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
Jobisdone [24]
3 years ago
12

The first hill of a roller coaster is 42.0 meters high. The bottom of the first hill is 4.2 meters off the ground.The roller coa

ster cart has a mass of 4500 kg.
Calculate its potential energy at the top of the first hill.





Calculate its potential energy at the bottom of the first hill.





Challenge- What is the velocity of the cart at the bottom of the first hill?
Physics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

1.89*10⁶J

Explanation:

because 4500kg * 42m*10m/s² is 1890000J

You might be interested in
Sir Percival and his horse are standing still on a field of honor when Sir Rodney, atop his steed gallops by with a constant vel
Ludmilka [50]

Answer:

d. none of these

Explanation:

From the given information:

Let assume that Percival catches Sir Rodney's horse in time "t" after covering a certain distance "s"

Then, using the second equation of motion:

S = ut + \dfrac{1}{2}at^2

FOR Percival, we have:

S = (0\times t ) + \dfrac{1}{2} \times 0.6 \ m/s \times t^2  \\ \\  S = 0.3 \ m/s \times t^2  -- --  (1)

FOR Sir Rodney;

S = ut + \dfrac{1}{2}at^2

S = (3\times t ) + \dfrac{1}{2} \times 0 \times t^2  \\ \\  S =3t---  (2)

Equating both equations together; we have:

0.3t² = 3t

0.3t² - 3t = 0

0.3t(t - 10) = 0

If Percival's position at rest = 0

Then; t = 10 s.

8 0
3 years ago
A hot air balloon is filled with 1.45 × 10 6 L of an ideal gas on a cool morning ( 11 ∘ C ) . The air is heated to 109 ∘ C . Wha
just olya [345]

Answer:

<em>The volume of air after the balloon is heated = 1.95 × 10⁶ L</em>

Explanation:

Charles Law: Charles' law states that the volume of a given mass of gas is directly proportional to the temperature in Kelvin, provided that the pressure remains constant.

It can be expressed mathematically as,

V₁/T₁ = V₂/T₂

Making V₂ The subject of the equation

V₂ = (V₁/T₁)T₂.................... Equation 1

Where V₁ = Initial Volume, T₁ = Initial Temperature, V₂ = Final Volume, T₂ = final Temperature

<em>Given: V₁ = 1.45 × 10⁶ L, T₁ = 11 °C = (11 + 273) K = 284 K, T₂ = 109 °C = (109 + 273) = 382 K.</em>

<em>Substituting these values into equation 1 above,</em>

<em>V₂ = (1.45×10⁶)382/284</em>

<em>V₂ = 1.95 × 10⁶ L</em>

<em>Therefore the volume of air after the balloon is heated = 1.95 × 10⁶ L</em>

6 0
3 years ago
Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, t
NemiM [27]

Answer:

their final velocity is 0.091 m/s

Explanation:

Given;

mass of the first train, m₁ = 138,000 kg

mass of the second train, m₂ = 123,000 kg

initial velocity of the first train, u₁ = 0.288 m/s

initial velocity of the seocnd train, u₂ = -0.131 m/s (opposite direction to the first)

Let their common final velocity after been coupled = v

Apply the principle of conservation of linear momentum;

m₁u₁  +  m₂u₂ = v(m₁  +  m₂)

(138,000 x 0.288)    +    (-0.131 x 123,000)   =   v(138,000 + 123,000)

39,744   -   16,113   =  v(261,000)

23,631 = v(261,000)

v = 23,631 / 261,000

v = 0.091 m/s

Therefore, their final velocity is 0.091 m/s

5 0
3 years ago
Will a non-metal replace a metal?​
I am Lyosha [343]

Answer:

no

Explanation

non-metal and metal are two different things

3 0
3 years ago
What is the gravitational potential energy of a 1.02 kg book on the top of a 2.0m locker
zmey [24]

Answer:

20.4

Explanation:

6 0
3 years ago
Other questions:
  • The overall charge of the nucleus is _____<br> a. positive <br> b. negative <br> c. neutral
    15·2 answers
  • Which of the following procedures will double the force on two point charges? A. halving the distance between the charges B. dou
    9·1 answer
  • This is an organism which feeds on but usually does not kill a larger organism
    6·2 answers
  • List the causes/driving forces that affect currents in the ocean
    5·1 answer
  • 3.A golf ball is hit of it’s tee, 200m down the fairway.
    8·1 answer
  • How does the amount of dark matter in clusters of galaxies compare to the amount of visible matter?
    14·1 answer
  • An object is traveling at a velocity of 100 rn/s to the left for about 5 seconds. How far has the object traveled? (What is the
    8·1 answer
  • Which of the following is not a change that occurred to organisms over time in the fossil record?
    15·2 answers
  • Science, who ever answers this will get a brainlest
    15·2 answers
  • A 300 g bird flying along at 6.0 m/s sees a 10 g insect heading straight toward it with a speed of 30 m/s. the bird opens its mo
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!