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
igomit [66]
2 years ago
10

A block of 250-mm length and 54 × 40-mm cross section is to support a centric compressive load P. The material to be used is a b

ronze for which E = 95 GPa. Determine the largest load that can be applied, knowing that the normal stress must not exceed 80 MPa and that the decrease in length of the block should be at most 0.12% of its original length.
Physics
1 answer:
musickatia [10]2 years ago
7 0

Answer:

P = 17.28*10⁶ N

Explanation:

Given

L = 250 mm = 0.25 m

a = 0.54 m

b = 0.40 m

E = 95 GPa = 95*10⁹ Pa

σmax = 80 MPa = 80*10⁶ Pa

ΔL = 0.12%*L = 0.0012*0.25 m = 3*10⁻⁴ m

We get A as follows:

A = a*b = (0.54 m)*(0.40 m) = 0.216 m²

then, we apply the formula

ΔL = P*L/(A*E)  ⇒ P = ΔL*A*E/L

⇒  P = (3*10⁻⁴ m)*(0.216 m²)*(95*10⁹ Pa)/(0.25 m)

⇒  P = 24624000  N = 24.624*10⁶ N

Now we can use the equation

σ = P/A

⇒  σ = (24624000  N)/(0.216 m²) = 114000000 Pa = 114 MPa > 80 MPa

So σ > σmax  we use σmax

⇒  P = σmax*A = (80*10⁶ Pa)*(0.216 m²) = 17280000 N = 17.28*10⁶ N

You might be interested in
An ice skater spins at 2.5 rev/s when his arms are extended. He draws his arms in and spins at 10.0 rev/s. By what factor does h
Rainbow [258]

Answer:

The moment of inertia decreased by a factor of 4

Explanation:

Given;

initial angular velocity of the ice skater, ω₁ = 2.5 rev/s

final angular velocity of the  ice skater, ω₂ = 10.0 rev/s

During this process we assume that angular momentum is conserved;

I₁ω₁ = I₂ω₂

Where;

I₁ is the initial moment of inertia

I₂ is the final moment of inertia

I_2 = \frac{I_1 \omega_1}{\omega_2} = \frac{I_1*2.5}{10} \\\\I_2 = 0.25I_1 = \frac{1}{4}I_1

Therefore, the moment of inertia decreased by a factor of 4

4 0
2 years ago
Suppose that the velocity (in meters per second) of a sky diver falling near the Earth's surface is given by the following expon
Mice21 [21]

Answer:

4.7 s

Explanation:

The complete question is presented in the attached image to this solution.

v(t) = 61 - 61e⁻⁰•²⁶ᵗ

At what time will v(t) = 43 m/s?

We just substitute 43 m/s into the equation for the velocity of the diver and solve for t.

43 = 61 - 61e⁻⁰•²⁶ᵗ

- 61e⁻⁰•²⁶ᵗ = 43 - 61 = -18

e⁻⁰•²⁶ᵗ = (18/61) = 0.2951

In e⁻⁰•²⁶ᵗ = In 0.2951 = -1.2205

-0.26t = -1.2205

t = (1.2205/0.26) = 4.694 s = 4.7 s to the nearest tenth.

Hope this Helps!!!

6 0
2 years ago
A young man walks daily through a gridded city section to visit his girlfriend, who lives m blocks East and nblocks North of whe
Arada [10]

Answer:

The man ate eggs.

Explanation:

He should brush his teeth before seeing his girlfriend.

4 0
3 years ago
Current is directly proportional to resistance.<br> a. True<br> b. False
ikadub [295]

IF voltage remains constant, then current is
inversely proportional to resistance.

The correct response is "b).", signifying "false" as the choice.

4 0
3 years ago
Three rocks with masses of 1 kg, 5 kg, and 10 kg fall from the same height.
Naily [24]
Answer:
The 10 kg rock has more inertia than the other two rocks.


Explanation
4 0
2 years ago
Read 2 more answers
Other questions:
  • A heat engine accepts 200,000 Btu of heat from a source at 1500 R and rejects 100,000 Btu of heat to a sink at 600 R. Calculate
    13·1 answer
  • The site of protein synthesis is
    5·1 answer
  • The amount of work done against friction to slide a box in a straight line across a uniform, horizontal floor depends most on th
    14·2 answers
  • The magnetic field in the region between the poles of an electromagnet is uniform at any time, but is increasing at the rate of
    13·1 answer
  • two thermometers, calibrated in celsius and fahrenheit respectively, are put into a liquid. the reading on the fahrenheit scale
    10·1 answer
  • a toboggan loaded with vacationing students (total weight 1300 N) slides down a slope at 30 degrees and there is no friction. wh
    5·1 answer
  • The peak luminosity of a white dwarf supernova is around 1010 Lsun, and it remains brighter than 108 Lsun for about 150 days. In
    5·1 answer
  • A boy and a girl are riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the gir
    12·1 answer
  • planets A &amp; B are near each other but there is a large difference in their temperatures using the data in the table explain
    12·1 answer
  • Would this be C ?? Please tell me if I’m wrong ..
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!