Answer:


Explanation:
During this process the mass
will be considered constant. We start from a radius
and a period
. The final period is
.
Angular momentum <em>L</em> is conserved in this process. We can use the formula
, where I is the momentum of inertia (which for a solid sphere is
) and
is the angular velocity, so we can write the star's angular momentum as:

Since
we have:

Which can be simplified as:

Which means:

Which for our values is:

And we calculate the speed of a point on the equator by dividing the final circumference over the final period:

Answer:
Both objects travel the same distance.
(c) is correct option
Explanation:
Given that,
Mass of first object = 4.0 kg
Speed of first object = 2.0 m/s
Mass of second object = 1.0 kg
Speed of second object = 4.0 m/s
We need to calculate the stopping distance
For first particle
Using equation of motion

Where, v = final velocity
u = initial velocity
s = distance
Put the value in the equation

....(I)
Using newton law

Now, put the value of a in equation (I)

Now, For second object
Using equation of motion

Put the value in the equation

....(I)
Using newton law


Now, put the value of a in equation (I)

Hence, Both objects travel the same distance.
Sound and thermal/ heat energy.
Explanation:
Electric drill use electrical energy to convert it into kinetic, but there are some energy waste during the conversion in the form of sound and thermal caused by electric motor.
Answer:
1) The balloon will shrink
2) The balloon will grow bigger and regain its shape
Explanation:
By the kinetic theory of gases, we have;


Where;
= RMS Speed
R = The universal gas constant
T = The temperature
MW = The Molecular weight
n = The number of moles
V = The volume
P = The pressure
1) When the balloon is placed in the refrigerator for minutes, the temperature inside the balloon will drop and RMS speed will reduce, however due to the elastic wall of the balloon, the pressure will remain the same therefore the volume will reduce and the balloon will shrink
2) When the balloon is placed on the kitchen counter, the temperature inside the balloon will rise leading to the increase in the RMS speed which will raise the pressure effect on the wall of the balloon as the balloon is made of elastic material, as the pressure rises, the wall expands to keep the pressure constant and the volume occupied by the air particles will increase, the balloon will grow bigger and regain its shape.
When a wire is made shorter, the resistance decreases.
When a wire is made thinner, the resistance increases.