Answer:
70 m/s
Explanation:
The watermelon will go pass superman at the instance when they are at the same distance from the top of the building.
Superman flies by with a constant velocity = 35 m/s
This distance where he will be overtaken by the watermelon will be = vt
where v is his velocity
t is the time the watermelon and superman are side by side
For the watermelon,
the initial velocity u = 0 m/s (since it starts from rest)
The distance where it is side by side with superman will be gotten from the equation
s = ut + [tex]\frac{1}{2}gt^2[/tex]
where is the distance down at which they meet
g is the acceleration due to gravity = 9.81 m/s^2
t is the time they meet
ut = 0, since u = 0 m/s
Equating this distance that they meet, we'll have
vt = [tex]\frac{1}{2}gt^2[/tex]
substituting values, we have
35t = [tex]\frac{1}{2}*9.81*t^2[/tex]
35 = 4.905t
t = 35/4.905 = 7.135 s
The watermelon's speed at this instant can be calculated from
v = u + gt
where v is the velocity at this instant
u = initial speed of the watermelon = 0 m/s
g is the acceleration due to gravity = 9.81 m/s^2
t is the time they meet side by side = 7.135 s
substituting values, we have
v = 0 + 9.81(7.135)
v = 69.99 ≈ 70 m/s
Which situation is most likely to lead to improving a scientific theory?
A. Analyzing the history of how a theory was developed
O B. Gathering scientists for a brainstorming session
c. Increasing public awareness of the need for scientific research
O D. Performing experiments that have never been done before
SUBMIT
Performing experiments that have never been done before is most likely to lead to improving a scientific theory. The correct option is D.
What is scientific theory?A theory is a well-thought-out elaboration for natural-world observational data that has been built using the scientific process and incorporates many facts and hypotheses.
A theory not only helps to explain established information; it also allows scientists to predict what they will see if the hypothesis is correct.
Scientific theories can be tested. Emerging data should be consistent with an existing theory.
To improve a scientific theory, conduct novel experiments on it. This will provide greater clarity on the theory.
It may reveal the limitations of this theory, as well as aspects of the theory that can be improved.
Thus, the correct option is D.
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A car traveling at 50 km/h hits a bridge abutment. A passenger in the car moves forward a distance of 61 cm (with respect to the road) while being brought to rest by an inflated air bag. What magnitude of force (assumed constant) acts on the passenger's upper torso, which has a mass of 44 kg?
Answer:
6957.04N
Explanation:
Using
vf2=vi2+2ad
But vf = 0 .
So convert 50km/hr to m/s, and you need to convert 61 cmto m
(50km/hr)*(1hr/3600s)*(1000m/km) = 13.9m/s
61cm * (1m/100cm) = .61m
So n
0 = (13.9m/s)^2 + 2a(.61m)
a = 158.11m/s^2
So
using F = ma
F = 44kg(158.11m/s^2) = 6957.04N
Answer:
6.95 kN
Explanation:
Given that
Speed of the car, u = 50 kmph
Distance moved by the passenger, s = 61 cm = 0.061 m
Mass of the passenger, m = 44 kg
Converting the initial velocity from km/h to m/s, we have
50 kmph = 50 * 1000/3600
50 kmph = 13.89 m/s
Using one of the equations of motion,
v² = u² + 2as, where v = 0,making a the subject of formula
a = -u²/2s
a = -(13.89²) / 2 * 0.61
a = -192.93 / 1.22
a = -158 m/s²
The force acting on the passenger's leg, F = m.a, so
-F = 44 * -158
F = 6952 N, or 6.95 kN
Your office has a 0.025 m^3 cylindrical container of drinking water. The radius of the container is about 13 cm. Required:a. When the container is full, what is the pressure that the water exerts on the sides of the container at the bottom of the container above the atmospheric pressure? b. When the container is full, what is the pressure that the water exerts on the sides of the container halfway down from the top above the atmospheric pressure?
