Answer:
Her displacement is 35 feet. Her distance is 75 feet.
If she walks 20 ft N, 35 ft E, and 20 ft S, it makes a rectangle with one missing side, which is 35. Her displacement is therefore 35, and 20 plus 35 plus 20 equals 75, which is the distance she walked.
Hope this helps!
Answer:
H / R = 2/3
Explanation:
Let's work this problem with the concepts of energy conservation. Let's start with point P, which we work as a particle.
Initial. Lowest point
Em₀ = K = 1/2 m v²
Final. In the sought height
= U = mg h
Energy is conserved
Em₀ =
½ m v² = m g h
v² = 2 gh
Now let's work with the tire that is a cylinder with the axis of rotation in its center of mass
Initial. Lower
Em₀ = K = ½ I w²
Final. Heights sought
Emf = U = m g R
Em₀ =
½ I w² = m g R
The moment of inertial of a cylinder is
I =
+ ½ m R²
I= ½
+ ½ m R²
Linear and rotational speed are related
v = w / R
w = v / R
We replace
½
w² + ½ m R² w² = m g R
moment of inertia of the center of mass
= ½ m R²
½ ½ m R² (v²/R²) + ½ m v² = m gR
m v² ( ¼ + ½ ) = m g R
v² = 4/3 g R
As they indicate that the linear velocity of the two points is equal, we equate the two equations
2 g H = 4/3 g R
H / R = 2/3
Differentiate the expression, to obtain expression for velocity. Set velocity to 0, this when max height is reached. Obtain the tmax from that expression.
<span>h(t) = –16t² + 32t + 6
</span><span>h'(t) = –32t² + 32
0 = </span>–32t² + 32
t max= 1
hmax = <span> –16(1)² + 32(1) + 6
hmax = 22
Therefore, first option is the correct answer.</span>
Answer:

Explanation:
= Heat capacity of Hg = 28 J/mol
= Change in temperature = 
= Enthalpy of fusion = 2.29 kJ/mol
The number of moles is given by

Heat is given by

Heat released is given by

Total heat is given by

The total heat released is 