The box in the right diagram takes 1.1 sec to strike the floor after being released from rest. Find the landing speed of the 0.3-kg box, the tension of the rope, and moment of inertia of the pulley.

Answer:

a. t = 1.43 s

b. d = 7.88 m

Explanation:

a. The time of flight can be found using the following equation:

[tex] y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} [/tex]

Where:

[tex]y_{f}[/tex]: is the final height = -10 m

[tex]y_{0}[/tex]: is the initial height = 0

[tex]v_{0_{y}}[/tex]: is the initial speed in the vertical direction = 0

g: is the acceleration due to gravity = 9.81 m/s²

By solving the above equation for "t" we have:

[tex] t = \sqrt{\frac{2y_{f}}{g}} = \sqrt{\frac{2*10 m}{9.81 m/s^{2}}} = 1.43 s [/tex]

Hence, the ball will hit the ground in 1.43 s.

b. The distance in the horizontal direction can be found as follows:

[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]

Where:

x₀: is the initial position in the horizontal direction = 0

a: is the acceleration in the horizontal direction = 0 (it is moving at constant speed)

[tex] x_{f} = 5.51 m/s*1.43 s = 7.88 m [/tex]

Therefore, the ball will travel 7.88 m before it hits the ground.

I hope it helps you!

Answer:

Explanation:

Use kinematics equations

You have Vi=10m/s and Vf=50m/s and t=2s

Use equation Vf=Vo+at      50=10+a(2)

50=10+2a

40=2a

a=20 m/s^2

Answer:

letter e.

Explanation:

because i know its not too deep

Answer:

For two objects of charges q1 and q2, that are separated by a distance R, the force that each object suffers is given by the Coulomb's:

F = k*q1*q2/R^2

If both charges have the same sign, then we have a positive force, which means that the objects are "pushing" each other, then this is a repulsive force.

If instead, each object has a charge with a different sign, the force will be negative, then the objects will be pulling each other, and the force is an attractive force.

a) Whit this in mind, the two possible things that can happen if a charged object is near another charged object are:

The objects repel each other, which happens when both objects have charges with the same sign.

The objects attract each other, which happens when the objects have charges with a different sign.

b) A charged balloon most probably has a static charge (the type of charge that can be obtained by rubbing the balloon with a piece of cloth), which means that it has extra electrons, and we know that electrons have a negative charge, then we can assume that this balloon has a negative charge.

Then if we put another charged balloon (also with static charge) near our original balloon they will repel each other, this happens because both balloons have a negative charge.

The spring constant of the given bow spring is equal to  1.77 × 10⁵ N/m.

Hooke's law can be described as a law that states that the force (F) required to extend or compress a spring by displacement linearly with respect to that displacement along a straight line.

The spring force can be represented in the form of an equation:

F = -kx

where k is a spring constant of the spring and x is the deformation of the spring. The negative sign shows that force is restoring force.

The energy that can be stored in the spring when it is stretched is given by:

E = (1/2)kx²

Given, the energy stored in the spring when it is stretched, E = 1000J

The distance by which the bow spring is stretched, x = 0.15 m

2000 =  (1/2) × k (0.15)²

k = 1.77 × 10⁵ N/m

Learn more about Hooke's law, here:

brainly.com/question/13348278

#SPJ2

Answer:

Option C. 83.8 J

Explanation:

From the question given above, the following data were obtained:

Mass (m) of object = 2 Kg

Velocity (v) of the object = 5 m/s

Height (h) = 3 m

Mechanical energy =.?

Next, we shall determine the kinetic energy of the object. This can be obtained as shown below:

Mass (m) of object = 2 Kg

Velocity (v) of the object = 5 m/s

Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 2 × 5²

KE = 1 × 25

KE = 25 J

Next, we shall determine the potential energy of the object. This can be obtained as shown below:

Mass (m) of object = 2 Kg

Height (h) = 3 m

Acceleration due to gravity (g) = 9.8 m/s²

Potential energy (PE) =.?

PE = mgh

PE = 2 × 9.8 × 3

PE = 58.8 J

Finally, we shall determine the mechanical energy of the object. This can be obtained as shown below:

Kinetic energy (KE) = 25 J

Potential energy (PE) = 58.8 J

Mechanical energy =?

Mechanical energy = KE + PE

Mechanical energy = 25 + 58.8

Mechanical energy = 83.8 J

Explanation:

1.The somatic nervous system is the part of the peripheral nervous system associated with the voluntary control of body movements via skeletal muscles. 

