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
Lilit [14]
3 years ago
12

A block weighting 400kg rests on a horizontal surface and support on top of it another block of weight 100kg placed on the top o

f it as shown. The block w2 is attached to avertical wall by a string 6m long. If the coefficient of friction between all surface is 0.25 and the system is in equilibrium find the magnitude of the horizontal force applied to the lower block

Physics
1 answer:
masha68 [24]3 years ago
3 0

The horizontal force applied to the block is approximately 1,420.84 N

The known parameters;

The mass of the block, w₁ = 400 kg

The orientation of the surface on which the block rest, w₁ = Horizontal

The mass of the block placed on top of the 400 kg block, w₂ = 100 kg

The length of the string to which the block w₂ is attached, l = 6 m

The coefficient of friction between the surface, μ = 0.25

The state of the system of blocks and applied force = Equilibrium

Strategy;

Calculate the forces acting on the blocks and string

The weight of the block, W₁ = 400 kg × 9.81 m/s² = 3,924 N

The weight of the block, W₂ = 100 kg × 9.81 m/s² = 981 N

Let <em>T</em> represent the tension in the string

The upward force from the string = T × sin(θ)

sin(θ) = √(6² - 5²)/6

Therefore;

The upward force from the string = T×√(6² - 5²)/6

The frictional force = (W₂ - The upward force from the string) × μ

The frictional force, F_{f2} = (981 - T×√(6² - 5²)/6) × 0.25

The tension in the string, T = F_{f2} × cos(θ)

∴ T = (981 - T×√(6² - 5²)/6) × 0.25 × 5/6

Solving, we get;

T = \dfrac{5886}{\sqrt{6^2 - 5^2} + 28.8} \approx 183.27

Frictional \ force, F_{f2} = \left (981 -  \dfrac{5886}{\sqrt{6^2 - 5^2} + 28.8}  \times \dfrac{\sqrt{6^2 - 5^2} }{6} \times  0.25 \right) \approx 219.92

The frictional force on the block W₂, F_{f2} ≈ 219.92 N

Therefore;

The force acting the block w₁, due to w₂ F_{w2} = 219.92/0.25 ≈ 879.68

The total normal force acting on the ground, N = W₁ + \mathbf{F_{w2}}

The frictional force from the ground, \mathbf{F_{f1}} = N×μ + \mathbf{F_{f2}} = P

Where;

P = The horizontal force applied to the block

P = (W₁ + \mathbf{F_{w2}}) × μ + \mathbf{F_{f2}}

Therefore;

P = (3,924 + 879.68) × 0.25 + 219.92 ≈ 1,420.84

The horizontal force applied to the block, P ≈ 1,420.84 N

Learn more about friction force here;

brainly.com/question/18038995

You might be interested in
Overcoming an object inertia always requires an
Zinaida [17]
Opposite force in the opposite.
3 0
3 years ago
How many electrons are in the outer energy level of an atom of carbon
xz_007 [3.2K]

Answer:

4 electrons

Explanation:

Carbon, is the group 14 element, with four electrons in its outer shell. Carbon always shares electrons to reach a complete valence shell, making bonds with other atoms.

8 0
3 years ago
Num determinado equipamento industrial, um líquido de calor específico 0,50 cal/g.°C, entra a 20 °C e sai a 80 °C. Se a vazão de
balu736 [363]

Answer:

Tonta nadie sabe eso

Explanation:

4 0
3 years ago
Can someone please solve this
Svetllana [295]

Answer: i can see properly

Explanation:

7 0
2 years ago
A skier accelerates down the hill at 3m/s2 how fast is he going in 4 seconds​
almond37 [142]

Answer:

Explanation: simple kinematics

we suppose that initially vo= 0 so if the skier moves 4s :

vf = vo +at = 0 + 3*4 = 12 m/s

best wishes from colombia

7 0
3 years ago
Other questions:
  • What represents the third dimension in a topographic map and shows elevation?
    12·2 answers
  • What do significant figures in a measurement include___________________________________.
    7·1 answer
  • Jill pulls on a rope to lift a 12 kg pail out of a well, while the clumsy Jack watches. For a 10.0 meter segment of the lift, sh
    14·1 answer
  • What is the average weight of a fully-grown heart?
    5·1 answer
  • 8. A solid wooden door, 90 cm wide by 2.0 m tall, has a mass of 35 kg. It is open and at rest. A small 500-g ball is thrown perp
    6·1 answer
  • A 75.0 kg stunt man jumps from a balcony and falls 24.0
    10·1 answer
  • True or false question scientists can predict when an earthquake will occur
    7·1 answer
  • PLS HURRY AND ANSWER THIS IM GIVING 100 POINTS AND ILL MARK BRAINLIEST
    9·1 answer
  • What is the work required to raise a 20 Newton box from the surface of the earth to a height of 6 meters?
    11·1 answer
  • To measure the current through and the voltage across a resistor in a circuit, you should place the ammeter in _____ with the re
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!