Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. Assume the incline is frictionless and take m1 = 2.00 kg, m2 = 7.35 kg, and θ = 50.0°.1) Find the magnitude of the accelerations of the objects. (m/s^2)
2)Find the tension in the string. (N)
3)Find the speed of each object 2.50 s after being released from rest. (m/s)
Answers
Answer:
Part a)
Part b)
Part c)
Explanation:
For m2 mass along the inclined plane we can write
for m1 mass we can write equation in vertical direction
so we will have
so we have
now plug in all data in it
Part b)
from above equation
Part c)
Speed of the object after t = 2.50 s
check forces act on m1
1. tension of the rope T up
2. m1g down
3. moving down with a
f = ma --> m1g - T = m1a ...(1)
or. T = m1g - m1a ... (1.1)
check forces act on m2
1. tension of the rope T up alone the incline. it must be equal to previous one because it is the same segment of the rope.
2. m2gsine(θ) down along the incline
3. moving up with a
f = ma --> T - m2gsine(θ) = m2a ...(2)
replace T from (1.1) to (2)
(m1g - m1a) - m2gsin(θ) = m2a
m1g - m2gsin(θ) = m2a + m1a
a = g(m1 - m2sin(θ))/(m1 + m2)
plug in value you will get the answer. if a is negative, it means direction on our assumption is not correct. it's the opposite (direction).
after get a, you will get T
and velocity use v = u + at
... i cannot post pict. draw the diagram will make you understand this better.
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= (35)(9.8)(3.5)
= 1200.5 J
Ek = (1/2)(mv^2)
= (0.5)(35)(5^2)
= 437.5 J
b) between 1 kW and 10 kW
c) more than 10 kW
Please show calculations!
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The potential energy of each kg of water, before it falls, is
(M G H) = (1kg) (9.8 m/s²) x (30 m) = 294 joules
The potential energy lost by 60 kg of water pouring through is
(60 x 294) = 17,640 joules
The power output of the plant is
(17,640 joules/sec) x (85%) = 14,994 watts
= almost but not quite 15 kW.
(If you used 10 for gravity, it would come out to 15.3 kW)
b. It has a fixed volume and shape.
c. It has high energy and expands to fill the container.
d. It has a fixed volume and varied shape.
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Albert Einstein is a German scientist who developed the theory of relativity. He was born on the March 14, 1879, Ulm, Germany. This theory changed much in the way the scientists looked at the world and set the foundation for many modern inventions, including the nuclear bomb and the nuclear energy.
HOPE THIS HELPS!!!!!!!
Answers
Otherwise known as... The force due to gravity between two objects is equal to G ( a universal constant G = 6.673 x 10-11 N m2/kg2) times the mass of the first object (kg) times the mass of the second object (kg) all divided by the distance between the two objects squared.
We can thus plug in the given values to receive the answer...
I converted the 21.8cm into 0.218m, for the equation calls for meters.
I hope this helps!
P.S. I'm currently enrolled in IB Physics, so if you have any more questions, feel free to contact me for help.
Final answer:
The gravitational force between two 6.9 kg bowling balls, which are 21.8 cm apart, is approximately 1.99 x 10^-9 Newtons, showing the relative weakness of gravitational forces at an everyday scale.
Explanation:
The gravitational force between two objects can be calculated using Newton's law of universal gravitation. The formula for this force is F = G * (M1 * M2) / R^2, where F is the force, G is the universal gravitational constant (6.67 × 10^-11 Nm^2/kg^2), M1 and M2 are the masses of the two objects, and R is the distance between the objects.
In this scenario, each of the bowling balls has a mass of 6.9 kg and their centers are 21.8 cm (or 0.218 m) apart. Substituting these values into the formula, we get the gravitational force to be approximately 1.99 x 10^-9 Newtons. This value is quite small, which is consistent with our intuition that everyday objects like bowling balls don't seem to attract each other noticeably — this is because the gravitational force is extremely weak in comparison to other forces such as electromagnetic forces.
Learn more about Gravitational Force here:
#SPJ3
Answers
1 Ampere of current means that if you set up your chair and
stare at the electrons flowing past one point in the circuit, you'll
see 1 coulomb of charge passing that point every second.
How will you recognize 1 coulomb of charge ?
Well, every electron carries the same amount of charge, and
we know how much that is. (Read about the Millikan oil-drop
experiment in 1909.) So we know how many electrons it takes
to carry 1 coulomb of charge past the point you're watching.
All you have to do is count the electrons as they zip past.
Every time you count 6,241,509,343,000,000,000 electrons,
you can tick off 1 coulomb of total charge that they're carrying.
If you reach that count every second, you know the current
passing that point is 1 Ampere.
Answer: amps
Explanation: