The amount of work done on the crate to change its velocity is 211.1 J.
What is the work done on the crate to change its velocity?
The work done on the crate to change its velocity is calculated by applying the principle of conservation of energy as shown below.
Applying work-energy theorem, the work done in changing the velocity of the crate is equal to the change in kinetic energy of the crate as shown below;
W = ΔK.E
W = ¹/₂m(v₂² - v₁²)
where;
m is mass of the cratev₁ is the initial velocity of the cratev₂ is the final velocity of the crateW = ¹/₂m(v₂² - v₁²)
W = ¹/₂(32)(5.1² - 3.58²)
W = 211.1 J
Thus, the amount of work done on the crate to change its velocity from 3.58 m/s at 37.0 ∘ west of north to 5.10 m/s in a direction 63.0 ∘ south of east, is based on the principle of conservation of energy.
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PLEASEEE HELP ASAPPP
A team of dogs is pulling a person in a sled in the snow. The dogs are attached by a harness that is parallel to the ground. The combined mass of the person and the sled is 62.5 kg.The coefficient of kinetic friction is 0.190 ,and the harness tension is 180.0 N. Determine the sled’s acceleration.
The acceleration of the sled of combined mass 62.5 kg is 1.018 m/s².
What is acceleration?Acceleration is the rate of change of velocity.
To calculate the acceleration of the sled, we use the formula below.
Formula:
a = (T-mgη)/m............... Equation 1Where:
a = Acceleration of the sledm = Mass of the person and the sledT = Tension pn the hernessg = Acceleration due to gravityη = Coefficient of kinetic frictionFrom the question,
Given:
T = 180 Nm = 62.5 kgg = 9.8 m/s²η = 0.19Substitute these values into equation 1
a = [180-(62.5×9.8×0.19)]/62.5a = (180-116.375)/62.5a = 1.018 m/s²Hence, the acceleration of the sled is 1.018 m/s².
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a race car is traveling in a uniform circular motion around a race track what happends to the radial aceleration of the car if the velocity is dobled and the radio od the circel is half
A race car is traveling in a uniform circular motion around a race track, the radial acceleration of the car when the velocity is doubled and the radius of the circle is halved will increase by a factor of 8 (Option D)
What is radial acceleration?To arrive at the above conclusion, we must recall that radial acceleration is defined by:
Ac = v²/r; where
Ac - is the magnitude of radial acceleration
v - is the linear or tangential speed
r - is the radius of the circular path
A′c - is the new magnitude of the radial acceleration.
Given that the linear velocity is duplicated and simultaneously the radius is split in two, then the new radial acceleration increases by a factor of 8, according to the following calculation:
A'c = (2v²)/(0.5r)
= 4v²/(0.5r)
= 8 · (v²/r)
= 8 · Ac
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Full Question:
A race car is traveling in a uniform circular motion around a race track what happens to the radial acceleration of the car if the velocity is doubled and the radius of the circle is halfed?
A. It remains the same.
B. It increases by a factor of 2.
C. It increases by a factor of 4.
D. It increases by a factor of 8.
E. It decreases by a factor of 2.
Calculate the force of gravity on the 1.4-kg mass if it were 1.3x107 m above Earth's surface (that
is, if it were three Earth radii from Earth's center).
The gravitational force acting on the 1.4 kg mass at 1.3 x 107 m above the Earth's surface
What makes gravity a force, exactly?However, gravity is a force in the broadest sense since it characterizes the resulting interaction between two masses. The warping of spacetime and the motion of objects thru the stretched spacetime are the main causes of gravitational effects. However, the result seems to be the effect of using force.
Why does gravity not have more force?According to string theory, the universe must include at least four additional spatial dimensions in addition to the three that we can now perceive. Gravity is so weak, say the best theories of string theory.
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Which force causes motion?
Motion is caused due to external Force.
The universe contains multiple fundamental forces, including gravity, electromagnetic force, and weak and strong nuclear forces. However, when it comes to the motion of common objects, the forces of importance are primarily gravity, friction, and applied force.
The vector sum of all the forces acting on an object is the net force. That is, the net force is the sum of all forces, taking into mind that a force is a vector, and two forces of identical size and opposing direction cancel each other out.
When you apply force to an object, it moves. However, there is a little more to the story. Newton's second rule of motion asserts that you must total up all of the forces acting on a system to determine what will happen to it.
