An m = 6.11 g bullet is fired into a 365 g block that is initially at rest at the edge of a table of h = 1.08 m height as shown in the figure.
1. The bullet remains in the block, and after the impact the block lands d = 1.84 m from the bottom of the table. How much time does it take the block to reach the ground once it flies off the edge of the table?
2. What is the initial horizontal velocity of the block as it flies off the table?
3. Determine the initial speed of the bullet.

Answer:

if you pick it up the heat will flow to the hand until the Temperature of both evens out

The first law states that the internal energy change of that system is given by Q − W . Since added heat increases the internal energy of a system, Q is positive when added to the system and negative when removed from the system.

The is organic compound with the correct chemical formula C4H9O2.

A model is a representation of reality. A model serves the purpose of prediction as well as explanation.

Looking at the model of the molecule we can see that it is the organic compound with the correct chemical formula C4H9O2. The molecule is shown in the image attached to this answer.

Missing parts:

There are several ways to model a compound. One type of model is shown.

What is the chemical formula for the molecule represented by the model?

CHO

C4H9O2

C4H8O

C3H8O2

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At a given temperature, lighter gas molecules, have an average speed greater than heavier gas molecules.

Temperature is the measure of degree of hotness or coldness of a body. It is also the measure of average kinetic energy of a body.

As temperature increases, the average kinetic energy of a body increases.

K.E = ¹/₂mv²

v² = 2K.E/m

v = √( 2K.E/m)

where;

From the equation above, at a constant temperature, the speed of a gas molecule will decrease with increase in the mass of the molecules and vice versa.

Thus, at a given temperature, lighter gas molecules, have an average speed greater than heavier gas molecules.

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Answer:

2.5 grams

Explanation:

p = mv

m = p/v

m = 0.0332 / 13.3

m = 0.0025kg

0.0025 x 1000 = 2.5

m = 2.5g

The provided question's answer is "Schwarzschild radius".

The conversion factor between mass and energy is the speed of light squared.

GM/r stands for gravitational potential energy, also known as energy per unit mass.

GM/rc² then has "mass per unit mass" units. In other words, as mass/mass splits out in a dimensional analysis, "dimensionless per unit."

The derivation yields a formula for time or space coordinate ratios requiring sqrt(1 - 2GM/rc²). This number becomes 0 when r=2GM/c2, or the formula becomes infinite if in the denominator. However, there is no justification for using c² as a conversion factor there. Consider the initial expression sqrt(1 - 2GM/rc²).

Assume that m is used as the test particle's mass instead of 1. Then you have sqrt(m - 2GMm/rc² and mass units. This expression denotes that the rest energy of the test mass m you introduced into the gravitational field is "gone" at that radius.

The 2 would be absent if the gravitational field were Newtonian. However, at the event horizon, Einstein gravity is slightly stronger than Newton gravity, resulting in the factor 2 in qualitative terms.

So, the given equation is of Schwarzschild radius.

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It is defined as the stress that results in the elongation of the material

The initial speed v,  the mass m should be given at the bottom, so that the string reaches a maximum angle is  2.16 m/s.

The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.

M.E = KE +PE

Given is a small mass of m = 187 g hangs from a string of length l = 1.21 m. The string reaches a maximum angle of θ = 36.5.  The acceleration due to gravity, g = 9.8 m/s²

The vertical height of the point mass h = l- lcosθ

h = 1.21 - (1.21cos 36.5°)

h = 0.2373 m

The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.

Kinetic energy  = Potential energy

1/2 mv²= mgh

Substituting the values, we have

1/2 x v² = 9.8 x  0.2373

v = sqrt [2 x9.8 x  0.2373]

v= 2.16 m/s

Thus, the initial speed v the mass m should be given at the bottom, so that the string reaches a maximum angle is 2.16 m/s.

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Answer:

6800

Explanation:

100 x 0.68=6800

Answer: 68

Explanation:

Compared with the car, the truck will travel four times as far.

The initial velocity of car and truck, u = 0

The acceleration of both the truck and car = a

The length of time for the acceleration = t

Let the time the truck accelerated be 2t

The distance traveled by car is calculated as;

s = ut + ¹/₂at²

s₁ = 0(t) + ¹/₂at²

s₁ = ¹/₂at²

The distance traveled by truck

s = ut + ¹/₂at²

s₂ = 0(2t) + ¹/₂a (2t)²

s₂ =  ¹/₂a x 4t²

s₂ = 4 (¹/₂at²)

s₂ = 4(s₁)

We can conclude that the Truck distance is four times the car distance.

