Answer:
Force is 432.94 N along the rebound direction of ball.
Explanation:
Force is rate of change of momentum.
Final momentum = 0.38 x -1.70 = -0.646 kgm/s
Initial momentum = 0.38 x 2.20 = 0.836 kgm/s
Change in momentum = -0.646 - 0.836 = -1.472 kgm/s
Time = 3.40 x 10⁻³ s
Force is 432.94 N along the rebound direction of ball.
There are two external force acts on the chair.
1. The force due to earth gravity, acts in the downward direction.
2. Reaction force of the gravity, which acts in the Upward direction (Normal Force).
On every object, there is a force acts due to gravity of earth, which pulls the object towards the centre of earth, known as gravity force, always acts in the downward direction. Mathematically it's given as
F=mg
here, m is the mass of the object, and g is the acceleration of gravity.
To balance this gravity force, a counter force acts in the opposite direction, whose magnitude is equal to the force of gravity
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)
The density of a material is constant and it is given by the ratio of the mass to the volume of the material
The mass of the liquid and the full bottle ae
The mass of the liquid is <u>450 g</u>
The mass of the filled bottle is <u>530 grams</u>
<u></u>
The reason the above values are correct are as follows:
The given parameters are;
Volume of the bottle, V = Half litre
Mass of the bottle, = 80 g
The volume of liquid in the bottle when filled, V = 500 cm³
The density of the olive oil with which the bottle is filled, ρ = 0.9 g/cm³
a. Required:
To calculate the mass of oil in the bottle
Solution:
The volume of oil in the bottle when the bottle is filled, V = 500 cm³
The mass of the liquid, m = ρ × V
∴ m = 0.9 g/cm³ × 500 cm³ = 450 g
The mass of the liquid, m = <u>450 g</u>
<u></u>
b. The mass of the oil in the bottle, m = grams
The mass of the full bottle, = m +
∴ = 450 g + 80 g = 530 g
The mass of the full bottle, = <u>530 grams</u>
Learn more about density here: