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
kow [346]
3 years ago
12

A hot air balloon is hovering in the air when it drops a 40 Kg food package to some lost golfers. If the package is dropped from

an altitude of 500 m and air resistance can be neglected, how fast is the package moving when it hits the ground?
Physics
1 answer:
UNO [17]3 years ago
5 0
We can calculate this with the law of conservation of energy. Here we have a food package with a mass m=40 kg, that is in the height h=500 m and all of it's energy is potential. When it is dropped, it's potential energy gets converted into kinetic energy. So we can say that its kinetic and potential energy are equal, because we are neglecting air resistance:

Ek=Ep, where Ek=(1/2)*m*v² and Ep=m*g*h, where m is the mass of the body, g=9.81 m/s² and h is the height of the body.

(1/2)*m*v²=m*g*h, masses cancel out and we get:

(1/2)*v²=g*h, and we multiply by 2 both sides of the equation

v²=2*g*h, and we take the square root to get v:

v=√(2*g*h)

v=99.04 m/s

So the package is moving with the speed of v= 99.04 m/s when it hits the ground. 
You might be interested in
3. How long will it take a ball to reach the ground if it falls from a cliff 25 m tall (starting from rest)? What if the ball we
Nady [450]

Answer:

2.26 s

Explanation:

Let's take down to be positive.

Given (in the y direction):

Δy = 25 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

25 m = (0 m/s) t + ½ (9.8 m/s²) t²

25 = 4.9t²

t = 2.26 s

If the ball instead had an initial horizontal velocity of 5 m/s, its initial vertical velocity is still 0 m/s.  So the time to fall is still 2.26 s.

4 0
3 years ago
Which of the following is a result of gravitational forces in the Solar System?
postnew [5]
The correct answer is d
3 0
3 years ago
Which group of words do you think is an idiom?
Lady bird [3.3K]

Explanation:

a chip on your shoulder is an example

6 0
3 years ago
Read 2 more answers
In a cyclic process, a gas performs 123 J of work on its surroundings per cycle. What amount of heat, if any, transfers into or
Margaret [11]

Answer:

123 J transfer into the gas

Explanation:

Here we know that 123 J work is done by the gas on its surrounding

So here gas is doing work against external forces

Now for cyclic process we know that

\Delta U = 0

so from 1st law of thermodynamics we have

dQ = W + \Delta U

dQ = W

so work done is same as the heat supplied to the system

So correct answer is

123 J transfer into the gas

8 0
3 years ago
Choose 3 ways to keep our bodies healthy
Alina [70]

Answer:

take daily showers . eat vegies .sanitize your hands

7 0
2 years ago
Read 2 more answers
Other questions:
  • A 5 inch tall balloon shoot doubles in height every 3 days. if the equation y=ab^x, where is x is the number of doubling periods
    10·1 answer
  • On a map of average annual temperature, why are the lower latitudes so much warmer than the higher latitudes?
    8·2 answers
  • (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1510 m/s? (c) With wh
    5·1 answer
  • Just about everyone at one time or another has been burned by hot water or steam. This problem compares the heat input to your s
    13·1 answer
  • Which of the following are non-contact forces: friction, electrostatic force, magnetic force, gravity?
    13·2 answers
  • A camera employs a ............................... lens to form...................... images. a. converging .... real b. converg
    7·1 answer
  • In Space, an astronaut releases a wrench from his hand. The wrench has a mass of 4 grams and is traveling with a velocity of -15
    15·1 answer
  • Suppose a net force of 7900 N is applied to slide a 950 kg crate across the floor. Compute the resulting acceleration of the cra
    9·1 answer
  • 1. A 12 kg dog is running 5 m/s. How much kinetic energy does the dog have?
    10·1 answer
  • The condition required to work to be done​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!