answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MatroZZZ
1 month ago
9

A child on a 2.4 kg scooter at rest throws a 2.2 kg ball. The ball is given a speed of 3.1 m/s and the child and scooter move in

the opposite directions at 0.45 m/s. Find the child's mass.
Physics
1 answer:
Maru [3.3K]1 month ago
3 0

Answer:

The mass of the child is 14.133 kg

Explanation:

According to the principle of linear momentum conservation, we get;

(m₁ + m₂) × v₁ + m₃ × v₂ = (m₁ + m₂) × v₃ - m₃ × v₄

The negative sign signifies that their velocities were directed oppositely

Considering both the child and the ball are initially at rest, we have;

v₁ = 0 m/s and v₂= 0 m/s

Thus;

0 = m₁ × v₃ - m₂ × v₄

(m₁ + m₂) × v₃ = m₃ × v₄

Where:

m₁ = Mass of the child

m₂ = Mass of the scooter = 2.4 kg

v₃ = Final velocity of the child and scooter = 0.45 m/s

m₃ = Mass of the ball = 2.4 kg

v₄ = Final velocity of the ball = 3.1 m/s

Substituting the known values gives us;

(m₁ + 2.4) × 0.45 = 2.4 × 3.1

(m₁ + 2.4) = 16.533

This implies m₁ + 2.4 = 16.533

Thus, m₁ = 16.533 - 2.4 = 14.133 kg

The mass of the child equals 14.133 kg.

You might be interested in
Your school science club has devised a special event for homecoming. You've attached a rocket to the rear of a small car that ha
inna [3103]

La force agissant pendant 9 s et la décélération pendant 12 - 9 = 3 s.

Distance totale parcourue = 990 m

vitesse initiale u = 0

Distance parcourue pendant l'accélération

s₁ = 1/2 a 9² où a est l'accélération

= 40.5 a

vitesse finale après 9 s

v = at = 9a

pendant la décélération

v² = u² - 5 x s₂

0 = (9a)² - 5 s₂

s₂ = 16.2 a²

Distance parcourue pendant la décélération = 16.2 a²

s₁ + s₂ = 990

40.5 a + 16.2 a² = 990

16.2 a² + 40.5 a - 990 = 0

a = 6.5

4 0
2 months ago
A truck collides with a car on horizontal ground. At one moment during the collision, the magnitude of the acceleration of the t
inna [3103]

Response:

The car's acceleration magnitude is 35.53 m/s²

Details:

Given;

acceleration of the truck, a_t = 12.7 m/s²

mass of the truck, m_t = 2490 kg

mass of the car, m_c = 890 kg

let the acceleration of the car during the collision = a_c

Using Newton's third law of motion;

The force exerted by the truck equals the force exerted by the car.

The car's force acts in the opposite direction.

F_c = -F_t\\\\m_ca_c = -m_t a_t\\\\a_c =- \frac{m_ta_t}{m_c} \\\\a_c = -\frac{2490 \times 12.7}{890} \\\\a_c = - 35.53 \ m/s^2

Thus, the car's acceleration magnitude is 35.53 m/s²

3 0
2 months ago
An electron with a charge value of 1.6 x 10-19 C is moving in the presence of an electric field of 400 N/C. What force does the
Yuliya22 [3333]
The force experienced by the electron is 4.0×10⁻¹⁷ N.
4 0
2 months ago
While looking at bromine (Br) on the periodic table, a student needs to find another element with very similar chemical properti
Sav [3153]

Response: Numerous elements can be found, all situated within the same vertical column as bromine.

Explanation:

Elements are organized by their atomic numbers on the periodic table. Those in the same vertical column (known as groups) exhibit the same valence electron configurations, resulting in similar chemical characteristics. Consequently, there are numerous elements sharing analogous chemical properties grouped with Bromine.

7 0
3 months ago
Read 2 more answers
Other questions:
  • Suppose a 0.04-kg car traveling at 2.00 m/s can barely break an egg. What is the min
    7·1 answer
  • An electron is trapped in a square well of unknown width, L. It starts in unknown energy level, n. When it falls to level n-1 it
    15·1 answer
  • The resultant of the concurrent forces is 300 lb pointing up along the Y axis. Compute the values of F and the angle required to
    12·2 answers
  • Find the lengths of each of the following vectors
    6·1 answer
  • The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles
    12·1 answer
  • A pressure vessel that has a volume of 10m3 is used to store high-pressure air for operating a supersonic wind tunnel. If the ai
    9·1 answer
  • A wind turbine with a rotor diameter of 40 m produces 90 kW of electrical power when the wind speed is 8 m/s. The density of air
    14·1 answer
  • A player throws a football 50.0 m at 61.0° north of west. what is the westward component of the displacement of the football?
    15·1 answer
  • A boy ties a stone to the end of a string which he then whirles above his head round a circular path of radius 15cm. if the ston
    5·1 answer
  • After getting a haircut, Joey’s barber spins him around in his barber’s chair 2 times per second. Is period or frequency given?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!