77. Two blocks, with masses m1 = 400 g and m2 = 600 g, are connected by a string and lie on a frictionless tabletop. A force F = 3.5 N is applied to block m2. Find the acceleration of each object.
Answers
Answer:
See the answers below. And the free body diagrams attached.
Explanation:
To solve this problem, we must build a free body diagram, where we show the forces acting on a body, first for the m2 body, where the force of 3.5 [N] acts to the right. In such a way that a reaction force is presented in the opposite direction due to the string tied between both bodies, we will call this force T1.
Now using Newton's second law, which is defined as the sum of forces equal to the product of mass by acceleration, we can determine an equation as a function of T1.
∑F = m*a
[tex]3.5 -T_{1}=0.6*a_{2}[/tex]
We have an equation with two unknowns, in such a way we must perform a second free body diagram for the body with mass m1, to acquire the additional equation.
∑F =m₁*a₁
[tex]T_{1}=0.4*a_{1}[/tex]
By kinematics we know that if the string tied to Body 2 moves a distance, the part of the string at the end tied to body 1 will move the same distance. This same analysis is valid for velocities and accelerations.
This is the accelerations a1 and a2 are equal. Now equalizing both equations.
[tex]3.5-0.4*a_{1}=0.6*a_{2}\\but\\a_{1}=a_{2}\\3.5-0.4*a_{1}=0.6*a_{1}\\a_{1}=3.5[m/s^{2} ][/tex]
The acceleration of each block connected by the given string is 3.5 m/s².
The given parameters;
mass of the first block, m1 = 400 g = 0.4 kgmass of the second block, m2 = 600 g = 0.6 kgapplied force, F = 3.5 NThe net force on the blocks is calculated as follows;
[tex]\Sigma F = ma\\\\F - T = m_2a\\\\F - m_1(a -g)= m_2a\\\\g = 0 \ , \ in \ horizontal \ direction\\\\F - m_1a = m_2 a\\\\F = m_2 a + m_1 a\\\\F = a(m_1 + m_2)\\\\a = \frac{F}{m_1 + m_2} \\\\a = \frac{3.5 }{0.4 + 0.6} \\\\a = 3.5 \ m/s^2[/tex]
Thus, the acceleration of each block connected by the given string is 3.5 m/s².
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i think b
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What is the net force on them?
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Is this force balanced or unbalanced?
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Answer:1.16
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Explanation:
Answer:
What is the net force on them?
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Is this force balanced or unbalanced?
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why water molecules are closer together in the liquid state than in the solid state.
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Answer:
because of the hydrogen bonds, as water molecules come together they stick to one another for a small, but significant amount of time. This slows them down, and holds them closer to one another. They become a liquid; a different state of matter where the molecules are closer and slower than in a gas.
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O reflects
O refracts
O absorbs
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Explanation:
pressure exerted on a surface depends on________
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Answer:
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Answers
Answer:
6.174N or roughly 6.2N
Explanation:
630g=0.63kg
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Select the correct answer.
Which diagram represents an object in equilibrium?
ОА.
applied
force = 20 N
force due to
friction = 15 N
OB.
applied
force = 20 N
force due to
friction = 20 N
OC.
applied
force = 15 N
force due to
friction = 25 N
OD.
applied
force = 30 N
force due to
friction = 20 N
ОЕ.
applied
force = 30 N
force due to
friction = 15 N
Reset
Next
My
Answers
Answer:
B
Explanation:
The force and friction cancel each other.
20N - 20N = 0N acting on the object.
Which type of mirror would you use to cook a hot dog and why?
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Household lightbulbs don't emit radio, microwave, X-rays or gamma rays, and only a smidgen of ultraviolet.
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Answers
Answer:
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Explanation:
Parallel Connection of Resistances
If resistances R1, R2, R3,...., Rn are connected in parallel, the equivalent resistance is calculated as follows:
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Answer:
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Answers
Answer:
198.20 N
Explanation:
Given that,
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Answer:
1. Newton's First Law of Motion
2.Newton's Third Law of Motion
3.Newton's Third Law of Motion
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5.Newton's Third Law of Motion
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7.Newton's First Law of Motion
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Answers
Answer:
Explanation:
a. From the information provided in the question, the blue liquid is a solution. This is because a solution is a type of homogeneous mixture (that has an evenly distributed solute in a solvent) which is the reason the liquid was said to be blue (and not immiscible blue solid in a liquid) but after been exposed to heat became just a blue solid. Typically, a solution has a solute and a solvent (combined), the solute here is the blue solid while the solvent is the liquid that made the combination a liquid.
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repeating anyone ineed answers plsss?
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the answer of question no5 is b
2 Which of the following effectively summarizes paragraph 2?
A The orientation in space, relative to the Sun, is the cause
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1
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Answers
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There are two tall slides at the newly opened theme park, a blue slide and a red slide. The slides have such a height that, if it weren't for friction and air resistance, riders would travel twice as fast at the bottom of the blue slide as they do at the bottom of the red slide. If the red slide is 8m tall, how tall is the blue slide?
Answers
Answer:
32 m
Explanation:
By energy conservation, total energy at the top of slide must be equal to the total energy at at the bottom.
therefore
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v^2= 2gh
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1st part
Let height of blue slide be H and height of red slide be h.
Let velocity of rider in blue slide= V and red slide= v
At the bottom of slide,
From equation (1)
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Given, V= 2v
[tex]\therefore \frac{4v^{2}}{v^2{}} = \frac{H}{h}[/tex]
H = 4h
therefore, height of blue slide is 4 times that of red slide= 4*8=32 m
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when
d = 10 and
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asfsdfasasfsda
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IDEK HOW TO SOLVE
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