The drawing shows a 26.1-kg crate that is initially at rest. Note that the view is one looking down on the top of the crate. Two forces, and , are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is k = 0.347. Determine the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the crate.
Answers
Answer:
(a). The magnitude of the acceleration of the crate is 1.44 m/s².
(b). The direction of the crate is 34.60°.
Explanation:
Given that,
Mass of crate = 26.1 kg
Coefficient of kinetic friction = 0.347
We need to calculate the resultant force
Using figure
[tex]F'=\sqrt{(F_{x}+F_{z})^2+F_{y}^2}[/tex]
Put the value into the formula
[tex]F'=\sqrt{(88\cos{55}+54)^2+(88\sin 54)^2}[/tex]
[tex]F'=126.4\ N[/tex]
(a). We need to calculate the acceleration of the crate
Using formula of sum of force
[tex]\sum{F}=F'-\mu N[/tex]
[tex]ma_{total}=F'-\mu mg[/tex]
[tex]a_{total}=\dfrac{F'}{m}-\mu g[/tex]
Put the value into thr formula
[tex]a_{total}=\dfrac{126.4}{26.1}-0.347\times9.8[/tex]
[tex]a_{total}=1.44\ m/s^2[/tex]
(b). We need to calculate the direction
Using formula of the direction
[tex]\theta=\tan^{-1}(\dfrac{F_{y}}{F_{x}+F_{z}})[/tex]
Put the value into the formula
[tex]\theta=\tan^{-1}(\dfrac{88\sin55}{88\cos55+54})[/tex]
[tex]\theta=34.60^{\circ}[/tex]
Hence, (a). The magnitude of the acceleration of the crate is 1.44 m/s².
The direction of the crate is 34.60°.
Related Questions
How quickly would a 65kg object accelerate if the person applied a 500N force?
Answers
Answer:
[tex]a = 7.69\: {m(s)}^{ - 2} [/tex]
Explanation:
[tex]f = ma \\ a = \frac{f}{m} = \frac{500}{65} = \frac{100}{13} \\ a = 7.6923076923 \: {m(s)}^{ - 2} [/tex]
Why does the crane need a counterbalance?
Answers
Answer:
To make the lifting more efficient. It lets there be less taxing and saves a ton of energy!!
Explanation:
A falcon is diving at a speed of 30m/s. It accelerates at a rate of 40m/sand reaches a speed of
100m/s. Calculate the distance it travels during its acceleration.
Answers
Answer:
Reasd through the explanartion first :)
Explanation:
Initial velocity, u = 30 m/s
Final velocity, v = 100 m/s
Acceleration, a = 40 m/s²
Distance traveled, s = ?
According to the 3rd equation of motion,
We know that,
v² - u² = 2as
So, putting all the values, we get
⇒ v² - u² = 2as
⇒ (100)² - (30)² = 2 × 40 × s
⇒ 10000 - 900 = 80s
⇒ 9100 = 80s
⇒ 9100/80 = s
⇒ s = 113.75 m.
Light and sound waves both share what characteristic?
A: they both exhibit the doppler effect
B: light and sound are both transverse waves
C: they both move fastest in water
D: light and sound both require medium in which to travel
Answers
Answer i know they both exhibit the doppler effect, so i believe it is this one.
Explanation:
help ASAPPPPPPPPPPPPP pls
Answers
Answer:
The answer for this question is
D
In Newton’s second law, if the net force acting on object doubles. The object’s Will also double
Answers
Answer: Explanation:
If the net force on an object is doubled, its acceleration will double If the mass of an object is doubled, the acceleration will be halved .
In Newton’s second law, if the net force acting on object doubles then either acceleration is double or mass is double.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
According to Newtons second law force is product of mass and acceleration.
F = ma
In Newton’s second law, if the net force acting on object doubles then either acceleration is double or mass is double.
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How is temperature related to the physical change of a substance?Which best describes why a liquid needs a container when a solid does not?
Answers
Answer:
C
i just took the test!
Answer:
Solids have definite shapes, and liquids fill their containers.
Explanation:
The ACTUAL answer
When you use your senses to gather information you are
Answers
An observation is information we gather about something by using the senses.
