When Stone B collides with Stone A during Test 2, Stone B stops and Stone A begins to move. Which statement BEST describes the momentum in Test 2?

A
Stone A moves away from Stone B at a velocity of 4 m/s, and the momentum is conserved.

B
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved.

C
Stone A moves away from Stone B at a velocity of 4 m/s, and the momentum is not conserved.

D
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is conserved.

The launch velocity of the projectile is 13.28 m/s.

What is projectile motion?

The motion of an object thrown in the air under the force of gravity is known as projectile motion.

Since the object is launched horizontally, its initial velocity along the vertical direction is zero. From the second kinematic equation,

s=u*t+(1/2)at^2.

where s is the displacement, t is the time, u is the initial velocity and a is the acceleration. Since the height is decreasing, so it will be taken negative.

For the vertical motion, s=-19.3 m, a=-9.8 m/s^2 and u=0. Put the values in the above equation and solve it.

-19.3 = (0)*t+(1/2)*(-9.8)*t^2

19.3 = (1/2)*(9.8)*t^2

t=1.98 s

Since the velocity along the horizontal direction is constant, the displacement along the horizontal direction is given by the formula,

X=vt

where X is the horizontal displacement, v is the initial horizontal velocity and t is the time.

For the horizontal motion, X=26.3 m and t=1.98 s. Put the values in this equation and solve it.

26.3=v*(1.98)

v=13.28 m/s

The launch velocity is equal to the initial horizontal velocity, so it is equal to 13.28 m/s.

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Answer:

The resistance of the each bulb is 1.75 ohm.

Explanation:

The Power P supplied by the battery is given by the formula,

P=VI

where V is the voltage and I is the current.

Then the total current through given parallel circuit is I=P/V

Given P=48 W and V=6 V the value of I is

I=48 W/6 V

I= 8 A

Since both bulbs have same resistance and are connected in parallel so the current through each circuit will be half of the total current. Hence the current through each circuit I₀ is 4 A.

The Resistance R is calculated using formula R=V/I₀.

So the resistance is

R=6 V/4 A

R=1.75 ohm

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Answer:

The resistance of the bulb is 1.5 ohm.

Explanation:

The power P delivered to the whole circuit is given by the formula,

P=VI

Given  P= 48 W and V= 6V, the current in the circuit is

I=P/V

I=48/6= 8 A.

Since the bulbs are identical and are in parallel, therefore the current through each parallel circuit is half of the total current. Therefore current I1 through each bulb is 4 A.

The resistance is given by the formula,

R=V/I1

Hence R=6/4 = 1.5 ohm

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3,89,988 cm/min is the linear velocity

Given,

Diameter of CD = 12 cm

So, Radius of CD = 6 cm

CD is spinning at 10350 rev/min

Firstly , convert rev/min into rad/min

1 rev = 2π radians

10350 rev/min = 10350 × 2π

                        = 64998 rad/min

Formula used,

[tex]v=rw[/tex] where,

[tex]v[/tex] is the Linear velocity

[tex]r[/tex] is the radius

[tex]w[/tex] is the angular velocity

[tex]v[/tex] = 6 cm × 64998rad/min

  = 3,89,988 cm/min

Thus, linear velocity for any edge point of a 12-cm-diameter CD (compact disc) spinning at 10,350 rev/min is 389988 cm/min.

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Answer:

time taken= 8s

deceleration = -0.625ms^-2

Explanation:

s = 1/2(u+v)t (linear motion formula)

20 = 1/2 ( 5+0 ) t

t=time taken, find t

t= 8s

a= (v-u) / t

a= (0-5) / 8s

= -0.625 ms^-2

The main force(s) acting on the puck after receiving the kick is a downward force of gravity, an upward force exerted by the surface, and a horizontal force in the direction of motion.

Friction can be defined as that resistance that one surface or object encounters when moving over another.

So therefore, the main force(s) acting on the puck after receiving the kick is a downward force of gravity, an upward force exerted by the surface, and a horizontal force in the direction of motion

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Answer:

the gravitational force

Answer: A microwave oven operates at 2.4GHz with an intensity inside the oven of 2500 W/m^2. Then, the amplitudes of the oscillating electric and magnetic fields are, [tex]B_0=4.57*10^{-6} T and E_0=1.37*10^{3} V/m[/tex]

Explanation: To find the correct answer, we have to know more about the EM Waves.

                          [tex]E_0=cB_0[/tex]

                        [tex]I=\frac{1}{2u_0} cB_0^{2}[/tex]

                          [tex]B_0=\sqrt{\frac{2u_0I}{c} }=\sqrt{\frac{2*4*3.14*10^{-7}*2500 }{3*10^{8} } } =4.57*10^{-6} T[/tex]

                              [tex]E_0=cB_0=3*10^{8} *4.57*10^{-6} =1371 V/m[/tex]

Thus, from the above calculations, we get the amplitudes of the oscillating electric and magnetic fields are, [tex]B_0=4.57*10^{-6} T and E_0=1.37*10^{3} V/m[/tex]

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Answer:

F = K Q1 Q2 / R^2       force between 2 charged partices

F2 / F1 = (R1 / R2)^2 = (1 / 2.69)^2 = .139

F2 = .139 F1

The horizontal force that the seat must be pulled so that the ropes form an angle of 35o with respect to the vertical is 345.2 N.

The horizontal force that the seat must be pulled so that the ropes form an angle of 35o with respect to the vertical is calculated as;

F = Wcosθ

where;

F = (43 x 9.8) x cos(35)

F = 345.2 N

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【Answer】Therefore, the mass in said substance is 375 kilograms.

                               [tex]\red{ {\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt}}[/tex]

This is an exercise on fluids and their fundamental characteristics.

We start to solve, obtaining the data:

                                   Conversion from liters to m³

                                      [tex]\boldsymbol{1500\not{l}*\dfrac{1 \ m^{3} }{1000\not{l} }=1.5 \ m^{3} }[/tex]

To calculate mass: multiply density by volume.

                                       [tex]\boldsymbol{m=d*v \ \ \to \ \ \ Formula}[/tex]

We clear our data in the formula:

                                       [tex]\boldsymbol{m=250\dfrac{kg}{\not{m^{3}}}*1.5\not{m^{3}} }[/tex]

                                        [tex]\boldsymbol{m=375 \ kg}[/tex]

Answer:

The efficiency of the light bulb is 30%.

Explanation:

Efficiency = output/input × 100%

Data

Energy input = 100J

Energy output = 30J

Efficiency = ?

Efficiency = Energy output/Energy input × 100%

Efficiency = 30J/100J × 100%

Efficiency = 0.3 × 100%

Efficiency = 30%

Therefore the efficiency of the light bulb is 30%.

Answer:thermal (heat) energy and radiant (light) energy.

Explanation:

Answer:

Answer: We use the chemical energy in fuels by burning them and transforming them into other types of energy: thermal energy, as when we burn fuel for heat; and kinetic energy, as when we burn gasoline to power our car's motion

Explanation:

hope it will help you

Let us assume the positive \hat{x} direction is towards the right.

During any collision, the total momentum is conserved.

That means, the total momentum before the collision is the same as the total momentum after the collision.

p before = P after

Given,

Mass 1, m_1 = 111.1kg

Mass 2, m_2 = 222.2kg

Initial Velocity of Mass 1, 1,1 3.00.î m/s

Initial Velocity of Mass 2, \overrightarrow v_{2,i} =0

Velocity of Mass 1 after collision, \overrightarrow v_{1,f} =-1.000\hat{x}\hspace{0.1cm}m/s

The total Momentum of the system before the collision is,

\overrightarrow p_{before} =m_1\overrightarrow v_{1,i} + m_2\overrightarrow v_{2,i}

=> \overrightarrow p_{before} =(111.1)(3.00\hat{x}) + 0

=> \overrightarrow p_{before} =333.3\hspace{0.1cm}\hat{x}\hspace{0.1cm}kgm/s

The total Momentum of the system after the collision is,

\overrightarrow p_{after} =m_1\overrightarrow v_{1,f} + m_2\overrightarrow v_{2,f}

=> \overrightarrow p_{after} =(111.1)(-1.000\hat{x}) + (222.2)\overrightarrow v_{2,f}

=> \overrightarrow p_{after} =(-111.1\hat{x}) + (222.2)\overrightarrow v_{2,f}

We know the total momentum before the collision is the same as the total momentum after the collision.

p before = P after

=>333.3\hat{x} =(-111.1\hat{x}) + (222.2)\overrightarrow v_{2,f}

=>(-111.1\hat{x}) + (222.2)\overrightarrow v_{2,f} = 333.3\hat{x}

=> (222.2)\overrightarrow v_{2,f} = 333.3\hat{x} + 111.1\hat{x}

=> (222.2)\overrightarrow v_{2,f} = 444.4\hat{x}

=> \overrightarrow v_{2,f} = \frac{444.4}{222.2}\hspace{0.1cm}\hat{x}\hspace{0.1cm}m/s

=> \overrightarrow v_{2,f} = 2.00\hspace{0.1cm}\hat{x}\hspace{0.1cm}m/s

Therefore the velocity of m_2 after collision is v_{2,f} = 2.00\hspace{0.1cm}m/s going to the right

Please check the attached file for a brief answer.

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Answer: It's mostly found near Jamestown , New York

Answer:

9.8 m/s

Explanation:

If these objects are in free fall, meaning that their downward movement is only due to the force of gravity, then acceleration due to gravity is about 9.8 metres per second per second.

Answer:

The spring constant is 647.05 N/m.

Explanation:

The weight of the mass is W=mg

                                            W=66*10

                                            W=660

The spring force is given by the formula F=kx

where k is the spring force constant.

The spring force is equal to the weight of the mass. Therefore equate W and F.

kx= 660

k=660/x

Difference in length x=2.1-0.08= 1.02 m

k=660/1.02

k=647.05 N/m

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Given the electronegativity of O is 3.5 and H is 2.1,  the bond between the two atoms will be classified as a polar covalent bond.

According to the difference in electronegativity (ΔEN).