Therefore, Compared with the car, the truck will travel four times as far.

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Answer:

Something which occupies space and have mass.

Option C. The measurement with the most significant number is 6.600 cm.

Significant numbers are numbers that have significance or meaning and give more precise details about the value of the entire numbers.

Thus, the measurement with the most significant number is 6.600 cm.

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The amount of the work done will be 100 J. Work done is denoted by W.

Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.

Work may be zero, positive and negative.it depends on the direction of the body displaced. if the body is displaced in the same direction of the force it will be positive.

The given data in the problem is;

F is the force applied = 20 N

d is the displacement = 5.0 m

The work done is found as;

W = F × d

W =  20 N × 5

W= 100 J

Hence, the amount of work done will be 100 J.

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Answer:

lifts the basket, 40J

Explanation:

The magnitude of the maximum force that the tow rope can apply to the skier without causing her to move will be 81.03 N,

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

It is defined as the product of the coefficient of friction and normal reaction.

On resolving the given force and acceleration. Mathematically aion in the different components and balancing the equation gets. Components in the x-direction.

The normal force is balanced by weight;

N = mg

The magnitude of the maximum force that the tow rope can apply to the skier without causing her to move is;

F = μN

F= μmg

F=0.14 ×  59 kg × 9.81 m/s²

F = 81.03 N

Hence, the magnitude of the maximum force will be 81.03 N,

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The side of this cube will be 2.9996 cm. The net force on the solid cube is acting upward.

What is buoyancy force?

A fluid exerts an upward force against the weight of a partly or completely submerged item. The weight of the overlying fluid causes pressure to rise with depth in a column of fluid.

Given data;

Actual weight.W=0.714 N

Apparent weight,W'=0.450 N

The density of water,ρ=1000 kg/m³

The net force on the solid cube is;

Apparent weight = actual weight - buoyancy force

Buoyancy force = Actual weight - apparent weight

F=W-W'

F = 0.714 - 0.450

F= 0.264 N

The buoyancy force(F) is found as;

F = ρgV

0.264 = 1000 × 9.81 × V

V=2.69 × 10⁺⁵

The volume of a cube is found as;

V=a³

2.69 × 10⁺⁵ m³=a³

a=0.02996 m

As we know that 1 m = 100 cm

a=2.996 cm

Hence, the side of this cube will be 2.9996 cm.

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The temperature reading in Fahrenheit scale when reading 310 K is  98.6F

Temperature is the degree of hotness or coldness of the object.

Given is a temperature in Kelvin scale = 310 K

Temperature on centigrade scale = 310 -273 = 37°C

Temperature conversion from Centigrade to Fahrenheit is

C/5 = F -32/9

Plug the value, we get

37/5 = F-32/9

66.6 = F -32

F = 32+66.6 =

F = 98.6

Thus, the temperature of 310 K in Fahrenheit is 98.6F.

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Answer:

Kinetic energy is referred to the energy associated with movement and or motion, thus the only object that is moving would be A boat sailing across the ocean.

Explanation:

A cryptologist is not a type of scientist. The correct answer is a cryptologist and the correct option is (D).

Experts in the study of methods for secure communication and data security through encryption and decryption are known as cryptologists.

Even though they are considered scientists in the broadest sense, they are not typically classed with the other natural scientists (geologists, meteorologists, and botanists) stated in the alternatives.

Due to its emphasis on the methods and mathematical principles used in encryption and decryption, cryptology is more intimately related to computer science and mathematics.

Therefore, The correct answer is a cryptologist and the correct option is (D).

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Answer:

A

Explanation:

As you go deeper, the pressure increases because the water is going farther away from the air and atmosphere

Answer:

108 is the correct answer

The good continuation is an application of the Gestalt principle.

According to the Law of Good Continuation, figures with smooth edges are more likely to be perceived as continuous than those with abrupt or sharp angles.

One rule of civil engineering is that while designing a highway, traffic should move in one direction and be as free of interruptions as feasible.

Instead of having 90-degree angles that require stops and starts, exit ramps typically incorporate curves to prevent motorists from having to halt. Applying the Gestalt concept to a good continuation

Hence the good continuation is an application of the Gestalt principle.

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Answer:

50J

Explanation:

Work done=Fd

=5×10

=50J

Greek terms psyche, which means "soul" or "mind," and logos, which means "the study of," are combined to form the english word psychology. The assertion is true.

Psychology is the name given to the scientific study of the mind and behavior. Psychologists are actively interested in researching and comprehending how the mind, the brain, and behavior work.

Psychology is a combination of the Greek words psyche, which means “soul” or “mind,” and logos, which means “the study of.”The given statement is corect.

