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
Ivan
2 years ago
5

A 15 kg box is sliding down an incline of 35 degrees. The incline has a coefficient of friction of 0.25. If the box starts at re

st, how fast is it moving after it travels 3 meters?
Physics
1 answer:
valina [46]2 years ago
4 0

The box has 3 forces acting on it:

• its own weight (magnitude <em>w</em>, pointing downward)

• the normal force of the incline on the box (mag. <em>n</em>, pointing upward perpendicular to the incline)

• friction (mag. <em>f</em>, opposing the box's slide down the incline and parallel to the incline)

Decompose each force into components acting parallel or perpendicular to the incline. (Consult the attached free body diagram.) The normal and friction forces are ready to be used, so that just leaves the weight. If we take the direction in which the box is sliding to be the positive parallel direction, then by Newton's second law, we have

• net parallel force:

∑ <em>F</em> = -<em>f</em> + <em>w</em> sin(35°) = <em>m a</em>

• net perpendicular force:

∑<em> F</em> = <em>n</em> - <em>w</em> cos(35°) = 0

Solve the net perpendicular force equation for the normal force:

<em>n</em> = <em>w</em> cos(35°)

<em>n</em> = (15 kg) (9.8 m/s²) cos(35°)

<em>n</em> ≈ 120 N

Solve for the mag. of friction:

<em>f</em> = <em>µ</em> <em>n</em>

<em>f</em> = 0.25 (120 N)

<em>f</em> ≈ 30 N

Solve the net parallel force equation for the acceleration:

-30 N + (15 kg) (9.8 m/s²) sin(35°) = (15 kg) <em>a</em>

<em>a</em> ≈ (54.3157 N) / (15 kg)

<em>a</em> ≈ 3.6 m/s²

Now solve for the block's speed <em>v</em> given that it starts at rest, with <em>v</em>₀ = 0, and slides down the incline a distance of ∆<em>x</em> = 3 m:

<em>v</em>² - <em>v</em>₀² = 2 <em>a</em> ∆<em>x</em>

<em>v</em>² = 2 (3.6 m/s²) (3 m)

<em>v</em> = √(21.7263 m²/s²)

<em>v</em> ≈ 4.7 m/s

You might be interested in
A sled is on an icy (frictionless) slope that is 30° above the horizontal. When a 40-N force, parallel to the incline and direct
son4ous [18]

Answer: 5.8kg

Explanation:

F - mg sinΦ = ma

Given that

M=?

g= 9.8

Φ= 30

a= 2

F= 40 then

40 - 9.8 * m * sin 30 = 2 * m

40 = 2 * m + 9.8 * m * sin 30

40 = (2 + 9.8 * sin 30) m

m = 40 / (2 + 9.8 * 0.5)

m = 40 / (2 + 4.9)

m = 40 / 6.9

m = 5.797kg

m = 5.8kg

4 0
3 years ago
A cylinder has volume 50 cm and radius 4 cm find its volume. pls do it with the full process ​
CaHeK987 [17]

Answer:

Explanation:

What is the volume of a right cylinder with a circumference of 25π in and a height of 41.3 in? Explanation: The formula for the volume of a right cylinder is: V = A * h, where A is the area of the base, or πr2. Therefore, the total formula for the volume of the cylinder is: V = πr2h.

4 0
3 years ago
The Demon Drop ride at the amusement park falls freely for 1.8 s after
timofeeve [1]

Answer:

Explanation:

a = -g = -9.80 m/s squared

d o  = 0

v o =  0

t = 1.8s

<h3>unkown:</h3>

d = ?

v = ?

8 0
3 years ago
Read 2 more answers
What will an object weigh on the moon's surface if it weighs 190 n on earth's surface?
Greeley [361]
Turn your protracted to a 90 degree angle
3 0
3 years ago
Which of the following factors will negatively impact the rate of diffusion of a molecule?
Maurinko [17]

Answer:

A low difference in the concentration of the molecule across the media

Explanation:

Diffusion is a type of passive transport where the molecules move in the influence of concentration gradient of diffusing molecules i.e. from the higher concentration region to the lower concentration region. There are some factors which affect the rate of diffusion, these are written below -

  1. Mass of diffusing molecule - lighter molecules diffuse faster and heavier one diffuse relatively slower.
  2. Concentration gradient - rate of diffusion is higher if the difference in concentration of the diffusing particles is larger in the two regions.
  3. Distance traveled - molecules diffuse faster if they need to travel little distance during diffusion.
  4. Temperature - rate of diffusion will be greater at higher temperatures because the movement of diffusing molecules gets increased.
  5. Solvent density - rate of diffusion tend to be lower if the solvent has higher density.

Looking at these factors we can conclude that the second statement in the question tells about a negative impact regarding the diffusion because due to low difference in concentration across the two media, the rate of diffusion will be lower.

3 0
3 years ago
Other questions:
  • What kind of atmospheric pressure does Makemake have?
    15·1 answer
  • The light of a star that can be seen from Earth is called what? (Apparent or Absolute Magnitude)
    13·1 answer
  • How many protons are in hydrogen -2
    6·1 answer
  • 3. A force of 200 N is applied to an object of area 2 sq.m . the pressure will be<br>​
    13·2 answers
  • A tire hanging from a tree is at rest. The force of gravity is pulling down on the tire. Another force, called tension, is pulli
    11·2 answers
  • An airplane flies with a constant speed<br> of 720 km/h. How far can it travel in<br> 3 hours
    7·1 answer
  • The trajectory an air mass follows, whether cyclonic or anti-cyclonic, greatly affects what characteristics of the air mass?
    15·1 answer
  • How does an inclined plane work? A A small input force is exerted over a long distance. B A large output force is exerted over a
    7·1 answer
  • Sara goes to her apartment on the fifth floor by elevator from
    8·1 answer
  • QUICK HELP ILL MARK U BRAINLIEST
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!