A body of mass m has weight
F = GMm/r²
on the surface of the Earth, where G is the universal gravitational constant, M is the mass of the Earth, and r is it's radius.
If the weight is to be halved, then we have
1/2 F = 1/2 GMm/r² = (1/√2)² GMm/r² = GMm/(√2 r²)
so the distance between the body and the planet's center needs to be
√2 × 6.4 × 10⁶ m ≈ 9.1 × 10⁶ m
What are 5 examples of expansion and contraction? What are their benefits?
Answer:
If you hold a hot glass tumbler under cold water, it will crack
Explanation:
This is because the outer surface of the glass comes in direct contact with cold water and contracts more compared to the inner surface.
This is one example I know.
A medium-sized apple provides about 95.0 Calories of energy.
(a) Convert 95.0 Cal to joules.
(b) Suppose that amount of energy is transformed into kinetic energy of a 2.03 kg object initially at rest. Calculate the final speed of the object (in m/s).
(c) If that same amount of energy is added to 3.79 kg (about 1 gal) of water at 21.7°C, what is the water's final temperature (in °C)? The specific heat of water is
c = 4186
J
(kg · °C)
.
A. 95 Cal is equivalent to 397480 J
B. The final speed of the object is 625.78 m/s
C. The final temperature of the water is 46.8 °C
A. Converting 95 Cal to Joules
1 Cal = 4184 J
Therefore,
95 Cal = 95 × 4184
95 Cal = 397480 JThus, 95 Cal is equivalent to 397480 J
B. Determination of the speed of the object
Kinetic energy (KE) = 397480 J
Mass (m) = 2.03 Kg
Velocity (v) =?KE = ½mv²
397480 = ½ × 2.03 × v²
397480 = 1.015 × v²
Divide both side by 1.015
v² = 397480 / 1.015
Take the square root of both side
v = √(397480 / 1.015)
v = 625.78 m/sTherefore, the speed of the object is 625.78 m/s
C. Determination of the final temperature of the water
Mass of water (M) = 3.79 kg
Initial temperature of water (T₁) = 21.7 °C
Specific heat capacity of water (C) = 4186 J/KgºC
Heat (Q) = 397480 J
Final temperature (T₂) =?Q = MC(T₂ – T₁)
397480 = 3.79 × 4186 (T₂ – 21.7)
397480 = 15864.94 (T₂ – 21.7)
Clear the bracket
397480 = 15864.94T₂ – 344269.198
Collect like terms
397480 + 344269.198 = 15864.94T₂
741749.198 = 15864.94T₂
Divide both side by 15864.94
T₂ = 741749.198 / 15864.94
T₂ = 46.8 °CTherefore, the final temperature of the water is 46.8 °C
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Explain how bats use ultrasound to catch a prey
Answer:
Ultrasound is used by bats to navigate (move) and catch prey. Ultrasonic squeaks are produced by bats. These squeaks ponder prey and then return to the bat's ear. This provides bats with information about the location of prey, allowing them to catch it.
Explanation:
There are seven fundamental quantities in physics. true or false
Answer:
True
Explanation:
mass, length, time, electric current, temperature, luminous intensity and amount of substance
How do the directions of these two post-explosion vectors compare?
Answer:
o o o G 30 30.0 30.0 5. How do the direction of these two post-explosion momentum vectors compare? 6. Use your answer to question +4, your answer to question #5, and the fact that momentum is a vector quantity to determine the post-explosion momentum of the system of two carts (i.e. the vector sum of the momentum of the two carts). 7. Use your answers to question #3 and question "6 to explain how one can say that system momentum is conserved in an explosion? S. Pick three different trials that have a different mass ratio. For each trial that you pick, fill in the table below. V/V Trial m/m 9. Analyze the data in the table above. State a rule that describes how to predict the relative velocities of the two carts after the explosion
Explanation:
The force of gravity between two students is 3.5E-8 Newtons. If
the first students mass is 71.0 kg and the second students mass is
67.0 kg, how far apart must the students be from each other?