Answer:
a) 105935.7 Pa
b) 103630.35 Pa
Explanation:
The volume of the container = 0.025 m^3
The radius of the container = 13 cm = 0.13 m
We have to find the height of the tank
From the equation for finding the volume of the cylinder,
V = [tex]\pi r^2h[/tex]
where
V is the volume of the cylinder
h is the height of the cylinder
substituting values, we have
0.025 = 3.142 x [tex]0.13^2[/tex] x h
0.025 = 0.0531h
h = 0.025/0.0531 = 0.47 m
Pressure at the bottom of the tank P = ρgh
where
ρ is the density of water = 1000 kg/m^3
g is the acceleration due to gravity = 9.81 m/s^2
h is the depth of water which is equal to the height of the tank
substituting values, we have
P = 1000 x 9.81 x 0.47 = 4610.7 Pa
atmospheric pressure = 101325 Pa
therefore, the pressure in the tank bottom above atmospheric pressure = 101325 Pa + 4610.7 Pa = 105935.7 Pa
b) For half way down the container, depth of water will be = 0.47/2 = 0.235 m
pressure P = 1000 x 9.81 x 0.235 = 2305.35 Pa
This pressure above atmospheric pressure = 101325 Pa + 2305.35 Pa = 103630.35 Pa
(a) The pressure exerted by water on the sides of the container at the bottom is 4606 Pa.
(b) The pressure exerted by water on the sides of the container halfway down from the top is of 2303 Pa.
Given data:
The volume of cylindrical container is, [tex]V = 0.025 \;\rm m^{3}[/tex].
The radius of container is, r = 13 cm = 0.13 m.
(a)
When the container is full, the pressure that the water exerts on the sides of the container is given as,
[tex]P = \rho gh[/tex]
Here, [tex]\rho[/tex] is the density of water, g is the gravitational acceleration and h is the height of container and its value is obtained as,
[tex]V = \pi r^{2}h\\\\0.025= \pi \times (0.13)^{2} \times h\\\\h = 0.47 \;\rm m[/tex]
Then pressure is,
[tex]P = 1000 \times 9.8 \times 0.47\\\\P=4606 \;\rm Pa[/tex]
Thus, the pressure exerted by water on the sides of the container at the bottom is 4606 Pa.
(b)
For the ides of the container halfway down from the top, the height is,
h' = h/2
h' = 0.47/2 = 0.235 m
Then the pressure is obtained as,
[tex]P' = \rho \times g \times h'\\\\P' = 1000 \times 9.8 \times 0.235\\\\P'=2303 \;\rm Pa[/tex]
Thus, the pressure exerted by water on the sides of the container halfway down from the top is of 2303 Pa.
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A car passes point “A” and then 120 meters later. It’s velocity was measured 21 m/s. If it’s acceleration was constant at 0.853 m/s2. What was the car’s velocity at point “A”?
Recall that
[tex]{v_f}^2-{v_i}^2=2a\Delta x[/tex]
where [tex]v_i[/tex] and [tex]v_f[/tex] are the initial and final velocities, respecitvely; [tex]a[/tex] is the acceleration; and [tex]\Delta x[/tex] is the change in position.
So we have
[tex]\left(21\dfrac{\rm m}{\rm s}\right)^2-{v_i}^2=2\left(0.853\dfrac{\rm m}{\mathrm s^2}\right)(120\,\mathrm m)[/tex]
[tex]\implies v_i\approx\boxed{15.4\dfrac{\rm m}{\rm s}}[/tex]
(Normally, this equation has two solutions, but we omit the negative one because the car is moving in one direction.)
Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patterns on a screen a distance 6.00 m away from the slits.A. Which laser has its first maximum closer to the central maximum?B. What is the distance delta ymax-min between the first maxima (on the same side of the central maximum) of the two patterns?C. What is the distance Delta ymax-min between the second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum?
Answer:
Now
Using
ym = m x λ x L/d
therefore for each of first Max we have m =1
And laser 1 had
y = (d/20) x (6.0m)/d
y = 6.0m /20 = 0.3
Then laser 2 will be
y = 6.0m/15 = 0.4
y ( laser1 ) < y ( laser2 )
So the first maxima of laser 1 will be closer to the Central maxima
So
(0.4m -0 .3 m) = 0.1m
( C)
Now for laser 1 we say
y= 26.0 m / 20 = 0.6 m
Laser 2
We have
ym=(m+1/2) x λ x L/d
So
Because there is no central minimum the first minimum is at m = 0
We can way 3rd minimum is at m = 2
So
y = (2.5) x 6.0 / 15 = 1m
So
Δy= 1m - 0.6m = 0.4 m
4. I wonder if the amount of homework I complete has an effect on my science test scores. a. Question: b. Hypothesis + Prediction: c. Independent Variable (IV): d. Dependent Variable (DV): e. Controlling Variable (CV): f. Experiment:
Answer:
a. Question
Explanation:
The statement above is more of a question rather than a hypothesis or the other options. Consider, the statement has no direct initial assumption or hint of personally researching for answers.
In other words, the speaker could be asking another individual his opinion whether the amount of homework completed has an effect on science test scores.
What physical property of Earth gives rise to the seasons?
Answer:
Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.
Explanation:
4. What is the instantaneous acceleration at t= 10 s?
Answer:
I am fairly certain the answer is 2m/s^2
Explanation:
John is gliding along on his scooter at a speed of 2.8 m/s when
suddenly he collides with Sam who is walking around the corner. If
John is brought to rest in 0.15 s, what is his acceleration?
Answer: His acceleration is -18.66m/s^2
Explanation:
Ok, the initial speed is 2.8m/s. (we can define the initial direction as the positive direction).
And he wants to stop, so he must accelerate in the opposite direction as the initial movement, then we would have:
a(t) = -A.
So we have a constant, and negative acceleration.
Now, if we want to find the velocity we must integrate over time, and we will get:
v(t) = -A*t + V0
where V0 is the initial velocity, we know that it is 2.8m/s, and t is the time in seconds.
Then the velocity is:
v(t) = -A*t + 2.8m/s.
Now we know that John is brought to rest in 0.15 seconds after he starts slowing down, this means that at t = 0.15 seconds, his velocity is equal to zero.
v(0.15s) = 0m/s = -A*0.15s + 2.8m/s
2.8m/s = A*0.15s
2.8m/s/0.15s = 18.66m/s^2 = A.
So his acceleration is -A, then we have that:
His acceleration is -18.66m/s^2
An owl is carrying a mouse to the chicks in its nest. It is 4.00 m west and 12.0 m above the center of the 30 cm diameter nest and is flying east at 2.50 m/s at an angle 32° below the horizontal when it accidentally drops the mouse. Will it fall into the nest? Find out by solving for the horizontal position of the mouse (measured from the point of release) when it has fallen the 12.0 m.
Answer:
4.61 m away
Explanation:
No, the owl will not fall into the nest.
The vertical component of the velocity, v of mouse after travelling vertical distance of 12 m is given by
v² - (4 * sin 32)² = 2 * 9.81 * 12
v² - (4 * 0.53)² = 235.44
v² - 4.494 = 235.44
v² = 235.44 + 4.494
v² = 239.934
v = 15.49 m/s
The time taken to travel the said 12 m downwards =
(15.49 - 4 * sin 32) / 9.81
(15.49 - 4 * 0.53) / 9.81
(15.49 - 2.12) / 9.81
13.37 / 9.81 = 1.36 s
Horizontal distance traveled in this time = 4 * (cos 32) * 1.36
= 4 * 0.848 * 1.36
= 4.61 m
Therefore, the horizontal position of the mouse is 4.61 m away from the point of release.
Emily takes a trip, driving with a constant velocity of 85.5 km/h to the north except for a 22 min rest stop. If Emily's average velocity is 68.8 km/h to the north, how long does the trip take? Show your work
Answer:
1½ hours
Explanation:
Let the amount of time she drove at 85.5 km/hr be t, then
The distance that she rode would be 85.5 * t
This is means Emily has traveled the same distance at 68.8 km/hr without any stoppage whatsoever. Thus, we can create an equation as such
85.5 * t = 68.8 (t + 22/60), the 22/60 being, converting 22 minutes into hours. We proceed further as
85.5t = 68.8t + 1513.6/60, multiplying all sides by 60, we have
5130t = 4128t + 1513.6, now we collect like terms
5130t - 4128t = 1513.6
1002t = 1513.6
t = 1513.6/1002
t = 1.51 hrs, or in minutes, 1.51 * 60
t = 90.63 minutes. 1 hour and 36 minutes
So the total time the trip took, 22 minutes in addition, or say, 1 hour 58 minutes.
Part A
Suppose that you want to construct a line with slope m=3 that passes through the point (2,1). You would begin by setting up the equation
y=3x+b.
If you plug in the coordinates for any point on that line, the two sides of the equation will be equal. Once you've done this, you can solve for b. What is the value of b?
Express your answer as an integer.
Part B
Suppose that you want to find the equation for a line that passes through the two points (0,3) and (4,9). What is the slope of this line?
Express your answer numerically.
Answer:
a) b = -5
b) slope = 3/2
Explanation:
a) The equation of a line is given as y = mx + b, where m is the slope of the line and b is the intercept on the y axis.
