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
AfilCa [17]
3 years ago
14

The 3.0 kg object below is released from rest at a height of 5.0 m on a curved frictionless ramp. At the foot of the ramp is a s

pring of force constant k = 500 N/m. The object slides down the ramp and into the spring, compressing it a distance x before coming momentarily to rest. a) Find x. b) what happens to the object after it comes to rest?
Physics
1 answer:
scoray [572]3 years ago
7 0

Answer:

a) The compressing distance is 0.8 m.

b) After the object comes to rest, it will be released with an initial speed of 7.1 m/s and will reach a height of 5.0 m.

Explanation:

Hi there!

a)Initially, the object has only gravitational potential energy that is calculated as follows:

PE = m· g · h

Where:

PE = potential energy.

m = mass.

g = acceleration due to gravity.

h = height.

Then:

PE = 3.0 kg · 9.8 m/s² · 5.0 m = 1.5 × 10² J

When the object reaches the spring and compresses it, all that potential energy is converted into elastic potential energy (there is no energy dissipation as heat because there is no friction). The elastic potential energy is calculated as follows:

EPE = 1/2 · k · x²

Then, the elastic potential energy is equal to the initial gravitational energy:

PE = EPE = 1.5 × 10² J = 1/2 · 500 N/m · x²

Solving for x:

1.5 × 10² Nm / (1/2 · 500 N /m) = x²

0.6 m² = x²

x = 0.8 m

The compressing distance is 0.8 m.

b) After the object comes to rest, the object will be released with a kinetic energy equal to the elastic potential energy. We can calculate the initial velocity of the object after it is released with the following equation:

KE = 1/2 · m · v²

Where:

KE = kinetic energy.

m = mass.

v = speed.

Since initially EPE = KE:

1.5 × 10² J = 3.0 kg · v²

√( 1.5 × 10² J / 3.0 kg) = v

v = 7.1 m/s

Then, after the object comes to rest, it will be released with an initial speed of 7.1 m/s and will reach a height of 5.0 m.

You might be interested in
Exam
Sedaia [141]
Out put work
explanation:
3 0
3 years ago
Read 2 more answers
A force that causes an object to change its motion is called?
GarryVolchara [31]
Unbalanced force.

The definition of an unbalanced force is a force that changes the position, speed or direction of the object to which it is applied.

When an object is still it means that is is balanced force. So you would need to add more force to another side to make it move. Which is unbalanced force.
8 0
3 years ago
Which reverses the flow of current through<br> an electric motor?
Gennadij [26K]

Answer:

a commutator

Explanation:

6 0
3 years ago
3. A Tylenol has 80 mg of acetaminophen.<br> How many grams is that
denis23 [38]

\boxed{\sf 1g=1000mg}

\\ \sf\longmapsto 80g

\\ \sf\longmapsto \dfrac{80}{1000}

\\ \sf\longmapsto 0.08g

6 0
3 years ago
X=Y=MC scourer that would be the answer for you mam or sir
Alecsey [184]

Me das mas información?

5 0
3 years ago
Read 2 more answers
Other questions:
  • The downward acceleration of a falling body on Earth is 9.81m/s2. On the moon the same quantity is 1.62m/s2. An astronaut in a s
    6·1 answer
  • The half-life of cobalt-60 is 5.3 years. If you have a sample that contains 10.0 g of the isotope, how much will be left after 1
    6·1 answer
  • An electric field of 260 000 n/c points due west at a certain spot. what are the magnitude and direction of the force that acts
    10·1 answer
  • What is the value of acceleration that the car experiences
    15·1 answer
  • How ar intrusive igneous bodies classified
    5·1 answer
  • A machinist turns on the power on to a grinding wheel at time t= 0 s. The wheel accelerates uniformly from rest for 10 s and rea
    12·1 answer
  • Click all that are examples of Kinetic Energy
    13·1 answer
  • Why are the temperatures a long coast lines more moderate then temperatures in land
    13·1 answer
  • A bullet is fired horizontally at 343 m/s from the top of a building where height is 37.3 m. The built will be
    10·1 answer
  • Explain why the rocket can move at constant speed in outer space.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!