1answer.
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
GalinKa [24]
3 years ago
12

A 98-kg fullback, running at 5.0 m/s, attempts to dive directly across the goal line for a touchdown. Just as he reaches the lin

e, he is met head-on in midair by two 68-kg linebackers both moving in the direction opposite the fullback. One is moving at 2.0 m/s, the other at 4.0 m/s. They all become entangled as one mass.
(a) Sketch the event, identifying "before" and "after" situations. (Do this on paper. Your instructor may ask you to turn in this work.) This answer has not been graded yet.
(b) What is the velocity of the football players after the collision? (Take the positive direction to be the initial direction of the fullback.) m/s
(c) Does the fullback score a touchdown?
Yes
No
Physics
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

(a) Explained below

(b) v_f=0.35\ m/s

(c) Yes

Explanation:

<u>Law Of Conservation Of Linear Momentum</u>

The total linear momentum of a system of particles or objects is conserved unless an external force is acting on the system. The formula for the momentum of a body with mass m and velocity v is P=mv. If there is a system of bodies, then the total linear momentum is the sum of the individual momentums

P=m_1v_1+m_2v_2+...+m_nv_n

When objects collide and join together, the only final mass is the sum of all masses, all traveling at the same speed.

Our m_1=98\ kg fullback runs at v_1=5\ m/s. Two two 68-kg linebackers attempt to stop him, one at -2.0 m/s and the other at -4.0 m/s. The negative value is because the run against the positive direction, taken in the direction of the fullback.

(a) Before the event, there is a total linear momentum, computed as the sum of the momentums of each player as shown

p_1=m_1v_1=(98)(5)=490 Kg\ m/s

p_2=m_2v_2=(68)(-4)=-272 kg\ m/s

p_3=m_3v_3=(68)(-2)=-136 kg\ m/s

p_t=p_1+p_2+p_3=390-272-136=82\ kg\ m/s

After the collision, all the players keep joined in one single mass of.

m_t=98+68+68=234\ kg

They will move at a speed which will be computed below

(b) The final momentum of the system is

p_f=m_tv_f=82\ kg\ m/s

Since the linear momentum is conserved, the final speed v_f is common to all of the players. Let's solve to find it

\displaystyle v_f=\frac{p_f}{m_t}

\displaystyle v_f=\frac{82}{234}

v_f=0.35\ m/s

(c) Since the final speed of the players is positive, it means the touchdown was actually scored, the fullback moved forward across the goal line, the positive reference.

You might be interested in
(1) A positive charge +3 C is separated from another positive charge of +5 C by a distance of 7m. What is the magnitude of the e
Aneli [31]

1. The magnitude of the electric force between the two charges is 2.8×10⁹ N (Option B)

2. The net charge on the molecule is -8×10⁻¹⁹ C (Option D)

3. The magnitude of the force between the charges is 16000 N (Option C)

4. The correct statement is: A neutral object has equal numbers of protons and electrons. (Option C)

<h3>1. How to determine the force</h3>
  • Charge 1 (q₁) = +3 C
  • Charge 2 (q₂) = +5 C
  • Electric constant (K) = 9×10⁹ Nm²/C²
  • Distance apart (r) = 7 m
  • Force (F) =?

F = Kq₁q₂ / r²

F = (9×10⁹ × 3 × 5) / (7)²

F = 2.8×10⁹ N

<h3>2. How to determine the net charge on the molecule</h3>
  • Electron = 223 electrons
  • Proton = 218 protons
  • Net Charge =?

Charge = Proton - Electron

Charge = 218 - 223

Charge = -5 electrons

But

1 electron = 1.6×10⁻¹⁹ C

Thus,

Net Charge = -5 × 1.6×10⁻¹⁹ C

Net Charge = -8×10⁻¹⁹ C

<h3>3. How to determine the force</h3>
  • Charge 1 (q₁) = 2×10⁻⁴ C
  • Charge 2 (q₂) = 8×10⁻⁴ C
  • Electric constant (K) = 9×10⁹ Nm²/C²
  • Distance apart (r) = 0.3 m
  • Force (F) =?

F = Kq₁q₂ / r²

F = (9×10⁹ × 2×10⁻⁴ × 8×10⁻⁴) / (0.3)²

F = 16000 N

<h3>4. What is a neutral object?</h3>

A neutral object is an object having equal numbers of protons and electrons. For example, an object with 4 protons and 4 electrons is said to be neutral as illustrated below

  • Electron = 4 electrons
  • Proton = 4 protons
  • Net Charge =?

