Answer:
Moment of inertia of the system is 289.088 kg.m^2
Explanation:
Given:
Mass of the platform which is a uniform disk = 129 kg
Radius of the disk rotating about vertical axis = 1.61 m
Mass of the person standing on platform = 65.7 kg
Distance from the center of platform = 1.07 m
Mass of the dog on the platform = 27.3 kg
Distance from center of platform = 1.31 m
We have to calculate the moment of inertia.
Formula:
MOI of disk = 
Moment of inertia of the person and the dog will be mr^2.
Where m and r are different for both the bodies.
So,
Moment of inertia 
of the system with respect to the axis yy.
⇒ 
⇒ 
⇒ 
⇒ 
The moment of inertia of the system is 289.088 kg.m^2
Answer:
Explanation:
As we know that average power is the ratio of total work done and total time interval
so we will have
now we know that
so we will have
now power is given as
Answer:
W = 1884J
Explanation:
This question is incomplete. The original question was:
<em>Consider a motor that exerts a constant torque of 25.0 N.m to a horizontal platform whose moment of inertia is 50.0kg.m^2 . Assume that the platform is initially at rest and the torque is applied for 12.0rotations . Neglect friction.
</em>
<em>
How much work W does the motor do on the platform during this process? Enter your answer in joules to four significant figures.</em>
The amount of work done by the motor is given by:
Where I = 50kg.m^2 and ωo = rad/s. We need to calculate ωf.
By using kinematics:
But we don't have the acceleration yet. So, we have to calculate it by making a sum of torque:
=> 
Now we can calculate the final velocity:
Finally, we calculate the total work:
Since the question asked to "<em>Enter your answer in joules to four significant figures.</em>":
W = 1884J
Answer:
F = 3.84*10^-34N ^j
Explanation:
In order to calculate the magnetic force on the electron you use the following formula:
(1)
q: charge of the electron = -1.6*10^-19C
B: magnitude of the magnetic field = 0.80T
v: speed of the charge = 3.0*10^5 m/s
The direction of the motion of the electron is in the +i^ direction (+x direction). The magnetic field is in the +^k direction (+z direction).
The cross product between these unit vectors, by taking into account the minus sign of the charge, is given by:
-^i X ^k = ^j
The magnetic force is in the ^j direction (+y direction).
The magnitude of the magnetic force is:
The magnetic force on the electron has a magnitude of 3.84*10^-34N in the +y direction
Answer:
<h3>50.23m</h3>
Explanation:
The distance talks about how far an object has travelled.
Given
9 = -9.8m/s²
t = 3.2s
to get the distance Δx, we will use the formula;
S = ut+1/2gt²
S = 0(3.2)+1/2(-9.8)(3.2)²
S = 0-4.905(10.24)
S = -50.23m
Hence the can of tuna drop by 50.23m
