Answer:
1.328m/s
Explanation:
Because it takes less meters per second compared to 1.351 m/s. Hope it helps!
What makes up the atomic mass of an element?
the sum of protons and neutrons in the nucleus
the sum of neutrons and electrons in the shell
the difference between protons and electrons
the difference between electrons and neutrons
Answer: The sum of protons and neutrons in the nucleus
Explanation: The Formula For Atomic Mass or Mass Number is
Atomic mass= Protons + Neutrons
7. A particle of mass 3 kg is held in equilibrium by two light unextensible strings. One string is horizontal, as shown in Figure 7.30. The tension in the horizontal string is PN and the tension in the other string is N. Find a) the value of 0 b) the value of P.
The tension in the strings are 31.47 and 19.25 N respectively.
Mass of the block, m = 3 kg
From the figure, consider the vertical components,
T₁ sin45° + T₂ sin30° = mg
(T₁/√2) + (T₂/2) = 3 x 9.8 = 29.4
Also, consider the horizontal components,
T₁ cos45° = T₂ cos30°
T₁/√2 = T₂ x√3/2
T₁ = T₂ x √3/2 x √2
So,
T₁ = 0.612T₂
Applying in the first equation,
(T₁/√2) + (T₂/2) = 29.4
(0.612T₂/1.414) + 0.5T₂ = 29.4
0.434 T₂ + 0.5 T₂ = 29.4
0.934 T₂ = 29.4
Therefore, the tension,
T₂ = 29.4/0.934
T₂ = 31.47 N
So, the tension,
T₁ = 0.612 T₂
T₁ = 0.612 x 31.47
T₁ = 19.25 N
To learn more about tension, click:
https://brainly.com/question/30037765
#SPJ1
D Learning Task 1: In your notebook, define the following terms in your own words. fitness 8. coordination 2. health related fitness 9. agility 3. skill related fitness 10. speed 4. body composition Il port 5. cardiovascular endurance 12 balance 6. muscular strength 13 reaction time 7. Nexibility
Bibigyan ko ng verified answer
The wellbeing of a human body encompasses the fitness of the body:
Physically,Mentally, and Health-wiseWe take good care of the body to maintain proper health conditions and be free from disease, by doing so, we perform some fitness exercises and some of the following terms are defined below.
Fitness can be defined as a measure of the body's capacity to perform daily tasks successfully and efficiently.Coordination is the act of organizing or making diverse people work together, to achieve a particular objective in an organization.Health-related fitness refers to fitness exercises performed to maintain a perfect health condition and status quo of the body.Agility is described as the ability to change directions rapidly and easily at high speeds.
Skill-related fitness refers to a fitness exercise that helps to resharpen your posture and offer a professional outlook in your day-to-day roles.
Speed is defined as the change of an object's distance in relation to time.
Body composition is defined as the proportion of the fat-free mass of the body depending on several factors such as age, gender, physical activities, etc.
Cardiovascular endurance is the capacity of the heart, lungs, and blood to provide appropriate amounts of oxygen to the cells in order to fulfill the demands of continuous physical activity exertion.
Balance is the ability of the body to maintain an appropriate position in space.
Muscular strength is the maximum amount of force the muscle can produce in just a single muscular contraction.
Reaction time is the amount of time it takes a body to respond to stimuli.Nexibility is a physical process where objects have the tendency of being knitted together.
Learn more about physical wellbeing here:
https://brainly.com/question/1492300
Figure 3 shows two American football players running towards
each other. They collide and cling together in a tackle. Calculate
the velocity that they move together with once they have collided.
Figure 3
21
m = 80 kg
v = 8.0 m/s
+
v=-5.5 m/s
Mass=.
Grade
7-9
m = 100 kg
[To
Two American football players running towards each other with masses m1 and m2. Let m1 = 70 kg and m2 = 100 kg, respectively. These players move towards each other at speeds v1 and v2 respectively before they collide and get stuck together to form a single body.
According to the law of conservation of momentum, the momentum before the collision is equal to the momentum after the collision. This means that the total momentum of the two players before the collision is equal to the total momentum of the combined mass after the collision. Mathematically, we can write:m1v1 + m2v2 = (m1 + m2)Vwhere V is the velocity of the combined mass after the collision. Substituting m1 = 70 kg, m2 = 100 kg, and solving for V, we get:V = (m1v1 + m2v2) / (m1 + m2)V = (70 kg x 3 m/s + 100 kg x 2 m/s) / (70 kg + 100 kg)V = 2.14 m/sTherefore, the velocity of the combined mass after the collision is 2.14 m/s.For such more question on velocity
https://brainly.com/question/80295
#SPJ8
1) Determine the magnitude of energy for each of the blanks on the diagram. Give the correct values for 1A, 1B, and 1C.
2)Explain how the energy transformations follow the Law of Conservation of energy throughout the skier's path. Must answer in complete sentences.
3)Explain how the situation shown above would be different if the skier experiences friction while traveling downhill. Include the terms kinetic energy, heat energy, mechanical energy, total energy and friction. Must answer in complete sentences.
Answer:
Explanation: y’all taking the same test as me hahahahah I got the answers but I can’t attach the picture here so hit me up on snap daniela_0789
The total energy at each point in the path of the skier is constant as the
skier travels down the slope.
1) 1A P.E. = 15,000 J, 1B K.E. = 19,000 J, 1C, P.E. = 0 J2) The mechanical energy of the system is constant3) Energy is given off as heat due to friction such that the total energy of the system is not conserved if friction is experiencedReasons:
1) Given that the total mechanical energy, M.E. is constant, we have;
M.E. = Kinetic Energy, K.E. + Potential Energy, P.E. = Constant
M.E. = K.E. + P.E.
At the start, we have;
P.E. = 25,000 J
K.E. = 0 J
Therefore;
M.E. = 25,000 J + 0 J = 25,000 J
At point 1A, we have, K.E = 10,000 J
P.E. = M.E. - K.E.
Therefore;
P.E. = 25,000 - 10,000 = 15,000
The potential energy at point 1A, P.E. = 15,000 J
At point 1B, we have; PE = 6000 J
K.E. = M.E. - P.E.
Therefore;
K.E. = 25,000 J - 6,000 J = 19,000 J
At 1B, K.E. = 19,000 J
At point 1C, we have; K.E. = 25,000 J
Therefore;
P.E. = 25,000 J - 25,000 J = 0 J
At 1C P.E. = 0 J
2) The Law of Conservation of Energy states that the energy in a closed
system is constant.
The energy transformation follows the Law of Conservation of energy
given that the total mechanical energy is constant at all points along the
path.
3) The energy of a system is not conserved when a external force is
applied.
If the skier experiences friction, the force of friction does work to reduce
the speed of the skier, thereby reducing the kinetic energy at a point
downslope, where the potential energy has already been reduced,
resulting in an reduction in the mechanical energy of the system.
Therefore, if the skier experiences friction, the total energy of the system is
not conserved, as energy will be consumed in the work done by friction
which is converted to heat and sound energies.
Learn more about the Law of Conservation of Energy here:
https://brainly.com/question/2950237
Deduce the diamension of work
Answer:
Explanation:Quantity
Dimension
Unit
SI Symbol
Formula
Base units:
length
[L]
meter
m
mass
[M]
kilogram
kg
temperature
[Q]
kelvin
K
time
[T]
second
s
Derived units:
area
[L2]
square meter
m2
volume
[L3]
cubic meter
m3
velocity
[L T-1]
meter per second
m s-1
acceleration
[L T-2]
meter per second squared
m s-2
density
[M L-3]
kilogram per cubic meter
kg m-3
force
[M L T-2]
newton
N
kg m s-2
pressure
[M L-1 T-2]
pascal
Pa
N m-2
stress
[M L-1 T-2]
pascal
Pa
N m-2
energy
[M L2 T-2]
joule
J
N·m
quantity of heat
[M L2 T-2]
joule
J
N·m
work
[M L2 T-2]
joule
J
N·m
power
[M L2 T-3]
watt
W
J s-1
viscosity, dynamic
[M L-1 T-1]
pascal-second
Pa·s
viscosity, kinematic
[L2 T-1]
square meter per second
m2 s-1
specific heat
[L2 Q-1 T-2]
joule per kilogram-kelvin
J kg-1 K-
7. Physical responses to stress can include
a. faster breathing.
b. tense muscles.
c. widening of the pupils.
d. All of the above
Answer:
D
Explanation:
I'm not sure but I think so haha
Dory has a mass of 0.5 kg and she is has a net force of 1 N on her as she starts to swim
forward.
Her acceleration is
m/s2
Answer:
a = 2 m/s²
Explanation:
When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
For more such questions on angular velocity, click on:
https://brainly.com/question/29566139
#SPJ8
a boy pushes a lever down 2 meters with a force of 75 newtons. The box at the other end with a weight of 50 newtons move up 2.5 meters
A boy pushes a lever down 2 meters with a force of 75 newtons. The box at the other end with a weight of 50 newtons move up 2.5 meters. The efficiency of this machine is 83.33%.
What is efficiency?The energy lost during a machine's operation due to heat and friction is measured as the machine's efficiency. Given that work is the transformation of kinetic energy, a machine's efficiency can be expressed as the ratio of output work divided by input work less work wasted due to friction and heat. It is unitless.
Using the formula:
Efficiency=\(\frac{O}{I}\)×100
where,
O is output work and,
I is the input work.
Work done= Force × displacement
Output work = 50 × 2.5 = 125J
Input work = 75 × 2 = 150J
Substituting the values and solving for efficiency:
Efficiency = 83.33%
To know more about Work, visit:
https://brainly.com/question/18094932
#SPJ9
Complete question:
A boy pushes a lever down 2 meters with a force of 75 Newtons. The box on the other end weighs 50 Newtons and moves up 2.5 meters. What is the efficiency of this machine?
How do you make a mirages?
Answer: when the ground is very hot and the air is cool. The hot ground warms a layer of air just above the ground. When the light moves through the cold air and into the layer of hot air it is refracted (bent). A layer of very warm air near the ground refracts the light from the sky nearly into a U-shaped bend.
Explanation:
Calculate the volume of a parallelepiped with sides give as
a
=
(
7,2
,
4
)
,
b
=
(
4,7
,
6
)
and
c
=
(
3,4
,
7
)
Select one:
105
cubic units
125
cubic units
115
cubic units
135
cubic units
To calculate the volume of a parallelepiped given the sides, we can use the scalar triple product. The formula for the volume of a parallelepiped with sides a, b, and c is:
Volume = |a · (b × c)|
where · represents the dot product and × represents the cross product.
Using the given sides:
a = (7, 2, 4)
b = (4, 7, 6)
c = (3, 4, 7)
First, calculate the cross product of b and c:
b × c = (7*7 - 4*4, 6*3 - 7*7, 4*4 - 2*3)
= (49 - 16, 18 - 49, 16 - 6)
= (33, -31, 10)
Next, calculate the dot product of a and the cross product (b × c):
a · (b × c) = 7*33 + 2*(-31) + 4*10
= 231 - 62 + 40
= 209
Finally, take the absolute value of the result to obtain the volume:
Volume = |209| = 209 cubic units
Therefore, the correct answer is:
209 cubic units
The same spring is stretched 5 m. What was the force?
Answer:
La fuerza del resorte es directamente proporcional a la extensión del resorte. En otras palabras, si jalas mucho de la masa, la fuerza será intensa; si jalas poco de la masa, la fuerza será débil.
Explanation:
What are the systems of units? Explain each of them.
THERE ARE COMMONLY THREE SYSTEMS OF UNIT. THEY ARE:-
• CGS System- (Centimeter-Gram-Second system) A metric system of measurement that uses the centimeter, gram and second for length, mass and time.
• FPS System- (Foot–Pound–Second system).
The system of units in which length is measured in foot , mass in pound and time in second is called FPS system. It is also known as British system of units.
• MKS System- (Meter-Kilogram-Second system) A metric system of measurement that uses the meter, kilogram, gram and second for length, mass and time. The units of force and energy are the "newton" and "joule."
How is the pressure of a gas related to its concentration of particles?
Answer:
Explanation:
Pressure will expand a gas, enlarging its volume and reducing its density and concentration of particles. Pressure will magnify a gas, developing its volume and multiplying its density and concentration of particles.
Increasing the pressure of a gas is exactly the same as increasing its concentration. If you have a given mass of gas, the way you increase its pressure is to squeeze it into a smaller volume. If you have the same mass in a smaller volume, then its concentration is higher.
