The mass affects the kinetic energy because the more the mass the more energy is given to the object and the speed<span> affects by making it go faster and longer, so whenever speed goes up so does energy.</span>
1)a 2)D 3)a. I think the answers are
I think the answer is 30 but I’m not sure
Answer:
a)5.88J
b)-5.88J
c)0.78m
d)0.24m
Explanation:
a) W by the block on spring is given by
W=
kx² =
(530)(0.149)² = 5.88 J
b) Workdone by the spring = - Workdone by the block = -5.88J
c) Taking x = 0 at the contact point we have U top = U bottom
So, mg
=
kx² - mgx
And,
= (
kx² - mgx
)/(mg) =
]/(0.645x9.8)
= 0.78m
d) Now, if the initial initial height of block is 3
= 3 x 0.78 = 2.34m
then,
kx² - mgx - mg
=0
(530)x² - [(0.645)(9.8)x] - [(0.645)(9.8)(2.34) = 0
265x² - 6.321x - 14.8 = 0
a=265
b=-6.321
c=-14.8
By using quadratic eq. formula, we'll have the roots
x= 0.24 or x=-0.225
Considering only positive root:
x= 0.24m (maximum compression of the spring)
Answer:
The least amount of time in which the fisherman can raise the fish to the dock without losing it is t= 2 seconds.
Explanation:
m= 5 kg
h= 2m
Fmax= 54 N
g= 9.8 m/s²
W= m * g
W= 49 N
F= Fmax - W
F= 5 N
F=m*a
a= F/m
a= 1 m/s²
h= a * t²/2
t= √(2*h/a)
t= 2 seconds