A 40kg box sits on a shelf 0.5m above the floor. An employee moves the box to a height of 1.8m above the floor. How much work did the employee do in moving the box? A)20J B)72J C)200J D)520J E)720J
Answers
Answer:
b)72
Explanation
work done= force* distance
work done=40*1.8
72J
Are noble gases nonreactive elements?
Answers
Answer:
Noble gases are nonreactive elements.
Explanation:
We call Group 18 of the Periodic Table "Noble gases" because they are inert gases. They do not like to bond with other elements.
The reason why is because their outermost shell for electrons is full. These electrons, called valence electrons, are are completely maxed out and therefore makes the element stable. This in turn makes it so that it doesn't really bond with other elements.
Answer:
Yes. Noble gases ARE nonreactive elements.
Explanation:
What happens to the lost mass during nuclear reactions in a star's core?
O It is destroyed
O It becomes dark matter
O It is ejected into space
O It is converted to energy
Answers
If the radius of atom is 4 × 10^-3 nm (Nano meter), so its diameter is: *
8 × 10^-12 m
8 × 10^-3 µm
8 × 10^-6 km
8 × 10^-9 cm
Answers
Answer:
8 x 10^-12
Explanation:
Radius = 4 x 10^-3nm = 4 x 10^-12 m
by the formula,
diameter = 2 x radius
diameter = 2 x (4 x 10^-12)
diameter = 8 x 10^-12 m
List three applications of pressure in our daily lives.
Answers
Answer:
1) Skis have a large area to reduce the pressure on the snow. This ensures that the skis do not sink into the snow too far.
2) The pressure under the studs on the soles of football shoes is high enough for them to sink into the ground, which gives extra grip.
3) A vacuum cleaner has a fan inside that creates a low pressure inside the device. Consequently, air and dirt particles are sucked into the device.
Question 2
When an object exerts a force on another object, the second force is
о O
AB
paired
B
oppoosite in direction
с
equal
D
all other answers
Answers
the answer is EQUAL because a force on another object the second force is equal
Study the motion map shown. Some of the vectors have been circled. A long black arrow pointing right labeled x. Above that are 5 green arrows of the same length pointing right, positioned end to end. Next to these are 2 shorter green arrows, each with small yellow arrows pointing left just above that are circled. Farther up from the line is a point. Much farther above that are 3 green arrows each longer than the previous. Above the green arrows are 3 yellow arrows of equal length pointed left, each circled. What do the circled vectors represent? distance speed velocity acceleration
Answers
Answer:
The object starts away from the origin and then moves toward the origin at a constant velocity. Next, it stops for one second. Finally, it moves away from the origin at a greater constant velocity.
Explanation:
Sample Response: The object starts away from the origin and then moves toward the origin at a constant velocity. Next, it stops for one second. Finally, it moves away from the origin at a greater constant velocity.
What did you include in your description? Check all that apply.
The object starts away from the origin.
The object moves toward the origin at a constant velocity.
The object stops for one second.
The object moves away from the origin at a greater constant velocity.
The circled vectors represent speed.
What is speed?
The is the ratio of distance traveled to time of motion. Speed is a scalar quantity because it has only only magnitude.
From the map, as the magnitude (size) of the green arrows changes, the size of the circled arrows changes accordingly.
Also, the direction of the circled arrow was constant for both top and bottom arrows.
Velocity changes with direction BUT speed does not change with direction, and has a complete meaning with only magnitude.
Thus, the circled vectors represent speed.
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6. Which statement best describe the relationship between temperature and thermal energy?
(1 Point)
Temperature is inversely related to thermal energy
Temperature is directly proportional to thermal energy
As temperature foes up, thermal energy goes down
Thermal energy is not related to energy
Answers
Answer:
Temperature is directly proportional to thermal energy.
Is density independent of sample size?
Answers
Answer:
➢ Length, Width, Height, Volume, Mass. ➢ A size independent property is a physical property that does not change when the size of an object changes.
Examples:
➢ Examples of size independent properties: ➢ Density, Color, State of Matter.
