The heat absorbed is calculated using the following equation:
Q = mCΔT
Q = heat absorbed
m = mass = 66 g
C = specific heat of iron = 0.449 J/g.°C
ΔT = temperature change = 20 - 7 =13°C
Therefore,
Q = 66*0.449*13 = 385.242 J
Answer:
The ball travels with a speed of 1.96 m/s in a North East direction
Explanation:
Based on the law of conservation of linear momentum, we have that

Since this problem involves motion in both the x and y coordinates, we will solve it in the separate coordinates, and then find the resultant as our answer.
Momentum in the x- direction
in the x direction,
. this makes 
hence we have


Momentum in the y- direction
in the y direction,
. this makes 
hence we have


The resultant of the two vectors can be found using Pythagoras' theorem

The direction of the resultant vector is found as

Hence the ball moves with a velocity of 1.96m/s in a North East direction
Answer:
14.9 m /s
Explanation:
n = n° x v /[ v -v (s) ]
n is apparent frequency , n° is source frequency,v is speed of sound and v(s)
speed of source.
2300 = 2200 x 343 / [343 -v(s)]
v (s ) = 14.9 m /s.
The work done by a gas during an isothermal process is given by:

(1)
where
n is the number of moles of the gas
R is the gas constant
T is the absolute temperature of the gas

is the ratio between the final volume and the initial volume of the gas
We need to calculate this ratio, and we can do it by using the gas pressure. In fact, for an isothermal process, Boyle's law states that the product between pressure and volume of the gas is constant:

which can be rewritten as

which is equivalent to

The problem says that the pressure of the gas is tripled, therefore the ratio between final and initial volume is:

Now we can use eq.(1) to calculate the work done by the gas. The absolute temperature is

The number of moles is n=2, therefore the work done is

And the work is negative, because it is done by the environment on the gas (the gas is compressed)