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
LUCKY_DIMON [66]
3 years ago
8

A 50g ball is released from rest 1.0 above the bottom of thetrack

Physics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

The maximum height of the ball is 2 m.

Explanation:

Given that,

Mass of ball = 50 g

Height = 1.0 m

Angle = 30°

The equation is

y=\dfrac{1}{4}x^2

We need to calculate the velocity

Using conservation of energy

\Delta U_{i}+\Delta K_{i}=\Delta K_{f}+\Delta U_{f}

Here, ball at rest so initial kinetic energy is zero and at the bottom the potential energy is zero

\Delta U_{i}=\Delta K_{f}

Put the value into the formula

mgh=\dfrac{1}{2}mv^2

Put the value into the formula

50\times10^{-3}\times9.8\times1.0=\dfrac{1}{2}\times50\times10^{-3}\times v^2

v^2=\dfrac{2\times50\times10^{-3}\times9.8\times1.0}{50\times10^{-3}}

v=\sqrt{19.6}

v=4.42\ m/s

We need to calculate the maximum height of the ball

Using again conservation of energy

\dfrac{1}{2}mv^2=mgh

Here, h = y highest point

Put the value into the formula

\dfrac{1}{2}\times50\times10^{-3}\times(4.42)^2=50\times10^{-3}\times9.8\times h

y=\dfrac{0.5\times(4.42)^2}{9.8}

y=0.996\ m

Put the value of y in the given equation

y=\dfrac{1}{4}x^2

x^2=4\times0.996

x=\sqrt{4\times0.996}

x=1.99\ m\ \approx 2 m

Hence, The maximum height of the ball is 2 m.

You might be interested in
In cats, short hair is dominant and long hair is recessive. If a cat has the genotype of hh, what type of hair will it have?
raketka [301]

Answer:

long hair

Explanation:

long hair = hh

short hair= HH

and medium= Hh

8 0
3 years ago
student saw a science fiction movie in which a spaceship was zooming through space. The sound of the engine was loud. However, h
Serhud [2]
Sound waves move through molecules. When there are no molecules in a certain space, sound cannot travel - whether in a vacuum or in space. 
4 0
3 years ago
Read 2 more answers
What is the difference between human caused Climate Change and natural<br> climate cycles?
Andre45 [30]
Human caused climate change is climate change caused by human made creations such as cars, trucks, factories, and plastic in oceans these all are causing the ozone layer to deteriorate. And natural climate change cycles is any change occurring to the planet's climate either permanently or lasting for long periods of time.
4 0
2 years ago
Ella makes this table to organize her notes on whether atoms gain or lose energy during the changes of state.
solong [7]

Answer:

The answer is D.

7 0
3 years ago
Read 2 more answers
Why must objects be cooled before their mass is determined on a sensitive balance?
zubka84 [21]
Objects should be cooled before their mass is determined on a sensitive balance because it could damage the balance. Also, because it would give you wrong reading of the mass. Hot objects would warm the air around it. A warm air would expand and would produce convection as it rises causing to give the object a mass that is less than the actual. Another reason would be it would cause instability in the readings, the mass would fluctuate every now and then due to the convection currents around the object. It is always recommended to weigh the masses of objects that are in room temperature.
5 0
3 years ago
Other questions:
  • What do wind and moving water have in common? Select one: They both have electrical energy They both have elastic potential ener
    10·1 answer
  • A rotating space station is said to create "artificial gravity" - a loosely-defined term used for an acceleration that would be
    9·1 answer
  • When we jump on a concrete surface , the feet gets injured,why?​
    6·2 answers
  • Which choice best characterizes K+ leakage channels? View Available Hint(s)
    5·1 answer
  • What is the density of a 200 gram mass whose volume is 300 cm?
    12·1 answer
  • What is the potential energy of a 20-kg safe sitting on a shelf 0.5 meters
    10·1 answer
  • Think of an example of a chemical change that some people might think is NOT a chemical change. Explain why it is.​
    9·1 answer
  • Facts about conolizing into mars?​
    5·1 answer
  • What product is formed by a reaction in which the hydrogen atoms of an acid are replaced by
    14·1 answer
  • How can an object's motion be described and predicted?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!