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
iren2701 [21]
3 years ago
6

A block of mass M1 = 288.0 kg sits on an inclined plane and is connected to a bucket with a massless string over a massless and

frictionless pulley. The coefficient of static friction between the block and the plane is μs = 0.41, and the angle between the plane and the horizontal is θ = 41°. Mass M2 can be changed by adding or taking away sand from the bucket. What is the maximum value of M2 for which the system will remain at rest?

Physics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

M2 = 278.06 kg

Explanation:

We calculate the weight of M1

W=m*g

Where

m: mass (kg)

g: acceleration due to gravity (m/s²)

W₁=288* 9.8= 2822.4 N

Look at the attached graphic

We calculate the x-y components of the weight :

W₁x= 2822.4*sin41° N =1851.66 N

W₁y= 2822.4 *cos41° N = 2130.09 N

We apply Newton's first law for the balance in M1:

Σ Fy=0

Fn-W₁y=0  ,   Fn: normal force

Fn=W₁y=2130.09N

Friction Force = Ff=μs *Fn = 0.41*2130.09 =873.34 N

Σ Fx=0

T- W₁x- Ff=0

T= 1851.66 + 873.34

T= 1851.66 + 873.34

T=2725 N

We apply Newton's first law for the balance in M2:

Σ Fy=0

T- W₂ =0

W₂ = T = 2725 N

W₂ = M2*g

M2 = W₂/g

M2 = 2725/9.8

M2 = 278.06 kg

You might be interested in
Can some answer 7 a and b please
pav-90 [236]

Answer:

a.After 15 second Mr Comer's speed =  1.7 m/s

b.Distance travelled by Mr.Comer in 15 seconds  =   18.75\ m

Explanation:

a. Lets recall our first equation of motion V_{f} =V_{i} + at

Now we know that V_{i} = 0.8m/s , a = 0.06\ m/s^2 and

t = 15 \ sec

Plugging the values we have.

V_{f} =V_{i} + at

V_{f} =0.8 + 0.06 \times 15

V_{f} =0.8+ 0.9

V_{f} =1.7 m/s

Then Mr.Comer's speed after 15 sec = 1.7ms^-1

b.

Lets find the distance and recall our third equation of motion.

V_{f} ^2-V{i}^2 = 2as

So s = distance covered.

Dividing both sides with 2a we have.

\frac{V_{f} ^2-V{i}^2}{2a} = 2as

Plugging the values.

\frac{(1.7)^2-(0.8)^2}{2\times0.06} = 2as

s= 18.75\ m

So Mr.Comer will travel a distance of s= 18.75\ m.

4 0
4 years ago
Which of the following is not a vector quantity?
maksim [4K]

Answer:

A. Speed

Explanation:

A vector quantity is a quantity which has both magnitude and direction. Here in the given options, speed is a scalar quantity but not the vector quantity.

7 0
3 years ago
The earth has a vertical electric field at the surface, pointing down, that averages 100 N/C. This field is maintained by variou
zlopas [31]

Answer:

q = 3.6 10⁵  C

Explanation:

To solve this exercise, let's use one of the consequences of Gauss's law, that all the charge on a body can be considered at its center, therefore we calculate the electric field on the surface of a sphere with the radius of the Earth

          r = 6 , 37 106 m

          E = k q / r²

          q = E r² / k

          q = \frac{100 \ (6.37 \ 10^6)^2}{9 \ 10^9}

          q = 4.5 10⁵ C

Now let's calculate the charge on the planet with E = 222 N / c and radius

           r = 0.6 r_ Earth

           r = 0.6 6.37 10⁶ = 3.822 10⁶ m

           E = k q / r²

            q = E r² / k

            q = \frac{222 (3.822 \ 10^6)^2}{ 9 \ 10^9}

            q = 3.6 10⁵  C

4 0
3 years ago
Air pressure is _____.
fgiga [73]

Air pressure is the weight of air on an area.  The weight of air
is due to the gravitational forces between the Earth and the
molecules of its atmosphere.

5 0
4 years ago
Read 2 more answers
Describe how cool and warm air move in the atmosphere.
Anna [14]

Answer:

it is cool and warm

Explanation:

5 0
4 years ago
Other questions:
  • A stone is thrown from a cliff and lands in the sea. Air resistance is negligible. Which statement is correct whilst the stone i
    14·1 answer
  • Modern masonry fireplaces are based on designs first developed _____.
    5·1 answer
  • Kenna has a mass of 30 kilograms. What's her weight in newtons? Assume that acceleration due to gravity is 9.8 N/kg.
    7·1 answer
  • Consider the interference/diffraction pattern from a double-slit arrangement of slit separation d = 6.60 um and slit width a. Th
    5·1 answer
  • What is not a similarity between mars and earth today?
    15·1 answer
  • Which statement explains what happens to older crust during seafloor spreading?
    11·1 answer
  • Which of the following best describes chemical weathering?
    10·2 answers
  • Help????????????????
    8·1 answer
  • PLEASE HELP I WILL GUVE BRAINLY
    14·1 answer
  • Will a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a re
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!