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
never [62]
3 years ago
12

Ask Your Teacher Suppose the roller coaster below(h1 = 36 m, h2 = 13 m, h3 = 30) passes point A with a speed of 1.00 m/s. If the

average force of friction is equal to one fifth of its weight, with what speed will it reach point B? The distance traveled is 60.0 m.
Physics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

The answer to the question is

The roller coaster will reach point B with a speed of 14.72 m/s

Explanation:

Considering both kinetic energy KE = 1/2×m×v² and potential energy PE = m×g×h

Where m = mass

g = acceleration due to gravity = 9.81 m/s²

h = starting height of the roller coaster

we have the given variables

h₁ = 36 m,

h₂ = 13 m,

h₃ = 30 m

v₁ = 1.00 m/s

Total energy at point 1 = 0.5·m·v₁² + m·g·h₁

= 0.5 m×1² + m×9.81×36

=353.66·m

Total energy at point 2 = 0.5·m·v₂² + m·g·h₂

= 0.5×m×v₂² + 9.81 × 13 × m = 0.5·m·v₂² + 127.53·m

The total energy at 1 and 2 are not equal due to the frictional force which must be considered

Total energy at point 2 = Total energy at point 1 + work done against friction

Friction work = F×d×cosθ = (\frac{1}{5} × mg)×60×cos 180 = -117.72m

0.5·m·v₂² + 127.53·m = 353.66·m -117.72m

0.5·m·v₂² = 108.41×m

v₂² = 216.82

v₂  =  14.72 m/s

The roller coaster will reach point B with a speed of 14.72 m/s

You might be interested in
What is the volume of water in 150ml of the 35% w/w of sucrose solution with a specific gravity of 1.115?
pentagon [3]

Answer:108.71 mL

Explanation:

Given

Volume of sample V=150 mL

concentration of sucrose solution 35 % w/w i.e. In  100 gm of sample 35 gm is sucrose

specific gravity =1.115

Density of solution \rho _s=1.115\times density\ of\ water

Thus

\rho _s=1.15\times 1 gm/mL=1.115\ gm/mL

mass of sample M=1.115\times 150=167.25\ gm

mass of sucrose m_s=0.35\times 167.25=58.53\ gm

mass of Water m_w=108.71 gm

Volume of water =108.71\times 1=108.781 mL

7 0
3 years ago
What method would produce disease resistant cattle in the shortest amount of time?
xenn [34]
My brother said it is D
7 0
3 years ago
If Siobhan hits a 0.25 kg volleyball with 0.5 N of force, what is the acceleration of the ball?
Alekssandra [29.7K]

Answer:

2 meters per second²

Explanation:

8 0
3 years ago
Read 2 more answers
Which number below equals 129000? * *
solong [7]

Answer:

0.1

Explanation:

5 0
3 years ago
The SI system uses three base units. Is this true or false?
ozzi
The\text{ SI }system\text{ uses seven }base\text{ units, hence the statement is false}

8 0
11 months ago
Read 2 more answers
Other questions:
  • As part of an interview for a summer job with the Coast Guard, you are asked to help determine the search area for two sunken sh
    11·1 answer
  • Vector C has a magnitude of 24.6 m and points in the − y ‑ direction. Vectors A and B both have positive y ‑ components, and mak
    6·1 answer
  • ____ are streamlike movements of water in the ocean.(what is blank)
    15·1 answer
  • Which form of nitrogen can immediately be used by plants
    11·1 answer
  • A small ball of mass m is dropped immediately behind a large one of mass M from a height h mach larger then the size of the ball
    11·1 answer
  • What is photosynthesis​
    7·2 answers
  • Why does alternating current change direction 50 to 60 times per second?
    10·2 answers
  • If y gets smaller as x gets bigger, x and y have a?
    12·2 answers
  • Dos cargas muy pequeñas de masas iguales m
    7·1 answer
  • I WILLL MARK YOUUUUUUU HELPPPP
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!