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°.
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Answer:
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Answer:
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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.
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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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Answers
Responder:
Explicación:
Fuerza = Masa × aceleración
Dado que aceleración = velocidad final - velocidad inicial / tiempo
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Dado
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Answer:
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Answers
Answer:
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Explanation:
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Answer:
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We call Group 18 of the Periodic Table "Noble gases" because they are inert gases. They do not like to bond with other elements.
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Answer:
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The ACTUAL answer
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о O
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Answer:
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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.
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Answers
Explanation:
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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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