A sprinter accelerates at 8mps, he weights 850 grams. What
force is he exerting?
What is the acceleration of a 25 kg mass pushed by a 10 N force?
Answer:
0.4 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
f is the force
m is the mass
From the question we have
\(a = \frac{10}{25} = \frac{2}{5} \\ \)
We have the final answer as
0.4 m/s²Hope this helps you
Answer:
0.4 m/s²
Explanation:
hope this helps
I need help with this please!!!!
Answer:
1.84 hours
I hope it's helps you
Yellow light passes through a diffraction grating. it's first order maximum occurs at an angle of 21.2. What is the slit separation d?
Answer:
19.284
or
9.33
Explanation:
Answer:
1.66
Explanation:
Found answer on chegg. Works for acellus
Tick the correct drills you can use to practise digging in volleybell a. double decker b. shuffle steps c. knock out drill 1. toss catch drill
The correct drills that can be used to practice digging in volleyball are b. shuffle steps and c. knock out drill.
b. Shuffle steps: Shuffle steps are an essential footwork drill for improving defensive movements, including digging.
In this drill, players shuffle laterally in a low defensive stance, simulating the movements required to dig a ball. It helps players develop quick and efficient footwork, enabling them to react and move quickly to reach the ball for a dig.
c. Knock out drill: The knock out drill focuses on improving a player's reaction time and defensive skills. In this drill, players form a line and take turns receiving rapid hits or "knocks" from a coach or teammate.
The objective is to successfully dig each hit and keep the ball in play.
This drill helps players develop their reflexes, positioning, and technique when digging in various directions and angles.
a. Double decker and 1. toss catch drill are not specific drills for practicing digging in volleyball. Double decker is a term used to describe a defensive formation, while the toss catch drill is more focused on developing ball control and setting skills rather than digging.
By incorporating shuffle steps and the knock out drill into practice sessions, players can enhance their digging abilities, improve their defensive movements, and develop the necessary skills to successfully retrieve hard-driven balls in a game situation.
For more questions on practice digging
https://brainly.com/question/13404876
#SPJ8
An object is placed at several different distances to the left of the lenses and mirrors (focal length = f). For each case, draw the 3 principal rays to locate the image and then (S.A.L.T.) [Size, Attitude, Location, Type] the image.
To determine the image characteristics using the 3 principal rays and SALTS (Size, Attitude, Location, Type), we'll consider both lenses and mirrors separately. Here's how you can analyze each case:
Lenses:
Place an object at different distances to the left of a lens with a focal length (f).
a) Object placed beyond 2f:
In this case, the object is placed far beyond twice the focal length of the lens.
Principal ray 1: A ray parallel to the principal axis will pass through the focal point on the opposite side.
Principal ray 2: A ray passing through the optical center will continue in a straight line without any deviation.
Principal ray 3: A ray passing through the focal point on the object side will emerge parallel to the principal axis.
The image will be formed on the opposite side of the lens, between the focal point and twice the focal length.
SALTS:
Size: The image will be smaller than the object.
Attitude: The image will be inverted.
Location: The image will be located between the focal point and twice the focal length.
Type: The image will be real.
b) Object placed at 2f:
In this case, the object is placed at twice the focal length of the lens.
Principal ray 1: A ray parallel to the principal axis will pass through the focal point on the opposite side.
Principal ray 2: A ray passing through the optical center will continue in a straight line without any deviation.
Principal ray 3: A ray passing through the focal point on the object side will emerge parallel to the principal axis.
The image will be formed on the opposite side of the lens at twice the focal length.
SALTS:
Size: The image will be the same size as the object.
Attitude: The image will be inverted.
Location: The image will be located at twice the focal length.
Type: The image will be real.
c) Object placed between f and 2f:
In this case, the object is placed between the focal point and twice the focal length of the lens.
In this case, the object is placed far beyond twice the focal length of the mirror.
Principal ray 1: A ray parallel to the principal axis will reflect through the focal point on the same side.
Principal ray 2: A ray passing through the focal point on the object side will reflect parallel to the principal axis.
Principal ray 3: A ray passing through the center of curvature will reflect back along the same path.
