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
masya89 [10]
3 years ago
13

A roller coaster has a mass of 650 kg. It sits at the top of a hill with height 78 m. If it drops from this hill, how fast is it

going when it reaches the bottom? (Assume there is no air resistance or friction.)
Physics
1 answer:
Leto [7]3 years ago
5 0

Answer:

The roller coaster is going at 39.1 m/s when it reaches the bottom

Explanation:

We use conservation of mechanical energy to solve this problem. So, we need to estimate the potential energy of the cart at the top of the hill while it is sitting steady there. Such will give us the cart initial Total Energy (TE) since its kinetic energy at that moment is zero (the cart is not moving, just sitting at the top of the hill).

Its initial potential energy (Ui) is therefore: Ui=m*g*h=650 * 9.8 * 78=496860 J

Notice also that all units given are in the SI system, (including the acceleration of gravity g) and therefore the answer is in Joules.

As we said, this initial potential energy equals the Total Energy  (TE) of the roller coaster because its initial Kinetic Energy (Ki) is zero.

When we look at what happens the instant the cart reaches the bottom, at that point it has all kinetic energy and zero potential energy (h is zero at the bottom of the hill). Final Kinetic Energy is by definition: Kf =\frac{1}{2} m*v^2=\frac{1}{2}650*v^2=325 v^2

Therefore, the conservation of mechanical energy tells us that:

ET_i=ET_F\\U_i+K_i=U_F+K_F\\496860 J +0J=0J+325v^2

We can solve for the final velocity of the roller coaster in this equation by solving for it in the equation:

496860 J +0J=0J+325v^2\\\\496860J=325v^2\\v^2=\frac{496860}{325} =1528.8\\v=\sqrt{1528.8} = 39.1 \frac{m}{s}

The velocity should result with units of meters/second since all quantities were given in SI units.

You might be interested in
How does increasing the distance between charged objects affect the electric force between them?
mina [271]

Answer: energy force

Explanation:

6 0
3 years ago
What should you do after handling chemicals in the lab
Natalija [7]

Answer:

Wash your hands with warm water and soap.

6 0
2 years ago
Which of the following is not an essential feature of scientific explanations?
sineoko [7]

Answer:

D I think I might be wrong its been a while scense I did something like that

4 0
3 years ago
If the resistance in a circuit remains constant, what happens to the electric power when the current increases?
Elena L [17]
V=IR (voltage equals current<span> times </span>resistance<span>). So </span>if<span> the voltage </span>increases<span>, then the </span>current increases<span> provided that the </span>resistance remains constant<span>.</span>
4 0
3 years ago
Read 2 more answers
Describe the agronomic significance of the upper and lower plastic limits, and of the plasticity index?​
GarryVolchara [31]

Answer:It shows the size of the range of the moisture contents at which the soil remains plastic. In general, the plasticity index depends only on the amount of clay present. It indicates the fineness of the soil and its capacity to change shape without altering its volume.

4 0
3 years ago
Other questions:
  • Listed following are three possible models for the long-term expansion (and possible contraction) of the universe in the absence
    13·1 answer
  • Suppose you are driving a car around in a circle of radius 212 ft, at a velocity which has the constant magnitude of 43 ft/s. A
    9·1 answer
  • PLEASE HELP! Explain how energy travels outward from the core and is emitted from the Sun. Include what happens in each layer of
    12·2 answers
  • Two adjoining plane mirrors are separated by an angle of 100°. Light is incident on the first mirror at an angle of 70°. The lig
    14·2 answers
  • A neighborhood transformer on the top of a utility pole transforms 19.0 kV 60.0 Hz alternating voltage down to 120.0 V to be use
    12·1 answer
  • A wire carries a 11.3-mA current along the +x-axis through a magnetic field = (16.2 + 2.4 ĵ) T. If the wire experiences a force
    8·1 answer
  • There is given an ideal capacitor with two plates at a distance of 3 mm. The capacitor is connected to a voltage source with 12
    8·1 answer
  • Here are the results of the study:
    11·1 answer
  • The net force on the propeller of a 3.2 kg model airplane is 7.0N forward. What is the acceleration of the airplane? If it start
    9·1 answer
  • If nominal gdp is 1800 and the money supply is 450, then what is velocity?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!