveyor system.The group pf boxes accelerates at 1.516m/s2 to the right. Between each adjacent pair of boxes is a force meter that measures the magnitude of the tension in the connecting rope. Between the box of mass m1 and the box of mass m2, the force meter reads F12=1387N. Between the box of mass m2 and box of mass m3, the force meter reads F23=2304N. Assume that the ropes and force meters are massless.

(a) What is the total mass of the three boxes?

(b) What is the mass of each box?

Answer: (a) Total mass = 2384.5kg;

               (b) m1 = 915kg;

                   m2 = 605kg;

                   m3 = 864.5kg;

Explanation: The image of the boxes is described in the picture below.

(a) The system is moving at a constant acceleration and with a force Fpull. Using Newton's 2nd Law:

F_{pull}=m_{T}.a

m_{T}=\frac{F_{pull}}{a}

m_{T}=\frac{3615}{1.516}

m_{T}=2384.5

Total mass of the system of boxes is 2384.5kg.

(b) For each mass, analyse each box and make them each a free-body diagram.

<u>For </u>m_{1}<u>:</u>

The only force acting On the m_{1} box is force of tension between 1 and 2 and as all the system is moving at a same acceleration.

m_{1} = \frac{F_{12}}{a}

m_{1} = \frac{1387}{1.516}

m_{1} = 915kg

<u>For </u>m_{2}<u>:</u>

There are two forces acting on m_{2}: tension caused by box 1 and tension caused by box 3. Positive referential is to the right (because it's the movement's direction), so force caused by 1 is opposing force caused by 3:

m_{2} = \frac{F_{23}-F_{12}}{a}

m_{2} = \frac{2304-1387}{1.516}

m_{2} = 605kg

<u>For </u>m_{3}<u>:</u>

m_{3} = m_{T} - (m_{1}+m_{2})

m_{3} = 2384.5-1520.0

m_{3} = 864.5kg

8 0
3 years ago
Other questions:
  • A rectangular aluminum bar (~1.52.1 cm in cross section) and a circular steel rod (~1 cm in radius) are each subjected to an axi
    8·1 answer
  • A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0 n. what is the young's modul
    9·1 answer
  • What would happen if the sun were to become a blackhole
    5·1 answer
  • Bart walked at 8km/h for 25 km, how long did his walk take him to complete?
    6·1 answer
  • A person is standing in an elevator that is moving downward and slowing down. Is the magnitude of the normal force on the person
    12·1 answer
  • Two speakers emit sound waves with frequency 4.55 kHz. They are driven by the same oscillator so that they are in phase with eac
    5·1 answer
  • Two resistors are to be combined to form an equivalent resistance of 1000 Ω. The resistors are taken from available stock on han
    10·1 answer
  • 3) In the numbers: 0, 1, 2, 3, 4, 5; which number will you read properly<br> in mirror? Explain
    6·1 answer
  • After a recent snow storm, you decide to sled down a hill in Fairmount Park. You take a running start and hit the slope with an
    14·1 answer
  • How big is earth<br>today​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!