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ki77a [65]
3 years ago
7

A small package is attached to a helium-filled balloon rising at 2 m/s. The package drops from the balloon when it is 14 meters

above the ground. What is the velocity of the package just before it hits the ground?
Physics
1 answer:
scZoUnD [109]3 years ago
4 0
I would assume air resistance is negligible and so the acceleration of the package would be approximately 9.81 m/s².

Taking downwards as positive, use v²=u²+2as.
v²=(-2)²+2(9.81)(14)
v=16.7 m/s
You might be interested in
How long does it take light from a camera to travel to the face of someone standing 7 meters away?
mestny [16]

The time taken for the light to travel from the camera to someone standing 7 m away is 2.33×10¯⁸ s

Speed is simply defined as the distance travelled per unit time. Mathematically, it is expressed as:

<h3>Speed = distance / time </h3>

With the above formula, we can obtain the time taken for the light to travel from the camera to someone standing 7 m away. This can be obtained as follow:

Distance = 7 m

Speed of light = 3×10⁸ m/s

<h3>Time =?</h3>

Time = Distance / speed

Time = 7 / 3×10⁸

<h3>Time = 2.33×10¯⁸ s</h3>

Therefore, the time taken for the light to travel from the camera to someone standing 7 m away is 2.33×10¯⁸ s

Learn more: brainly.com/question/14988345

8 0
2 years ago
Tutorial Exercise An unstable atomic nucleus of mass 1.83 10-26 kg initially at rest disintegrates into three particles. One of
kogti [31]

Answer:

A) v3 = -[6.29 × 10^(6)]j^ - [7.06 × 10^(6)]i^

B) K_total = 373.08 × 10^(-15) J

Explanation:

We are given;

Mass of unstable atomic nucleus; M = 1.83 × 10^(-26) kg

Mass of first particle; m1 = 5.03 × 10^(-27) kg

Speed of first particle in y-direction; v1 = (6 × 10^(6) m/s) j^

Mass of second particle; m2 = 8.47 × 10^(-27) kg

Speed of second particle in x - direction; v2 = (4 × 10^(6) m/s) i^

Now, we don't have the mass of the third particle but since we are told the unstable atomic nucleus disintegrates into 3 particles, thus;

M = m1 + m2 + m3

1.83 × 10^(-26) = (5.03 × 10^(-27)) + (8.47 × 10^(-27)) + m3

m3 = (1.83 × 10^(-26)) - (13.5 × 10^(-27))

m3 = 4.8 × 10^(-27) kg

A) Applying law of conservation of momentum, we have;

MV = (m1 × v1) + (m2 × v2) + (m3 × v3)

Now, the unstable atomic nucleus was at rest before disintegration, thus V = 0 m/s.

Thus, we now have;

0 = (m1 × v1) + (m2 × v2) + (m3 × v3)

We want to find the velocity of the third particle v3. Let's make it the subject of the formula;

v3 = [(m1 × v1) + (m2 × v2)]/(-m3)

Plugging in the relevant values, we have;

v3 = [(5.03 × 10^(-27) × 6 × 10^(6))j^ + (8.47 × 10^(-27) × 4 × 10^(6))i^]/(-4.8 × 10^(-27))

v3 = [(30.18 × 10^(-21))j^ + (33.88 × 10^(-21))i^]/(-4.8 × 10^(-27))

v3 = -[6.29 × 10^(6)]j^ - [7.06 × 10^(6)]i^

B) Formula for kinetic energy is;

K = ½mv²

Now,total kinetic energy is;

K_total = K1 + K2 + K3

K1 = ½ × 5.03 × 10^(-27) × (6 × 10^(6))²

K1 = 90.54 × 10^(-15) J

K2 = ½ × 8.47 × 10^(-27) × (4 × 10^(6))²

K2 = 67.76 × 10^(-15)

To find K3, let's first find the magnitude of v3 because it's still in vector form.

