Answer:
Work done to pull the piano upwards is 401250 J
Explanation:
Work is done against the gravity to pull the piano upwards
So here we can say that work done is
![W = mgH](https://tex.z-dn.net/?f=W%20%3D%20mgH)
here we know that
![mg = 5350 N](https://tex.z-dn.net/?f=mg%20%3D%205350%20N)
also we know that
H = 75 m
now we have
![W = 5350 \times 75](https://tex.z-dn.net/?f=W%20%3D%205350%20%5Ctimes%2075)
![W = 401250 J](https://tex.z-dn.net/?f=W%20%3D%20401250%20J)
Explanation:
<em>Hello</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em>
<em>You</em><em> </em><em>just</em><em> </em><em>need</em><em> </em><em>to</em><em> </em><em>use</em><em> </em><em>simple</em><em> </em><em>formula</em><em> </em><em>for</em><em> </em><em>force</em><em> </em><em>and</em><em> </em><em>momentum</em><em>, </em>
<em>F</em><em>=</em><em> </em><em>m.a</em>
<em>and</em><em> </em><em>momentum</em><em> </em><em>(</em><em>p</em><em>)</em><em>=</em><em> </em><em>m.v</em>
<em>where</em><em> </em><em>m</em><em>=</em><em> </em><em>mass</em>
<em>v</em><em>=</em><em> </em><em>velocity</em><em>.</em>
<em>a</em><em>=</em><em> </em><em>acceleration</em><em> </em><em>.</em>
<em>And</em><em> </em><em>the</em><em> </em><em>solutions</em><em> </em><em>are</em><em> </em><em>in</em><em> </em><em>pictures</em><em>. </em>
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
141.78 ft
Explanation:
When speed, u = 44mi/h, minimum stopping distance, s = 44 ft = 0.00833 mi.
Calculating the acceleration using one of Newton's equations of motion:
![v^2 = u^2 + 2as\\\\v = 0 mi/h\\\\u = 44 mi/h\\\\s = 0.00833 mi\\\\=> 0^2 = 44^2 + 2 * a * 0.00833\\\\=> 1936 = -0.01666a\\\\a = -116206.48 mi/h^2 or -14.43 m/s^2](https://tex.z-dn.net/?f=v%5E2%20%3D%20u%5E2%20%2B%202as%5C%5C%5C%5Cv%20%3D%200%20mi%2Fh%5C%5C%5C%5Cu%20%3D%2044%20mi%2Fh%5C%5C%5C%5Cs%20%3D%200.00833%20mi%5C%5C%5C%5C%3D%3E%200%5E2%20%3D%2044%5E2%20%2B%202%20%2A%20a%20%2A%200.00833%5C%5C%5C%5C%3D%3E%201936%20%3D%20-0.01666a%5C%5C%5C%5Ca%20%3D%20-116206.48%20mi%2Fh%5E2%20or%20-14.43%20m%2Fs%5E2)
Note: The negative sign denotes deceleration.
When speed, v = 79mi/h, the acceleration is equal to when it is 44mi/h i.e. -116206.48 mi/h^2
Hence, we can find the minimum stopping distance using:
![v^2 = u^2 + 2as\\\\v = 0 mi/h\\\\u = 79 mi/h\\\\a = -116206.48 mi/h\\\\=> 0^2 = 79^2 + (2 * -116206.48 * s)\\\\6241 = 232412.96s\\\\s = \frac{6241}{232412.96} \\\\s = 0.0268531 mi = 141.78 ft](https://tex.z-dn.net/?f=v%5E2%20%3D%20u%5E2%20%2B%202as%5C%5C%5C%5Cv%20%3D%200%20mi%2Fh%5C%5C%5C%5Cu%20%3D%2079%20mi%2Fh%5C%5C%5C%5Ca%20%3D%20-116206.48%20mi%2Fh%5C%5C%5C%5C%3D%3E%200%5E2%20%3D%2079%5E2%20%2B%20%282%20%2A%20-116206.48%20%2A%20s%29%5C%5C%5C%5C6241%20%3D%20232412.96s%5C%5C%5C%5Cs%20%3D%20%5Cfrac%7B6241%7D%7B232412.96%7D%20%5C%5C%5C%5Cs%20%3D%200.0268531%20mi%20%3D%20141.78%20ft)
The minimum stopping distance is 141.78 ft.
M = mass of the first sphere = 10 kg
m = mass of the second sphere = 8 kg
V = initial velocity of the first sphere before collision = 10 m/s
v = initial velocity of the second sphere before collision = 0 m/s
V' = final velocity of the first sphere after collision = ?
v' = final velocity of the second sphere after collision = 4 m/s
using conservation of momentum
M V + m v = M V' + m v'
(10) (10) + (8) (0) = (10) V' + (8) (4)
100 = (10) V' + 32
(10) V' = 68
V' = 6.8 m/s
Answer:
D) True. the protostar rotates more quickly.
Explanation:
If the system is isolated, the angular momentum must be retained.
Initial
L₀ = I w₀
Final
=
L₀ = ![L_{f}](https://tex.z-dn.net/?f=L_%7Bf%7D)
I w₀ = ![I_{f}](https://tex.z-dn.net/?f=I_%7Bf%7D)
= I /
w₀
In general, the radius of the cloud decreases significantly to form the star, the moment of inertia must decrease, so the angular velocity must increase
Let's examine the answers
A) False. The opposite happens
B) False. Speed changes
C) False. For this there must be an external force, which does not exist
D) True. You agree with the above