The maximum angle theta to which the box of sand with embedded projectile swings is 20.7 degrees, and the energy lost after impact is 99.8%.
Given quantities:
QM(1)= 2oz = (2/16)lb
QM(2)= 50 lb
U= 2000 ft/sec
r= 6ft
Conservation of linear momentum:
G(1)=G(2)
m1v+m2(o)= (m1+m2)U^1
U^1 is the velocity of box and bullet immediately after impact
U^1= -m1v/(m1+m2)
After impact, conservation of total energy:
in U(1-2)=0, Tension does not work
= -1/2 (m1+m2)(U^1)^2 + (M1+M2)Qh= 0
- 1/2 (4.99 ft/sec)^2 + 32.2 ft/sec^2 6ft (1-cos theta)=0
{Theta= 20.7}
Energy lost in impact:
Final energy: (m1+m2)Qr (1-cos theta)= 19.248ft -lb
Initial energy: 1/2 mv^2= 7763.98 ft-lb
Energy loss: 7763.90- 19.248/7763.98 x 100%
= 99.8%
Therefore, the total percentage of energy lost after impact is 99.8% and the value of theta is 20.7 degrees.
Given complete question:
The ballistic pendulum is a simple device to measure prohectile velocity v by observing the maximum angle theta to which the box of sand with embedded projectile swings. Calculate the angle theta if the 2-oz projectile is fired horizontally into the suspended 50lb box of sand with a velocity v = 2000ft/sec. Also find the percentage of energy lost during impact.
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Which of the following statements is correct about the charge of an atom?A.The charge of an atom depends on the number of neutrons.B.The charge of an atom depends on the number of electrons and the number of protons.C.The charge of an atom depends only on the number of protons.D.The charge of an atom depends only on the number of electrons.
Electron has negative charge and proton have positive charge.
Neutrons do not possess any charge.
Thus, the charge of an atom depends on the number of electrons and the number of protons.
Draw a electric circuit powered by 3 cells with a light, a
motor and a resistor that are in parallel, with a switch that turns
all of them on or off, with a voltmeter measuring the voltage of
the 3 cells and an ammeter measuring the current flowing into
the light
Answer:
See sketch below
Explanation:
Here is a quick sketch:
two balls of masses m1 and m2 are moving along a line on frictionless surface with velocities v1 and v2. mass m1 collides elastically with m2. what is the center of mass velocity v cm of this system of two balls after collision?
The center of mass velocity [tex]v_{CM}[/tex] of this system of two balls of masses m1 and m2 with velocities v1 and v2 after collision is ( m1 v1 + m2 v2 ) / ( m1 + m2 )
p = m v
p = Momentum
m = Mass
v = Velocity
For ball 1,
m = m1
v = v1
p1 = m1 v1
For ball 2,
m = m2
v = v2
p2 = m2 v2
Center of mass velocity, [tex]v_{CM}[/tex] = Total momentum / Total mass
Total momentum = p1 + p2
Total mass = m1 + m2
[tex]v_{CM}[/tex] = ( p1 + p2 ) / ( m1 + m2 )
[tex]v_{CM}[/tex] = ( m1 v1 + m2 v2 ) / ( m1 + m2 )
Therefore, the center of mass velocity [tex]v_{CM}[/tex] of this system of two balls is
[tex]v_{CM}[/tex] = ( m1 v1 + m2 v2 ) / ( m1 + m2 )
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As a battery is used to charge a capacitor, does the overall charge inside the battery get smaller, greater, or stay the same?.
When a battery is used to charge a capacitor, does the battery's total charge get smaller.
What is capacitor?A device without an element is referred to as a capacitor. The capacitance of a capacitor is defined as the ratio of the charge stored in either of its conductors to the potential difference between them. It is assumed that an earthed conductor's capacitance will visibly rise when it is moved close to another conductor in order for a capacitor to work. As a result, a capacitor has two plates with equal and opposing charges that are spaced apart from one another.
When a battery is used to charge a capacitor, electrons that will eventually gather on one plate and become negatively charged are given energy. The opposite plate then acquires a positive charge.
