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
Mazyrski [523]
3 years ago
11

An object thrown in the air has a velocity after t seconds that can be described by v(t) = -9.8t + 24 (in meters/second) and a h

eight h(t) = -4.9t 2 + 24t + 60 (in meters). The object has mass m = 2 kilograms. The kinetic energy of the object is given by K = __1 2mv2 , and the potential energy is given by U = 9.8mh. Find an expression for the total kinetic and potential energy K + U as a function of time. What does this expression tell you about the energy of the falling object?
Physics
1 answer:
marin [14]3 years ago
6 0

Answer and Explanation: Kinetic energy is related to movement: it is the energy an object possesses during the movement. it is calculated as:

K=\frac{1}{2}mv^{2}

For the object thrown in the air:

K=\frac{1}{2}.2.[v(t)]^{2}

K=(-9.8t+24)^{2}

K=96.04t^{2}-470.4t+576

Kinetic energy of the object as a function of time: K=96.04t^{2}-470.4t+576

Potential energy is the energy an object possesses due to its position in relation to other objects. It is calculated as:

U=mgh

For the object thrown in the air:

U=9.8.2.h(t)

U=9.8.2.(-4.9t^{2}+24t+60)

U=-96.04t^{2}+470.4t+1176

Potential energy as function of time: U=-96.04t^{2}+470.4t+1176

Total kinetic and potential energy, also known as mechanical energy is

TME = 96.04t^{2}-470.4t+576 + (-96.04t^{2}+470.4t+1176)

TME = 1752

The expression shows that total energy of an object thrown in the air is constant and independent of time.

You might be interested in
Example of extensive property <br><br> Please fast
34kurt

Answer:

Mass and volume

Explanation:

3 0
2 years ago
A ferris wheel is 35 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position
Drupady [299]

Answer:

h=f(t)= -17.5cos(\pi /3)+20.5

Explanation:

Amplitude is 35/2=17.5

Midline= Distance from ground + Amplitude = 17.5+3= 20.5

Period is time taken to finish 6 minutes

2π/b=T

2π/b=6

b=π/3

h=f(t)= -17.5cos(\pi /3)+20.5

6 0
3 years ago
Read 2 more answers
What is the difference between a general and a specific tolerance, and how can you tell the difference on a drawing?
Gnesinka [82]
<span>During the reading of a blueprint, a general tolerance pertains to all dimensions that are not independently identified. All tolerances are +\- .030. General tolerances are mostly found in the blueprint’s set of information. Let’s say for example, a compact tolerance is required, then a specific tolerance is considered for specific areas of the blueprint. These kinds of tolerances are commonly found along the affected area.</span>
6 0
3 years ago
When lights are wired such that if one bulb fails, the entire string of lights
Viktor [21]

Answer:

series

Explanation:

In a series circuit all the components are attached to one branch, so that if one component fails, all the others stop working. In a parallel circuit, however, the components are wired in separate branches, so that even if one branch fails, the rest are not disrupted.

8 0
2 years ago
Read 2 more answers
¿Cuál de las siguientes magnitudes es derivada?
Sedaia [141]

Answer:

A. El volumen

B. La densidad.

Explanation:

A derived quantity is defined as one that has to be calculated by using two or more other measurements.

Volume is a derived quantity because it requires one to use different measurements to determine it. For instance, in the case of a cube, the length, width and height of the cube are all needed to calculate volume.

Density is also a derived quantity because it needs both volume and mass for it to be calculated.

8 0
3 years ago
Other questions:
  • What are gamma rays used for
    15·2 answers
  • Lena is playing with a remote-controlled car in her backyard. She knows that the car uses a wheel and axle to move. What is the
    12·1 answer
  • Which value from his calculation most strongly affects the number of significant figures in the answer?
    14·1 answer
  • Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration
    6·1 answer
  • Which of the following statements is true of the carbohydrate glucose?
    8·2 answers
  • In what medium would light have the longest wavelength
    10·1 answer
  • An electric heater draws 13 amperes of current when connected to 120 volts. If the price of electricity is $0.10/kWh, what would
    10·1 answer
  • When plug prongs are connected to the metal case of an appliance, a part that should always be placed next to the case is a
    12·1 answer
  • The human ear canal is, on average, 2.5cm long and aids in hearing by acting like a resonant cavity that is closed on one end an
    12·1 answer
  • 100 POINTS. PLEASE EXPLAIN
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!