Oxygen has an electronegativity of 3.5 and hydrogen of 2.1. The difference in electronegativity is:

ΔEN = EN(O) - EN(H) = 3.5 - 2.1 = 1.4

Given the electronegativity of O is 3.5 and H is 2.1,  the bond between the two atoms will be classified as a polar covalent bond.

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Answer:

The velocity after 12s is 50.4m/s.

Explanation:

In acceleration formula make velocity the subject.

acceleration(a) = velocity(v)÷time(t)

V = 4.2m/s²×12s

V = 50.4m/s

Therefore the velocity after 12s is 50.4m/s.

3.375m/s is the final velocity of the car.

The final velocity depends on how large the acceleration is and the distance over which it acts.

Initial velocity of an object, you can multiply the acceleration due to a force by the time the force is applied and add it to the initial velocity to get the final velocity.

According to the question,

A toy car starts from the rest and accelerates

So the acceleration = 1.50m/s²

Time =  2.25s

[tex]x=x_{0} + vt[/tex]

[tex]x = 0 + ( 1.50m/s^2*2.25s)[/tex]

[tex]x = 3.375m/s[/tex]

The final velocity, of the car is 3.375 m/s.

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The time in which the animal B overtake animal A according to the motion map is at 2 seconds.

This is referred to as one-dimensional plots built off of a position line and depicts velocity and acceleration.

The time in which Animal B is ahead of animal A is at 2 seconds which therefore makes it the most appropriate choice.

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a. Work done = 2. 0648 Joules

b. Electrical potential, V = 4. 03 × 10^10 volts

a. Work done = force × distance

Force = density × acceleration due to gravity

Force = 5. 80 × 10

Force = 58 Newton

We have that distance = 3. 56cm = 0. 0356 m

Work done = 58 × 0. 0356

Work done = 2. 0648 Joules

b. The formula for electric potential is given thus,

Electric potential, V = [tex]k\frac{q}{r}[/tex]

r = 0. 0356m

k = Coulomb's constant = [tex]8.98*10^9[/tex]kg⋅m3⋅s−4⋅A−2.

q= 1.60x10^-¹C

substitute into the formula

Electric potential, V = [tex]8. 98[/tex] × [tex]10^9[/tex] × [tex]\frac{1. 6 * 10^-^-1}{0. 0356}[/tex]

Electric potential, V = [tex]8. 98 * 10^9[/tex] × [tex]4. 494[/tex]

Electric potential, V = [tex]4. 03 * 10^1^0[/tex] volts

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In equation form, Or KE+PE=constant KEi+PEi=KEf+PEf where i and f denote initial and final values. This is known as the conservation of mechanical energy.

Κi + Ûg,i = kf + U,g,f

A closed system is a system where exists energy interactions with surroundings, but not mass interactions.

If we neglect any energy interactions from boundary work, heat, electricity, magnetism, and nuclear phenomena and assume that process occurs at a steady state and all effects from non-conservative forces can be neglected, then the equation of energy conservation is reduced to this form:

K + Ug = 0 (1)

Where:

K -Change in kinetic energy of the system, measured in joules.

Ug - Change in gravitational potential energy of the system, measured in joules.

If we know that K = Ki - Kf and Ug = Ug,i - Ug,f, then we get the following equation:

Ki + Ug,i = Kf +  Ug,f, (2)

Where i and f stand for initial and final states of each energy component.

Hence, the right answer is Ki + Ug,i = Kf +  Ug,f,.

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Answer:

A KEi + PEi = KEf + PEf

Explanation:

Answer:

The cliff is 74.4m.

Explanation:

The reading above clearly state that a ball is dropped straight down with the speed of 9.3m/s and hit the ground exactly at a time of 8.0s after you released it. And it is asking for the distance of the cliff.

In speed formula make distance the subject.

Therefore Distance = speed × time

Distance = 9.3mls × 8.0s = 74.4m

Therefore the cliff is 74.4m.

Answer:

[tex] \tt \: mass \: = \frac{weight}{acceleration \: due \: to \: gravity} [/tex]

[tex] \longrightarrow \tt \: \frac{150}{10} [/tex]

[tex] \longrightarrow \boxed{ \tt{15 \: kg}}[/tex]

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Answer:

Explanation:

Ultraviolet rays are Electromagnetic waves that have higher frequencies than visible light, so they carry more energy.

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If the current that is circuit is tripled,  the power is increased by a factor of 9. Option D

The term power refers to the rate of doing work. Now if we have to obtain the work done by the use of the formula; P = I^2R

Now if the current that is circuit is tripled, the power is now obtained by;

P = (3I)^2R = 9I^2R hence the power is increased by a factor of 9.

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The circuit change when the wire is added will see a short circuit occur and makes bulbs 1 and 2 turn off but keeps bulbs 3 and 4 lit. Option D. This is further explained below.

Generally, Electronic circuits consist of a series of interconnected parts that form a closed loop through which electricity may flow.

In conclusion, If two wires are linked together, a short circuit will develop, cutting power to bulbs 1 and 2. But there is no impact on bulbs 3 and 4. There is no problem with bulbs 3 and 4.

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