The Velocity Of A Small Ball Of Mass M


The Velocity Of A Small Ball Of Mass M

a ball with a mass of 2 kg is dropped from the top of a building and strikes the ground at a velocity of 10 m/s what is the heigt of the building from which the ball is dropped?

Daftar Isi

1. a ball with a mass of 2 kg is dropped from the top of a building and strikes the ground at a velocity of 10 m/s what is the heigt of the building from which the ball is dropped?


Materi : Kinematika Gerak Lurus
Sub materi : Gerak Jatuh Bebas
Mapel : Fisika
Kelas : X SMA (KTSP)
Keyword : GJB

ㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡㅡ

Diketahui :
m = 2 kg
v = 10 m/s

Ditanya :
h = ?

Penyelesaian :
Gerak jatuh bebas merupakan gerak benda dengan kecepatan awal benda Vo = 0 ,bisa dikatakan benda jatuh secara spontan.

Analisis soal :
A ball with a mass m kg dropped from the building which the height h meter. When the ball strikes, the velocity is 10m/s. The problem is what is the height of the building where the ball was dropped from?

Perhitungan :
v = √2gh
v² = 2gh
(10)² = 2(10)h
100 = 20h
h = 100/20
h = 5 m

So, the height of the building where the ball was dropped from is 5 m

-vin

2. A billiard ball rolling across a table to the right at 2.2 m/s makes a head-on elastic collision with an identical ball. The mass of a billiard ball is 36 g. If the first ball is initially moving to the left with a velocity of 1.1 m/s, what is the velocity of the second ball after the collision? Answer..... m/s


Penjelasan:

m1v1 = m2v2 - m1v1'

mv1 = mv2 - mv1'

v2 = v1 + v1'

= 2,2 + 1,1

= 3,3 m/s

bola 1 melaju dgn kec 2,2 setelah tumbukan benda 1 berbalik arah sehingga nilai momentum nya negatif

*ingat momentum juga merupakan vektor*.


3. A ball is initially at rest. The ball is then hit by a stick so that it is moving with velocity of 10 m/s. If the mass of the ball is 250 g, calculate the impuls applied to the ball!


Diketahui :

Vo = 0 m/s (bola diam)

Vt = 10 m/s

m = 0,25 kg

Ditanya :

Impuls?

Jawaban :

Impuls = ∆P

Impuls = m(Vt - Vo)

Impuls = 0,25 kg(10 m/s - 0 m/s)

Impuls = 0,25 kg * 10 m/s

Impuls = 2,5 kg*m/s

Correct me if i wrong


4. Tolong dijawab kak A ball is kicked at an angle of 37° with the ground. Determine the initial velocity of the ball so that it hits a target that is 32 m away at a height of 4 m.


Jawaban:

20 m/s

Penjelasan:

Sx = V0x . t

32 = V0 . cos 37° . t

t = 32 / V0 . cos 37°

t = 32 / V0 . 4/5

t = 40 / V0

V0y = V0 . sin 37°

V0y = 3/5 V0

Sy = V0y . t + 1/2 g . t²

4 = (3/5 V0) . (40 / V0) + 1/2 . (-10) . (40 / V0)²

4 = 24 - 5 (40 / V0)²

- 20 = - 5 (40 / V0)²

(40 / V0)² = -20/-5

(40 / V0)² = 4

40 / V0 = 4

40 = 2 V0

V0 = 20 m/s


5. 1. A-5 kg ball is dropped freely from a 24 m high. Find the greatest potential energy of the ball. (g = 10 N/kg) 2. A car moved at velocity of 30 m/s. Its mass was 2400 kg. what was the kinetic energy of the car by that time? ​


Answer:

1. 1200 J

2. 1080000 J

Explanation:

1.

P.E. = m . g . h

P.E. = 5 . 10 . 24

P.E. = 1200 J

2.

K.E. = 1/2 mv²

K.E. = 2400 . 30² / 2

K.E. = 2400 . 900 / 2

K.E. = 1080000 J


6. 10. Which of the following lists of physical quantitiesconsists only of vectors?a Acceleration, forse, and volumeb. Mass, velocity, and accelerationTime, mass, and velocityVelocity, acceleration, and force​


Jawaban:

velocity, acceleration, force

Penjelasan:

mungkin pilihan gandanya sampe d ya


7. A small car with mass of 1000 kg is moving eastward with velocity of 30m/s and big car with mass of 2000 kg is moving southward with velocity of 20 m/s.The magnitude of momentum after colliding is..


