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
svet-max [94.6K]
3 years ago
15

An airplane is flying at a speed of 45 m/s when it drops a 40 kg food package to the Polar exploration team. If the plane drops

the package from an altitude of 120 m and air resistance can be neglected, how fast is the package moving when it hits the ground?
Physics
1 answer:
Alina [70]3 years ago
3 0

To solve this problem we will apply the concepts related to energy conservation, so the potential energy in the package must be equivalent to its kinetic energy. From there we will find the speed of the package in the vertical component. The horizontal component is given, as it is the same as the one the plane is traveling to. Vectorially we will end up finding its magnitude. So,

PE = KE

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

Here,

m = Mass

g = Gravity

h = Height

v = Velocity

Rearranging to find the velocity

v = \sqrt{2gh}

Replacing,

v = \sqrt{2(9.8)(120)}

v = 48.49m/s

Using the vector properties the magnitude of the velocity vector would be given by,

|V| = \sqrt{v_x^2+v_y^2}

|V| = \sqrt{45^2+48.42^2}

|V| = 66.2m/s

Therefore the package is moving to 66.2m/s

You might be interested in
Write the equations of motions​
Sav [38]

Answer:

In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.[1] More specifically, the equations of motion describe the behaviour of a physical system as a set of mathematical functions in terms of dynamic variables. These variables are usually spatial coordinates and time, but may include momentum components. The most general choice are generalized coordinates which can be any convenient variables characteristic of the physical system.[2] The functions are defined in a Euclidean space in classical mechanics, but are replaced by curved spaces in relativity. If the dynamics of a system is known, the equations are the solutions for the differential equations describing the motion of the dynamics.

6 0
3 years ago
Read 2 more answers
An object has a height of 0.066 m and is held 0.210 m in front of a converging lens with a focal length of 0.140 m. (Include the
Anvisha [2.4K]

Explanation:

Given that,

Size of object, h = 0.066 m

Object distance from the lens, u = 0.210 m (negative)

Focal length of the converging lens, f = 0.14 m

If v is the image distance from the lens, we can find it using lens formula as follows :

\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{0.14 }+\dfrac{1}{(-0.21)}\\\\v=0.42\ m

(a) Magnification,

m=\dfrac{v}{u}\\\\m=\dfrac{0.42}{(-0.21)}\\\\m=-2

(b) Magnification, m=\dfrac{h'}{h}

h' is image height

-2=\dfrac{h'}{0.066}\\\\h'=-2\times 0.066\\\\h'=-0.132\ m

Hence, this is the required solution.

4 0
2 years ago
When balancing an equation, you can
attashe74 [19]
D. write down the coefficients
7 0
3 years ago
An astronaut drops a hammer from 2.0 meters above the surface of the moon. if the acceleration due to gravity on the moon is 1.6
aivan3 [116]

Answer:

1.57 s

Explanation:

Since the motion of the hammer is a uniformly accelerated motion, the distance covered by the hammer in a time t is

S=\frac{1}{2}at^2

Where, in this case

S = 2.0 m is the distance covered

a = 1.62 m/s^2 is the acceleration due to gravity

t is the time taken

Re-arranging the equation, we can find the time the hammer takes:

t=\sqrt{\frac{2S}{a}}=\sqrt{\frac{2(2.0 m)}{1.62 m/s^2}}=1.57 s

8 0
3 years ago
Read 2 more answers
Which of these is the most likely impact of solar prominence on Earth?
svlad2 [7]

<span>Solar prominences themselves are of no concern because they are visible in the Hydrogen Alpha wavelength. They are anchored in place by magnetic fields. When these fields break or reconnect, it can send the plasma that makes up the prominence away from the sun. If one of these clouds impacts Earth, they are called CMEs or coronal mass ejections. Depending on the magnetic orientation of the cloud with respect to Earth's the CME can break down our magnetic field resulting in geomagnetic storms, aurorae, power grid fluctuations, and particle radiation near the poles, satellite single upset events, and radio blackouts. </span>

<span>
</span>

<span>Thus, letter a is the answer. </span>

8 0
3 years ago
Other questions:
  • Suppose that air resistance cannot be ignored. For the position at which the person has jumped from the platform and the cord re
    8·1 answer
  • To make extra money during the summer, Mr. Garber, a 66.0-kg physics teacher, paints the outside of houses while sitting on a 5.
    12·1 answer
  • A student is running at her top speed of 5.4 m/s to catch a bus, which is stopped at the bus stop. When the student is still a d
    13·1 answer
  • Joaquin mows the lawn at his grandmother’s home during the summer months. Joaquin measured the
    8·1 answer
  • Which of the following is an agent of socialization?
    7·2 answers
  • What happens in the red blood cells in the lungs?
    13·1 answer
  • What is the measure of how much matter is in an object and that can be measured using a balance? a. height b. volume c. weight d
    11·1 answer
  • 1. A student mixes baking soda and vinegar in a glass. Do you think any new substances are being created in this mixture? If so,
    15·1 answer
  • when an object moves with constant velocity, does its average velocity during any time interval differ from its instataneous vel
    15·1 answer
  • The top pair of pliers failed to loosen a stubborn bolt, but the bottom pair successfully removed it.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!