Answer:
s = 0.337 m
Explanation:
First, we will find the angular displacement of the reel:

where,
θ = angular displacement = ?
ω = angular speed = 1.9 rad/s
t = time taken = 7.1 s
Therefore,
θ = (1.9\ rad/s)(7.1 s)
θ = 13.5 rad
Now, we will find out the length of tape:
s = rθ
where,
s = length of tape = ?
r = radius of reel = 2.5 cm = 0.025 m
Therefore,
s = (0.025 m)(13.5 rad)
<u>s = 0.337 m</u>
Answer:
x = -6.5 meters
Explanation:
The position of a ball as a function of time t is given by :
..................(1)
Where t is time in seconds
We need to find the position of the ball at 1.9 s. It can be simply calculated putting t = 1.9 s in equation (1) as :

x = -6.5 meters
So, the position of the ball at 1.9 seconds is -6.5 meters. Hence, this is the required solution.
Answer:
-47 J
Explanation:
Given that,
Heat loss = -76 J (negative for loss)
Work done by the surroundings = -29 J
We need to find the change in internal energy of a system.
The first law of thermodynamics is given by :

W is work done by the system
Putting all the values,

Hence, the change in internal energy is -47 J.