Thus;

v3 = √[(-6.29 × 10^(6))² + (-7.06 × 10^(6))²]

v3 = 9.46 × 10^(6) m/s

K3 = ½ × 4.8 × 10^(-27) × (9.46 × 10^(6))²

K3 = 214.78 × 10^(-15) J

K_total = (90.54 × 10^(-15)) + (67.76 × 10^(-15)) + (214.78 × 10^(-15))

K_total = 373.08 × 10^(-15) J

7 0
3 years ago
Is it possible for an object to be in motion without any external force applied? justify
Rudiy27
Newton’s first law is commonly stated as:
An object at rest stays at rest and an object in motion stays in motion.
However, this is missing an important element related to forces. We could expand it by stating:
An object at rest stays at rest and an object in motion stays in motion at a constant speed and direction unless acted upon by an unbalanced force.
By the time Newton came along, the prevailing theory of motion—formulated by Aristotle—was nearly two thousand years old. It stated that if an object is moving, some sort of force is required to keep it moving. Unless that moving thing is being pushed or pulled, it will simply slow down or stop. Right?
This, of course, is not true. In the absence of any forces, no force is required to keep an object moving. An object (such as a ball) tossed in the earth’s atmosphere slows down because of air resistance (a force). An object’s velocity will only remain constant in the absence of any forces or if the forces that act on it cancel each other out, i.e. the net force adds up to zero. This is often referred to as equilibrium. The falling ball will reach a terminal velocity (that stays constant) once the force of air resistance equals the force of gravity.

Hope this help
8 0
3 years ago
Any magnetic properties occur _____________
lyudmila [28]

Answer:

wen you stick to mangnetits togater

Explanation:

7 0
3 years ago
Read 2 more answers
suppose you got up this morning and the lightbulb in your room wouldn't come on. Use the of the scientific method to explain how
Anna007 [38]

Answer:TEP 1: State the Problem

A problem is a question to be thought about and either solved or answered. Problems surround all of us. Each day we are faced with more problems than we realize and we use the scientific method to solve them without even thinking about it.

EXAMPLE: The lamp does not come on when you flip the switch.

Your problem may be something that you observe around you or it can be determined by researching a topic and attempting to repeat an experiment of another scientist based on what you are working with.

STEP 2: Make Observations

An observation is the act of recognizing and recording something that is happening. Observing often involves the use of measurements and instruments to take measurements with.

EXAMPLE: (1) There is a light bulb. (2) The switch is in the on position.

(3)Other lights in the house are on. (4) The electrical cord is plugged in.

You make these observations based on the things you see, hear, and in other ways notice going on around you. You may also base your observations on information you found from researching the topic. Maybe you found the manual for the lamp and read about how it is supposed to work. You might have searched for information about Thomas Edison and his invention of the light bulb. These works of others are called background research.

 

STEP 3: Form a Hypothesis

A hypothesis is an educated guess meaning an explanation for something that happens based on facts that can then be tested to try and find logical answers.

EXAMPLE: The light bulb is burned out.

Your hypothesis should answer your question of why the lamp does not come on. You can come to this conclusion based on your own knowledge or from researching how a lamp works. We assume that if the lamp is plugged in and turned on that it should light. We also know that if other lights in the house are on, some electricity is running through the house. Your hypothesis does not have to be proven correct by your experiment, it just needs to be testable.

Having more than one hypothesis is fine. There could be a number of reasons why the lamp is not lit and testing them all might be the only way to find an answer. Before beginning to experiment, use logical reason to determine if any of your hypotheses can be eliminated. Maybe the fuse is blown or the outlet is bad. The switch could be wired wrong or broken. These are all testable hypotheses that could be looked into if the light bulb is not the problem.

 

STEP 4: Experiment

An experiment is a step-by-step procedure that is carried out under controlled conditions to attempt to prove a hypothesis, discover and unknown effect or law, or to illustrate a known law.

EXAMPLE: First remove the light bulb and screw it back in tightly to make sure that it was not loose. If that does not work, take the bulb from a lamp you know is working and place it in the broken lamp. If that lights, try another bulb to be sure.

Your experimental set-up should include a control and a variable. You may include more than one variable, but this will increase the size of your experiment. It is also very important to replicate in your experimetal procedure to avoid error. This means that you should try it at least three times. From your experiment you will need to gather data. Data can be organized in charts and or graphs and numerical data should be measured using the metric system.

The Metric System

How To Organize a Data Table

How To Graph

 

STEP 5: Draw a Conclusion

A conclusion is a reasonable judgment based on the examination of data from an experiment. The result or outcome of an act or process.

EXAMPLE: The lamp lit after the bulb was changed, therefore the light bulb must have been burned out.

You might also know from experience that if the filament is broken in a light bulb, it will make a rattling sound when you shake the bulb. To confirm your results, you could shake the bul

Explanation:

5 0
3 years ago
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