Penjelasan:

dik : m1 = 1000 kg

v1 = 30m/s

m2 = 2000 kg

v2 = 20 m/s

dit: momentum atau p.... ?

jawab:

karna tidak ada diketahui koefisien dan cuma momentum setelah tabrakan maka menggunakan hukum kekekalan momentum sehingga persamaan seperti ini

p = p'

(m1 x v1) + (m2 x v2) = p'

p' = (1000 x 30) + (2000 x -20)

p' = 30.000 - 40.000

p' = -10.000

jadi besarnya momentum adalah -10.000 atau 10.000... mohon maaf kalau ada yang salah


8. A wagon with 15 kg of mass moves at velocity of 0,25 m/s toward a concreate wall. At the same time, a bullet 10 g mass is fired at velocity 1.000 m/s toward the wall. Calculate: a. The momentum of the wagon b. The momentum of the bullet


mass wagon = 15 kg

v wagon = 0,25 m/s

mass bullet = 0,01 kg

v bullet = 1000 m/s

a. P wagon = mass wagon * v wagon

= 15 kg * 0,25 m/s

= 3,75 kg*m/s

b. P bullet = mass bullet * v bullet

= 0,01 kg * 1000 m/s

= 10 kg*m/s

Correctmeifiwrong


9. A tennis ball is travelling at 50 m/s and has a kinetic energy of 75 J. Calculate the mass of the tennis ball.​


velocity = V = 50 m/s

kinetic energy = Ek = 75 Joule

mass = m = .... ?

[tex]ek = \frac{1}{2} \times m\times {v}^{2} [/tex]

[tex]75 = \frac{1}{2} \times m \times {50}^{2} [/tex]

[tex]75 = \frac{1}{2} \times m \times 2500[/tex]

[tex]75 = 1250 \times m[/tex]

[tex]m = \frac{75}{1250} = 0.06 \: kg[/tex]


10. An object with mass x has a velocity of 30 m/s. Count the velocity of the object if the kinetic energy becoems 1/3 from original​


Jawaban:

v = (10√3) m/s

Penjelasan:

Ek = 1/2 m v ²

= 1/2 . m . 30²

=( 450m )j

1/3 Ek = 1/3 . 450j

=( 150 m)j

Ek = 1/2 m v²

150m = 1/2 mv2

(150m)/(1/2m) = v²

v² = 300

v = √300

= √(100 . 3)

= (10√3) m/s


11. A car moves at the velocity of 20 m/s. The mass of the car is 1.5 ton. What is the kinetic energy of the car?


Energi Kinetik

Diketahui:

m = massa = 1.5 ton = 1.500 kg v = kecepatan = 20 m/s²

Ditanya:

Ek = energi kinetik ?

Jawaban

Ek = ½ × m × v²

Ek = ½ × 1.500 × 20²

Ek = 750 × 400

Ek = 300.000 J ✔

atau

Ek = 300 kJ ✔

v = 20 m/s

m = 1,5 ton

m = (1,5 × 1.000) kg

m = 1.500 kg

Energi kinetik

Ek = 1/2 × m × v²

Ek = 1/2 × 1.500 × 20²

Ek = 1/2 × 1.500 × (20 × 20)

Ek = 1/2 × 1.500 × 400

Ek = 1/2 × 600.000

Ek = 600.000/2

Ek = 300.000 J

Ek = (300.000 ÷ 1.000) kJ

Ek = 300 kJ


12. An object of mass 1000 kg, initially having a velocity of 100 m /s, decelerates to a final velocity of 20 m/s. What is the change in kinetic energy of the object, in kJ?


ΔEk = 1/2.m.Vf² - 1/2.m.Vi²

ΔEk = 1/2.1000.20² - 1/2.1000.100²

ΔEk = 500.400 - 500.10000

ΔEk = 200.000 - 5.000.000

ΔEk = - 4.800.000 J

ΔEk = - 4.800 kJ



13. An empty box has a mass of 155 g, correct to the nearest grahi.A metal ball has a mass of 620 g, correct to the nearest gram.The metal ball is placed in the empty box and a reading of thetotal mass is taken. Find the smallest possible total mass of thetwo items​


Jawaban:

haaa gimana mksdny gapaham,disuruh ngapain?


14. A ball travelling at 25 m/s and has a kinetic energy of 50 J. Calculate the mass of the ball !​


velocity (v) = 25 m/s

KE = 50 J

mass (m) = ....?