Answer:
r = 9521.29
Explanation:
Given:
Gravitational Force = [tex]3.5E-8[/tex] (Fg)
Student Mass 1 = 71 kg (M)
Student Mass 2 = 67kg (m)
Gravitational constant = [tex]6.67E-4[/tex] (G)
[tex]Fg=\frac{GMm}{r^{2} }[/tex]
[tex]r^{2} =\frac{GMm}{Fg}[/tex]
[tex]r^{2} =\frac{(6.67E-4)*(71)*(67)}{3.5E-8}[/tex]
[tex]r= \sqrt{90654828.57}[/tex]
[tex]r=9521.282927[/tex]
r = 9521.29
What is the power of a crane that lifts a 120 N load 14 m in 3.6 s?
Answer:
1000n
Explanation:
hop it helps
Answer:
467 watts
Explanation:
Power is = to work/time. Work is = to force (N) times distance from starting point. So first, calculate work. 120N x14m , which is equal to 1680 joules. so then plug it into your power formula. 1680 joules/ 3.6 seconds= 466.666...7, which rounds to 467 watts.
3. What will happen when a light bulb is removed from the circuit below?
A .The remaining light bulbs go out.
B. The remaining light bulbs witdim
C.The brightness of the remaining light bulbs will not change
D.The remaining light but will brighten
Answer:
it's A.The remaining light bulbs go out.
17. Explain how to calculate the density of an irregular shaped object such as a
rock.
Your
answer
Answer:
Q andA : Density of an irregular shape
1: the density of something is just th mass divided by the volume:D=m\V
2: As described in the previous question the density is given by D= M\V
3: the density just means how much mass per volume.
In 2-3 sentences, summarize the evidence for the big bang theory. Include the following vocab words in your response: Redshift, Galaxies, Expansion, Cosmic microwave background.
What is the net force needed to accelerate a 1 kg textbook with an acceleration of
4 m/s2
Answer:
4 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question
mass = 1 kg
acceleration = 4 m/s²
We have
force = 1 × 4 = 4
We have the final answer as
4 NHope this helps you
what’s the energy of motion
A.thermal energy
B. temperature
C. heat
D. kinetic energy
E.potential energy
Answer:
D. Kinetic energy
hope this helps
Answer:
D. Kinetic energy
Explanation:
The combination of kinetic energy and potential energy is known as mechanical energy
[tex]{ \tt{}}[/tex]
if a firework on the fourth of july is fired upwards from the ground with an initial speed of 200 m/s...
a. What is the total time the rocket spends ascending towards the sky?
b. How high up from the ground does the rocket travel?
(a) The time spent by the rocket ascending towards the sky is 20.4 s.
(b) The height traveled by the rocket from the ground is 2,040.8 m.
The given parameters:
initial speed of the firework, [tex]v_o[/tex] = 200 m/sThe time spent by the rocket ascending towards the sky is calculated as follows;
[tex]v_f = v_0 -gt[/tex]
where;
[tex]v_f[/tex] is the final velocity of the rocket at the maximum height
[tex]0 = v_0 -gt\\\\gt = v_0\\\\t = \frac{v_0}{g} \\\\t = \frac{200}{9.8} \\\\t = 20.4 \ s[/tex]
The height traveled by the rocket from the ground is calculated as follows;
[tex]h = v_0t - \frac{1}{2} gt^2\\\\h = 200(20.4) \ - \ \frac{1}{2} (9.8)(20.4)^2\\\\h = 2,040.8 \ m[/tex]
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the weight of a box having of 100 kg is __n
Answer:
mom
Explanation:
Which vehicle will have more kinetic energy, a parked
semitruck or a car moving at 50 km/h?
Answer:
a semi truck
Explanation:
Two objects feel 200 N of force due to gravity between them. If the mass of one object was doubled, what would be the new force of gravity?
