A boy is trying to roll a bowling ball up a hill, as shown in the image below. If
friction is ignored, what is the minimum initial velocity that the ball must have
for it to reach the top of the hill? (Recall that g = 9.8 m/s²)
22.5 m
O A. 28 m/s
O B. 7 m/s
OC. 14 m/s
OD. 21 m/s
Answers
The minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s. The correct option is D.
What is mechanical energy?The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.
M.E = KE +PE
A boy is trying to roll a bowling ball up a hill. The friction is ignored. The ball must have to reach the top of the hill with a velocity. The acceleration due to gravity, g = 9.8 m/s²
The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.
M.E bottom of hill = M.E on top of hill
Kinetic energy + Potential energy = Kinetic energy + Potential energy
1/2 mu² + 0 = 0 + mgh
At the top of hill, the velocity will become zero. So, final kinetic energy is zero.
Substituting the values, we have
1/2 x u² = 9.8 x 22.5
u = sqrt [2 x9.8 x 22.5 ]
u= 21 m/s
Thus, the minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s.
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Related Questions
how can geo thermal energy be used ?
Answers
Answer:
Geothermal energy can heat, cool, and generate electricity: Geothermal energy can be used in different ways depending on the resource and technology chosen—heating and cooling buildings through geothermal heat pumps, generating electricity through geothermal power plants, and heating structures through direct-use
Explanation:
geothermal energy, form of energy conversion in which heat energy from within Earth is captured and harnessed for cooking, bathing, space heating, electrical power generation, and other uses. Heat from Earth's interior generates surface phenomena such as lava flows, geysers, fumaroles, hot springs, and mud pots.
A boy on rollerskates is travelling along at 8 m/s. He has a mass of 60 kg and is carrying his
school bag of mass 10 kg. He throws the bag directly forward at 20 m/s relative to the
ground. Calculate the boy's speed after throwing the bag forward?
Answers
Answer:
6m/s
Explanation:
the original momentum = mass x velocity = 8x (60+10) = 560
momentum after = mass x velocity of the school bag + mass x velocity of the boy = 10x20 + 60x A
200+60A = 560
A=6
How do I do this? I’m super confused.
Answers
Explanation:
yes, correct, from the batteries, wires and bulbs. in short, from everything that is part of the circuit.
electricity is just a push on mostly already existing electrons to move along.
a battery has a surplus of electrons at the "-" pole, and an electron deficiency at the "+" pole. that creates an electromagnetic "pressure" (voltage), the surplus (ampere) squeezes into the circuit, while the deficiency pulls like a vacuum, and all that creates an electromagnetic field around the whole circuit, which moves also the existing electrons, pushing/sucking electrons at the end of the circuit "chain" into the "+" pole.
A loaded freight car a with a mass of 24,000 kg moves at a constant velocity of 8 m/s on a horizontal railroad track and collides inelastically with an empty stationary car b with a mass of 8,000 kg. after the collision the cars stick to each other and moves like one object. what is the velocity of two cars after the collision?
Answers
The velocity of two cars after the collision will be 6 m/sec.The momentum of the body is given by the product of the mass and velocity of the body.
What is the law of conservation of momentum?According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
According to the law of conservation of momentum
Momentum before collision =Momentum after collision
[tex]\rm m_1v_1+m_2v_2=(m_1+m_2)V \\\\\ 24000 \ kg \times 8 m/sec+8000 \ kg \times 0 m/sec=(24000+8000)V\\\\ V= 6 m/sec[/tex]
Hence, the velocity of two cars after the collision will be 6 m/sec.
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What was the name of the first living being to be put into orbit?.
Answers
Two waves overlap producing a new wave that exhibits destructive interference. Which statement correctly describes the new wave?
A. It has a larger amplitude than the waves that overlapped to produce it.
B. It has deeper troughs than the waves that overlapped to produce it.
C. It has taller crests than the waves that overlapped to produce it.
D. It has a smaller amplitude than the waves that overlapped to produce it.
Answers
A new wave created by the destructive interference of two waves is produced. The new wave is accurately described in statement A. Its amplitude is greater than that of the waves that produced it.
What is the definition of destructive interference?Destructive interference happens when the maxima of two waves are 180° out of phase; a positive displacement of one wave is canceled exactly by a negative displacement of the other wave.
Two or more waves combining to produce a wave with a smaller displacement is called destructive interference.
Two waves overlap producing a new wave that exhibits destructive interference. It has a larger amplitude than the waves that overlapped to produce it.
Hence, statement A correctly describes the new wave.
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As waves approach the shore, they ________. Group of answer choices are reflected off the shoreline but never refract refract so as to impact the shore nearly perpendicular to the shoreline reflect directly backward from the angle at which they approach the shoreline refract so as to impact the shore in a nearly parallel manner
Answers
As waves approach the shore, they refract so as to impact the shore in a nearly parallel manner.
What is Water wave?This is a type of mechanical wave and requires a medium for its propagation which in this case is water.
This type of wave refract and impact the shore in an almost parallel manner hence option D being chosen.
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In y = mx + b, the y-intercept is given by the value of m.
Answers
Answer:
False
Explanation:
In the linear equation y = mx + b, b is the y-intercept and mx is the slope.
Air escaping out from an air hose at a gas station always feels cool. Why?
Answers
Answer:
The air is contained at a high pressure in the tube. When it escapes from a small orifice, it suddenly expands. A large amount of its heat is absorbed in the process of expansion resulting in considerable fall in its temperature. This is why the escaping air feels cold.
What is true about determining the time of death of a victim?
group of answer choices=
forensic pathologists usually determine the exact time of death.
determining the time of death is critical to all criminal cases.
forensic scientists can often provide an estimated time of death.
the exact time of death can only be determined with dna evidence.
Answers
Forensic scientists can often provide an estimated time of death. Option C is correct.
What is forensic science?By gathering and evaluating evidence, forensic science specialists support criminal investigations. Numerous technicians focus on either laboratory analysis or crime scene investigation.
Often, forensic experts can approximate the time of death.
Hence, the right answer is C.
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A track consists spring launcher on one end. A spring which is compressed 0.5 m has a
spring constant of 25 N/m. A 0.05 kg ball is resting at the end of the spring. When
released, the spring pushes the ball down the track. It collides and sticks to a second
block of 0.05 kg at rest.
Answers
(a) The velocity of the first ball before the collision with the second ball is 11.18 m/s.
(b) The final velocity of the two balls after the collision is determined as 5.59 m/s.
Speed of the block when pushed by the spring
The speed of the block when pushed by the spring is calculated as follows;
K.E = Ux
¹/₂mv² = ¹/₂kx²
mv² = kx²
v² = kx²/m
v² = (25 x 0.5²)/0.05
v² = 125
v = 11.18 m/s
Final velocity of the two balls after the collisionThe velocity of the two balls after the collision is calculated as follows;
Pi = Pf
where;
Pi is initial momentum Pf is final momentumm1u1 + m2u2 = v(m1 + m2)
0.05(11.18) + 0.05(0) = v(0.05 + 0.05)
0.559 = 0.1v
v = 5.59 m/s
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Find the magnetic field (positive magnitude only, no direction) at point p. i1 = 12.0 a r1=2.40 m i2 = 10.0 a r2 = 1.25 m
Answers
The magnetic field (positive magnitude only, no direction) at point p is further explained below.
B=1.89*10^{-6}
What is the magnetic field (positive magnitude only, no direction) at point p.?Generally, the equation for magnetic field is mathematically given as
[tex]B= \frac{\mu0}{2\pi}*\frac{I1}{r1}[/tex]
Therefore
[tex]B1= \frac{2*10^{-7}(10)}{240}[/tex]
B1=1*10^{-6}T
and
[tex]B2= \frac{2*10^{-7}(10)}{1.25}[/tex]
B2=1*10^{-6}T
In conclusion,
[tex]B=\sqrt{B1^2+B2^2}[/tex]
B=1.89*10^{-6}
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A surfacing whale in an aquarium produces water wave crests every 0.40 seconds. If the water wave travels at 4.5 meters per second, the wavelength of the wave is
Answers
For a surfacing whale in an aquarium produces water wave crests every 0.40 seconds.is mathematically given as
w= 1.8m
What is the wavelength of the wave?Generally, the equation for is mathematically given as
w=V*T
Therefore
w=V*T
w=4.5 m/s*0.40s
w= 1.8m
In conclusion, the wavelength of the wave
w= 1.8m
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The voltage provides the push for an electric current within the electromagnet. What is your evidence that a magnetic field is also present
Answers
The evidence that a magnetic field is also present is the paper clips get attracted to the rod.