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A car travels 150 kilometers in 3.2 hours. What is the average velocity for the trip in meters per second.
Answer:
13.02 m/s
Explanation:
First, convert the units of kilometer and hours into meter and second. This can be done by multiplying 150 with 1000 since a kilometer equals 1000 meters. This’ll get us the new unit of 150,000 meters.
Then convert 3.2 hours to second by firstly multiplying 3.2 with 60. This’ll get us with 192 minutes since an hour equals 60 minutes. Then multiply 192 by another 60 because a minute equals to 60 seconds. You’ll obtain the new unit of 11520 seconds.
Next, we can now apply the basic velocity formula which is:
[tex]\displaystyle \vec v = \dfrac{\vec s}{t}[/tex]
Where [tex]\vec v[/tex] is velocity, [tex]\vec s[/tex] is displacement and [tex]t[/tex] is time. In this scenario, assume that the car travels in linear path - this means that the displacement equals to distance. Therefore, from the information we have, we can conclude that:
[tex]\vec s[/tex] = 150,000 meters[tex]t[/tex] = 11520 secondsApply in the formula to find velocity:
[tex]\displaystyle {\vec v = \dfrac{150000}{11520}}\\\\\displaystyle{\vec v \approx 13.02 \ \, \sf{m/s}}[/tex]
Therefore, our velocity is approximately 13.02 m/s
What should your guide hand (non shooting hand) do when you shoot a ball?
If the maximum tension the rope can with- stand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
Answer in units of m/s.
The Maximum tangential speed the ball can have would be = 5.3m/s.
What is tangential speed?A tangential speed is defined as the speed of an object that has an angular velocity with respect to an instantaneous velocity.
The formula used to calculate the maximum tension;
T = mv²/r
Where T = Maximum tension = 132.3N
M = mass= 4kg
r = radius = 0.86m
V= tangential speed = x
Make v the subject of formula;
V = √Tr/m
V = √ 132.3 × 0.86/4
V = √113.778/4
V= √28.4445
V = 5.3 m/s.
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Complete question:
An athlete swings a 4.00 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.860 m at an angular speed of 0.660 rev/s. If the maximum tension the rope can withstand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
In a dentist’s x-ray machine, electrons may be subjected to a net force of 1X10-13 The mass of an electron is about 1X10-30 kg. What is the acceleration of the electrons? How long does it take the electrons to be accelerated from rest across a gap of 10 cm?
The net force on the electron is F = 1X10-13 N.
The mass of the electron is m = 1X10-30 kg.
The distance covered by an electron is S = 10 cm.
The acceleration of an electron can be calculated as:
F = ma
a = F/m
Substitute the values in the above expression.
[tex]a = (\frac{1 * 10^{-13}N }{1* 10^{-30kg} } ) \\[/tex]
a = [tex]1*[/tex][tex]10^{-17} m/s^{2}[/tex]
Thus. the acceleration of the electron is. [tex]a = 1*10^{-17} m/s^{2}[/tex]
The expression of time taken by the electron is given by,
S = ut + [tex]\frac{1}{2} at^{2}[/tex]
Here, u is the electron's initial velocity, whose value is zero because the electron is initially at rest.
Substitute the values in the above expression.
(10cm x 1m/100cm) = 0 x t + 1/2 x (1 x [tex]10^{17}[/tex] m/s²) x t²
(0.1m) x 2 = (1 x [tex]10^{17}[/tex] m/s²)x t²
[tex]t = \sqrt{\frac{0.2m}{(1*10^{17} m/s^{2} )} }[/tex]
t = 1.414 x [tex]10^{-9}[/tex]s
Thus, the time taken by the electrons to be accelerated from rest is t = 1.414 x [tex]10^{-9}[/tex]s
Electrons are accelerated from rest by a potential difference of V volts. The speed of individual electrons in metal wires is typically millions of kilometers per hour. In contrast, drift velocities are typically only a few meters per hour, while signal velocities are 100 million to 1 billion kilometers per hour.
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In an arcade game a 0.097 kg disk is shot
across a frictionless horizontal surface by compressing it against a spring and releasing it.
If the spring has a spring constant of
166 N/m and is compressed from its equilibrium position by 5 cm, find the speed with
which the disk slides across the surface.