Hope this helps :)
Which unit you would use to measure the following objects? This is so confusing
Answers
Answer:
weight of truck in kg, height of person in meter m, amount of water in kiloliter kl, length of eyelash in mm
parts of MECHANICAL WAVES
help please UwU
Answers
Answer:
waves
Explanation:
ocean
1. Determinar cuanta fuerza es necesaria para empujar un móvil que se encuentra en reposo para que alcance una velocidad de 15 m/s en un tiempo de 20 segundos, considerando que dicho móvil tiene una masa de 1000Kg. No considere que existe fricción.
Answers
Responder:
Explicación:
Fuerza = Masa × aceleración
Dado que aceleración = velocidad final - velocidad inicial / tiempo
Fuerza = m (v-u) / t
Dado
Masa = 1000 kg
v = 15 m / s
u = 0 m / s
t = 20 segundos
Sustituye los valores dados en la fórmula para calcular la fuerza.
F = 1000 (15-0) / 20
F = 1000 (15) / 20
F = 15000/20
F = 750N
a blwoing ball traveling 2.0 m/s has a 16 J of Kinetic energy what is the mass of the bowling ball in KG
Answers
Answer:
ke=1/2mv2Explanation:
16=m(2)*2
16=m4
m=16÷4
m=4
1.Which of the following are examples of projectile motion
a. a airplane taking off
b.a tennis ball lobbed over a net
c. a plastic disk sailing across a lawn
d.a hawk diving to catch a mouse
e. a parachutist drifting to Earth
f. a frog jumping from land into the water
Answers
Answer:
b and f
Explanation:
Following are examples of projectile motion: a. A tennis ball lobbed over a net c. A plastic disk sailing across a lawn d. A hawk diving to catch a mouse e. A parachutist drifting to Earth. The correct options are A, C, D and E.
Projectile motion refers to the motion of an object that is launched into the air and moves along a curved trajectory under the influence of gravity alone, with no other forces acting horizontally. In projectile motion, the object follows a path called a parabola.
In the given options, a tennis ball being lobbed over a net, a plastic disk sailing across a lawn, a hawk diving to catch a mouse, and a parachutist drifting to Earth all demonstrate projectile motion. In each case, the objects are initially launched or propelled into the air and subsequently follow a curved path influenced primarily by gravity. The trajectory of these objects can be described by a parabolic shape, which is a characteristic of projectile motion.
The correct options are A, C, D and E.
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HELP PLEASE AND HURRRRRY
How far a projectile moved horizontally from its starting point is its...
A. trajectory
B. Elipse
C. Range
D. Projectile
Answers
Answer:
the path the object follows is called its trajectory so A. trajectory
A driver in a 500 kg car going 20 m/s sees a large box in the middle of the road 100 meters away. How much net force is required to get the car to stop without hitting the box?
50 POINTS AND WILL GIVE BRAINLY! THIS IS URGENT
Answers
Answer:
100
Explanation:
my apologies if I am wrong
Please help me out with this one???
Answers
Answer:
take another pic i cant see it
Explanation:
all known frequencies of the visible spectrum are..
a. solar light
b. light
c. black light
Answers
Explanation:
[tex]b. \: light[/tex]
One Newton equals .225
Answers
A motorcycle can reach a speed of 60 mi/hr much faster than a minivan can
Answers
Answer:
Newton's Second Law of motion
Explanation:
Newton's second law of motion states that 'the rate of change of the momentum of a body is directly proportional to, and in the same direction as, the net force acting on it.' This law applies to the given situation stating that 'a motorcycle can reach a speed of 60mph much faster than a minivan' as the smaller mass accelerates more quickly than the larger. This is because the van would require a more stopping distance as it would be difficult to decelerate due to the heavy mass. While for a motorcycle, it would be much easier to decelerate due to lesser mass. Thus, Newton's second law applies here.
what cells secrete myelin for neurons?
a. schwann cells
b. other neurons
c. osteocytes
d. leukocytes
Answers
Answer:
A. Schwann cells
Explanation:
What is the wave velocity if the wave length is 100 cm and the frequency is 2 Hz?
Answers
Answer:
velocity = 2m/s
using v=fΠ
convert 100 CM to m
Answer:
200 cm per second
Explanation:
The equation for wave velocity=wavelength x frequency, since the wavelength is 100 and the frequency is two, the equation would be 100 x 2, which equals 200. Therefore, the correct answer is 200 cm per second.