The image will be formed on the opposite side of the mirror, between the focal point and twice the focal length.
Learn more about focal length on:
https://brainly.com/question/31755962
#SPJ1
At the base of a hill, a 90 kg cart drives at 13 m/s toward it then lifts off the accelerator pedal). If the cart just barely makes it to the top of this hill and stops, how high must the hill be?
Answer:
8.45 m
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 90 Kg
Initial velocity (u) = 13 m/s
Final velocity (v) = 0 m/s
Height (h) =?
NOTE: Acceleration due to gravity (g) = 10 m/s²
The height of the hill can be obtained as follow:
v² = u² – 2gh (since the cart is going against gravity)
0² = 13² – (2 × 10 × h)
0 = 169 – 20h
Rearrange
20h = 169
Divide both side by 20
h = 169/20
h = 8.45 m
Therefore, the height of the hill is 8.45 m
what is the meaning of the word physics
Answer:
the scientific study of natural forces such as light, sound, heat, electricity, pressure, etc.
Explanation:
mark as brainliest
Does light travel faster in seawater or in fresh water? Does light travel faster in seawater or in fresh water? Light travels faster in seawater, because the index of refraction is smaller in seawater. Light travels faster in fresh water, because the index of refraction is smaller in fresh water. Light travels faster in fresh water, because the index of refraction is larger in fresh water. Light travels faster in seawater, because the index of refraction is larger in seawater.
No
because that is a light
The light travel faster in fresh water as compare to sea water.
When light goes from denser to rare medium the speed of light is increases.When light travel from rare to denser medium the speed of light is decreases.The reflective index of denser medium is more as compare to rare medium.The reflective index of sea water is more as compare to fresh water.Hence, the light travel faster in fresh water as compare to sea water.
Learn more:
https://brainly.com/question/10769980
A loop of wire carrying a current of 2.0 A is in the shape of a right triangle with two equal sides, each 15 cm long. A 0.7 T uniform magnetic field is parallel to the hypotenuse. The total magnetic force on the two equal sides has a magnitude of:Group of answer choices0.30 N0 N0.51 N0.41 N
Answer:
the total magnetic force on the 2 sides of the wire is 0.30 N
Option a) 0.30 N is the correct answer
Explanation:
Given the data in the question;
both the sides of the right angled triangle is the same and the magnetic is in the plane of the triangle and is perpendicular to the hypotenuse.
hence, angle between the magnetic field and both the sides of the triangle is 45 degrees.
∅ = 45°
I = 2.0 A
L = 15 cm = 0.15 m
B = 0.7 T
Total magnetic force on the 2 sides of the wire will be;
F = 2BILsin∅
we substitute
F = 2 × 0.7 × 2.0 × 0.15 × sin(45°)
F = 0.42 × 0.70710678
F = 0.2970 ≈ 0.30 N
Therefore, the total magnetic force on the 2 sides of the wire is 0.30 N
Option a) 0.30 N is the correct answer
why ultrasonic sound waves can pass through hard objects?
Answer: At such high frequencies it is very difficult for a sound wave to propagate efficiently; indeed, above a frequency of about 1.25 × 1013 hertz it is impossible for longitudinal waves to propagate at all, even in a liquid or a solid
What is the role of positive charges and negative charges in the overall charge of a body?
Answer:
Inside an atom are protons, electrons and neutrons. The protons are positively charged, the electrons are negatively charged, and the neutrons are neutral. Therefore, all things are made up of charges. For example, if you rub your shoe on the carpet, your body collects extra electrons.
Explanation:
The increase or decrease in the number of positive or negative charges changes the overall charge of the body.
What is the electric charge?Electric charge is the physical property of matter that causes them to experience a force in the presence of the electric field.
The net charge of a body is neutral when a number of positive and negative charges is equal in the body.
Therefore, the increase or decrease in the number of positive or negative charges changes the overall charge of the body.
Learn more about electric charge:
https://brainly.com/question/2017486
You are walking on a moving walkway in the airport. The length of the walkway is 59.1 m. If your velocity relative to the walkway is 2.35 m/s, and the walkway moves with a velocity of 1.85 m/s, how long will it take you to reach the other end of the walkway
Answer:
14.1seconds approx
Explanation:
Given data
Distance= 59.1m
Your velocity= 2.35m/s
Walkway velocity= 1.85m/s
Total velocity= 2.35+1.85= 4.2m/s
We know that
Velocity= distance/time
time= distance/velocity
substitute
time= 59.1/4.2
time= 14.07
time=14.1seconds approx
Hence the time is 14.1seconds approx
Two blocks, 1 and 2, are connected by a massless string that passes over a massless pulley. 1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. 2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105
. The figure illustrates the configuration.
A system of two blocks connected by a rope passing over a pulley. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle. Box M subscript 1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M sub 1 and the surface is mu subscript 1. Box M subscript 2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle. The coefficient of friction between box M sub 2 and the surface is mu subscript 2.
The force acting on the system of two blocks connected by a rope passing over a pulley is -13.26 N.
The system of two blocks connected by a rope passing over a pulley are M1 and M2, where M1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M1 and the surface is mu subscript 1. M2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle.
The coefficient of friction between box M2 and the surface is mu subscript 2. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle.M1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. M2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105.The free-body diagram of M1 shows that the weight of M1 acts straight downwards (vertically) and the normal force acts perpendicular to the slope.
The force of friction opposes the motion and acts opposite to the direction of motion.M1 = 2.25 kgTheta subscript 1 = 42.5 degreesMu subscript 1 = 0.205g = 9.81 m/s²In the free-body diagram of M2, the normal force acts perpendicular to the incline of the slope, the weight of the object acts vertically downwards and parallel to the incline, and the force of friction opposes the motion and acts opposite to the direction of motion.M2 = 5.55 kgTheta subscript 2 = 33.5 degreesMu subscript 2 = 0.105g = 9.81 m/s²The tension in the string is the same throughout the rope. Since the masses are being pulled by the same rope, the acceleration of the objects is the same as the acceleration of the rope.
The tension in the string is directly proportional to the acceleration of the objects and the rope.A system of two blocks connected by a rope passing over a pulley has a total mass of M. The acceleration of the system is given by the formula below:a = [(m1-m2)gsin(θ1) - μ1(m1+m2)gcos(θ1)] / (m1 + m2)Where, μ1 = 0.205 is the coefficient of friction of block M1θ1 = 42.5 degrees is the angle of the incline of block M1M1 = 2.25 kg is the mass of block M1M2 = 5.55 kg is the mass of block M2g = 9.81 m/s² is the acceleration due to gravitysinθ1 = sin 42.5 = 0.67cosθ1 = cos 42.5 = 0.75The acceleration of the system is:a = [(2.25-5.55)(9.81)(0.67) - (0.205)(2.25+5.55)(9.81)(0.75)] / (2.25 + 5.55)a = -1.7 m/s² (the negative sign indicates that the system is accelerating in the opposite direction).
The force acting on the system is given by:F = MaWhere M is the total mass of the system and a is the acceleration of the system. The total mass of the system is:M = m1 + m2M = 2.25 + 5.55M = 7.8 kgThe force acting on the system is:F = 7.8(-1.7)F = -13.26 N (the negative sign indicates that the force is acting in the opposite direction).
for more question on force
https://brainly.com/question/12785175
#SPJ8
A marble is thrown downward at a speed of 10.0 m/s from the top of a 30.0 m tall
building. 0.50 s later, a second marble is thrown downward. At what speed must the
second marble be thrown so that the two marbles reach the ground at the same time?
The speed of the second marble must be 14.8 m/s so that the two marbles reach the ground at the same time.
What is the time taken bey the first stone to reach the ground?The time taken by the first stone to reach the ground is calculated using the formula below:
h = ut + ¹/₂gt²
where:
h is the heightu is initial velocity or speedt is timeg is acceleration due to gravityFrom the data provided;
h = 30, u = 10m/s, g = 9.8 m/s
30 = 10t + 0.5 * 9.8t²
30 = 10t + 4.9t²
4.9t² + 10t - 30 = 0
t = 1.65 s
For the second marble, time taken = 1.65 - 0.50
t = 1.15 s
Initial velocity, u will be:
30 = u(1.15) + 0.5 * 9.8 * 1.15²
1.15u = 30 - 12.96
u = 14.8 m/s
Learn more about velocity at: https://brainly.com/question/25749514
#SPJ1