A 1.0 kg object is attached to a 0.50 m string. It is twirled in a horizontal circle above the ground at a speed of 5.0 m/s.
The direction of the acceleration at the point shown points towards which letter?

Answer:

11.27N

Explanation:

Given parameters:

Mass of the book  = 1.15kg

Unknown:

Magnitude of the normal force  = ?

Solution:

The normal force is the vertical force exerted by a body on an object.

It can be described as the weight of an object.

 Normal force  = mass x acceleration due to gravity

 Normal force  = 1.15 x 9.8  = 11.27N

Answer:

What is the purpose of drawing a motion diagram or a particle model? Reason: In a motion diagram or a particle model, we relate the motion of the object with the background, which indicates that relative to the background, only the object is in motion. A coordinate system is helpful when you are describing motion.

Explanation:

Explanation:

Single slit diffraction

Diffraction is the phenomenon of spreading out of waves as they pass through an aperture or around objects. Diffraction occurs when the size of the aperture or obstacle is of the same order of magnitude as the wavelength of the incident wave. For very small aperture sizes, the vast majority of the wave is blocked. in case of  large apertures the wave passes by or through the obstacle without any significant diffraction.

Answer:

No change

Explanation:

In a simple harmonic motion, we have that

y = A sin(wt), where

w is the said angular frequency

The angular frequency w, is given as √(k/m)

If the amplitude, A is doubled it will have no corresponding effect on the angular frequency, w, because they do not depend on each other. A is independent of w, and w is independent of A. And as such, no matter the change in either, it doesn't affect the other

Answer:

66.8°C

Explanation:

dQ = m*cp*dT where:

m = mass of block

cp = specific heat of iron

dT = temperature change

-------

dQ = 3.5 10^4 J

cp = 0.45 Kj / Kg = 450 J / Kg

3.5 10^4 = 2.3 * 450 * dt-----dt = 35000 / 450 * 2.3 = 33.8 °

-------

Final temperature = 33 + 33.8 = 66.8 °C

Answer:

ma / cos theta is the answer you are looking for

A box of mass m is pulled by force Fp at an angle along a frictionless surface and the box accelerates to the right with a magnitude of the horizontal acceleration Fpcosθ/m, therefore the correct option is D.

Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact.

The friction force prevents any two surfaces of objects from easily sliding over each other or slipping across one another. It depends upon the force applied to the object.

A box of mass m is pulled by force Fp at an angle along a frictionless surface. The box accelerates to the right

The only horizontal force responsible for the movement of the box is the horizontal component of the force Fp which is Fpcosθ

By using equilibrium of horizontal forces

ΣFh =0

ma= Fpcosθ

a =Fpcosθ/m

The magnitude of the horizontal acceleration is Fpcosθ/m,therefore the correct option is D.

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Answer:

A

Explanation:

When coal is burned it releases many harmful chemicals into the air, such as methane (greenhouse gas) and contributes to global warming

Answer:

1962 joules

Explanation:

m = 10 kg

h = 20 m

g = 9.81 ms^-2

PE = ?

PE = MGH

PE = 10 x 9.81 x 20

PE = 1962 joules

The correct answer is 9.11 g m/s^2

Height from which a cat drops, h = 3.6 ft = 3.6 x 0.305 m = 1.098 m

Distance travelled to stop the cat, s = 12 cm = 0.12 m

Using the equation, v^2 = u^2 + 2as,

v^2 = 0 + 2gh = 2 x 9.8 x 1.098 = 21.52

v = 4.63 m/s

Speed of the cat when it the floor, v = 4.63 m/s

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Answer:

Negative acceleration

Explanation:

Let us assume a vehicle is moving with a constant velocity u and then it comes to a sudden stop.

The initial velocity of the vehicle is u and finally it comes to rest, it means final velocity is 0.

As we know that,

Acceleration is equal to change in velocity divided by time taken.

[tex]a=\dfrac{v-u}{t}\\\\\text{Put v=0}\\\\a=\dfrac{-u}{t}[/tex]

We can see that the value of acceleration is negative. Hence, it leads to negative acceleration.