Answer:
Explanation:
Mass of disk = 0.14 kgSpring constant = 155 N/mLength = 4 cmWe need to calculate the speed Using energy conservationWhere, k = spring constantx = compressed lengthm = mass of the discPut the value into the formulaHence, The speed with which the disk slides across the surface is 1.33095 m/s.
An airplane is traveling 835 km/h in a direction 41.5 ∘ west of north How far north and how far west has the plane traveled after 4.20 h ?
a. The plane traveled 2626.60 km north
b. The plane traveled 2323.81 km west
How to determine how far north and how far west has the plane traveled after 4.20 h?Since the airplane is traveling 835 km/h in a direction 41.5 ∘ west of north, weresolve it into its component velocity vector.
So, its velocity, V = -(835 km/hsin41.5°)i + (835 km/hcos41.5°)j
= -(835 km/h × 0.6626)i + (835 km/h × 0.7490)j
= -(553.29 km/h)i + (625.38 km/h)j
a. How far north has the plane traveled after 4.20 h ?Now the speed of the plane in the north direction is the j component which is 625.38 km/h.
Since the plane traveled 4.20 h, The distance travelled is d = speed × time = 625.38 km/h × 4.20 h
= 2626.60 km
So, the plane traveled 2626.60 km north
b. How far west has the plane traveled after 4.20 h ?Also, the speed of the plane in the west direction is the i component which is 553.29 km/h.
Since the plane traveled 4.20 h, The distance travelled is d = speed × time = 553.29 km/h × 4.20 h
= 2323.81 km
So, the plane traveled 2323.81 km west
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5. A force of 3.5 N applied to an object for 0.15 seconds increases the object's velocity by 2.0 m/s. What is the
mass of the object?
The estimated value of mass is 0.2625066 units
Given , Force =3.5N , time=0.15sec =15/100 sec
Velocity=2 m/s, mass =?
In Physics Acceleration means rate of change of velocity, i.e. Mathematically, a= v/t
a= 2/0.15
a=200/15= 13.333m/s²
In Physics Force means product of mass and acceleration i.e. F=ma
From this equation we can deduce the value of mass of the object.
3.5N= m [13.333]
m=3.5/13.333
m= 0.2625066
Hence forth in this way the value of mass is computed.
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In the winter, an animals fur provides warmth through which method?
A. Conduction
B. Convection
C. Radiation
In the winter, an animals fur provides warmth through Conduction.
What is conduction?
One of the three main ways that heat energy moves from one place to another is conduction. The other two ways heat moves are through radiation and convection. Thermal energy is transferred through conduction when nearby atoms or molecules collide. Because the particles in solids and liquids are closer together than they are in gases, conduction occurs more readily. The rate of energy transfer besides conduction is faster when there is a significant temperature difference between the materials in contact. Thermal energy is transferred from a lower kinetic energy area to a higher kinetic energy area. The kinetic energy of slow-moving particles increases when they collide with fast-moving particles. This is a typical instance of heat transfer through physical contact.
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The number of protons, neutrons, and electrons determines all of the
_____ of that atom.
Suppose a woman wearing high-heeled shoes has a mass of 20 kg the area of each shoe is 10 cm2. How much pressure does she exert on the ground with both feet or with one foot? Explain your reasoning
She will exert a pressure of 20N/m² for one foot. For both feet 40N/m². The reason is that pressure increases with an increase in force. pressure and decreases within the area.
What is Pressure?
This is the force acting per unit area. It can be calculated using the formula
P=F/A or P= mg/A
Where m = mass of the object
g = acceleration due to gravity
A = area.
From the question given:
m =20kg
A =10cm²
Applying the above formula,
P= (20*10)/10
P=20N/m²
Hence, the pressure exerted by the two feet will be 20+20= 40N/m²
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If one of the cars starts and ends at the same point in the race (making a loop around the track), what is the car's displacement?
A 0
B 1
C 2
D 7.5
PLEASE
Answer:
A.0
Explanation:
A star has right ascension of 3 hours. Which of these statements is correct about the star?
It is 3 hours north of the celestial equator.
It is 3 hours south of the celestial equator.
It is 3 hours to the east of zero hours right ascension.
It is 3 hours to the west of zero hours right ascension.
The correct statement about the right ascension is "it is 3 hours to the east of zero hours right ascension.
option C is the correct answer
What is right ascension of stars?The right ascension of stars is the astronomical equivalent of longitude.
