Answer:
34.17°C
Explanation:
Given:
mass of metal block = 125 g
initial temperature
= 93.2°C
We know
..................(1)
Q= Quantity of heat
m = mass of the substance
c = specific heat capacity
c = 4.19 for H₂O in 
= change in temperature
Now
The heat lost by metal = The heat gained by the metal
Heat lost by metal = 
Heat gained by the water = 
thus, we have
= 

⇒ 
Therefore, the final temperature will be = 34.17°C
Answer:
It is a superordinate goal because both teams could have helped with the task.
Explanation:
If both teams pushed then they could have made it happened
Answer:
T = 480.2N
Explanation:
In order to find the required force, you take into account that the sum of forces must be equal to zero if the object has a constant speed.
The forces on the boxes are:
(1)
T: tension of the rope
M: mass of the boxes 0= 49kg
g: gravitational acceleration = 9.8m/s^2
The pulley is frictionless, then, you can assume that the tension of the rope T, is equal to the force that the woman makes.
By using the equation (1) you obtain:

The woman needs to pull the rope at 480.2N
Answer:
zero or 2π is maximum
Explanation:
Sine waves can be written
x₁ = A sin (kx -wt + φ₁)
x₂ = A sin (kx- wt + φ₂)
When the wave travels in the same direction
Xt = x₁ + x₂
Xt = A [sin (kx-wt + φ₁) + sin (kx-wt + φ₂)]
We are going to develop trigonometric functions, let's call
a = kx + wt
Xt = A [sin (a + φ₁) + sin (a + φ₂)
We develop breasts of double angles
sin (a + φ₁) = sin a cos φ₁ + sin φ₁ cos a
sin (a + φ₂) = sin a cos φ₂ + sin φ₂ cos a
Let's make the sum
sin (a + φ₁) + sin (a + φ₂) = sin a (cos φ₁ + cos φ₂) + cos a (sin φ₁ + sinφ₂)
to have a maximum of the sine function, the cosine of fi must be maximum
cos φ₁ + cos φ₂ = 1 +1 = 2
the possible values of each phase are
φ1 = 0, π, 2π
φ2 = 0, π, 2π,
so that the phase difference of being zero or 2π is maximum
Answer:
Second pit is 375 m deeper compared to first pit.
Explanation:
We have equation of motion s = ut + 0.5at²
First object hits the ground after 5 seconds,
Initial velocity, u = 0 m/s
Acceleration, a = 10 m/s²
Time, t = 5 s
Substituting,
s = ut + 0.5 at²
s = 0 x 5 + 0.5 x 10 x 5²
s = 125 m
Depth of pit 1 = 125 m
Second object hits the ground after 10 seconds,
Initial velocity, u = 0 m/s
Acceleration, a = 10 m/s²
Time, t = 10 s
Substituting,
s = ut + 0.5 at²
s = 0 x 10 + 0.5 x 10 x 10²
s = 500 m
Depth of pit 2 = 500 m
Difference in depths = 500 - 125 = 375 m
Second pit is 375 m deeper compared to first pit.