Answer:
B) the change in momentum.
Explanation:
The impulse is defined as the product between the force applied on an object (F) and the duration of the collision ():
(1)
We can rewrite the force by using Newton's second law, as the product between mass (m) and acceleration (a):
So, (1) becomes
Now we can also rewrite the acceleration as ratio between the change in velocity and change in time: . If we substitute into the previous equation, we find
And the quantity is equivalent to the change in momentum, .
Answers:
a)
b)
c)
Explanation:
<h3>a) Impulse delivered to the ball</h3>
According to the Impulse-Momentum theorem we have the following:
(1)
Where:
is the impulse
is the change in momentum
is the final momentum of the ball with mass and final velocity (to the right)
is the initial momentum of the ball with initial velocity (to the left)
So:
(2)
(3)
(4)
(5)
<h3>b) Time </h3>
This time can be calculated by the following equations, taking into account the ball undergoes a maximum compression of approximately :
(6)
(7)
Where:
is the acceleration
is the length the ball was compressed
is the time
Finding from (7):
(8)
(9)
(10)
Substituting (10) in (6):
(11)
Finding :
(12)
<h3>c) Force applied to the ball by the bat </h3>
According to Newton's second law of motion, the force is proportional to the variation of momentum in time :
(13)
(14)
Finally:
Answer:
a) 6.4 kJ
b) 43.4 kJ
Explanation:
a)
= Heat absorbed = 37 kJ
= Coefficient of performance = 5.8
= Work done
Heat absorbed is given as
=
37 = (5.8)
= 6.4 kJ
b)
= work per cycle required
= +
= 37 + 6.4
= 43.4 kJ
Answer: (1, 30), (2,10), (3,40), (4,20)
Explanation: