Explanation:
We have,
Initial speed of an automobile, u = 71 km/h = 19.72 m/s
Diameter of the tie, d = 60 cm
Radius, r = 30 cm
(a) The angular speed of the tires about their axles is given by :

(b) Final angular velocity of the wheel is equal to 0 as its stops. The angular acceleration of the wheel is given by :



(c) Let the car move a distance d during the braking. So,

Therefore, the above is the required explanation.
The amount of heat required to raise the temperature is 706.05J.
To find the answer, we need to know more about the specific heat capacity.
<h3>How to find the heat required to raise the temperature?</h3>
- Specific heat can be defined as, the amount of heat needed to increase a substance's temperature by one degree for every gram.
- We have the expression for amount of heat required to raise the temperature from T1 to T2 as,
Q=msΔT
- We have given with the following values,

- Thus, the amount of heat required to raise the temperature is,

Thus, we can conclude that, the amount of heat required to raise the temperature is 706.05J.
Learn more about the specific heat capacity here:
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Answer:
vb = 22.13 m/s
Explanation:
ma = 124 kg
mb = 13 kg
vi = 2.10 m/s
According to the property of conservation of momentum, and considering that, initially, both the astronaut and the bag moved together at 2.10 m/s:

The minimum final velocity of the bag, vb, the will keep the astronaut from drifting away forever occurs when va = 0:

The minimum final velocity of the bag is 22.13 m/s.
Tension in the rope due to applied force will be given as

angle of applied force with horizontal is 37 degree
displacement along the floor = 6.1 m
so here we can use the formula of work done

now we can plug in all values above


So here work done to pull is given by 691.8 J