Answer:
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4. A net force of 15 N is exerted on a book to cause it to accelerate at a rate of 5 m/s2. Determine the mass of the
book.
a. 0.33 kg
b. 2 kg
c. 3 kg
d. 45 kg
Answer:
3 kgExplanation:
The mass of an object given it's force and acceleration can be found by using the formula
[tex]m = \frac{f}{a} \\ [/tex]
f is the force
a is the acceleration
From the question we have
[tex]m = \frac{15}{5} = 3 \\ [/tex]
We have the final answer as
3 kgHope this helps you
The symbols used in language have no direct relationship between the word and the object or idea.
Answer:
The symbols used in language have no direct relationship between the word and the object or idea. Underextension in language occurs when a child incorrectly uses one word to describe other objects or actions that are similar to that word. ... Morphemes are the smallest distinctive sound units in a language.
Explanation:
Answer:
True
Explanation:
e2021
An object has a acceleration of 10m/s^2 if the net force acting on this object were halved, what would the new acceleration of the object be
Answer:
As we increase the force on an object the acceleration increases proportionally. Since the mass does not change as the acceleration increases, we can say that force is equal to acceleration. Therefore, if you double the force you double the acceleration. ... Therefore, mass is inversely proportional to accelerationExplanation:I hope I helped you #learn from khabyIf an object has an acceleration of 10m/s^2 if the net force acting on this object were halved, then the acceleration of the object would become half as well because the force and the acceleration are directly proportional.
What is acceleration?
The rate of change of the velocity with respect to time is known as the acceleration of the object.
As given in the problem an object has an acceleration of 10 m/s^2 if the net force acting on this object were halved, then the new acceleration of the object be 5 meters / second².
Force = mass × acceleration
As the force is directly proportional to the acceleration of the object keeping the mass of the object constant.
Thus, the acceleration of the object would become 5 meters / second².
To learn more about acceleration from here, refer to the link;
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An athlete spins in a circle and throws a 1.6-kg discus. The radius of the discus's path is 1.0 m, and he releases it with an angular speed of 15.0 rad/s. The athlete spins for a total of 1.2 s before releasing the discus.
– What is the tangential speed of the discus at release?
– What is the centripetal acceleration of the discus?
– What is the centripetal force on the discus?
giving Brainliest for full and proper answers! thank you for anyone who tries to help/explain :)
(a) The tangential speed of the discus at the release is 15 m/s.
(b) The centripetal acceleration of the discus is 225 m/s².
(c) The centripetal force on the discus is 360 N.
The given parameters;
mass of the discus, m = 1.6 kgradius of the path, r = 1 mangular speed, ω = 15 rad/stime of motion, t = 1.2 sThe tangential speed of the discus at the release is calculated as follows;
[tex]v = \omega r\\\\v = 15 \ rad/s \ \times 1 \ m\\\\v = 15 \ m/s[/tex]
The centripetal acceleration of the discus is calculated as follows;
[tex]a_c = \frac{v^2}{r} \\\\a_c = \frac{15^2}{1} \\\\a _c = 225 \ m/s^2[/tex]
The centripetal force on the discus is calculated as follows;
[tex]F_c = ma_c\\\\F_c = 1.6 \times 225\\\\F_c = 360 \ N[/tex]
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is there friction when an object stands still?
Answer:
No
Explanation:
The gravitational force always acts opposite the direction of motion. Air resistance only acts on objects that are moving. The force of friction does not exist when an object is stationary. All objects experience a normal force.
btw pls mark as branliest! Thanks!
A 15-volt power supply is used to power a circuit with two resistors in series. The voltage drop across R1 is 5 volts. What is the voltage drop across R2?
5 volts
20 volts
10 volts
0 volts
A 10-volt power supply is used to power a circuit, producing a current of 2 A. If total resistance of circuit is doubled, how will this affect the circuit?
A. Voltage drop across each resistor will all double to match change in resistance
B. The current will change so that the voltage drop for a complete loop through the circuit becomes 5 V.
C. The current will change so that the voltage drop for a complete loop through the current remains at 10 V.
D. The voltage drop across each resistor will be unaffected because each will remain at 0 V
(1) The voltage drop in the second resistor is 10 V.
(2) The voltage drop across each resistor will all double to match change in resistance.
The given parameters:
voltage in the circuit, V = 15 Vvoltage drop in first resistor, V1 = 5 VThe total voltage in a series circuit is given as;
[tex]V_T = IR_1 + IR_2\\\\V_T = V_1 + V_2[/tex]
The voltage drop in the second resistor is calculated as follows;
[tex]V_2 = V_T - V_1\\\\V_2 = 15 - 5\\\\V_2 = 10 \ V[/tex]
(2)
voltage supply, V = 10 Vcurrent, I = 2 AThe resistance of the circuit:
[tex]R = \frac{V}{I} = \frac{10}{2} = 5 \ ohms[/tex]
When the total resistance is doubled;
In series circuit, the current in each resistor is constant, the voltage drop is calculated as;
[tex]V = IR\\\\V = 2 (5+5)\\\\V = 20 \ V[/tex]
Thus, we can conclude that the voltage drop across each resistor will all double to match change in resistance.
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An object with a kinetic energy of 1125J has a
mass of 250kg. What is its velocity?
Answer:
3 m/s
Explanation:
Kinetic energy of a body is given by the formula [tex]K= {1\over2} m v^2[/tex]. Let's replace everything we have and solve for what's left.
[tex]1125J = {1\over2}\cdot 250 kg \cdot v^2[/tex]
[tex]v^2 ={ 1125 \cdot 2 \over 250}}[/tex] or [tex]v= 3 {m \over s}[/tex]
eeg measures the synchronous electrical activity of the _____.
a Name the store of energy when you are
pressing downwards on the stretchy skin
of the trampoline
A 10 kg box is motionless on the floor. If the coefficient of static friction is 0.4 and
the coefficient of kinetic friction is 0.3 (between the box and the floor), find the
force required to start the block in motion
The force required to start the given box in motion is 39.2 N.
The given parameters;
mass of the box, m = 10 kgcoefficient of static friction, [tex]\mu_s[/tex] = 0.4coefficient of kinetic friction [tex]\mu_k[/tex] = 0.3The force required to start the box in motion must be greater or equal to static frictional force.
The magnitude of the force is calculated as follows;
[tex]F = \mu_s F_n\\\\F = \mu_s mg\\\\F = (0.4) \times (10) \times (9.8)\\\\ F = 39.2 \ N[/tex]
Thus, the force required to start the box in motion is 39.2 N.
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Answer:
Explanation:
uk=0.3
us==00.4
f=10
ground acceleration =9.8
f=10×0.4×9.8=39.2
a 1 kg object accelerates at a rate of 5m/s2. calculate the net force on the object and explain how its motion is changing
Answer:
net force is 5N
Explanation:
Fnet= ma
Fnet= (1)(5)
Fnet= 5N
Fnet is for net force
name two possible ways in wivh fossils can be dated and define them
Answer:
There are two main methods determining a fossils age, relative dating and absolute dating. Relative dating is used to determine a fossils approximate age by comparing it to similar rocks and fossils of known ages.
Mark me with a crown
Answer: dna
Explanation:
sorry if this is wrong lol
Look at the circuit below. What is the potential difference across lamp 2?
The potential difference across lamp #2 is 4.5 volts.
Make a
claim about whether a mixture could be made
up of only elements and no compounds.
Summarize evidence to support the claim and
explain your reasoning.
Answer:
Yes, a mixture can be made up of just elements and no compounds. The elements never experiance a chemical interaction and stay only in physical contact with each other.
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