2. The autonomic nervous system is a control system that acts largely unconsciously and regulates bodily functions, such as the heart rate, digestion, respiratory rate, pupillary response, urination, ect...

3. Sympathetic Division is a term used by researchers and medical practitioners to describe the subdivision of the autonomic nervous system (that controls involuntary and automatic physical reactions) that responds to emergency situations by mobilizing and controlling the energy necessary to cope with the situation.

4. The part of the autonomic nervous system that tends to act in opposition to the sympathetic nervous system, as by slowing down the heart and dilating the blood vessels. It also regulates the function of many glands, such as those that produce tears and saliva.

5. a regulatory substance produced in an organism and transported in tissue fluids such as blood or sap to stimulate specific cells or tissues into action.

Answer:

0.78 m

Explanation:

us the formula

speed = frequency x wavelength

343 = 440 x wavelength

343 / 440 = wavelength

wavelength = 0.78 m

I think the last option, you wrote wrongly, it is supposed to be 0.78 not 0.078 .

if you think I am wrong please do tell me, I will redo this.

hope this helps

Answer:

c.

is the answer please brainliest

Answer:

MIXTURE

1 In a mixture two or more substances are mixed together (elements or compounds)

2Therd is no fixed proportion of the constituents

3 The mixture may or may not be homogenous

4 There is no chemical reaction between the constituent substances

5 There cannot be a chemical formula for a mixture

6 Heat or any other type of energy is not required or released during the formation of a mixture

7 The constituents can be separated using simple physical processes

8 The properties of the constituents are retaied

COMPOUND

1 Two or more elements form a compound

2 The constituent elements combine in a definite proportion to form a compound

3 The elements are in a definite proportion in any part or fraction of the compound

4 There is a chemical reaction in the formation of a compound

5 A compound has always a chemical formula for a compound

6 Heat orany other energy is often required for the formation of a compound or released during the formation of a compound

7 The constituent elements can't be separated using simple physical processes in case of a compound

8 The properties of the constituent elements are not retained in the compound

Answer:

B. measure the distance that the plane flew and record it

Explanation:

Answer:

8.333*10^-6 ohms

Explanation:

Resistivity of a material is expressed as;

p = RA/l

R is the resistance of the material

A is the cross sectional area

l is the length of the material

Given

R = 5 ohms

A = 0.5mm^2

A = 5 * 10^-7m^2

l = 30cm  = 0.3m

Substitute into the formula;

p = (5 *  5 * 10^-7m^2)/0.3

p = 25 * 10^-7/0.3

p = 0.0000025/0.3

p = 8.333*10^-6

Hence its resistivity at 20 degrees Celsius is 8.333*10^-6 ohms

Answer:19.51%

Explanation:

Answer: 5 amps

Explanation: I = Q/t

Answer:

[tex]2.5[/tex]

Explanation:

[tex]0.0+5.0=5.0[/tex]

[tex]\frac{5}{2} =2.5[/tex]

hope this helps!!!!!!!!!!

Answer:

A

Explanation:

the moon rotates exactly once every time it circles the Earth.

Answer:

3×10^6

Explanation:

frequency is the speed of light ( c) which is a constant number divided the wavelength

f = 3×10^6 / 1.0

Answer:

48 degress

Explanation:

An earthquake causes many different intensities of shaking in the area of the epicenter where it occurs. So the intensity of an earthquake will vary depending on where you are. Sometimes earthquakes are referred to by the maximum intensity they produce. In the United States, we use the Modified Mercalli Scale. Earthquake intensity is a ranking based on the observed effects of an earthquake in each particular place. Therefore, each earthquake produces a range of intensity values, ranging from highest in the epicenter area to zero at a distance from the epicenter.

Answer:

D

Explanation:

F=ma

F of 5 kg rock = 49N

F of 10 kg rock = 98 N

Divide by respective masses to get acceleration, and of course you will get 9.8 m/s^2 for both.

Now, use potential energy equals kinetic energy. mgh=(1/2)mv^2 mass cancels out of the equation, since it's on both sides, so we can stop right there. We have algebraically determined that mass does not affect acceleration or velocity!

Hope this helped.

Answer:

expands

Explanation:

Answer:

U could measure it in area and in operations.

Answer:

meters, millimeters, kilometers, centimeters, inches, feet, yards, miles