Answer:

13.33m/s

Explanation:

The average velocity is the ratio of total distance traveled to the total time taken to complete the distance. The International System of Units (SI) unit of velocity is the meter per second (m/s). The Velocity is given by the equation:

Velocity = total distance traveled / total time taken

The total distance traveled = Distance traveled by horse + distance traveled by truck + remaining distance traveled = 100 m + 500 m + 1000 m = 1600 m

Total time taken = 120 s

Velocity = total distance traveled / total time taken = 1600 m / 120 s = 13.33 m/s

Velocity = 13.33 m/s

Answer:

Force = Mass × Acceleration

F = MA

F = 30kg × 3ms^-2

F = 90 N

Answer:

15mil/hr

Explanation:

To make the average speed in mph, we need to get the 40 minutes to an hour. We multiply 40 minutes by 3/2 to get 60 minutes or an hour.

40 x (3/2) = 60

This means that we need to multiply 10 miles by 3/2:

10 x (3/2) = 15 (we get 15 miles)

Average speed is equal to distance over time.

Average speed is 15mil/hr.

Hope this helps!

Answer:

The size of the force that pushes the wall is 12,250 N.

Explanation:

Given;

mass of the wrecking ball, m = 1500 kg

speed of the wrecking ball, v = 3.5 m/s

distance the ball moved the wall, d = 75 cm = 0.75 m

Apply the principle of work-energy theorem;

Kinetic energy of the wrecking ball = work done by the ball on the wall

¹/₂mv² = F x d

where;

F is the size of the force that pushes the wall

¹/₂mv² = F x d

¹/₂ x 1500 x 3.5² = F x 0.75

9187.5 = 0.75F

F = 9187.5 / 0.75

F = 12,250 N

Therefore, the size of the force that pushes the wall is 12,250 N.

Answer:

T large = 3T small

Explanation:

It's just 3 times larger

The equivalent resistance of the circuit20.0 Ω

The equivalent resistance is where the aggregate resistance connected either in parallel or series is calculated. Essentially, the circuit is designed either in Series or Parallel.

In a series circuit, the equivalent resistance is the algebraic sum of the resistances. The current through the circuit can be found from Ohm's law and is equal to the voltage divided by the equivalent resistance.

Resistors are in parallel when one end of all the resistors are connected by a continuous wire of negligible resistance and the other end of all the resistors are also connected to one another through a continuous wire of negligible resistance

The equivalent resistance is 20 OHM

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Answer:

a ) Vf = 171.7 [m/s]

b) y = 1502.6[m]

Explanation:

a) To solve this problem we must use the following equation of kinematics.

[tex]v_{f}=v_{o}+g*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0 (freefall, without initial velocity)

g = gravity acceleration = 9.81 [m/s²]

t = time = 17.5 [s]

Now replacing:

[tex]v_{f} = 0 + 9.81*17.5\\v_{f} = 171.7[m/s][/tex]

Note: The gravity acceleration is positive, since the monkey is moving in the direction of the gravity acceleration.

b)

Now using another equation of kinematics we can calculate the distance traveled.

[tex]v_{f}^{2}=v_{o}^{2}+2*g*y[/tex]

where:

y = distance traveled [m]

[tex]171.7^{2}=0 +2*9.81*y\\y=29480.9/(2*9.81)\\y=1502.6[m][/tex]

Answer:

the angle at which light bends when it enters a different medium depends on its change in speed. The greater the change in speed, the greater the angle of refraction is. For example, light refracts more when it passes from Air to Diamond then it does when it passes from Air to wate.

Answer: Refraction

Explanation:

Answer:

The value is  [tex]F = 562.7 \ N[/tex]

Explanation:

From the question we are told that

   The diameter is  [tex]d = 10 \ mm = 0.01 \ m[/tex]

    The distance between the poles is  L =  50 m

      The velocity of the wind is  [tex]v = 34 \ m/s[/tex]

Generally the horizontal force the cable puts on each other is mathematically represented as

           [tex]F = \frac{1}{2} * C_D * \rho * v^2 * A[/tex]

Here A is the area of the rope(i.e assuming the rope to be a cylinder ) which is mathematically represented as

      [tex]A = L * d[/tex]

=>   [tex]A = 0.01 * 50[/tex]

=>   [tex]A = 0.5[/tex]

