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
pogonyaev
3 years ago
13

A 4 kg block is launched up a 30° ramp with an initial speed of 5 m/s. The coefficient of kinetic friction between the block and

the ramp is 0.25. What is the speed of the block (in m/s) when it has returned to the bottom of the ramp?
Physics
1 answer:
zlopas [31]3 years ago
4 0

Answer:

The speed of the block when it has returned to the bottom of the ramp is 6.56 m/s.

Explanation:

Given;

mass of block, m =  4 kg

coefficient of kinetic friction, μk = 0.25

angle of inclination, θ = 30°

initial speed of the block, u = 5 m/s

From Newton's second law of motion;

F = ma

a = F/m

Net horizontal force;

∑F = mgsinθ + μkmgcosθ

a = \frac{F_{NET}}{m} = \frac{mgsin \theta + \mu_kmgcos \theta}{m} \\\\a = gsin \theta + \mu_kgcos \theta\\\\a = 9.8sin (30) + 0.25*9.8cos(30)\\\\a = 4.9 + 2.1217\\\\a = 7.022 \ m/s^2

At the  top of the ramp, energy is conserved;

Kinetic energy = potential energy

¹/₂mv² = mgh

¹/₂ v² = gh

¹/₂ x 5² = 9.8h

12.5 = 9.8h

h = 12.5/9.8

h = 1.28 m

Height of the ramp is 1.28 m

Now, calculate the speed of the block (in m/s) when it has returned to the bottom of the ramp;

v² = u² + 2ah

v²  = 5² + 2 x 7.022 x 1.28

v²  = 25 + 17.976

v²  = 42.976

v = √42.976

v = 6.56 m/s

Therefore, the speed of the block when it has returned to the bottom of the ramp is 6.56 m/s.

You might be interested in
Astronomers have found water on mars.
vodomira [7]

The thin atmosphere of Mars is thought to be due to the planet's lack of a magnetic field, which has allowed the Solar wind to blow away much of the gas the planet once had. Venus, despite still having a thick atmosphere of CO2, surprisingly has a similar problem

4 0
1 year ago
Look at the diagram of the moon and three different paths that it could take. A planet with a moon in orbit. The moon has arrows
marysya [2.9K]

Answer:

is 3 and 2

Explanation: the firth one is 3 and the 2

6 0
3 years ago
Read 2 more answers
An angry physics student releases a wrecking ball as shown. The wrecking ball is just about to hit the building at the final tim
daser333 [38]

Answer:

the force between the building and the ball is non-conservative (friction-type force)

Explanation

Explanation:For this exercise the student must create an impulse to move the ball towards the building, in this part he performs positive work since the applied force and the displacement are in the same direction.

When the ball moves it has a kinetic energy and if its height increases or decreases its potential energy also changes, but the sum of being must be equal to the initial work.

When the ball arrives and collides with the building, non-conservative forces, of various kinds; rubbing, breaking, etc. It transforms this energy into a part of heat and another in mechanical energy that the building must absorb, let us destroy its wall

Consequently, the force between the building and the ball is non-conservative (friction-type force

6 0
2 years ago
When two waves collide and create a taller wave, what interference occurs?
oksano4ka [1.4K]

It would be Constructive interference. It occurs when two waves collide and make a taller wave. 
3 0
3 years ago
A uniformly charged conducting sphere of 1.1 m diameter has a surface charge density of 6.2 µC/m2. (a) Find the net charge on th
ira [324]

Answer:

(a) q = 2.357 x 10⁻⁵ C

(b) Φ = 2.66 x 10⁶ N.m²/C

Explanation:

Given;

diameter of the sphere, d = 1.1 m

radius of the sphere, r = 1.1 / 2 = 0.55 m

surface charge density, σ = 6.2 µC/m²

(a)  Net charge on the sphere

q = 4πr²σ

where;

4πr² is surface area of the sphere

q is the net charge on the sphere

σ is the surface charge density

q = 4π(0.55)²(6.2 x 10⁻⁶)

q = 2.357 x 10⁻⁵ C

(b) the total electric flux leaving the surface of the sphere

Φ = q / ε

where;

Φ is the total electric flux leaving the surface of the sphere

ε is the permittivity of free space

Φ = (2.357 x 10⁻⁵) / (8.85 x 10⁻¹²)

Φ = 2.66 x 10⁶ N.m²/C

8 0
2 years ago
Other questions:
  • Which statement best defines a universal law?
    13·2 answers
  • Is fire actually hot and why do we call it hot; is it a classification for when something burns you.
    9·1 answer
  • Which scientific design has the fewest limitations?
    12·1 answer
  • A loop with a break in it that prevents current form flowing is called a(n) blank circuit
    14·1 answer
  • A bird is flying north with a mass of 2.5kg has a momentum of 17.5kg m/s at what velocity is it flying
    12·2 answers
  • The force of replusion between two like charged particles will increase if​
    9·1 answer
  • As the air on the surface of the earth warms what happens to the density of the air
    7·1 answer
  • Choose the incorrect statement about the proton: Group of answer choices The proton has the atomic mass of 1 amu The proton has
    15·1 answer
  • E) The number of moles of each gas produced at the electrodes is the same.
    15·1 answer
  • A honeybee is in flight between a flower and its hive. Which of the following statements is true?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!