Charge = Proton - Electron

Charge = 4 - 4

Charge = 0 (neutral)

Thus, the correct statement about neutral object, given in the question is: A neutral object has equal numbers of protons and electrons (Option C)

Learn more about Coulomb's law:

brainly.com/question/506926

#SPJ1

6 0
2 years ago
What types of electromagnetic radiation has a shorter wavelength than ultraviolet?
Lunna [17]
X-rays and gamma rays are the only electromagnetci waves with a shorter wavelength, gamma rays being the smallest. Hope this helps ;)
4 0
3 years ago
Solve the equation below for vi.<br> d=vit +.5at2
Andrej [43]

Answer:  \dfrac{d-0.5at^2}{t}=v_i

<u>Explanation:</u>

d=v_it+0.5at^2\\\\\\\text{Subtract}\ 0.5at^2\ \text {from both sides:}\\d-0.5at^2=v_it\\\\\\\text{Divide both sides by t:}\\\dfrac{d-0.5at^2}{t}=v_i

8 0
3 years ago
Given the necessary information about the two components of projectile motion, your task is to explain the difference or even de
ivann1987 [24]

The two components of projectile motion include the following:

  • Horizontal motion
  • Vertical motion.

<h3>What is a Projectile?</h3>

This is defined as a missile propelled by the application of an external force and allowed to move freely under the influence of gravity and air resistance.

The equation for Horizontal motion Vx = V * cos(α)

Vertical velocity component: Vy = V * sin(α)

Read more about Projectile here brainly.com/question/24216590

8 0
2 years ago
The specific heat of a substance is 0.215 J/g°C. How much energy is required to raise the temperature of 20 g of the substance f
sergey [27]

Taking into account the definition of calorimetry and sensible heat, the amount of energy required is 68.8 J.

<h3>Calorimetry</h3>

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

<h3>Sensible heat</h3>

Sensible heat is defined as the amount of heat that a body absorbs or releases without any changes in its physical state (phase change).

In this way, between heat and temperature there is a direct proportional relationship. The constant of proportionality depends on the substance that constitutes the body and its mass, and is the product of the specific heat by the mass of the body.

So, the equation that allows to calculate heat exchanges is:

Q = c× m× ΔT

where:

  • Q is the heat exchanged by a body of mass m.
  • c is the specific heat substance.
  • ΔT is the temperature variation.

<h3>Energy required in this case</h3>

In this case, you know:

  • Q= ?
  • c= 0.215 \frac{J}{gC}
  • m= 20 g
  • ΔT= Tfinal - Tinitial= 88 C - 72 C= 16 C

Replacing in the definition of sensible heat:

Q = 0.215 \frac{J}{gC}× 20 g× 16 C

Solving:

<u><em>Q=68.8 J</em></u>

Finally, the amount of energy required is 68.8 J.

Learn more about calorimetry:

<u>brainly.com/question/11586486?referrer=searchResults</u>

<u>brainly.com/question/24724338?referrer=searchResults</u>

6 0
2 years ago
Other questions:
  • The primary source of most of the moisture for the earths atmosphere is
    6·1 answer
  • If the mass of a material is 41 grams and the volume of the material is 5 cm^3, what would the density of the material be? answe
    15·2 answers
  • l o which of the following can move from one atom to another A. protons Msideus. B. neutrons C. electrons the nucleus
    15·1 answer
  • Boston Red Sox pitcher Roger Clemens could routinely throw a fastball at a horizontal
    13·1 answer
  • A transformer is intended to decrease the value of the alternating current from 500 amperes to 25 amperes. The primary coil cont
    14·1 answer
  • Statement A: Area of a rectangle with measured length = 2.536 mm and width = 1.4 mm.
    6·1 answer
  • Force exerted by a person or object is called
    9·1 answer
  • When starting to slide down a waterslide, why would a person push on the sides of the slide?
    13·2 answers
  • 1. Una pelota rueda hacia la derecha siguiendo una trayectoria en línea recta de modo que recorre una distancia de 10m en 5 s ,
    14·1 answer
  • What is the general equation for a double-displacement reaction?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!