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
Anastasy [175]
2 years ago
8

PLEASE HELP ME 45 POINTS

Physics
1 answer:
sergij07 [2.7K]2 years ago
8 0

Answer:

a) We kindly invite you to see the explanation and the image attached below.

b) The acceleration of the masses is 4.203 meters per square second.

c) The tension force in the cord is 28.02 newtons.

d) The system will take approximately 0.845 seconds to cover a distance of 1.5 meters.

e) The final speed of the system is 3.551 meters per second.

Explanation:

a) At first we assume that pulley and cord are both ideal, that is, masses are negligible and include the free body diagrams of each mass and the pulley in the image attached below.

b) Both masses are connected to each other by the same cord, the direction of acceleration will be dominated by the mass of greater mass (mass A) and both masses have the same magnitude of acceleration. By the 2nd Newton's Law, we create the following equation of equilibrium:

Mass A

\Sigma F = T - m_{A}\cdot g = -m_{A}\cdot a (1)

Mass B

\Sigma F = T - m_{B}\cdot g = m_{B}\cdot a (2)

Where:

T - Tension force in the cord, measured in newtons.

m_{A}, m_{B} - Masses of blocks A and B, measured in kilograms.

g - Gravitational acceleration, measured in meters per square second.

a - Net acceleration of the each block, measured in meters per square second.

By subtracting (2) by (1), we get an expression for the acceleration of each mass:

m_{B}\cdot a +m_{A}\cdot a = T-m_{B}\cdot g -T + m_{A}\cdot g

(m_{B}+m_{A})\cdot a = (m_{A}-m_{B})\cdot g

a = \frac{m_{A}-m_{B}}{m_{B}+m_{A}} \cdot g

If we know that m_{A} = 5\,kg, m_{B} = 2\,kg and g = 9.807\,\frac{m}{s^{2}}, then the acceleration of the masses is:

a = \left(\frac{5\,kg-2\,kg}{5\,kg+2\,kg}\right) \cdot\left(9.807\,\frac{m}{s^{2}} \right)

a = 4.203\,\frac{m}{s^{2}}

The acceleration of the masses is 4.203 meters per square second.

c) From (2) we get the following expression for the tension force in the cord:

T = m_{B}\cdot (a+g)

If we know that m_{B} = 2\,kg, g = 9.807\,\frac{m}{s^{2}} and a = 4.203\,\frac{m}{s^{2}}, then the tension force in the cord:

T = (2\,kg)\cdot \left(4.203\,\frac{m}{s^{2}}+9.807\,\frac{m}{s^{2}}  \right)

T = 28.02\,N

The tension force in the cord is 28.02 newtons.

d) Given that system starts from rest and net acceleration is constant, we determine the time taken by the block to cover a distance of 1.5 meters through the following kinematic formula:

\Delta y  = \frac{1}{2}\cdot a\cdot t^{2} (3)

Where:

a - Net acceleration, measured in meters per square second.

t - Time, measured in seconds.

\Delta y - Covered distance, measured in meters.

If we know that a = 4.203\,\frac{m}{s^{2}} and \Delta y = 1.5\,m, then the time taken by the system is:

t = \sqrt{\frac{2\cdot \Delta y}{a} }

t = \sqrt{\frac{2\cdot (1.5\,m)}{4.203\,\frac{m}{s^{2}} } }

t \approx 0.845\,s

The system will take approximately 0.845 seconds to cover a distance of 1.5 meters.

e) The final speed of the system is calculated by the following formula:

v = a\cdot t (4)

Where v is the final speed of the system, measured in meters per second.

If we know that a = 4.203\,\frac{m}{s^{2}} and t \approx 0.845\,s, then the final speed of the system is:

v = \left(4.203\,\frac{m}{s^{2}} \right)\cdot (0.845\,s)

v = 3.551\,\frac{m}{s}

The final speed of the system is 3.551 meters per second.

You might be interested in
A block of mass 2 kg slides down ramp 1 with a height of 3 m. It then slides for 1 m on a surface with a kinetic coefficient of
Lady bird [3.3K]

Answer:

PE = 58.8,J

Explanation:

The potential energy at the top of ramp1 can be found by the application of the formula PE = mgh

Where PE =potential energy

m = mass of block = 2kg

g = acceleration due to gravity = 9.80m/s²

h = height of the top of the ramp from its bottom where the block is initially positioned = 3m

PE = 2×9.8×3 = 58.8J

3 0
3 years ago
With what new station is NASA going to support future Moon
Alex777 [14]

Answer:

c

Explanation:

3 0
3 years ago
4. Look at the graph above. What information is on the graph and what does it mean? Please help!!!
Aliun [14]

Answer:

CO2 increases in the winter

Explanation:

6 0
3 years ago
Which combination of a wire coil and a core would make the weakest
Ilya [14]

Answer: B

Explanation:

7 0
3 years ago
Read 2 more answers
In which part of the wave are the particles of the medium closer together?
Lesechka [4]
B.) Compressions 
HOPPE IT HELPED
6 0
3 years ago
Read 2 more answers
Other questions:
  • How is velocity different from speed? Velocity is based on distance. Velocity includes direction. Velocity can be an average or
    13·2 answers
  • assuming that there are no outside forces, what will happen if two neutral atoms are placed 1 M apart in a vacuum. a)the atoms w
    13·1 answer
  • If you go to the beach on a hot summer day, the temperature of the sand is much higher than the temperature of the water. If we
    11·2 answers
  • Two vectors A and B are directed such that there is an angle θ between them. show answer Incorrect Answer Which of the following
    15·1 answer
  • Which process is used to make low cost energy by nuclear power plant​
    13·1 answer
  • A(n)___ forms where light seems to come from.
    8·2 answers
  • I really need help !!
    11·1 answer
  • A car which is traveling at a velocity of 1.6 m/s undergoes an acceleration of 9.2 m/s over a distance of 540 m. How fast is it
    5·1 answer
  • Please only answer if you are positive. Thanks! Brainliest if correct!
    5·2 answers
  • It is possible for an object in free fall to be moving:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!