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
GalinKa [24]
4 years ago
5

Two horses leave the starting gate at the beginning of a 2000 m long race. The brown horse has an acceleration of 2.2 m/s2 and a

top constant speed of 18 m/s. The black horse has an acceleration of 1.7 m/s2 and a top constant speed of 20 m/s. Which horse wins the race? Assume that each horse’s top constant speed is what it can sustain for the rest of the race after the initial acceleration period.
Physics
1 answer:
forsale [732]4 years ago
8 0
Define brown horse:
a₁ = 2.2 m/s², acceleration
v₁ = 18 m/s, top speed

Define the black horse:
a₂ = 1.7 m/s², accelerastopn
v₂ = 20 m/s, maximum speed

To travel 2000m, each horse accelerates to maximum speed, and cruises to the finish line.

For the brown horse:
The time to attain maximum speed is
t₁₁ = v₁/a₁ = 18/2.2 = 8.182 s
The distance travelled during the acceleration is
s = (1/2)*a*t² = 0.5*2.2*8.182² = 73.636 m
The time to travel the remaining distance is
t₁₂ = (2000 - 73.636)/18 = 107.02 s
The total time of travel is
t₁ = t₁₁ + t₁₂ = 8.182 + 107.02 = 115.2 s (approx)

For the black horse:
Time to attain maximum speed is
t₂₁ = 20/1.7 = 11.765 s
Distance traveled while accelerating is
0.5*(1.7 m/s²)*(11.765 s)² = 117.647 m
Time to travel the remaining distance is
t₂₂ = (2000 - 117.647)/20 = 94.118 s
The total time of travel is
t₂ = t₂₁ + t₂₂ = 11.765 + 94.118 = 105.9 s (approx)

Conclusion:
The black horse wins the race in about 106 s, while the brown horse takes about 115 s

Answer: The black horse wins.
You might be interested in
A piano tuner is tuning a piano when he discovers that the G above middle C is vibrating with a higher frequency than his G tuni
kotegsom [21]

Answer:

Tuning a piano is the process of adjusting the tension of its strings, thereby altering their pitch, or frequency of vibration, by slightly turning the tuning pins to which they're attached, so that each string sounds pleasingly in harmony with every other string.

<h2>Hopefully u will satisfy with my answer of ur question..!!</h2>

<h2>Have a nice day ahead dear..!!</h2>
6 0
3 years ago
A 0.25 kg beach ball rolling at a speed of 7 m/s collides with a heavy exercise ball at rest. The beach ball bounces straight ba
svetlana [45]

Answer:

A 0.25 kg beach ball rolling at a speed of 7 m/s collides with a heavy exercise ball at rest. The beach ball bounces straight back with a speed of 4 m/s. That is the change in momentum of the beach ball? What is the impulse exerted on the beach ball? What is the impulse exerted on the exercise ball?

Explanation:

the answer is impulse grenade from fortnite

7 0
3 years ago
NEED HELP!!! ANSWER THESE 4 QUESTIONS FOR 20 POINTS!!!! PLEASE ANSWER!! I WILL GIVE YOU BRAINEST
MatroZZZ [7]

Answer:

1)A

2)C

3)A

4)C

Pls give brainliest

I ACTUALLY NEED IT!!!

5 0
2 years ago
500km is equal to how many millimeters
Sindrei [870]

Answer:

500000000

if you can give me brainliest that would be great

7 0
4 years ago
A truck with 0.420-m-radius tires travels at 32.0 m/s. what is the angular velocity of the rotating tires in radians per second?
andrey2020 [161]

Angular velocity of the rotating tires can be calculated using the formula,

v=ω×r

Here, v is the velocity of the tires = 32 m/s

r is the radius of the tires= 0.42 m

ω is the angular velocity

Substituting the values we get,

32=ω×0.42

ω= 32/0.42 = 76.19 rad/s

= 76.19×\frac{1}{2\pi} *60 revolution per min

=728 rpm

Angular velocity of the rotating tires is 76.19 rad/s or 728 rpm.

4 0
3 years ago
Other questions:
  • A silver bar of length 30 cm and cross-sectional area 1.0 cm2 is used to transfer heat from a 100°C reservoir to a 0°C block of
    11·1 answer
  • An object of mass 50 kg accelerates from a velocity of 2.0 m/s to a velocity of 10 m/s in the same direction in 4.0 s.
    14·1 answer
  • 8 points
    12·2 answers
  • Research indicates many adults experience emotional turmoil during their 40s. T or F
    10·2 answers
  • Three point charges (some positive and some negative) are fixed to the corners of the same square in various ways, as the drawin
    14·1 answer
  • Quickly spinning the handle of a hand generator, Kristina is able to light three bulbs in a circuit. When she spins the generato
    11·1 answer
  • Most stars are<br> a.brown fs<br> b.main sequence<br> c.white dwarfs<br> d.pulsars
    15·1 answer
  • What planet with the largest rings
    5·2 answers
  • A scientist in Northern California is studying the tree rings of a very old redwood tree. He notices that the oldest tree rings
    11·2 answers
  • When a student stands on a rotating table
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!