**Answer:**

**after 6 second it will stop**

**he travel 36 m to stop **

**Explanation:**

given data

speed = 12 m/s

distance = 100 m

decelerates rate = 2.00 m/s²

so acceleration a = - 2.00 m/s²

to find out

how long does it take to stop and how far does he travel

solution

we will apply here first equation of motion that is

v = u + at ......1

here u is speed 12 and v is 0 because we stop finally

put here all value in equation 1

0 = 12 + (-2) t

t = 6 s

**so after 6 second it will stop**

and

for distance we apply equation of motion

v²-u² = 2×a×s ..........2

here v is 0 u is 12 and a is -2 and find distance s

put all value in equation 2

0-12² = 2×(-2)×s

s = 36 m

**so he travel 36 m to stop **

**The question is incomplete. The complete question is :**

A plate of uniform areal density is bounded by the four curves:

where x and y are in meters. Point has coordinates and . What is the moment of inertia of the plate about the point ?

Solution :

Given :

and , , .

So,

,

So the moment of inertia is .

**Answer:**

joules

joules

**Explanation:**

Let us convert the time in hours into seconds

Change in internal energy

where E is the internal energy in Joules

p is the power in watts

and t is the time in seconds

Joules

Amount of work done by the system

where P is the pressure and V is the volume

Substituting the given values in above equation, we get -

liter-atmospheres

Work done in Joules

Joules

Substituting the given values we get -

Thus

joules

joules

Anything less dense than water will float, like oil. Anything more dense than water will sink, like rock.