Here [tex]C_D[/tex] is the coefficient of discharge of the rope and the value is  [tex]C_D = 1.5[/tex]

         [tex]\rho[/tex] is the density of air with value   [tex]\rho = 1.225 \ kg/m^3[/tex]

 So

    [tex]F = \frac{1}{2} * C_D * \rho * v^2 * A[/tex]

=>  [tex]F = \frac{1}{2} * 1.5 * 1.225 * 34^2 * 0.5[/tex]

=>   [tex]F = 562.7 \ N[/tex]

Answer:

a) the amount of heat absorbed by the water is 431995.2 J

b) the amount of heat absorbed during evaporation is 2712000 J

Explanation:

Given that;

mass of water Mw = 1.2 kg

Specific heat capacity of water Cw = 4186 J/kg.C

Change in temperature ΔT = final T - Initial T = 100 - 14 = 86°C

Now

A)

Heat required to raise the temperature of water is expressed as:

Q = Mw × Cw × ΔT

Q = 1.2 × 4186  × 86

Q = 431995.2 J

Therefore the amount of heat absorbed by the water is 431995.2 J

B)

Then heat absorbed during evaporation will be:

Q1 = Heat absorbed during phase change from water to steam = Mw × Lv

Lv = latent heat of vaporization of water = 2.26 × 10⁶ J/kg

so

Q1 = 1.2 × 2.26 × 10⁶ = 2712000 J

Therefore the amount of heat absorbed during evaporation is 2712000 J

Answer:

c. 1.47

Explanation:

       [tex]\frac{n_{i} }{n_{r} } = \frac{sin_{\theta r} }{sin_{\theta i} } (1)[/tex]

       [tex]n_{i} = \frac{1}{sin_{\theta i} } = \frac{1}{sin 43} = 1.47 (2)[/tex]

Answer:

v = 1247.92 m/s

Explanation:

The formula for kinetic energy is given as follows:

[tex]K.E = \frac{1}{2}mv^2[/tex]

Another formula that is used for Kinetic Energy is given as:

[tex]K.E = \frac{3}{2}KT[/tex]

Comparing both formulae for K.E:

[tex]\frac{1}{2}mv^2 = \frac{3}{2}KT\\\\mv^2 = 3KT\\v = \sqrt{ \frac{3KT}{m}}[/tex]

where,

v = rms speed of helium molecule = ?

K = Boltzmann Constant = 1.38 x 10⁻²³ J/k

T = Absolute Temperature = 250 K

m = mass of helium molecule = 6.646 x 10⁻²⁷ kg

Therefore,

[tex]v = \sqrt{\frac{(3)(1.38\ x\ 10^{-23}\ J/k)(250\ k)}{6.646\ x\ 10^{-27}\ kg}} \\\\[/tex]

v = 1247.92 m/s

Answer:

20000 Pa

Explanation:

Pressure is defined as the force per unit area.

Mathematically : P =F/A    where F is force and A is area

Force = 500 N

Area= 0.025 m²

P= 500/0.025

P= 20000 Pa

Answer:

first one :

the object will stay at the same speed and direction unless it is acted upon by an internal unbalanced force.

Answer:

The atoms come from the mother; it can be comprimised of its diet, nutrience within, and other enzymes within the canine body. According to the law of conservation of matter, they are transformed by never destroyed or created so they must have come from inside or outside in the kother's environment.

Hope this helps.

Answer:

This question lacks options, the options are:

A) It would increase by a factor of four.

B) It would decrease by a factor of four.

C) It would be halved.

D) It would be doubled.

E) It would not change.

The answer is C

Explanation:

The relationship between the pressure and volume has been explained by BOYLE in his law. Boyle's law states that, at a constant temperature, the volume is inversely proportional to the pressure of a gas. This means that as the VOLUME INCREASES, the PRESSURE DECREASES and vice versa.

P ∝ 1/V or V ∝ 1/P

Hence, based on this explanation, when the volume of a gas in a closed container is doubleb, its pressure will be reduced by half i.e. 1/2. In other words, the pressure will be HALVED.

Explanation:

180 million km = 10 min

? = 1 min

180 million x 10 = 1,800,000,000 km

180 million km = 600s

? = l s

108,000,000,000km