To solve this problem it is necessary to apply the related concepts to the moment of inertia in a disk, the conservation of angular momentum and the kinematic energy equations for rotational movement.
PART A) By definition we know that the moment of inertia of a disk is given by the equation
Where
M = Mass of the disk
R = Radius
Replacing with our values we have
The initial angular momentum then will be given as
Therefore the total moment of inertia of the table and the disc will be
The angular velocity at the end point will be given through the conservation of the angular momentum for which it is understood that the proportion of inertia and angular velocity must be preserved. So
Therefore the new angular velocity is 1.15rad/s
PART B) Through the conservation of rotational kinetic energy we can identify that its total change is subject to
Therefore the change in kinetic energy is 0.034J
Answer:
ΔT=3.781 Kelvin
Explanation:
Given data
m=5.00g 0r 0.005kg
v=44.0 m/s
c (specific heat)=128 j/kg
Kinetic Energy=
KE=
KE=4.84 joules
1/2 Kinetic energy goes to heat=1/2×4.84
=2.42 J
Q=mcΔT
ΔT=
ΔT=
ΔT=3.781 K
Answer:
A. 10 joules
Explanation:
Given parameters:
Mass of object = 4kg
Speed = 5m/s
Unknown:
Kinetic energy of the the object = ?
Solution:
Kinetic energy is the energy due to a moving body.
So;
mathematically;
K.E = x m v²
m is the mass
v is the velocity
K.E = x 4 x 5 = 10J
Answer:
a
Explanation:
an object stays in motion until a force changes that
Answer:
Explanation:
Given
Person on earth can jump to a height
initial velocity is u
using
where v=final velocity
u=initial velocity
a=acceleration
s=displacement
final velocity is zero
On moon surface acceleration due to gravity is \frac{1}{6}[/tex] th of earth gravity
so height attained is given by
divide 1 and 2 we get