Hence the best answer from the choices provided will be true.

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The velocity of the board relative to the ice is zero, since both are at rest.

Relative velocity is the velocity of an object in relation to another reference object or point.

When two objects are travelling or moving with the same velocity in the same direction, the relative velocity one relative to the other is zero.

Also, when two objects are at rest, the relative velocity one relative to the other is zero.

Therefore, the velocity of the board relative to the ice is zero, since both are at rest.

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The estimated density of the golf ball is  700 kg/m³

Density is defined as Mass per unit Volume.

In displacement method,  

First , we measuring the volume of water displaced by an object which tell us the volume of the object then we will use the physical balance to determine its mass.

Then calculate the density by dividing the mass by the volume.

i.e.  D = m/V

Given,  Density of water is 1.0 g/cm³

Using displacement method  , The estimated volume of golf ball is 100 cm³  and estimated mass is 7g

Then ,

Density =  10 cm³ / 7 g= 0.07 g/ cm³ = 700 kg/m³

So the estimated density of golf ball is 700 kg/m³

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Answer:

3.75 m/s

Explanation:

Comment

Let's deal with the second question first. The average velocity is 0 because the displacement (distance between the starting point and ending point) is 0.

The first question is a little harder. You don't seem to have enough information. When that happens, you can just make things up. Now there's an interesting solution. You could do it with algebra, but it is easier to see with numbers.

Givens

Formulas

t1 = d / r1

t2 = d/r2

average rate = total distance / total time

Solution

t1 = 150 m / 5 m/s = 30 seconds

t2 = 150 m / 3 m/s = 50 seconds

Total distance = 150 m + 150 m = 300 m

Total time = 30 seconds + 50 seconds = 80 seconds

Average speed = 300 m / 80 s

Answer

Average speed = 3.75 m/s

Answer:

Explanation:

Comment

You could calculate it out by assuming the same starting temperature for each substance. (You have to assume that the substances do start at the same temperature anyway).

That's like shooting 12 with 2 dice. It can be done, but aiming for a more common number is a better idea.

Same with this question.

You should just develop a rule.  The rule will look like this

The greater the heat capacity the (higher or lower) the change in temperature.

The greater the heat capacity the lower the change in temperature

That's not your question. You want to know which substance will have the greatest temperature change given their heat capacities.

Answer

lead. It has the smallest heat capacity and therefore it's temperature change will be the greatest.

Find the relationship

[tex]\\ \rm\Rrightarrow Q=mc\Delta T[/tex]

[tex]\\ \rm\Rrightarrow 100=10c\Delta T[/tex]

[tex]\\ \rm\Rrightarrow 10=c\Delta T[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{c}=\Delta T[/tex]

[tex]\\ \rm\Rrightarrow \Delta T\propto \dfrac{1}{c}[/tex]

So lower the c higher ∆T

Lead has the largest change in T as it has least capacity

Answer:

You are correct, the answer is capacitor

Answer:

[tex]\textsf {v = 20 m/s}[/tex]

[tex]\mathsf {a = 16 m/s^2}[/tex]

Explanation:

[tex]\textsf {To find velocity, let's differentatiate x :}[/tex] [tex]\implies \mathsf {v = \frac{dx}{dt} }[/tex]

⇒ [tex]\mathsf {v = \frac{d}{dx}(t^{3}+2t^{2}+4) }[/tex]

⇒ [tex]\mathsf {v = 3t^{2} +4t +0 }[/tex] [tex]\textsf {(By applying law of differentiation)}[/tex]

[tex]\textsf {Substitute t = 2 :}[/tex]

⇒ [tex]\mathsf {v = 3(2)^{2} + 4(2) }[/tex]

⇒ [tex]\textsf {v = 12 + 8}[/tex]

⇒ [tex]\textsf {v = 20 m/s}[/tex]

[tex]\textsf {To find acceleration, let's differentatiate v :}[/tex] [tex]\implies \mathsf {a = \frac{dv}{dt} }[/tex]

⇒ [tex]\mathsf {a = \frac{d}{dx}(3t^{2}+4t) }[/tex]

⇒ [tex]\textsf {a = 6t + 4}[/tex]

[tex]\textsf {Substitute t = 2 :}[/tex]

⇒ [tex]\textsf {a = 6(2) + 4}[/tex]

⇒ [tex]\textsf {a = 12 + 4}[/tex]

⇒ [tex]\mathsf {a = 16 m/s^2}[/tex]

Answer:

-1.35 N

Explanation:

Force due to q1

Force due to q2

Net Force