What is magnetic field?It is the region of space where an object experiences magnetic force either attracted or repelled.
The voltage provides the push for an electric current within the electromagnet. The paper clips placed nearby will get attracted towards the magnetic material rod.
Thus, this give an evidence that magnetic field is also present.
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what is precision?what is precision?
Answers
Answer:
According to Oxford Dictionaries "Precision" means "the quality, condition, or fact of being exact and accurate."
Explanation:
Hope this helps! :)
How does the value of gravity vary as you go:
i. above the earth surface?
ii. below the earth surface?
Answers
Answer:
Gravity changes with altitude. as we know The gravitational force is proportional to 1/R2, where R is your distance from the center of the Earth.
eg. The radius of the Earth at the equator is 6400 kilometers.
Let's say you were in a jet at the equator that was 40 kilometers high above the earth's surface.
may be helpfull
A basketball, a pool cue ball, and a golf ball all fall down in the absence
of air resistance. Which of the following is true about their
acceleration?
Answers
The acceleration of all objects increases when there is no air resistance because air resistance slow down the speed of an object.
What is acceleration?
The rate of change in velocity over time is known as acceleration. Velocity is the speed of an object in a specific direction. Acceleration occurs when change occurs in velocity.
So we can conclude that the acceleration of all objects increases when there is no air resistance because air resistance slow down the speed of an object.
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How long does 100m long train take a cross a bridge of length 4.9 km at a speed of 50m/s
Answers
Answer:
it would take 100s for the train to crossthe bridge
You apply a horizontal force of 25N to push a shopping cart across the parking lot at a constant velocity. a) what is the net force on the shopping cart ? b) What is the force of friction on the shopping cart ? c) What will happen to the shopping cart if you come across a wet portion of the parking lot and you continue to apply the same force ?
Answers
(a) The net force on the shopping cart is zero.
(b) The the force of friction on the shopping cart is 25 N.
(c) When same force is applied to the shopping cart on a wet surface, it will move faster.
Net force on the shopping cartThe net force on the shopping cart is calculated as follows;
F(net) = F - Ff
where;
F is the applied forceFf is the frictional forcema = F - Ff
where;
a is acceleration of the cartm is mass of the cartat a constant velocity, a = 0
0 = F - Ff
F(net) = 0
F = Ff = 25 N
Net force is zero, and frictional force is equal to applied force.
On wet surfaceCoefficient of kinetic friction of solid surface is greater than that of wet surface.
Since frictional force limit motion, when the frictional force is smaller, the object tends to move faster.
Thus, the cart will move faster on a wet surface due to decrease in friction.
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On a hot day, the deck of a small ship reaches a temperature of 48
17.0°C seawater on the deck to cool it down. During the cooling, 3,710,000 J are transferred to the
seawater from the deck. Assume no energy or mass is lost from the system. Use c = 3,930 J/kg°C for
seawater.
Calculate the final temperature of the seawater-deck system.
Write your answer rounding to the nearest tenth.
Answers
The final temperature of the seawater-deck system is 990°C.
What is heat?The increment in temperature adds up the thermal energy into the object. This energy is Heat energy.
The deck of a small ship reaches a temperature Ti= 48.17°C seawater on the deck to cool it down. During the cooling, heat Q =3,710,000 J are transferred to the seawater from the deck. Specific heat of seawater= 3,930 J/kg°C.
Suppose for 1 kg of sea water, the heat transferred from the system is given by
3,710,000 = 1 x 3,930 x (T - 48.17)
T = 990°C to the nearest tenth.
The final temperature of the seawater-deck system is 990°C.
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The electromagnet in a motor must rotate consistantly in just one direction to transfor. ectrical energy into mechanical energy. What causes this rotation?
Answers
The rotation of the electric motor in one direction is because the commutator frequently reverses the direction of the current in the loop of wire.
What is an electromagnet?An electromagnet is a device which works on the principle of electromagnetism.
Electromagnetism is the force produced due to an interaction of the electric and magnetic fields.
An example of an electromagnet is the electric motor.
In an electromagnet, the rotation of the motor in one direction is because the commutator frequently reverses the direction of the current in the loop of wire.
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Electromagnet in a motor must rotate consistently in just one direction because of the movement of permanent magnet.
What causes the rotation?
A Lorentz force is generated by the current and the magnetic flux of the permanent magnet in the same direction when the movement of the permanent magnet occur.
So we can conclude that Electromagnet in a motor must rotate consistently in just one direction because of the movement of permanent magnet.
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Question 9 of 25
Which term describes something that changes during an experiment?
OA Variable
OB. Vector
OC. Data
OD. Hypothesis
Answers
Answer:
C
Explanation:
The unit of length most suitable for measuring the thickness of a cell phone is a . The unit of length most suitable for measuring the height of a backyard tree is a?
Answers
The answers include the following:
The unit of length most suitable for measuring the thickness of a cell phone is a meter.The unit of length most suitable for measuring the height of a backyard tree is a meter.What is Meter?This is defined as the standard unit for measuring the length of a body and is denoted as m.
Height is a vertical type of length which is why meter was chosen as the most appropriate choice.
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it is seen that in a balloon filled with air,if we press one side of the balloon the other side bulges out.why is it so???
Answers
When we apply pressure on the one side of balloon the other side bulges out due to the movement of gas to other side.
What happen when we press one side of the balloon?If we press one side of the balloon, the other side bulges out because the gas that present on one side moves to the other side where there is no pressure. The body of balloon is elastic so when we apply pressure the other side bulges out.
So we can conclude that when we apply pressure on the one side of balloon the other side bulges out due to the movement of gas to other side.
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An Olympic sprinter completes the 100 m race in a time of 10 s. Calculate the average speed of the sprinter.
Answers
Taking into account the definition of speed, the average speed of the Olympic sprinter is 10 [tex]\frac{m}{s}[/tex].
What is speedSpeed is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.
In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:
[tex]speed=\frac{distancetraveled}{time}[/tex]
Average speed of the sprinterIn this case, you know:
distance traveled= 100 meterstime= 10 secondsReplacing these values in the speed definition:
[tex]speed=\frac{100 m}{10 s}[/tex]
Solving:
speed= 10 [tex]\frac{m}{s}[/tex]
In summary, the average speed of the Olympic sprinter is 10 [tex]\frac{m}{s}[/tex].
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Five locations are marked on the world map. which location is most prone to hurricanes? five locations are marked on the world map. which location is most prone to hurricanes?
a.
b.
c.
d.
e.
Answers
Five locations are marked on the world map. The spot that is prone to hurricane mostly A.
What is hurricane?A hurricane is a cyclone with winds of 74 miles (119 kilometers) each hour or more prominent that is typically joined by downpour, thunder, and lightning, and that occasionally moves into calm scopes.
The locations on the world map spot A, B, C, D, E are regions with country prone to hurricane.
The SPOT A, is GULF of Mexico, a sea bowl nearer to the Atlantic sea, encompassed with the North American landmass, the Hawaiian island is likewise inside that locale.
The SPOT B, is the southern Pacific sea with nations like BRAZIL, PERU, ECUADOR, CHILE, in that equivalent locale. This is likewise visited by the tropical storm.
The SPOT C, is inside the locales of AFRICA, nations at the edge are likewise impacted by typhoon.
The SPOT D, is Asian landmass with Russia at the edge. They are likewise inclined to typhoon.
The SPOT E, is the North Pacific sea locale situated at the upper left hand side of the world guide, with nations like Canada, Alaska and co. Near the artic circle.
Thus, location A is the most prone to hurricanes.
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I believe the answer is A. a
I've done the test, 16/16
The angular speed of a wheel of bicycle is 8pi rad/s what is period of rotation
Answers
I hope this woll work.Best of luck.Sorry of the answer ia wrong
A crane does exactly 1800 J of work to lift a steel beam from the ground. The beam is accidentally dropped and falls back to its starting position in 0.9 s. What is the mass of the beam
Answers
Answer:
Explanation:
1800x0.9=1620kg
Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which change shows the best application of Newton’s laws of motion to achieve this goal?
increasing the inertia of the car
decreasing the reaction force
increasing the action force
decreasing the mass of the car
Answers
To increase the acceleration of the car using the same engine, the mass of the car must be decreased.
What is Newton's first law of motion
Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that path unless acted upon by an external force.
The first law is also called the law of inertia because it depends on the mass of the object. The greater the mass, the greater the inertia and more reluctant the object will be to move.
Thus, to increase the acceleration of the car using the same engine, the mass of the car must be decreased.
a = F/m
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none hsbisneienbjsnsidns ueheijejeie idhdidnis idndidjd idjdi
Answers
Answer: