Beatrice would like to test how far a pebble will travel when it is released from a sling shot. For her experiment, she pulls the elastic back with a strong force. What prediction can you make about how far the pebble will travel?

Answer:

[tex]t_{1/2}=6 h[/tex]

Explanation:

Let's use the decay equation.

[tex]A=A_{0}e^{-\lambda t}[/tex]

Where:

We know that [tex]\lambda=\frac{ln(2)}{t_{1/2}}[/tex]

So we have:

[tex]\lambda=\frac{ln(A/A_{0})}{t}[/tex]

[tex]\frac{ln(2)}{t_{1/2}}=\frac{ln(A/A_{0})}{t}[/tex]

[tex]t_{1/2}=\frac{t*ln(2)}{ln(A/A_{0})}[/tex]

[tex]t_{1/2}=6 h[/tex]

Therefore, the half-life of the source is 6 hours.

I hope it helps you!

Answer:

Option D is the correct option.

solution,

Potential Energy(PE)=54.9 J

Mass(m)=8 kg

Acceleration due to gravity (g)=9.8 m/s^2

Height (h)=?

Now,

[tex]p.e = m \times g \times h \\ or \: 54.9 = 8 \times 9.8 \times h \\ or \: 54.9 = 78.4 \times h \\ or \: h = \frac{54 .9}{78.4} \\ h = 0.7 \: m[/tex]

Hope this helps...

Good luck on your assignment..

Answer: Trough

Explanation: The point labeled C in the wave diagram above is the TROUGH of the wave motion. The trough of a wave motion identifies or signifies the point of least or minimum Displacement by measuring the downward Displacement of the wave. The point A is the CREST which is the opposite of the trough, signifying the point of maximum or upward Displacement of the wave cycle.

Point B is the wave amplitude which signifies the maximum extent of vibration from the equilibrium position of a wave. The point labeled D refers to the wavength of the wave motion which is the distance between successive crest or troughs of a wave motion.

Answer:

The polarity of electromagnet also gets reversed when the direction of current is reversed. The current flows from negative terminal to positive terminal in an electromagnet due to the flow of electrons so polarity is also established in the electromagnet. As, the current direction is reversed, the polarity of magnet also gets reversed because the polarity of magnet depends on the direction of the current.

Answer:

the following image will make you understand

Explanation:

Answer:

i m not confirmed but i think answer is 250

Explanation:

F=500N  M=10KG   t=20sec    p=f*m/t    p=500*10/20   p=250    

Answer:

A. 500N

Explanation:

Using Impulse Momentum Theorem

F = m * a --------- (1)

where a = Δv / t

Δv = change of velocity

t = time

F = 500N

m = 10kg

t = 20s

using equation 1

500 = 10 * Δv / 20

       500 * 20

Δv = -------------   = 1000 m/s

            10

check:

impulse = change of momentum

therefore,  Ft = Δ(m*v)

      10 (1000)

F = --------------

          20

F = 500 N

Answer:

1. 19.28 secs

2. 154.22 m

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 16 m/s

Final velocity (v) = 0

Force (F) = 1000 N

Mass (m) = 1200 Kg

Time (t) =..?

Distance (s) =...?

Next, we shall determine the acceleration of the car. This can be obtained as follow:

Force (F) = 1000 N

Mass (m) = 1200 Kg

Acceleration (a) =.?

Force (F) = mass (m) x acceleration (a)

F = ma

1000 = 1200 x a

Divide both side by 1200

a = 1000/1200

a = 0.83 m/s²

Since the car is coming to rest, it means it is decelerating. Therefore, the acceleration is – 0.83 m/s²

1. Determination of time taken for the car to halt i.e stop. This can be obtained as follow:

Initial velocity (u) = 16 m/s

Final velocity (v) = 0

acceleration (a) = – 0.83 m/s²

Time (t) =.?

v = u + at

0 = 16 + (–0.83 x t)

0 = 16 – 0.83t

Rearrange

0.83t = 16

Divide both side by 0.83

t = 16/0.83

t = 19.28 secs.

Therefore, the time taken for the car to halt is 19.28 secs.

2. Determination of the distance travelled by the car before coming to rest. This can be obtained as follow:

Initial velocity (u) = 16 m/s

Final velocity (v) = 0

acceleration (a) = – 0.83 m/s²

Distance (s) =..?

v² = u² + 2as

0 = 16² + (2 x –0.83 x s)

0 = 256 – 1.66s

Rearrange

1.66s = 256

Divide both side by 1.66

s = 256/1.66

s = 154.22 m

Therefore, the distance travelled by the car before coming to rest is 154.22 m.

Answer:

Heat of the reservoir is 461.38 K or 188.1 °C

The heating load is 18.705 kW

Explanation:

COP = 8.7

working temperature [tex]T_{h}[/tex] = 248 °C = 248 + 273.3 = 521.3 K

work power W = 2.15 kW

reservoir temperature [tex]T_{c}[/tex] = ?

heating load Q = ?

We know that

COP = Q/W

Q = COP x W = 8.7 x 2.15 = 18.705 kW

Also,

COP = [tex]\frac{T_{h} }{T_{h}- T_{c} }[/tex] = [tex]\frac{521.3}{521.3- T_{c} }[/tex]

8.7 = [tex]\frac{521.3}{521.3- T_{c} }[/tex]

4535.31 - 8.7[tex]T_{c}[/tex]  = 521.3

4535.31 - 521.3 = 8.7[tex]T_{c}[/tex]  

4014.01 = 8.7[tex]T_{c}[/tex]  

[tex]T_{c}[/tex]  = 4014.01/8.7 = 461.38 K

or 461.38 -273.3 = 188.1 °C

Answer:

force on brake shoes is 10 N

Explanation:

for the master cylinder;

force applied = 140 N

diameter = 14d

for brake cylinder;

force applied on the brake shoe by the brake cylinder f = ?

diameter = d

The pressure will be transmitted undiminished from the master cylinder to the brake cylinder according to pascals pressure law.

pressure = force/area

but cross sectional area is proportional to diameter of the cylinder

therefore

[tex]\frac{140}{14d } = \frac{f}{d }[/tex]

the diameters will cancel out, and we're left with

force on brake shoes = 10 N

Answer:

276 days

Explanation:

1/4 th of the original means 2 half lives

1 half life = 138 days

So,

2 half lives = 276 days

Answer:

[tex]k=784 N/m[/tex]

[tex]\Delta x=8,8 cm[/tex]

Explanation:

Usando la ley de Hook tenemos:

[tex]F=k\Delta x[/tex]

Solving it for k we have:

[tex]k=\frac{F}{\Delta x}[/tex]

[tex]k=\frac{39,2}{0,05}[/tex]

[tex]k=784 N/m[/tex]

Usando la misma ecuación y sabiendo k tenemos:

[tex]\Delta x=\frac{F}{k}[/tex]

[tex]\Delta x=\frac{68,6}{784}[/tex]

[tex]\Delta x=8,8 cm[/tex]

Espero esto te ayude!

Answer:

No force is more familiar than gravity — it’s what keeps our feet on the ground, after all. And Einstein’s theory of general relativity gives a mathematical formulation for gravity, describing it as a “warping” of space.

Explanation:

Explanation:

the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree).

Answer:

A) The person's body temperature T_final after equilibrium is attained = 36.85°C

B) The change in the person's temperature after equilibrium is attained = 0.15°C

A high-quality medical thermometer can measure temperature changes as small as 0.1°C, hence, YES, it would detect the minute drop by 0.15°C too.

Explanation:

If we assume that the soft drink has the same density as water (since it is stated in the question that it is mostly water).

Density of water = 1 g/mL = 1 kg/L

Ignoring any heating by the person's metabolism,

A) So, heat lost by the human body = heat gained by the soft drink as it attains thermal equilibrium with the human body

Let the final temperature of the human body + soft drink set up be T

Heat lost by the human body = mCΔT

m = mass of the human body = 70.0 kg

C = Specific heat capacity of the human body = 3480 J/kg.K

ΔT = Temperature change of the human body = 37 - (Final temperature) = 37 - T

Heat lost by the body = 70 × 3480 × (37 - T)

= (9,013,200 - 243,600T) J

Heat gained by soft drink = mCΔT

m = mass of the soft drink = density × volume = 1 × 0.355 = 0.355 kg

C = specific heat capacity of the soft drink = specific heat capacity of the soft drink = 4182 J/kg.K

ΔT = (final temperature) - 12 = (T - 12)

Heat gained by the soft drink = 0.355 × 4182 × (T - 12) = (1,484.61T - 17,815.32) J

heat lost by the human body = heat gained by the soft drink as it attains thermal equilibrium with the human body

(9,013,200 - 243,600T) = (1,484.61T - 17,815.32)

9,013,200 + 17,815.32 = 1,484.61T + 243,600T

9,031,015.32 = 245,084.61T

T = (9,031,015.32/245,084.61)

= 36.8485614825 = 36.85°C

B) The change in the person's temperature = 37 - 36.85 = 0.15°C

A high-quality medical thermometer can measure temperature changes as small as 0.1°C, hence it would detect the minute drop by 0.15°C too.

Hope this Helps!!!

The equilibrium temperature is required and to find whether the temperature change can be measured by a thermometer is required.

The temperature is 310 K.

Yes, the thermometer can measure the temperature difference.

[tex]m_1[/tex] = Mass of person = 70 kg

[tex]c_1[/tex] = Specific heat of person = 3480 J/kg K

T = Equilibrium temperature

[tex]T_1[/tex] = Temperature of person = [tex]37\ ^{\circ}\text{C}+273.15 =310.15\ \text{K}[/tex]

[tex]1\ \text{L}=1\ \text{kg}[/tex] of water

[tex]m_2[/tex] = Mass of water = [tex]0.355\ \text{kg}[/tex]

[tex]c_2[/tex] = Specific heat of soft drink mostly water = [tex]4186\ \text{J/kg K}[/tex]

[tex]T_2[/tex] = Temperature of soft drink = [tex]12\ ^{\circ}\text{C}=285.15\ \text{K}[/tex]

The heat equation is

[tex]m_1c_1(T-T_1)=m_2c_2(T_2-T)\\\Rightarrow m_1c_1T-m_1c_1T_1=m_2c_2T_2-m_2c_2T\\\Rightarrow T=\dfrac{m_2c_2T_2+m_1c_1T_1}{m_1c_1+m_2c_2}\\\Rightarrow T=\dfrac{0.355\times 4186\times 285.15+70\times 3480\times 310.15}{70\times 3480+0.355\times 4186}\\\Rightarrow T=310\ \text{K}[/tex]

The temperature difference is [tex]T_1-T=310.15-310=0.15\ \text{K}=0.15\ ^{\circ}\text{C}[/tex]

Yes, the thermometer can measure the temperature difference.

Learn more:

https://brainly.com/question/11240079?referrer=searchResults

Answer:

Option B. is the best choice.

Explanation:

Static friction is a force that keeps an object at rest. It must be overcome to start moving the object. Once an object is in motion, it experiences kinetic friction.

B. Starting to pedal a bike that is stationary

Best Regards!

Answer:

I think that the answer is option B)

Explanation:

Answer: B

Explanation:

Displacement is a vector quantity. it is the distance covered in a specific direction.

Whereas, Velocity = displacement/time

Make displacement the subject of formula

Displacement = velocity × time

From the graph, velocity is constant which is equal to 1 m/s

Displacement in the last two seconds will be velocity multiply by 2. Since time = 2s. Therefore,

Displacement = 1 × 2 = 2 m

So, the particle displacement in the last two seconds will be 2 metres

Answer:

Current or voltage should also be changed.

Explanation:

Please i need a Brainliest.

Explanation:

action and reaction forces act on the same body since these are forces that oppose that are opposite

Answer:

180 kJ

Explanation:

Given that:

Mass (m) = 5 kg

Initial temperature (T1) = 28°C

Final temperature (T2) = 68°C

The change in temperature (ΔT) = T2 - T1 = 68°C - 28°C = 40°C

Specific heat capacity of aluminium (c) = 900 J/kg°C

The quantity of heat energy required (q) is given by:

q = mcΔT

q = 5 kg × 900 J/kg°C × 40°C

q =  180000 Joules

q = 180 kJ

Therefore 180 kJ is required to raise the temperature of aluminium from 28°C to 68°C.

Answer:

If there isn't this type of mechanism, the whole setup will blow even if only one lamp burns out. Doing this mechanism is to decrease the overall resistance resulting in an increased current (Since resistance and current are inversely related) which is the best to blast the fuse.

Answer:

v = 2.22 m/s

Explanation:

First we apply the second equation of motion to the vertical motion of the body:

s = Vi t + (1/2)gt²

where,

s = y = vertical distance covered = 200 m - 100 m = 100 m

Vi = V₀y = Vertical Component of Initial Velocity = 0 m/s  (because spider man jumps horizontally, thus his velocity has no vertical component initially)

t = Time Taken to Land on 100 m high building = ?

g = 9.8 m/s²

Therefore,

100 m = (0 m/s)t + (0.5)(9.8 m/s²)t²

t² = (100 m)/(4.9 m/s²)

t = √(20.4 s²)

t = 4.5 s

Now, we analyze the horizontal motion. Neglecting air friction, the horizontal motion is uniform with uniform velocity. Therefore,

s = vt

where,

s = x = horizontal distance covered = 10 m

v = V₀ₓ = Horizontal Component of Initial Velocity = Initial Velocity = ?

Therefore,

10 m = v(4.5 s)

v = 10 m/4.5 s

v = 2.22 m/s

Answer:

Solution,

Displacement(s)=200 m

Initial velocity (u)=?

Final velocity(v)=0 m/s^2

acceleration due to gravity(g)=-9.8 m/s^2

now,

[tex] {v}^{2} = {u}^{2} + 2as \\ {(0)}^{2} = {u}^{2} + 2 \times ( - 9.8) \times 200 \\ {u}^{2} = 2 \times 9.8 \times 200 \\ {u}^{2} = 3920 \\ u = \sqrt{3920} \\ u = \sqrt{ {62.6}^{2} } \\ u = 62.6 \: metre \: per \: second[/tex]

Again,

Finding time taken,

[tex]v = u + at \\ t = \frac{v - u}{a} \\ = \frac{0 - 62.6}{ - 9.8} \\ = \frac{ - 62.6}{ - 9.8} \\ = 6.39 \: seconds[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

P = 1600 W

Explanation:

The weight of the buggy on Mars is 40 N.