Additionally, this electron is not coming from a battery. When a battery is discharged, its energy has been consumed.
Therefore, while charging a capacitor, the battery's overall charge remains constant.
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5. Ocean temperatures are increasing under climate change. What effect do you think this might have on the biological pump?
If ocean temperatures are increasing under climate change, then it might alter the carbon cycle and therefore it may have negative outcomes on the biological pump.
What does the biological pump mean?The term biological pump makes reference to the mechanism by which inorganic carbon atoms can be fixed into organisms due to photosynthetic processes, which is key to maintaining the homeostasis of the biosphere.
Therefore, with this data, we can see that the increase in ocean temperature may impact on the state of equilibrium of the biosphere by altering the carbon cycle and consequently affecting the biological pump.
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A baseball is thrown straight up into the sky. What type(s) of energy is (are) present when the baseball reaches the apex of the throw
O GPE and KE
O entirely KE
O mostly GPE and a little KE
O entirely GPE
entirely KE type of energy is present when the baseball reaches the apex of the throw.
How much power is expended when tossing a baseball?Motion is created by kinetic energy. Kinetic energy is produced by the players who swing the bat and throw the ball, and it is present in both the swinging bat and the pitched ball.
The ball will only have kinetic energy when it is thrown since the would be zero (taking reference at the same position). The speed of the ball, or its kinetic energy, diminishes as it rises, but its height, or its potential energy, increases.
The ball's kinetic energy is dwindling and its gravitational potential energy is rising as it ascends. The cannon ball's kinetic energy is zero when it reaches the top of its arc.
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a 1000-kg car experiences a net force of 9500 n while slowing down from 30 m/s to 15.9 m/s. how far does it travel while slowing down?
30 m (rounded to one powerful player) (rounded to one significant figure). Negative displacement indicates a slowdown of the vehicle.
What is the easiest way to define a force?The definition of force in physics is: The pushing or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of the a body. It has a direction and a magnitude.
With an example, what is force?Force: Force is used to indicate a body's tendency to change or alter its state as a result of an external cause. When a force is applied, the body also can alter its size, shape, and motion. kicking the ball, pressing and pulling on the door, or churning bread are a few example.
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Why does the brightness of a bulb not change noticeably when you use longer copper wires to connect it to the battery?.
Very little energy is dissipated in the thick connecting wires.
Little or no electricity is dissipated within the thick connecting wires.
As greater bulbs are added to the collection circuit the intensity or brightness of the bulbs decreases. The light is dimmer because much less present day flows through every bulb. that is because including more bulbs in a sequence way including extra resistance. In a parallel circuit, the present day flows thru separate branches.
If every other bulb is added to some other department the present day will ought to follow an extra course. but, the battery or generator produces a constant voltage, so the current thru the unique lamp and its brightness remain unchanged. Incandescent bulbs related in parallel skip the identical amount of contemporary and therefore shine equally brightly. getting rid of a bulb does no longer extinguish other bulbs.
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if the absolute temperature of a black body is doubled,how is the total emissive power affected?
if the dark body's absolute temperature doubles. Power will be released. Consequently, a factor of 16 increase in power radiation will occur.
What Happens if you double the Temperature of a Blackbody?The temperature is T. (measured in Kelvins). This equation shows that the energy a blackbody emits per square centimeter increases by 24 = 2x2x2x2 = 16 for every doubling of its temperature. Thus, a blackbody emits 16 times more energy per unit area at 5000 K than it does at 2500 K, for instance. The quantity of energy emitted by a blackbody depends on its temperature, and an ideal blackbody absorbs and emits all incident radiation at all wavelengths. When an object's temperature rises, a common phenomena known as blackbody radiation is seen.To learn more about The Temperature of a Blackbody refer:
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Please Help, Please show all work! I would really appreciate it.
The acceleration of the object is obtained as -1 m/s^2.
What is the acceleration?We have to recall that acceleration would be defined as the rate at which the velocity can be changed at a given time. We should now look at the formula that could help us to get the acceleration of the object.
a = v - u/t
a = acceleration
v = final velocity
u = initial velocity
t = time taken
Thus we can now be able to correctly carry out the substitution of the values and we have;
a = 2 - 7/5
a = -1 m/s^2
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An astronaut on the moon weighs approximately 1/6 as much as on earth. How will the astronaut’s inertia change on the moon?.
The astronaut's inertia will not change on the moon.
What is inertia?Inertia can be defined as the property of a matter that causes a matter to be at rest or continuous motion in a straight line.
Inertia depends on the mass of an object, the more massive an object is, the greater the inertia and the smaller the mass of an object, the lesser the inertia.
The weight of an object is given as the product of mass and acceleration due to gravity.
W = mg
where;
m is the mass of the objectg is acceleration due to gravityThe mass of the astronaut will be constant, only the weight will change due to difference in the value of acceleration due to gravity.
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HELP PLEASE!! *ILL GIVE BRAINLIEST*
An unattended car rolls slowly across an empty parking lot. Consider the following two cases: case 1, the car hits a light pole and comes to rest; case 2, the car hits a pile of plastic garbage bags and comes to rest. (a) Is the impulse in case 1 greater than, less than, or equal to the impulse in case 2? (b) Is the average force in case 1 greater than, less than, or equal to the average force in case 2?
Reaction distance plus braking equals stopping distance. The published road brake performance tests for almost all contemporary production vehicles show stopping distances from 60 mph that are typically 120 to 140 feet, well under half of the anticipated safety distances.
How does stopping distance at 60 mph get calculated?
The anticipated stopping distance for a car at 60 mph is 73 meters (240 feet), or 18 car lengths overall. This measurement combines the braking distance of 55 meters and the thinking distance of 18 meters.
Your overall stopping distance is at least 268 feet at 50 mph. The total of the 268 feet is composed of: 55 Feet for Perception. 55 feet for a response.
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what does a flat horizontal line on a graph mean?
a. the object is moving fast
b. the object is motionless
c. the object is gaining speed
d. the object is moving back to its original position
how much force is needed to lift a 24-kg mass??
pls, i need help loll
Answer:lol
Explanation:
When the positively charged rod Q is brought close to rod R, rod R moves away from rod Q.
Which conclusion can be made from this observation?
A Rod R is charged, but it is not possible to identify the sign of the charge.
B Rod R must be positively charged.
C Rod R must be negatively charged.
D Rod R is uncharged.
Answer:
B rod r is positively charged
a box on a rough surface has a weight of 100 n. you apply a horizontal force of 12 n (taking the positive direction to the right), but the box does not move. what is the static friction force on the box? the static friction coefficient is 0.25.
The static friction force on the box is 25 N.
What is the definition of static friction?Static friction is a type of friction force that acts on the body when there is no relative motion between the object and the surface. As a result, even when the body is moving, it can still act. However, there shouldn't be any relative motion.
Weight of box W = mg = 100 N
Static friction coefficient = 0.25
Forces acting on box are I) Weight of box mg downwards, 2) Normal force on box N upwards 3)Friction force fs to the left and 4) Applied force P to the right.
N-mg=0⇒ N = mg
Net force acting on box in the vertical direction is zero,
[tex]f_{s}[/tex] ≤ [tex]\mu_{s}[/tex] N⇒[tex]f_{s}[/tex] ≤ [tex]\mu_{s}[/tex]mg⇒[tex]f_{s,max}[/tex] = [tex]\mu_{s}[/tex]mg
Net force acting on box in the horizontal direction is P - [tex]f_{s}[/tex] = 0⇒P= [tex]f_{s}[/tex] (until the box starts moving)
For the the box to move P = [tex]f_{s,max}[/tex]
P= [tex]\mu_{s}[/tex]mg = 0.25 × 100 = 25 N.
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An object is projected from the ground at an angle of 30o above the horizontal and returns to the ground 8 seconds later. What is the object’s maximum height?