Right ascension is also the angular distance of the star measured eastward from the first point of Aries, also called the Vernal Equinox.
In other words, the right ascension describes how far a star is displaced from a given point towards the eastward direction along the longitude.
Lines of longitude runs from east to west. But the right ascension runs towards the east.
Thus, the correct statement describing the right ascension would measure it towards the east.
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A wave on a rope is shown in the diagram. In the diagram, d = 3 m.
(a) What is the wavelength of this wave?
(b) If the frequency is 5 Hz, what is the speed of the wave?
The wavelength of the wave is 3m and the speed of the wave is 15 m/s
What is a wave?We define a wave as a disturbance that occurs along a medium and leads to the transference of energy from one point to another. As we can see the energy in this case is transferred along the length of the string. We know that the wavelength is the distance between the two successive crests or troughs.
Now we know that the distance between the two successive crests as we can see is the wavelength of the wave and this is shown the length that have been designated as d and we thus have the wavelength as 3m.
Again we have;
v = λf
v = speed of the wave
f = frequency of the wave
λ = wavelength of the wave
Then;
v = 3 m * 5 Hz
= 15 m/s
Thus the wave speed is obtained as 15 m/s.
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A cylinder is rolling along the ground at 2m/s . It comes to a hill and starts going up.Assuming no losses to friction, how high does it get before it stops
The maximum height reached by the cylinder at the given initial velocity is 0.2 m.
What is the maximum height travelled by the cylinder?
The maximum height travelled by the cylinder is calculated by applying the following kinematic equation as shown below.
v² = u² - 2gh
where;
u is the initial velocity of the cylinderv is the final velocity of the cylinder at the maximum heighth is the maximum height travelled by the cylinderg is acceleration due to gravityAt maximum height, the final velocity of the cylinder = 0
v² = u² - 2gh
0 = u² - 2gh
2gh = u²
h = u²/2g
h = (2²) / (2 x 9.8)
h = 0.2 m
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A series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 to
a battery. What is the total equivalent resistance?
The total equivalent resistance of the circuit which consists of 4 resistors ( 1202, 180, 320 and 3802 ) connected in series is 50.1 KΩ
Resistance of resistor,
1202 = 12 KΩ180 = 18 Ω320 = 32 Ω3802 = 38 KΩTotal equivalent resistance, R = R1 + R2 + R3 + R4
R = 12000 + 18 + 32 + 38000
R = 50.1 KΩ
Equivalent resistance is a another way of indicating total resistance. The equivalent resistance will be of a single resistor that replaces the total network without altering any effect on the system.
Therefore, the total equivalent resistance of a series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 is 50.1 KΩ
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In each of three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table shows the relationship between the acceleration and the acting force.
Which phrase best describes a graph that would represent the relationship shown in the table?
O a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
B) a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
C) an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
D) an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
The best representation of the graph is an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis. Option D
What is the relationship between the force and the acceleration?
We know that there is a direct relationship between the force and the acceleration of the object. According to the Newton second law, when force is applied to an object. The object would acquire an acceleration. In order words, the force that acts on the body is able to increase the speed of the object.
If we look at the table that was shown in the question that we have attached here, you would notice that as the force that acted on the object was increased, there was a commensurate increase in the acceleration of the object as seen.
This goes on to buttress that the relationship between the force and the accaleration is a direct relationship. This also tell us that we will have a graph that runs upwards and not downwards!
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two forces, one of 12 N and another of 24 N, act on a body in such a way that they make an angle of 90° whith each other. find the resultant of the two forces.
26.83 Newton Force is the resultant of the two forces.
F1= 12 N
F2=24 N
resultant force= [tex]F_r= \sqrt{F_1^2+F_2^2+2F_1F_2cos \alpha}[/tex]
angle=90°
[tex]F_r= \sqrt{(12)^2+(24)^2+2(12)(24)(cos 90)}[/tex]
[tex]{:[=\sqrt(144+576+0)],[=\sqrt720],[=26.83N][/tex]
The resultant force is the total force acting on the object or body along with the direction of the body. The resultant force is 0 when the object is at rest or traveling at the same speed as the object. Given that each force is acting in the same direction, their aggregate force ought to be equal.
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A ball rolls down a hill with a constant acceleration of 2 m/. The ball starts at rest and
travels for 4.0 s before it stops
2.-What was the ball's velocity just before it stopped?
a) 2.0 m/s.
b) 8.0 m/s
c)12 m/s
d) 16 m/s
According to the given statement The ball's velocity just before it stopped was 8.0 m/s.