Given that y = 3x + b and it passes through the point (2, 1). Hence when x = 2, y = 1. Therefore, substituting for x and y:
1 = 3(2) + b
1 = 6 + b
b = 1 - 6
b = -5
b) The equation of a line passing through two points ([tex]x_1,y_1[/tex]) and [tex]x_2,y_2[/tex] is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The equation of the line passing through the two points (0,3) and (4,9) is:
[tex]y-3=\frac{9-3}{4-0}(x-0)\\ \\y-3=\frac{3}{2}x\\ \\y = \frac{3}{2}x+3[/tex]
Comparing y = (3/2)x + 3 with y = mx + b, the slope (m) is 3/2
calculate the rate of change (slope) of the graph shown.
Answer:5
Explanation:
You do change in y over change in X
A tennis ball is shot vertically upward inside a tower with an initial speed of
20.0 m/s. Neglect air resistance. Approximately how long does it take the tennis ball to reach its maximum height?
0.50 s
2.04 s
4.08 s
6.08 s
9.80 s
Determine the velocity of the ball 3.0 s after it is thrown
9.40 m/s, downward
9.40 m/s, upward
29.4 m/s, downward
38.8 m/s, upward
38.8 m/s, downward
The ball's height at time t is
y = (20.0 m/s) t - 1/2 g t²
where g is the acceleration due to gravity, with magnitude 9.80 m/s².
Also, recall that
v² - u² = 2 a ∆y
where u is the initial velocity, v is the final velocity, a is the acceleration, and ∆y is the change in height. Let Y be the maximum height. At this height, v = 0, so
- (20.0 m/s)² = 2 (-g) Y
==> Y ≈ 20.408 m
Plug this into the first equation and solve for t :
Y = (20.0 m/s) t - 1/2 (9.80 m/s²) t²
==> t ≈ 2.04 s
The ball's velocity at time t is
v = 20.0 m/s - g t
After t = 3.0 s, its velocity will be
v = 20.0 m/s - (9.80 m/s²) (3.0 s)
v = -9.40 m/s
or 9.40 m/s in the downward direction.
measurement conversions [metric to metric] 568 cm = m
Answer:
5.68 meters
Explanation:
hope this helps!
Answer:
5.68
Explanation:
to convert cm to m you move the decimal point 2x to the left
What is the difference between an observation and an inference?
Explanation:
observation is something what you could observe from your organs like eyes ears etc and also it is what you observed during an event for an experiment but inference is what you decide to do after observation or an event.
the act of inferring (to derive by reasoning). Observation = an act or instance of noticing or perceiving.
Thank u!
6. What IMFA holds the molecules of water together?
A. hydrogen bond
C. ionic bond
B. nonpolar covalent bond
D. polar covalent bond
What elements on the periodic table are metalloids?
Answer:
The term 'mettaloid' is normally applied to a group of between six and nine elements ;
BoronSilicon GermaniumArsenicAntimonyTellurium, and possibly BismuthPolonium Astatineare found near the center of the P-block or main block of the periodic table.
Explanation:
A group of engineers is preparing a satellite to land by moving it 10% closer to
Earth in each rotation. Which statement is correct about the rotational inertia of
the satellite? (1 point)
O Rotational inertia does not change because it is conserved.
Rotational inertia increases proportional to the decrease in the
radius of rotation.
Rotational inertia first decreases and then increases as the
satellite is ready to land.
O
Rotational inertia decreases proportional to the decrease in the
radius of rotation.
Answer:
Rotational inertia decreases proportional to the decrease in the radius of rotation.
Explanation:
The rotational inertia decreases proportional to the decrease in the
radius of rotation.
Rotational inertia is directly proportional to the angular momentum of the object and inversely proportional to its angular velocity.
[tex]I = \frac{L}{\omega}[/tex]
where;
I is the rotational inertiaL is the angular momentumω is the angular speedThe angular momentum is given as;
[tex]L = mvr[/tex]
where;
m is the mass of the objectv is the velocity of the objectr is the radius of the objectThe new rotational inertia equation becomes;
[tex]I = \frac{mvr}{\omega}[/tex]
From this equation, we can observe that the rotational inertia is directly proportional to the radius of the object.A 10% closer to the Earth, means a decrease in the radius of the satellite by 10%.
Thus, a decrease in the rotational inertia as well.
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Part A.)Six boxes held at rest against identical walls.
Rank the boxes on the basis of the magnitude of the normal force acting on them.
Rank from largest to smallest. To rank items as equivalent, overlap them.
1) 130N--->7kg
2) 150N--->1kg
3) 150N--->7kg
4) 120N--->3kg
5) 140N--->5kg
6) 140N--->3kg
(Since the boxes are at rest, Newton's 2nd law dictates that the horizontal forces on each box must add up to zero. You can use this information to determine the normal forces. If two boxes are both pushed against the wall by the same force, then they should experience the same normal force.)
Part B.) Rank the boxes on the basis of the frictional force acting on them.
Rank from largest to smallest. To rank items as equivalent, overlap them.
1) 130N--->7kg
2) 150N--->1kg
3) 150N--->7kg
4) 120N--->3kg
5) 140N--->5kg
6) 140N--->3kg
Answer:
Explanation:
When a body is held against a vertical wall , to keep them in balanced position , normal force is applied on their surface . this force creates normal reaction which acts against the normal force and it is equal to the normal force as per newton's third law . Ultimately friction force is created which is proportional to normal force and it acts in vertically upward direction . It prevents the body from falling down .
Hence normal force = reaction force .
From second law also net force is zero , so if normal force is N and reaction force is R
R - N = mass x acceleration = mass x 0 = 0
R = N .
Ranking normal force from highest to smallest
150 N , 130 N , 120 N
B )
Frictional force is equal to the weight of the body because the body is held at rest .
Ranking of frictional force form largest to smallest
7 kg , 5 kg , 3 kg , 1 kg .
Here frictional force is irrespective of the normal force acting on the body because frictional force adjusts itself so that it becomes equal to weight in all cases here because it always balances the weight of the body .
Based on the magnitude of normal force acting on them, the ranking from largest to smallest will be:
150N--->7kg = 150N--->1kg.140N--->5kg = 140N--->3kg.130N--->7kg. 120N--->3kg.Based on the masses, the frictional force acting on the boxes will be such that the ranking from largest to smallest will be:
150N--->7kg = 130N--->7kg. 140N--->5kg 140N--->3kg = 120N--->3kg 150N--->1kgNormal force magnitudeThe normal forces acting on the box will depend on the force acting on the box. This means that the larger the force acting on the box, the larger the normal force.
This is why the box with a force of 150 N will be have the highest normal force acting on it.
Frictional force magnitudeThe frictional force acting on the boxes will depend on the mass. Boxes will lager masses will have more frictional force acting on them.
The boxes of 7kg will therefore have the largest frictional forces acting on them.
Find out more on frictional forces at https://brainly.com/question/24386803.
what is the net force on a backpack with a mass of 12.0 kg and an acceleration of 0.5 m/s^2?
Answer:
The answer is
6.0 NExplanation:
The net force acting on an object when given the mass and acceleration can be found by using the formula
Force = mass × accelerationFrom the question
mass of backpack = 12 kg
acceleration = 0.5 m/s²
So the force is
Force = 12 × 0.5
We have the final answer as
6.0 NHope this helps you
How does the lighter material of the bamboo affect the force created by the rider on the bike?
Newton's second law allows us to find the result for the effect of building a lower mass bike is:
An increase in the acceleration of the bicycle.
Newton's second law states that force is equal to the product of mass and acceleration of the body.
∑ F = m a
Where the bold letters indicate vectors, m is the mass and a the acceleration.
They indicate that the bicycle is made of bamboo, so it has less mass, therefore the acceleration is:
[tex]a = \frac{\sum F}{m}[/tex]
if the mass decreases, more acceleration is recorded, therefore from the kinematic reactions the bicycle reaches higher speeds.
v = v₀ + a t
The bicycles parts of the rest.
v = a t
In conclusion, using Newton's second law we can find the result for the effect of building a bicycle with alower mass is:
An increase in the acceleration of the bicycle.
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A two-liter bottle is one-fourth full of water and three-quarters full of air. The air in the bottle has a gage pressure of 340 kPa. The bottle is turned upsidedown and the cap is released so that the water is rapidly forced out of the bottle. If the air in the bottle undergoes an adiabatic pressure change, what is the pressure in the bottle when the bottle is five-sixths full of air
Answer:
The value is [tex] P_G = 2.925 *10^{5} \ Pa[/tex]
Explanation:
From the question we are told that
The volume of the bottle is [tex]v = 2 \ L = 2 * 10^{-3} \ m^3[/tex]
The gauge pressure of the air is [tex]P_g = 340 \ kPa = 340 *10 ^{3} \ Pa[/tex]
Generally the volume of air before the bottle is turned upside down is
[tex]V_a = \frac{3}{4} * V[/tex]
[tex]V_a = \frac{3}{4} * 2 *10^{-3}[/tex]
[tex]V_a = 0.0015 \ m^3 }[/tex]
Generally the volume air when the bottle is turned upside-down is
[tex]V_u = \frac{5}{6} * 2 *10^{-3}[/tex]
[tex]V_u = 0.00167 \ m^3 [/tex]
From the the mathematical relation of adiabatic process we have that
[tex]P_g * V_a^r = P_G * V_u^r[/tex]
Here r is a constant with a value r = 1.4
So
[tex] 340 *10 ^{3} * 0.0015^{1.4} = P_G * 0.00167^{1.4}[/tex]
[tex] P_G = 2.925 *10^{5} \ Pa[/tex]
Which formula is used to find an object's acceleration?
Answer:
The answer is C.
Explanation:
The volume of water and an egg in a graduated beaker is 200mL. After the egg is removed the volume of the water is found to be 125mL . What is the volume of the egg in cm ^3
Answer:
75 cm³
Explanation:
The volume of the egg is equal to the volume of the egg and water minus the volume of the water.
V = 200 mL − 125 mL
V = 75 mL
V = 75 cm³
Answer:
75 cm
Explanation:
The equation would be 200ml -125 ml thus finding the volume of the egg.
The centroid of the plane region shown is at c. use the method of composite area to determine the radius (R)? please someone help me i nedd your helps guys please!
A train 4.00 3 102 m long is moving on a straight track with a speed of 82.4 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 16.4 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the width of the crossing.
Answer:
The value is [tex]t =29.2 \ s [/tex]
Explanation:
From the question we are told that
Generally the average velocity of the train is mathematically represented as
[tex]v = \frac{u + v}{2}[/tex]
substituting 82.4 km/h for u and 16.4 km/h. for v
[tex]v = \frac{82.4 + 16.4}{2}[/tex]
[tex]v = 49.4 \ km/h[/tex]
Generally the time taken is mathematically represented as
[tex]t = \frac{ L}{v}[/tex]
substituting 49.4 \ km/h for v and [tex]4.00 * 10^2 \ m = 0.400 \ km[/tex]
[tex]t = \frac{ 0.400}{49.4}[/tex]
[tex]t = 0.00809 \ h [/tex]
converting to seconds
[tex]t = 0.00809 * 3600 [/tex]
[tex]t =29.2 \ s [/tex]
Which of the following BEST explains the energy transformation that takes place when a battery alarm clock goes off.
A. electrical energy --> chemical energy --> sound energy
B. electrical energy --> chemical energy --> mechanical energy --> sound energy
C. chemical energy --> electrical energy --> mechanical energy --> sound energy
D. it is impossible to tell without knowing what type of battery
I think it might be Either A or B im thinking B
In a circus act, an acrobat rebounds upward from the surface of a trampoline at the exact moment that another acrobat, perched 9.0 m above him, releases a ball from rest. While still in flight, the acrobat catches the ball just as it reaches him.Required:If he left the trampoline with a speed of 5.6 m/s, how long is he in the air before he catches the ball?
Answer:
1.6 secs
Explanation:
In a circus act, an acrobat upwards from the surface of a trampoline
At that same moment another acrobat perched 9.0m above him
A ball is released from rest
While still in motion the acrobat catches the ball
He left the ball with a trampoline of 5.6m/s
Since the ball is falling downwards from a distance then acceleration will be negative
a= -9.8
s= d
s= 1/2at^2
= 1/2 × (-9.8)t^2
= 0.5× (-9.8)t^2
d = -4.9t^2
Therefore the time the acrobat stays in the air before catching the ball can be calculated as follows
9 - 4.9t^2= 5.6t + 1/2(-9.8)t^2
9 - 4.9t^2= 5.6t + (-4.9)t^2
9 - 4.9t^2= 5.6t - 4.9t^2
9= 5.6t
t= 9/5.6
t= 1.6 secs
Which is larger, the Sun's pull on Earth or Earth's pull on the Sun?
a. The Sun's pull on Earth is twice as large as Earth's pull on the much larger Sun.
b. They pull on each other equally.
c. The Sun's pull on Earth is larger.
d. Earth's pull on the Sun is larger.
e. There is no pull or force between Earth and the Sun.
At the time when the sun pulls on earth should be large so it should be pulled on each other equally.
Gravitational force:Here the gravitational force that lies between two masses should be proportional with respect to the product of mass that should be divided via the square of the distance that lies between them. The acceleration should be measured when the force should be divided by the mass. Here the two forces should be equal and opposite
Therefore, the option b is correct.
Learn more about earth here: https://brainly.com/question/4346822
