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
Andreyy89
3 years ago
11

A spring is used to stop a 50-kg package which is moving down a 20º incline. The spring has a constant k = 30 kN/m and is held b

y cables so that it is initially compressed 50 mm. Knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.
Physics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

0.3 m

Explanation:

Initially, the package has both gravitational potential energy and kinetic energy.  The spring has elastic energy.  After the package is brought to rest, all the energy is stored in the spring.

Initial energy = final energy

mgh + ½ mv² + ½ kx₁² = ½ kx₂²

Given:

m = 50 kg

g = 9.8 m/s²

h = 8 sin 20º m

v = 2 m/s

k = 30000 N/m

x₁ = 0.05 m

(50)(9.8)(8 sin 20) + ½ (50)(2)² + ½ (30000)(0.05)² = ½ (30000)x₂²

x₂ ≈ 0.314 m

So the spring is compressed 0.314 m from it's natural length.  However, we're asked to find the additional deformation from the original 50mm.

x₂ − x₁

0.314 m − 0.05 m

0.264 m

Rounding to 1 sig-fig, the spring is compressed an additional 0.3 meters.

You might be interested in
A bungee jumper attains a speed of 30 m/s just as the bungee cord begins to stretch. If the period of stretch is 2 s while comin
Daniel [21]

Answer:

1.53 g

Explanation:

Given,

Initial speed = 30 m/s

Final speed = 0 m/s

Period of stretch, t = 2 s

average deceleration = ?

we know

a = \dfrac{v-u}{t}

a = \dfrac{0-30}{2}

a = -15 m/s²

Deceleration of the jumper = 15 m/s²

Deceleration in terms of g

= \dfrac{15}{9.81}

= 1.53\ g

Hence, the deceleration of the jumper is equal to 1.53 g

7 0
3 years ago
What type of wave has more energy, an ultraviolet wave or an x-ray?
muminat
As the wave length increases the energy of the wave decreases as the equation that relates the c=λυ λ is the wave length and υ is the frequency (which is directly proportional to the energy).
In the wave length spectrum, x-ray has a shorter wave length, meaning that x-ray has a higher energy than ultraviolet waves.

Hope this helps.

3 0
3 years ago
Rony fills a bucket with water and whirls it in a vertical circle to demonstrate that the water will not spill from the bucket a
Romashka-Z-Leto [24]

Answer:

0 N, 3.49 m/s

Explanation:

Draw a free body diagram for the bucket at the top of the swing.  There are two forces acting on the bucket: weight and tension, both downwards.

If we take the sum of the forces in the radial direction, where towards the center is positive:

∑F = ma

W + T = m v² / r

The higher the velocity that Rony swings the bucket, the more tension there will be.  The slowest he can swing it is when the tension is 0.

W = m v² / r

mg = m v² / r

g = v² / r

v = √(gr)

Given that r = 1.24 m:

v = √(9.8 m/s² × 1.24 m)

v = 3.49 m/s

8 0
3 years ago
Science cannot be used to answer questions about _____.
aksik [14]
Science cannot be used to answer questions about Moral judgements
8 0
3 years ago
Read 2 more answers
A school bus is moving at a constant velocity of 30 m/s, East. Which statement best describes the motion of the truck?
zzz [600]

Answer:

The car appears to be moving 30 km/hr in the opposite direction of the bus.

Explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • A long cylindrical rod of diameter 200 mm with thermal conductivity of 0.5 W/m⋅K experiences uniform volumetric heat generation
    15·1 answer
  • explain how a convection current is set up in water. The explanation has been started for you: When the heating element is switc
    5·2 answers
  • A 8.01-nC charge is located 1.87 m from a 4.50-nC point charge. (a) Find the magnitude of the electrostatic force that one charg
    6·1 answer
  • How much work must be done on a 24-kg shopping cart to increase its speed
    11·1 answer
  • You have to run 2.2 miles in track. How far is that in feet? There are 5280 feet in 1 mile
    7·1 answer
  • A Ferris Wheel, starting from rest, undergoes a constant angular acceleration of 0.033 rad/s2 to get to its final operating angu
    12·1 answer
  • A police car travels towards a stationary observer at a speed of 15m/s. the siren on the car emits a sound of frequency 250Hz. C
    9·1 answer
  • A wheel rotating with a constant angular acceleration turns through 19 revolutions during a 3 s time interval. Its angular veloc
    6·1 answer
  • Clinical psychologists are concerned with everyday problems of adjustment.<br> True<br> False
    6·1 answer
  • 3. Which of these will remain unchanged when a sound wave travels from the air to water?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!