KE = ½ × m × v²

50 = ½ × m × 25²

50 = ½ × m × 625

312.5m = 50

m = 50/312.5

m = 4/25


15. There were 3 similar big boxes of the same mass. There were another 4 similar small boxes of the same mass. The total mass of the big and small boxes was 90 kg. The moss of a big box was twice the mass of a small box. Find the total mass of a big box and a small box.​


Jawaban:

27 kg

Penjelasan dengan langkah-langkah:

Semogaa menbantu yaaa


16. When a box contains 50 identical balls, it has a mass of 13.9 kg. The empty box has a mass of 400 g. Find the mass of each ball in kilograms.


mass of 50 balls = 13.9kg - 400g
= 13.9kg - 0,4kg
= 13.5kg

mass of each ball = 13.5kg/50
= 0.27kgKetika sebuah kotak berisi 50 bola yang sama, beratnya 13,9 kg. Kotak kosong itu beratnya 400 g. Temukan berat dari masing-masing bola dlam kg.

Dik:
Jumlah bola 50 bola
Berat total 13,9 kg
Berat kotak kosong 400 g = 0,4 kg

Berat bola keseluruhan = berat total - berat kotak kosong
= 13,9 kg - 0,4 kg = 13,5 kg

Berat masing-masing bola = berat bola keseluruhan : jumlah bola
= 13,5 kg : 50 bola = 0,27 kg/bola

Jadi berat masing-masing bola = 0,27 kg/bola


Translatenya:
Clue,
Numbers of balls = 50 balls
Total mass = 13,9 kg
Mass of empty box = 400 g = 0,4 kg

Total mass of balls = total mass - mass of empty box
= 13,9 kg - 0,4 kg

Mass of each ball = total mass of balls : numbers of balls
= 13,5 kg : 50 balls = 0,27 kg/balls

So the mass of each ball = 0,27 kg/balls


Semoga bisa membantu \(^o^)/

17. A tennis ball is thrown upward with initial velocity of 30 m/s, if g = 10 m/s2. Determine: a. height of the tennis ball at the first 2 seconds.b. velocity of the tennis ball at the first 2 seconds.c. time required by the tennis ball to reach the highest point.​


Jawaban:

a. 40m

b. [tex]40m/s[/tex]

c. 3 second

Penjelasan:

KINEMATICS : PROJECTILE MOTION

Known :

Vo = [tex]30 m/s[/tex]

g = [tex]10 m/s^{2}[/tex]

a. height at t=2

[tex]h=Vot-\frac{1}{2}gt^{2}[/tex]

[tex]h= (30)(2) -\frac{1}{2}(10)(2)^{2}[/tex]

[tex]h=40m[/tex]

b. Vt at t=2

[tex]Vt= Vot-gt[/tex]

[tex]Vt = (30)(2) - (10)(2)[/tex]

[tex]Vt = 40 m/s[/tex]

c. time required to reach its highest point (t)

[tex]t= \frac{Vo}{g}[/tex]

[tex]t = 3s[/tex]


18. (1) The plastic cup has a mass of 2.5 g. What is the mass of one ball?​


Jawaban:

This rock will not scratch glass.... Turn over

10 9 Safia wants to find the density of a small ball. (a) She measures the mass of a plastic cup containing ten identical balls.

Penjelasan:

Semoga membantu dan jadikan jawaban tercerdas


19. 5. (a) A copper ball has a mass of 1 kg. Calculate the radius of the ball, given that the density of copper is 8900 kg m^-3tolong ya kak makasih..​


Jawaban:

3 x 10^-2 m

Penjelasan:

Massa = 1 kg

Massa Jenis = 8900 kg/m³

Massa Jenis = Massa / Volume

8900 kg/m³ = 1 kg/Volume

Volume = 1/8900 m³

V = 4/3 πr³

1/8900 = 4/3 x π x r³

r³ = 3/4π x 8900

r = 0,03 m = 3 x 10^-2 m


20. A sports shop has 6 light bowling balls and 6 heavy bowling balls. The mass of a heavy bowling ball is twice that of a light bowling ball. The total mass of the 12 bowling balls is 65.7 kg. Find the mass of a light bowling ball to the nearest kg.​


Jawab:

The mass of a light bowling ball is 3,65kg.

Penjelasan dengan langkah-langkah:

So, 6 light bowling balls+6 heavy bowling balls=65,7kg

6lbb+6(2)lbb=65,7kg   --> hbb=2lbb, so 6hbb=12hbb

6lbb+12lbb=65,7

18lbb=65,7

lbb=65,7/18

lbb=3,65kg


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