The object's maximum height during projectile motion is 78.4 m.
We need to know about the projectile motion to solve this problem. The projectile motion is known as parabolic motion and the velocity is divided by 2 axes.
vox = vo cosA
voy = vo sinA
where vox is initial velocity of x axis, voy is initial velocity of y axis, vo is initial velocity and A is the angle.
The total time taken during projectile motion is
t = 2(voy)/g
where t is total time and g is the gravitational acceleration (9.8 m/s²)
The maximum height also can be found using this formula
ymax = voy² / 2g
where ymax is the maximum height
From the question above, the given parameters are
A = 30⁰
t = 8 s
Find the initial velocity of y axis
t = 2(voy)/g
8 = 2 . voy / 9.8
voy = 39.2 m/s
Find the maximum object's height
ymax = voy² / 2g
ymax = 39.2² / 2 . 9.8
ymax = 78.4 m
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What do the three arrows represent in the figure of Earth and the moon? Enter the correct label for each arrow in the diagram.
PLEASE HELP DUE MIDNIGHT
The moon is gravitational at a different point on earth.
Three arrows indicate the direction of the sun on March 18th. full moon 01.04. new moon and 16.04. full moon. To draw the orbit, we need to know the direction to the moon and the distance D to the moon for each observation. Arrows are widely accepted for indicating direction. They are commonly used for signs and directions and are commonly used for road markings.
Up arrows are often used to indicate increasing numbers and down arrows to indicate decreasing numbers. The three-arrow symbol is widely used in the US Antifa movement along with flags based on German Antifa symbols. Anarchists and anti-fascists use this symbol frequently usually to oppose authoritarianism fascism and authoritarian socialism. Circles with arrow symbols were originally used as proofreading bookmarks. Nevertheless, it has become a universal symbol that conveys both masculine and feminine aspects.
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2. Answer these questions about food safety: How many foods can be cooked at less than 150 degrees and be safe? How many foods need to be cooked at temperatures above 150 degrees to be safe? How many foods need a rest time? What is the purpose of the rest time? List at least five different foods that you or a family member eat or cook.
Food is any substance consumed to provide nutritional support for an organism.
Food is important because it provides nutrients, these nutrients in turn provide: energy for activity, growth, and all functions of the body.
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PLEASE HELP NEED ANSWERS ASAP TO FILL IN THE TABLE 20 POINTS GIVEN AND BRAINLIEST ANSWER
An astronaut on the moon dropped an object at rest from a height of 3.0 meters. The table shows data from a sensor used to measure position as a function of time. Complete the table by determining the velocity at each time. Determine the acceleration due to gravity on the moon. Time (s) Position (m) Velocity (m/s) 0.0000 0.1000 0.2000 0.3000 0.4000 0.0000 -0.0081 -0.0326 -0.0733 -0.1304
The acceleration due to gravity on the moon, as determined from the given data, is approximately 0.7095 m/s².
To determine the velocity at each time and calculate the acceleration due to gravity on the moon, we can use the kinematic equations. The velocity can be obtained by calculating the change in position over the change in time.
Using the provided data, we can complete the table as follows:
Time (s) Position (m) Velocity (m/s)
0.0000 0.1000 0 (initial velocity)
0.2000 -0.0081 (0.1000 - (-0.0081)) / (0.2000 - 0.0000) ≈ 0.5417
0.3000 -0.0326 (-0.0081 - (-0.0326)) / (0.3000 - 0.2000) ≈ 0.2533
0.4000 -0.0733 (-0.0326 - (-0.0733)) / (0.4000 - 0.3000) ≈ 0.3957
0.5000 -0.1304 (-0.0733 - (-0.1304)) / (0.5000 - 0.4000) ≈ 0.5543
Now, let's calculate the acceleration due to gravity on the moon. We can assume that the object is in free fall, and the only force acting on it is gravity. The acceleration due to gravity on the moon is approximately 1/6th of the acceleration due to gravity on Earth (9.8 m/s²).
Using the velocity values at different times, we can calculate the acceleration using the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
Acceleration at 0.2 s = (0.5417 - 0) / 0.2 ≈ 2.7085 m/s²
Acceleration at 0.3 s = (0.2533 - 0.5417) / 0.1 ≈ -2.8834 m/s²
Acceleration at 0.4 s = (0.3957 - 0.2533) / 0.1 ≈ 1.424 m/s²
Acceleration at 0.5 s = (0.5543 - 0.3957) / 0.1 ≈ 1.586 m/s²
Since the object is in free fall, the acceleration is equal to the acceleration due to gravity. Taking the average of the calculated accelerations:
Average Acceleration = (2.7085 - 2.8834 + 1.424 + 1.586) / 4 ≈ 0.7095 m/s²
Therefore, the acceleration due to gravity on the moon, as determined from the given data, is approximately 0.7095 m/s².
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adjustment of the lens by the ciliary body: a.photophobia b.refraction c.amblyopia d.accommodation e.binocular vision
Adjustment of the lens by the ciliary body is accommodation.
The correct option is D.
Briefing:The lens is stretched and its refractive strength is changed by the zonule, a collective term for the suspensory ligaments that the ciliary bodies anchor. Relaxation of the zonule allows for accommodation for nearby items.
What is ciliary body of the eye?A section of the central portion of the eye's wall. The ring-shaped muscle that modifies the curvature of the lens whenever the eye focuses is part of the ciliary body, which is located behind the iris. Additionally, it creates the transparent liquid that fills the area between the iris and the cornea.
What materials makes up the ciliary body?There are muscles, blood vessels, and epithelium in the ciliary body.
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A virtual image in a location the light doesn’t actually reach
Answer:14p +4q-2r
Explanation:
Sum of (10p-r+5p+2q)
10p+5p+2q-r
15p+2q-r
Now subtract( p-2q+r) from (15p+2q-r)
(15p+2q-r) - (p-2q+r)
15p+2q-r-p+2q-r
15p-p+2q+2q-r-r
14p +4q-2r
The answer is 14p +4q-2r
A rocket travels in a
straight line at a speed of 5,000 m/s. After 1
min, it is 10,000 m/s. What is the rocket's
acceleration?
83.33ms-² is the rocket's acceleration
a = 10,000–5,000/(60)
a=5,000/60
a=83.33ms-²
What are the requirements for rocket propulsion?Fuel and an oxygen supply, known as an oxidizer, are combined and blasted in a combustion chamber of a rocket engine. The combustion process generates hot exhaust, which is directed through a nozzle to accelerate the flow and generate thrust.
Propulsion is the application of a force to modify the velocity of a vehicle, influencing both its speed and direction. This force is commonly referred to as thrust in aeronautical vehicles.
Today, liquid hydrogen is the American space program's hallmark fuel, and it is employed by other countries in the satellite launch sector. Boeing's Delta III and Delta IV now include liquid-oxygen/liquid-hydrogen upper stages, in addition to the Atlas.
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3 meters per second for 3 soconds
Answer:
9 meters
Explanation:
Assuming this question is asking for the change in position, the way to approach such a problem is multiplying VELOCITY by TIME when velocity is constant.
Velocity = 3 m/s, Time = 3s.
3m/s * 3s = 9m
What observational evidence supports the conclusion that most of the mass of the milky way is in the form of dark matter?.
The orbital speeds of stars far from the galactic center are surprisingly high.
What is milky way ?
The galaxy that contains our Solar System is known as the Milky Way[b], and its name refers to how it appears to us on Earth: a hazy strip of light in the night sky made up of stars that are too close together to be seen individually. The name Milky Way comes from the Latin route lactea, which is a translation of the Greek o (galaktikos kklos), which means "milky circle"[18][19][20]. From Earth, the Milky Way looks as a band because its disk-shaped structure is seen from the inside. Most astronomers believed that the Milky Way held all of the universe's stars until the early 1920s.
The orbital speeds of stars and gas clouds far from the galactic center are surprisingly high suggesting that these stars and gas clouds are feeling gravitational effects
The name of the galaxy that contains our Solar System, the Milky Way[b], refers to how it appears to us on Earth: a hazy strip of light visible in the night sky made up of stars that are too dim to be seen individually. The phrase "Milky Way" is a translation of the Latin route lactea, from the Greek o (galaktikos kklos), which means "milky circle"[18][19][20]. The Milky Way is seen as a band from Earth because its disk-shaped structure is seen from the inside. In 1610, Galileo Galilei used his telescope to break the band of light into individual stars for the first time. The majority of astronomers believed that the Milky Way held every star in the Universe up until the early 1920s.
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Basic Electrical Quantities: Solve the following problems .
A lightning strike carries 5.0 C of charge in the 0.02 s it takes to reach the ground. What is the electric current carried by the lightning strike . please I need a answer fast
The electric current carried by the lightning strike, given it carries 5.0 coulomb in 0.02 second is 250 A. Details below
How to determine the electric currentWe'll begin by writing out the equation relating quantity of electricity, electric current and time. The equation is illustrated below:
Q = It
Where
Q is the quantity of electricity in coulomb (C)I is the electric current in ampere (A)t is the time in second (s)With the above formula, we can obtain the electric current. Details below
From the question given above, the following data were obtained:
Quantity of electricity (Q) = 5.0 CTime (t) = 0.02 sElectric current (I) =?Q = It
5 = I × 0.02
Divide both sides by 0.02
I = 5 / 0.02
I = 250 A
Thus, from the calculation made above, we can draw our conclusion that the electric current carried by the lightning strike is 250 A
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Which of the picture demonstrates a state of matter wirh a fixed shape and a fixed volume
Answer:
option (j) because the particles are tightly packed and it's clear in the pic that it has fixed shape and there is no space to move
a ice block floating in a river is pushed through a displacement along a straight embankment by rushing water, which exerts a force on the block. how much work does the force do on the block during the displacement?
The amount of work that the force do on the block during the displacement is 4950 Joules.
The work done by a body is given by
W = F.S
Where,
W is the work done,
F is the force applied,
S is the displacement.
Work done is a scalar quantity that is found by the dot product of the force and the displacement of the body.
The force applied by the rushing water is given to be exerted is (210N)i-(150N)j
The displacement is given to be (15m)I - (12m)j.
Now, putting all the values,
W = (210i-150j)(15i-12j)
W = 4950 Joules.
So, the work done by the force to move the ice block is 4950 Joules.
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Complete question - A floating ice block is pushed through a displacement vector d= (15 m)i - (12 m)j along a straight embankment by rushing water, which exerts a force vector F = (210 N)i - (150 N)j on the block. How much work does the force do on the block during the displacement?
Why does the brightness of a bulb not change noticeably when you use longer copper wires to connect it to the battery?.
Very little energy is dissipated in the thick connecting wires.
Resistance is inversely proportional to wire length, so less energy is dissipated through the wire and more energy is dissipated through the bulb. The resistance of the wires is low enough that there is not enough voltage drop across the wires so there is no noticeable voltage difference across the bulb.
The more bulbs you connect in series the brighter or brighter the bulb. The light is dimmer because less current flows through each bulb. This is because adding more bulbs in a series means adding more resistance. In a parallel circuit, current flows through separate branches. If another branch is added with another bulb, the current will have to follow an additional path. However the battery produces a constant voltage, so the current through the original lamp and its brightness remain unchanged.
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Mark is conducting an experiment to show how an object’s kinetic energy is affected by its mass and velocity. First, he lets an empty wagon roll down a hill and calculates its kinetic energy. Next, he repeats the experiment after placing a bag of sand in the wagon. Which is the best prediction for the second part of his experiment?(1 point)
1. The wagon will have less velocity than when it was empty.
2. The wagon will have the same amount of kinetic energy as when it was empty.
3. The wagon will have less kinetic energy than when it was empty.
4. The wagon will have more kinetic energy than when it was empty.
Answer:
the wagon will have more kinetic energy than when it was empty
Explanation:
