Explanation:
- Newton's first law of motion:
"An object at rest (or in uniform motion) remains at rest (or in uniform motion) unless acted upon an unbalanced force
In this situation, we can apply Newton's first law to the keys of the keyboard that are not hit by the fingers of the man. In fact, as no force act on the keys, they remain at rest.
- Newton's second law of motion:
"The acceleration experienced by an object is proportional to the net force exerted on the object; mathematically:
where F is the net force, m is the mass of the object, and a its acceleration"
In this case, we can apply Newton's second law to the keys of the keyboard that are hit by the man: in fact, as they are hit, they experience a downward force, and therefore they experience a downward acceleration.
"Newton's third law of motion:
"When an object A exerts a force on an object B (action force), then object B exerts an equal and opposite force on object A (reaction force)"
Here We can apply Newton's third law to the pair of objects finger-key: in fact, as the finger apply a force on the key (action force), then the key exerts a force back on the finger (reaction force), equal and opposite.
Answer:
(a) 17.37 rad/s^2
(b) 12479
Explanation:
t = 95 s, r = 6 cm = 0.06 m, v = 99 m/s, w0 = 0
w = v / r = 99 / 0.06 = 1650 rad/s
(a) Use first equation of motion for rotational motion
w = w0 + α t
1650 = 0 + α x 95
α = 17.37 rad/s^2
(b) Let θ be the angular displacement
Use third equation of motion for rotational motion
w^2 = w0^2 + 2 α θ
1650^2 = 0 + 2 x 17.37 x θ
θ = 78367.87 rad
number of revolutions, n = θ / 2 π
n = 78367.87 / ( 2 x 3.14)
n = 12478.9 ≈ 12479
Answer: Vb is the vector (-5.37m/s, 8.59 m/s), with a module 10.13m/s
then the ratio Vb/Vr = 10.13m/s/5.37m/s = 1.9
Explanation:
We can use the notation (x, y) where the river flows in the x-axis and the pier is on the y-axis.
We have Vr = (5.37m/s, 0m/s)
Now, if the boat wants to move only along the y-axis (perpendicularly to the shore).
The velocity of the boat Vb will be:
Vb = (-c*sin(32). c*cos(32))
Then we should have that:
5.37 m/s - c*sin(32) = 0
c = (5.37/sin(32))m/s = 10.13 m/s
the velocity in the y-axis is:
10.13m/s*cos(32) = 8.59 m/s
So Vb = (-5.37m/s, 8.59 m/s)
the ratio Vb/Vr = 10.13m/s/5.37m/s = 1.9 where i used Vb as the module of the boat's velocity.
It’s not in English can you change it please
Answer:
Explanation:
Given
Volume of fixed chamber 
Initial Temperature 
Final Temperature 
Heat Supplied 
From First law of thermodynamics
Change in internal energy of the system is equal to heat added minus work done by the system
as the volume is fixed therefore work
thus 
for mono-atomic gas is 
and 1 mole contains 
thus No of molecules
No of molecules