The correct option is B.
What is acceleration?The rate at which velocity and speed change over time is referred to as acceleration. When anything moves faster or slower, it is said to be accelerating or decelerating in a straight line. Even if the speed remains constant, moving in a circle quickens because the direction is always changing.
Is acceleration a speed?A increase in an object's orientation or speed is referred to as acceleration. Acceleration is the term for the pace at which speed changes. Don't forget that velocity is made up of two components: direction and speed.
Briefing:The definition of acceleration comes first
a = v[tex]_f[/tex] - v[tex]_o[/tex] /t
2 = v[tex]_f[/tex]- 0/4
v[tex]_f[/tex]= 8 m/s
After 4 seconds, the ball will be moving at a speed of 8 m/s.
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Which method occurs in a refrigerator?
A. Conduction
B. Convection
C. Radiation
Convection is the method which occurs in a refrigerator
What is Convection ?Convection is used in a refrigerator's system to remove heat from the freezer and refrigeration compartments and send it outside the appliance. The process of convection involves the transfer of heat through the movement of material, typically a gas or a liquid.
Cool air sinks, hence the freezer is located at the top of a refrigerator. The warmer air rises, creating a convection current inside the refrigerator that helps keep it cool. Convection in refrigerators is crucial, so why? The food in the freezer cools the air at the top, which then cools the food as it descends.Learn more about Convection here:
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A box is dropped out of a moving airplane. The airplane is traveling at 50 m/s
East. The box is dropped from rest with respect to the airplane. The box travels a
vertical distance of 40 m before landing on a trampoline. The airplane continues
traveling at a constant speed after the box is dropped and the wind resistance on
the falling box is negligible.
Choose the option that correctly identifies the missing terms, in order of their
appearance in the sentences.
The box has an initial horizontal velocity of
of
m/s. The box takes
seconds to reach the ground. The box experiences an acceleration
m/s2. The box will land directly
the airplane.
The options that correctly identifies the missing terms, in order of their
appearance in the sentences are as follows:
The box has an initial horizontal velocity of 50m/s.The box takes 2.86 seconds to reach the ground.The box experiences an acceleration of 9.8 m/s².The box will land directly 143 m from the airplane.What is the initial horizontal velocity of the box dropped from the airplane?The initial horizontal velocity of the box dropped from the airplane is equal to the horizontal velocity of the airplane.
The velocity of the airplane is 50 m/s
Hence, the horizontal velocity of the box is also 50m/s.
The box falls freely under the effect of gravity. Hence, the acceleration in the vertical direction will be equal to the acceleration due to gravity.
The time taken by the box to reach the ground is calculated from the formula below as follows:
t = √(2h/g)
where;
t is the time taken to reach the ground
h is the vertical height above the ground = 40 m
g is the acceleration due to gravity = 9.8 m/s²
t = √(2 * 40 / 9.8)
t = 2.86 seconds
The horizontal distance traveled by the box = 2.86 s * 50 m/s
The horizontal distance traveled by the box = 143 m
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Determine the net capacitance C of each network of capacitors shown below. Assume that C1=1.0pF, C2=2.0pF, C3=4.0pF, and C4=5.0pF
The net capacitance C of each network of capacitors is 7.33 pF.
What is the net capacitance of series capacitors?The net capacitance of a circuit containing capacitors arranged in series to one another is the reciprocal sum of the individual capacitance.
Mathematically, this capacitance is given as;
1/Ct = 1/C₁ + 1/C₂ + 1/C₃ + 1/C₄ + 1/C₅
where;
Ct is the net capacitance C is the individual capacitanceThe capacitance of capacitors arranged in parallel to one another, the net capacitance is the sum of the individual capacitors.
Ct = C₁ + C₂ + C₃ + C₄ + C₅
In the given circuit, the net capacitance is calculated as follows;
C₂ and C₃ are in series to one another, the net capacitance of these two is calculated as;
1/Ct = 1/C₂ + 1/C₃
1/Ct = 1/2 + 1/4
1/Ct = 3/4
Ct = 4/3 pF
Ct = 1.33 pF
Combining the whole capacitors in the circuit, C₂, C₃ are in parallel with C₁ and C₄
Ct = 1.33 pF + C₁ + C₄
Ct = 1.33 pF + 1 pF + 5 pF
Ct = 7.33 pF
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A car increases its velocity from 0m/s to 14 m/s in 2 seconds
answer -
7 m/s^2
Explanation:
it goes 7m/s 14 / 2 = 7
A 40 N force is applied to a 10 kg block, but the object only accelerates at 2 m/s?. Explain why this happens using a free-body diagram.
Using a free body diagram to explain the situation, the acceleration of the block decreased because of force of friction acting in opposite direction reducing the net force on the block and consequently the acceleration of the block.
What is net force on an object?
The net force on an object is the sum of all the forces acting on an object.
According to Newton's second law of motion, the net force on an object is directly proportional to the product of mass and acceleration of the object.
F(net) = ma
F - Ff = ma
where;
F is the applied force on the objectFf is the force of friction on the objectm is the mass of the objecta is the acceleration of the objectIn the absence of friction force, the maximum acceleration of the block is calculated as;
a = F/m
a = 40 N / 10 kg
a = 4 m/s²
In the presence of friction force, the net force will decrease and the acceleration of the block will decrease as well.
In free body diagram (FBD) this can be represented as;
F → Ф ← Ff
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A bowling ball weighing 68.0 N initially moves at a speed of 3.00 m/s. How long must a force of 38.0 N be applied to the bowling ball to stop it?
The time taken for the bowling ball to stop, given that a force of 38 N was applied is 0.55 s
How to determine the timeWe'll begin by obtaining the deceleration of the ball. This can be obtained as follow:
Weight of ball (W) = 68 NAcceleration due to gravity (g) = 9.8 m/s²Mass (m) = W / g = 68 / 9.8 = 6.9 KgForce (F) = 38 NDeceleration (a) = 5.71×10¹⁴Force (F) = mass (m) × deceleration (a)
F = ma
Divide both sides by m
a = F /m
a = 38 / 6.9
a = -5.5 m/s²
Finally, we shall determine the time. This is shown below:
Initial velocity (u) = 3.00 m/sDeceleration (a) = -5.5 m/s² Final velocity (v) = 0 m/sTime (t) =?a = (v – u) / t
-5.5 = (0 – 3) / t
-5.5 = -3 / t
Cross multiply
-5.5 × t = -3
Divide both sides by -5.5
t = -3 / -5.5
t = 0.55 s
Thus, we can say that the time required is 0.55 s
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Which of the following has thermal energy? A. Both a piece of metal that feels hot and a piece of metal that feels cold B. A piece of metal that feels hot but not a piece of metal that feels cold C. A piece of metal that feels cold but not a piece of metal that feels hot D. Neither a piece of metal that feels hot nor a piece of metal that feels cold
Answer:
B
Explanation:
If you try the experiment yourself, You will see that a hot piece of metal has and sustains that thermal energy until that piece of metal eventually cools off.
On the other hand, it takes a while for the cold piece of metal to heat up. So, therefore, it does not contain thermal energy for that long period until it is thoroughly heated up.
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Suppose a star has a luminosity of 6.0×1026 watts and an apparent brightness of 1.5×10−12 watt/m2 . How far away is it? Give your answer in both kilometers and light-years.
Use the inverse square law for light to answer each of the following question.
The distance of this star in kilometers is equal to 5.64 × 10¹⁸ kilometers. Also, the distance of this star in light-years is equal to 626.67 light-years.
How to calculate the distance of light?Mathematically, the inverse square law for light can be used for calculating its luminosity at a distance by using this mathematical expression:
d = √(L/4πF)
Where:
d represents the distance of light.L represents the luminosity of light.F represents the apparent brightness of light.Substituting the given parameters into the formula, we have;
Distance in kilometers, d = √(6.0 × 10²⁶/4 × 3.142 × 1.5 × 10⁻¹²)
Distance in kilometers, d = √(6.0 × 10²⁶/1.885 × 10⁻¹¹)
Distance in kilometers, d = √3.183 × 10³⁷
Distance in kilometers, d = 5.64 × 10¹⁸ kilometers.
For the distance in light-years, we would divide the distance in kilometers by 9.0 × 10⁻¹⁵:
Distance in light-years = 5.64 × 10¹⁸/9.0 × 10¹⁵
Distance in light-years = 626.67 light-years.
Read more on distance in light-years here: https://brainly.com/question/1302132
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