The difference in gravitational potential energy for sputnik 1 as it moved from apogee to perigee is 193 kJ.
The gravitational potential energy of an object in orbit around the Earth can be calculated using the equation:
U = -GMm/r
where U is the gravitational potential energy, G is the gravitational constant, M is the mass of the Earth, m is the mass of the object.
The difference in gravitational potential energy as the satellite moves from apogee to perigee can be found by calculating the potential energy at each point and subtracting the two values:
U(apogee) = -(6.67 x 10^-11 N*(m^2)/(kg^2)) * (5.972 x 10^24 kg) * (83.5 kg) / (7300 x 10^3 m)
U(perigee) = -(6.67 x 10^-11 N*(m^2)/(kg^2)) * (5.972 x 10^24 kg) * (83.5 kg) / (6610 x 10^3 m)
U(apogee) = -1.865 x 10^5 J
U(perigee) = -2.058 x 10^5 J
The difference in gravitational potential energy is:
= U(perigee) - U(apogee)
= -2.058 x 10^5 J - (-1.865 x 10^5 J)
= 193 x 10^3 J
So, the difference in gravitational potential energy for Sputnik 1 as it moved from apogee to perigee is 193 kJ.
To know more about potential energy please refer: https://brainly.com/question/24284560
#SPJ4
what's the average speed of a bike rider who rides for 3 hours at 40 km/hr and the 2 more hours at 50 km/hr
The average speed of a bike rider who rides for 3 hours at 40 km/hr and two more hours at 50 km/hr can be calculated by adding the total number of kilometers ridden and dividing it by the total time taken.
In this case, the rider has ridden for a total of 5 hours and has covered a total of 290km (3×40 + 2 × 50). Therefore, the average speed of the rider is 58km/hr (290/5).
Average speed can be defined as the rate at which an object covers a given distance over a given period. It is usually measured in kilometers per hour (km/hr), meters per second (m/s), or miles per hour (mph).
Average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the rider has ridden for a total of 5 hours and has covered a total of 290km (3 × 40 + 2 × 50).
Therefore, the average speed of the rider is 58km/hr (290/5).
Learn more about speed:
https://brainly.com/question/13943409
#SPJ4
Position Collisions
Scenario 1: Fatima and Alberta are playing catch. Fatima is standing at
the door, while Alberta is standing 8m away to the right. Fatima throws a
paper ball to the right with a speed of 2.4m/s. Alberta realizes that she is
to far away and runs to the left at 0.6m/s. When and where will Alberta meet
the paper ball?
Alberta will meet the paper ball 8m away from Fatima's position after 13.3 seconds.
What is the seconds?
Seconds is a unit of time and is the base unit of time in the International System of Units (SI). It is described as the length of 9,192,631,770 radiation periods that correspond to the change between the two hyperfine levels of the cesium-133 atom's ground state. One second is equal to 1/60 of a minute, 1/3,600 of an hour, 1/86,400 of a day, and 1/31,536,000 of a year.
Seconds are a unit of time that is equal to one sixty-fourth of a minute. It is the base unit of measurement for time in the International System of Units (SI). One second is equal to 1000 milliseconds or 0.000277778 minutes. Seconds can be used to measure very short periods of time, such as the time it takes for light to travel from one end of a football field to the other.
To learn more about seconds visit:
brainly.com/question/26524032
#SPJ1
A 1kg rock is dropped 50m off a bridge. How much PE did it have
before it was dropped?
In this case, a body of mass 5 kg kept at a height of 10 m. So, the potential energy is given as 500 J.
Which energy has potential?An object's potential energy is its stored energy. This energy has the capacity to be productive. An object's potential energy is provided by gravity. Gravity's downward force is the source of this potential energy.
The acceleration brought on by gravity is known as the gravitational constant, or g. On Earth, this acceleration is equivalent to 10 metres per second. PE = mgh is the equation for potential energy resulting from gravity. The object's potential energy declines and its kinetic energy rises as it approaches the ground.
Briefing:Potential Energy = 5 x 10 x 10 = 500J.
To learn more about Potential Energy visit:
brainly.com/question/24284560
#SPJ4
A woman lifted a stack of books with a mass of 155 kg for 5.00 x 10^-2 min. She raised the stack
of books 150.0 cm. Calculate the Power the woman generates lifting the books.
The Power generated is 77.5 Watt
Power is always dependent on work done, so if a person does work at different rates his power also differs at different times. This is where the concept of average-power comes into the picture.We can define power as the rate of doing work, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s). Power is defined as the rate at which work is done upon an object. Power is a time-based quantity. Which is related to how fast a job is done. The formula for power is mentioned below.Power = Work / time
P = W / t
P = Fd/t
P = mgd/t
where, F = force = mg
d = displacement
t = time
Given, mass (m) = 155Kg
g = acceleration due to gravity = 10 m/s^2
d = 150 cm = 0.15 m
t = 5.00 x 10^-2 min = 3 seconds
Putting these values in above equation, we get P= 77.5 Watt.
To know more about power visit:
https://brainly.com/question/14777852
#SPJ1
What is the acceleration of a 56 kg object pushed with a force of 800 newtons?
Answer:
The acceleration of an object can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The equation is:
F = ma
where F is the force, m is the mass, and a is the acceleration.
So, if we know the mass of the object (m = 56 kg) and the force acting on it (F = 800 N), we can calculate the acceleration (a) by dividing the force by the mass:
a = F / m
a = 800 N / 56 kg
a = 14.28 m/s^2
So the acceleration is 14.28 m/s^2
Suppose a cart is being moved by a force. If suddenly a load is dumped into the cart so that the cart's mass is doubled, what happens to the cart's acceleration
According to the given statement If suddenly a load is dumped into the cart so that the cart's mass is doubled The acceleration slows.
Give an explanation of acceleration.which speaks of the rate of change in time of the speed and direction of motion. Something is said to be accelerating when it starts to move faster or slower. Even if the speed slows down, motion on a circle accelerates because the direction is constantly changing.
Does accelerating mean going faster?Any process in which the velocity changes is referred to as acceleration. There are only two ways to speed up because velocity consists of both a speed and a direction.
To know more about acceleration visit:
brainly.com/question/12550364
#SPJ4
Item 3 A 5kg object is released from rest near the surface of a planet such that its gravitational field is considered to be constant. The mass of the planet is unknown. After 2s, the object has fallen 30m. Air resistance is considered to be negligible. What is the gravitational force exerted on the 5kg object near the pl
So because acceleration of freely falling objects is constant, if a 5 kilogram object starts free falling at rest, its acceleration at 3 seconds is g=9.8 m/s2 or 32.2 ft/s2.
What happens to an object's weight as it travels through space away from a planet?As the gravitational pull of an object changes as it is moved further away from Earth or placed on another planet, so does the object's weight. Regardless of whether an object is on Planet, in deep space, or on the Moon, its mass will always be the same.
How can gravitational potential energy be used to determine weight?For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.
TO know more about acceleration visit :
https://brainly.com/question/12550364
#SPJ4
What area of glass is needed to support a mass of 1000 kg if the glass can withstand a maximum pressure of
20kPa?
Answer:
since, Pressure=Force/Area
then,Area=Force/Pressure
or,Area=20000/1000
:.Area=20 m²
The capacitor charge Q exponentially decays to zero when the RELAY is thrown to position N.O.
O True
O False
The statement is false. The capacitor doesn't charge Q exponentially decays to zero when the RELAY is thrown to position N.O.
As a capacitor charges, its voltage also rise.
V = Q/C
where Q = charge, V = voltage and C = capacitance
If the circuit contains a battery, a resistor and a capacitor all connected in series, then the following are true.
The battery voltage is fixed. And the capacitor voltage is rising. This clearly means that the current through the resistor is dropping.
I = (Vbatt - Vcap)/R
Since the current is dropping, then the rate at which charge is deposited on one plate and removed from the other one continuously drops.
So the charging of the capacitor also slows down because of the rising voltage.
But here the rise in the voltage is slowing down because of the rate of charges that are accumulating and leaving continuously is slowing down.
The slower rise in voltage causes a further slowing in the rate of charge movement which further slows down the rise in voltage which causes an even slower rate of charge movement.
A capacitor is referred as an electrical device which stores electrical charge when it is connected across the source of potential difference.
The total charge that the capacitor can be stored when it is placed across a potential V is given by
Q=CV
where C is the capacitance of the capacitor.
To know more questions about Capacitor refer to-
brainly.com/question/27393410#
#SPJ4
HELP HELP HELP HELP HELP
Answer:
Explanation: case b i think
Imagine that an object i falling through a long traight gla tube held vertical; air ha been removed
completely from the tube. The object doe not touch the wall of the tube. Will the object experience any
force of friction
No, the object will not experience any force of friction because there is no air or other medium in the tube to create friction against the object.
This is because friction is only possible when two objects are in contact with each other, or when an object is in contact with a medium like air or water. Since there is no air or other medium in the tube, there is nothing for the object to interact with. As a result, the object will fall through the tube without any external forces acting on it, such as friction. The motion of the object will be completely determined by the force of gravity and the object's inertia, and no other external forces will be present.
To know more about friction refer to the link brainly.com/question/13000653
#SPJ4
The current in a ________
Answer here
circuit is the same at every point?
Answer:
Series.
Explanation:
Current is the same in each device since there is only a single pathway for the charge to flow.
Which of the following objects is not a close approximation of a thermal emitter?
A) hot, thin gas
B) a star
C) a filament in a light bulb
D) you
E) a planet
A thermal emitter cannot be accurately approximated by hot, thin gas.
Devices known as thermal emitters radiate heat from a heated component. Some of them can be used as broadband infrared light sources for applications in spectroscopy, for instance, when the very low brightness is acceptable. Some of them are special types of incandescent lamps, sometimes in a very compact form. Their emission may be fairly continuous, but not always with high calibration accuracy. Unique designs, such as the globar and the Nernst lamp. These sources occasionally have an infrared filter installed that only allows the transmission of infrared light in a specific spectral range.
To know more about thermal emitter click here
https://brainly.com/question/10765323
#SPJ4
PLEASE ANSWER 100 POINTS!!
Juan drives his car around a curve at a speed of 17.0 m/s. Assume the curve can be approximated by an arc of a circle of radius 122.0 m. If a force of 7380 N is required to maintain the car’s circular motion, what is the car’s mass?
In ∑ F = m v^2r , both m and r are unknown but remain constant
What is the centripetal force that allows a car to move around a sharp curve in a roadway?
Any force, or set of forces, can accelerate an object radially or centripetally. A few examples include the tension in a tether ball's rope, the gravitational pull of the Earth on the Moon, the friction between roller skates and a rink's floor, the force of a banked road on a car, and the forces on a centrifuge's tube.
A centripetal force is any net force that produces uniform circular motion. The centripetal force and centripetal acceleration both point in the direction of the centre of curvature. Newton's second equation of motion states that net force equals mass times acceleration, or net F = m a.
The centripetal acceleration—a = a c—determines the rate of acceleration for uniform circular motion.
Consequently, the size of
To be learn more about produces refer to:
https://brainly.com/question/30141735?referrer=searchResults
#SPJ1
A hand pump suitable for inflating a football has a cylinder which is 0.24m in length and an internal cross-sectional area of 5.0 x 10 -4 m 2 . To inflate the football the pump handle is pushed in and air is pumped through a one-way valve. The valve opens to let air in to the ball when the air pressure in the pump has reached 150 000 pa. (Assume the air temperature remains constant}
a) If the pressure in the pump is initially 100 000 pa, calculate how far the piston must be pushed inwards before the one way valves opens.
(b) When the one-way valve opens the total pressure in the cylinder will be 150 000 pa. What force will be exerted on the piston by the air in the cylinder?
The distance the piston needs to travel for the valve to open is equal to the applied force divided by the area, which is equal to 0.1 m.
What is applied force?
Applied force is a type of force that is applied to an object or system in order to cause it to move, accelerate, or change its shape. This type of force is often generated by machines and other devices, and can also be exerted by humans.
Applied force can also be used to counter other forces, such as gravity, friction, and inertia. Applied force is measured in newtons (N).
To learn abot more applied force.
https://brainly.com/question/25239010
#SPJ1
The pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measures 15 kg/cm2 when its volume is 300 cm3 . Which equation can be used to find the pressure of the gas when the volume is changed
Answer:
P V = N R T is the universal gas equation
If only pressure and volume are considered (the other factors are constant)
P1 V1 = P2 V2
So P2 = (V1 / V2) * P1
This is also known as Boyle's Law:
P V = constant
You need to move a 117-kg sofa to a different location in the room. It takes a force of 109 N to start it moving. What is the coefficient of static friction between the sofa and the carpet
According to the question, the sofa and carpet have a static friction coefficient of 10.519.
Static Friction: What Is It?Static friction is defined as a force that maintains an object at rest. when someone tries to move a stationary thing across a platform without actually moving their body or the platform they were moving the object across, they face resistance.
Given:
Wight of sofa = 117 kg
Force= 109N
weight = mass × acceleration due to gravity 117 × 9.8 = 1146.6
the mass is given in kilograms, but work in newtons, thus we multiplied the mass by 9.8
acceleration = Zero
force = resistance
substitute force with 109N and resistance with 1146.6× μ
109 = 1146.6 × μ
μ = 1146.6/109
μ = 10.519
To know more about static friction visit :-
https://brainly.com/question/13000653
#SPJ4
Why can't we make parallax measurements for most of the stars in our galaxy?
a. Temperature
b. measuring its apparent brightness through two or more color filters and comparing these values
c. most stars are too far away to show a parallax shift
d. 100 times
C. Most stars are too far away to show a parallax shift.we make parallax measurements for most of the stars in our galaxy
What is galaxy?
Galaxy is a term used to describe a large system of stars, star clusters, interstellar gas, and dust bound together by gravity. Galaxies are often classified by their shape, size, and composition.
The Milky Way, our own galaxy, is a barred spiral galaxy, composed of hundreds of billions of stars and gas, bound together by gravity. Other types of galaxies include elliptical, irregular, and dwarf galaxies. Galaxies are often found clustered together in groups and superclusters, which are some of the largest structures in the universe.
To learn about more galaxy
https://brainly.com/question/13956361
#SPJ4
A photon is ___________________. a type of wave a form of kinetic energy a quantum of light an electrostatic force
The photon is typically described as an electromagnetic (EM) wave, such as the image below. These are the two components of the wave longitudinal and transverse.
What is a photon?A photon is a particle of light which essentially is a packet of electromagnetic radiation. The energy of the photon depends on its frequency (how fast the electric field and magnetic field wiggle, this needs better wording, for 'fast electric field' and 'wiggle'.
What is a photon made of?A photon is a tiny particle that comprises waves of electromagnetic radiation. As shown by Maxwell, photons are just electric fields traveling through space. Photons have no charge, no resting mass, and travel at the speed of light.
To know more about photon visit
https://brainly.com/question/14758126
#SPJ4
a typical gps satellites orbit at an altitude of 2.0 x10^7 m. find (a) the orbital period, and (b) the orbital speed of such a satellite
the orbital period is 7200sec or 2hours and orbital speed is 7,27m/s
(a) The orbital period of a satellite is the time it takes for the satellite to make one full orbit around the Earth. To calculate the orbital period, we can use the equation: T = 2 * pi * (a^3/GM)^(1/2) where T is the orbital period, a is the semi-major axis of the orbit (which is equal to the altitude of the satellite), pi is approximately 3.14, G is the gravitational constant (approximately 6.67 x 10^-11 m^3/kgs^2), and M is the mass of the Earth (approximately 5.98 x 10^24 kg).Plugging in the given altitude of 2.0 x 10^7 m for a and the known values for pi, G, and M, we get:
T = 2 * pi * (2.0 x 10^7 m)^3/ (6.67 x 10^-11 m^3/kgs^2 * 5.98 x 10^24 kg)^(1/2)
Simplifying, we get:
T = 2 * pi * (8.0 x 10^21 m^3/ (4.03 x 10^34 kg*m^3/s^2))^(1/2)
T = 2 * pi * (1.98 x 10^13 s^2/kg)^(1/2)
T = 7200 sec (or 2 hours)
(b) The orbital speed is the distance traveled by the satellite in one hour. We can calculate the orbital speed using the equation v = 2πa/T
Plugging in the values of a and T we get :
v = 2π (2.0 x 10^7 m) / 7200 sec
v = 7,27 m/s
To learn more about satellites here:
https://brainly.com/question/9266911
#SPJ4
For which of the regions shown in the figure is the observed effect the strongest? O Region B O Region C
O The observed effect is the same for all three regions O Region A
D) Region A. The observed effect is strongest in Region A, as this region contains the most extreme temperatures and the most extreme change in temperature over time.
What is temperatures ?
Temperatures refer to the degree of hot or cold that something is. It is typically measured in either Celsius or Fahrenheit, with Celsius being the most common metric used.
Temperatures can range from extreme cold to extreme heat, with average temperatures ranging from -40 to 40 degrees Celsius. Temperatures can be affected by a number of factors, including altitude, latitude, and proximity to the ocean. Different climates can experience vastly different temperatures, making it important to know the temperature of a particular area before traveling.
To learn about more temperatures.
https://brainly.com/question/24746268
#SPJ4
Why is solar energy called renewable?
Solar energy is called renewable because it is abundant in nature and can be filled repeatedly.
Energy is power or strength that can be used for various activities. Energy cannot be created but can be changed from one form to another and can be transferred.
Solar energy is energy produced from the radiant heat of sunlight that can be utilized by all living things on earth, both humans, animals and plants. Solar energy can also be used as an alternative energy because it is environmentally friendly. This energy is included in renewable energy because the amount is abundant and endless even though it is used in large quantities.
Learn more about renewable energy at:
https://brainly.com/question/17373437
#SPJ4
If a net force of 10. Newtons acts on a 6.0-kilogram mass for 8.0 seconds, the total change of momentum of the mass is
The object's momentum will vary by an amount equal to 80 N-s.
Describe momentum.
The relationship between a particle's mass and velocity determines its momentum. Having both a force and motion, it has both a direction and a magnitude. The force exerted on a particle is equal to the rate at which its momentum is gaining momentum over time, according to Isaac Newton's second equation of motion.
Newton's second law states that if a steady force acts on a particle for a predetermined period of time, the impulse, which is the result of the force and the intervals (the impulse), is equal to the change in momentum.
The time it would take a constant action to bring a particle to rest, on the other hand, is the measure of a particle's momentum.
According to the details in the query,
The system's starting momentum is 0.
F = ma
a = F/m
a = 10/6
a = 1.67 m/s²
utilize the motion equation,
v = u + at
v = u + (1.67)(8) (8)
v = 13.33 m
The momentum will then be,
p = mv
p = 6 × 13.33
p = 80 N-s.
To learn more about Momentum from given link
https://brainly.com/question/27020102
#SPJ4
If 10.0 g of water is initially heated from 20°C to 100°C, and then it is continually heated through its phase change (it is vaporised), what is the total amount of energy necessary to carry out this process?
Answer:
The total amount of energy necessary to carry out this process is 22600 joules (J).
Explanation:
This is because the heat of vaporization (the energy required to change the state of water from liquid to gas) of water is 2260 J/g. Since 10.0 g of water is being heated, the total amount of energy needed is 10.0 g * 2260 J/g = 22600 J.
A spring with a cart at its end vibrates at frequency 5.0Hz\;Hz .
A. Determine the period of vibration.
B. Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged.
C. Determine the frequency if the spring constant doubles while the cart's mass remains the same.
A. The period of vibration is the time it takes for one complete oscillation to occur. It is the reciprocal of the frequency. The period of vibration can be calculated using the formula:
Period = 1/Frequency
Given that the frequency of vibration is 5.0Hz, the period of vibration is:
Period = 1/5.0 s
Period = 0.2 s
B. If the cart's mass is doubled while the spring constant remains unchanged, the frequency of vibration will not change. This is because frequency is dependent on the spring constant and the mass of the cart and not on the amplitude of the oscillation.
C. If the spring constant doubles while the cart's mass remains the same, the frequency of vibration will also double. This is because frequency is directly proportional to the square root of the spring constant. Therefore, doubling the spring constant would lead to an increase in the frequency of vibration by a factor of square root of 2.
Learn more about Frequency here: https://brainly.com/question/5102661
#SPJ4
The half life of a radioactive substance is the time taken for the activity to halve. Use the graph to calculate the half life of the radioactive isotope.
Radioactive element which keeps on decaying over the time. Decay of radioactive element always comes under first order kinetics. Therefore the half life time of radioactive substance is 2seconds.
What is half life?Half life tells about the time at which the radioactive material decays to half of its initial concentration.
Mathematically,
half life time=0.693/ rate constant of the decay
The half life of a radioactive substance is the time taken for the activity to halve. Using the graph to calculate the half life of the radioactive isotope, we find that activity that is 3500 so, half of this activity is 17500 which is corresponding to time 2 seconds.
Therefore the half life time of radioactive substance is 2seconds.
To know more about half life, here:
brainly.com/question/21464063
#SPJ1
replace the force system acting on the post by a resultant force and couple moment at point o
By replacing the force system acting on the post with a resultant force and a couple of moments at point o we get total momentum of 1478.85 ft-lb.
As per the figure we have 3 forces: At the top 300lb left side 150lnb and at the middle 200lb.
first, we have to break down the forces into x and y components.
Now calculating each force separately:
∑Fₓ=300lb+cos 30°-150×4/3+200
=259.81-120+200
∑Fₓ=339.81lb.
Now, calculate the sum of y components.
∑Fy=300 sin 30°+150×3/5
∑Fy=300 sin 30°+90
∑Fy=240lb
Now we have to x and y components by these values we can find the actual force.
|F|=√Fx²+Fy²
|F|=√(339.81)²+(240)² α=tan⁻¹(∑Fₓ/∑Fy)
|F|=√115470.83+57600 α=tan⁻¹(339.81/240)
|F|=√173070 α=35.23°
|F|=416.02 and 35.23°
the sum of moments at O
∑Mo=-Fx₃×2+Fx₂×4-Fx₁×6
∑Mo=-200(2)+4/5 150*4-3000cos30°(6)
∑Mo=-400+480-277.65
=1478.85ftlb
∑Mo=1478.85ftlb
To know more about resultant force:
https://brainly.com/question/25239010
#SPJ4
in order to catch a ball, a baseball player moves his or her hand backward in the direction of the balls motion. doing this reduces the force of impact on the players hand principally because....
a.) the time of impact is decreased
b.) the time of impact is increased
c.)the velocity of the hand is reduced
d.) the momentum of impact is reduced
e.) none of the above
The right response is B: To catch a ball, a baseball player moves his or her hand backward in the direction of the ball's motion because the time of impact is increased.
By doing this, the force of impact on the player's hand is mostly reduced. The force needed to stop the ball will decrease as the amount of time it takes to reach zero motion increases. Consider a ball approaching you with 100 units of momentum. To stop the ball, a 100-unit impulse would be necessary. No matter how the impulse is generated, there must be 100 units of it. A force is an effect that can alter an object's motion in physics.
Learn more about force here
https://brainly.com/question/13191643
#SPJ4
A worker is testing a multiple pulley system to estimate the heaviest object that he could lift. The largest downward force he can exert is equal to his weight, 875 N. When the worker moves the rope 1. 5 m, the object moves 0. 25 m. What is the heaviest object that he could lift?
Force is positive if the mass accelerates downward. Use the formula T = M x A to determine the tension in the rope.
How is the force in a pulley system calculated?That direction is the pull that is referred to as tension. As a result, the tension will point toward the string or rope and away from the mass.
A mass suspended by a string is pulled upward by the string, exerting an upper force that shifts the tension to the upper side.
For instance, you should know that T = 9g x 2m/s2 = 18gm/s2 or 18N when trying to calculate T in a straightforward pulley system with a linked mass of 9g and an upward acceleration of 2m/s2 (newtons). The direction in which a string expands changes when it passes over an ideal massless pulley, but the string's tension is unaffected.
To learn more about pulley system refer to:
brainly.com/question/19923534
#SPJ4
A 2kg block is initially at rest on a horizontal frictionless table. A force of 15N is then exerted on the block at an angle of 37° below the horizontal. The change in kinetic energy after moving 3m is?
Answer:
Approximately [tex]36\; {\rm J}[/tex].
Explanation:
Under the assumption, there is no friction to hinder the motion of the block. As a result, the increase in the kinetic energy of the block would be equal to the external work done on the block.
Let [tex]F[/tex] denote this magnitude of this force, let [tex]s[/tex] denote the magnitude displacement, and let [tex]\theta[/tex] denote the angle between this force and displacement. To find the work that this force has done on the block, use the formula:
[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta)\end{aligned}[/tex].
For example, since the block in this question is moving along a horizontal table, displacement of the block would be in the horizontal direction. It is given that the angle between this force and the horizontal direction is [tex]37^{\circ}[/tex]. Thus, the angle between the force and the displacement would be [tex]\theta = 37^{\circ}[/tex].
Magnitude of this force is [tex]F = 15\; {\rm N}[/tex], while magnitude of displacement is [tex]s = 3\; {\rm m}[/tex]. The work done on this block would be:
[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta) \\ &= (15\; {\rm N})\, (3\; {\rm m})\, \cos(37^{\circ}) \\ &\approx 36\; {\rm N\cdot m} = 36\; {\rm J}\end{aligned}[/tex].
Hence, the kinetic energy of this block would increase by [tex]36\; {\rm J}[/tex].