It landed on area of 0.025 m^2.

Pressure is given as force per unit area:

P = F / A

where F = force

A = area

Weight is a force, therefore, the pressure exerted by the buggy on that surface of Mars is:

P = 40 / 0.025

P = 1600 W

Answer:

Approximately [tex]480\; \rm kPa[/tex], assuming that this gas is an ideal gas.

Explanation:

By Boyle's Law, the pressure of a sealed ideal gas at constant temperature will be inversely proportional to its volume. Assume that this gas is ideal. By this ideal gas law:

[tex]\displaystyle \frac{P(\text{Final})}{P(\text{Initial})} = \frac{V(\text{Initial})}{V(\text{Final})}[/tex].

Note that in Boyle's Law, [tex]P[/tex] is inversely proportional to [tex]V[/tex]. Therefore, on the two sides of this equation, "final" and "initial" are on different sides of the fraction bar.

For this particular question:

Rearrange the equation to obtain:

[tex]\displaystyle P(\text{Final}) = \frac{V(\text{Initial})}{V(\text{Final})} \cdot P(\text{Initial})[/tex].

Before doing any calculation, think whether the pressure of this gas will go up or down. Since the gas is compressed, collisions between its particles and the container will become more frequent. Hence, the pressure of this gas should increase.

[tex]\begin{aligned}P(\text{Final}) &= \frac{V(\text{Initial})}{V(\text{Final})} \cdot P(\text{Initial})\\ &= \frac{1.0\; \rm m^{3}}{0.25\; \rm m^{3}} \times 120\; \rm kPa = 480\; \rm kPa\end{aligned}[/tex].

Answer:

Net displacement = 3.2 m

Explanation:

Given:

Mass of man = 80 kg

Mass of trolley = 320 kg

Speed = 1 m/s

Time = 4 sec

Computation:

Displacement by man = 1 m/s × 4 sec

Displacement by man = 4 m

Net ext force (trolley) = com at rest

So,

320 × X = 80(4 - X)

32X = 32 - 8X

40X = 32

X = 0.8 m

Net displacement = 4 m - 0.8 m

Net displacement = 3.2 m

Answer:

3) 3.2 m

Explanation:

The computation of the displacement relative to the ground after 4 seconds is shown below:

Let us assume the following

Starting x coordinate is at the origin

As it does not involve any external force so x coordinated would remain unchanged

Now the separation between the man and the trolley is

[tex]= 4 \times 1[/tex]

= 4 m

And, we assume the displacement of man be x

So, for trolley it would be (4 -x)

Now we develop the equation which is

[tex]80 \times x = 320 \times (4 - x)[/tex]

x = 16 - 4x

Therefore x = 3.2 m

Answer:

The automobile tire rotates 91 revolutions

Explanation:

Given;

angular acceleration of the automobile, α = 2.13 rad/s²

time interval, t = 23.2-s

To calculate the number of revolutions, we apply the first kinematic equation;

[tex]\theta = \omega_i \ + \frac{1}{2} \alpha t^2[/tex]

the initial angular velocity is zero,

[tex]\theta =0\ + \frac{1}{2} (2.13) (23.2)^2\\\\\theta = 573.2256 \ Rad[/tex]

Find how many revolutions that are in 573.2256 Rad

[tex]N = \frac{\theta}{2 \pi} = \frac{573.2256}{2\pi} \\\\N = 91 \ revolutions[/tex]

Therefore, the automobile tire rotates 91 revolutions

Answer: 4.3 x 10^6 J

Explanation: P= W/t so W=Pt.

The power here is 1600 J/s (1.6 kW) and the time is 3600s (1 hour x 60 mins x 60 seconds).

1600x3600 = 5760000 J (5.76 x 10^6 J).

Efficiency = Eout/Ein so Eout = Efficiency x Ein.

(0.75) x (5.76 x 10^6) = 4.3x10^6 J.

Answer:

It is not a uniform velocity, because his velocity increases for 5 m every second (acceleration = 5m/s2), meaning his velocity always changes.

When he starts at rest, his velocity is 0 m/s. But in 1 second later, his velocity is already 5m/s. At 2 seconds, his velocity will be 10 m/s.

Answer:

A  mercury barometer is a device use to measure stomspheric pressure and is constructed as following:

The position of tube creates vacuum between the closed end of the tube and liquid surface and the Mercury has high density that is why used as the liquid to measure pressure.