Suppose the internal energy of an ideal gas rises by 2.89 103 j at a constant pressure of 1.00 105 pa, while the system gains 6.44 103 j of energy by heat. find the change in volume of the system.

Explanation:

According to the first law of thermodynamics:-

Where,  

U is the internal energy  =

q is the heat  = (heat is gained)

w is the work done  = ?

The expression for the calculation of work done is shown below as:

Where, P is the pressure,  

is the change in volume

Also, 1 J = 1000 PaL

So,

From the question,  

he kicked it 10 feet straight up into the air? i think this works.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s