A small object of mass M is shot horizontally from a spring launcher that is attached to a table. All frictional forces are considered to be negligible. The ball
strikes the ground a distance D from the base of the table, as shown in the figure. A second object of mass is launched from the same launcher such that
the spring is compressed the same distance as in the original scenario. The distance from the base of the table that the object lands is
А
greater than but less than D
B
D
greater than D but less than 2D
greater than or equal to 2D.

A Small Object Of Mass M Is Shot Horizontally From A Spring Launcher That Is Attached To A Table. All

Answers

Answer 1

Answer:

  C.  greater than D, but less than 2D

Explanation:

The amount of potential energy in the system is a function of the compression of the spring. That is the same for both masses.

The potential energy is transferred to kinetic energy when the spring is released. The kinetic energy is jointly proportional to the mass and the square of the velocity. That is, the velocity is inversely proportional to the square root of the mass, for the same kinetic energy.

The horizontal distance traveled will be proportional to the launch velocity. So a halving of the mass will increase the velocity by a factor of ...

  v2 = v1·√(1/(1/2)) = v1·√2

This means the second mass will land at a distance of about D√2, a value ...

  greater than D but less than 2D.


Related Questions

What are the factors that influence the amount of elastic energy in an object

Answers

The factors that determine the amount of elastic potential energy being stored include the type of material and the amount it is deformed. The more an object is deformed, the more stored energy it has. An example would be hooking an elastic band on your finger, and then stretching it. Hope this helps!

An object in static equilibrium has a coefficient of static friction as 0.110. If the normal force acting on the object is 95.0 newtons, what is the mass of the object? A. 9.70 kilograms B. 10.5 kilograms C. 85.3 kilograms D. 95.0 kilograms E. 1.00 × 102 kilograms

Answers

Answer:

9.70 kilograms

Explanation:

I got a 100% on my test

The mass of the object is 9.7 kg. Option (A) is correct.

What is normal force?

Every day, we experience the normal force. For instance, when a book is placed on a table, the usual response force prevents the book from falling through the table, even though gravity is pulling the book downward. That implies that there is a force acting to push it upward. The word "normal force" refers to the force. Normal in this context refers to being perpendicular to the ground.

Given parameters:

the normal force acting on the object is: N =  95.0 newtons.

coefficient of static friction: μ = 0.110.

We have to find mass of the object: m = ?

We know that:

Normal force = weight of the object

⇒ N = mg

⇒ m = N/g = 95.0/9.8 kg = 9.7 kg

Hence, the mass of the object be 9.7 kg.

Learn more about normal force here:

https://brainly.com/question/13340671

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A car and driver weighing 5060N passes a sign stating "Bridge out 27.5 meters ahead." She slams on the brakes and the car decelerates at a constant rate of 14 m/s^2. The acceleration of gravity is 9.8 m/s^2. What is the magnitude of the work done stopping the car if the car just stops in time to avoid diving into the water?
Answer in units of J.

Answers

Answer:

198785.714286 Joules

Explanation:

[tex]W=f*d[/tex]

[tex]F=ma\\F=516.326530612*-14\\F=-7228.57142857 N\\[/tex]

To find work:

Now that the force and the distance are known, plug and chug:

[tex]W=f*d\\W=-7228.57142857*27.5\\W=-198785.714286J[/tex]

Note that the question is asking for the magnitude of work, so the negative can be discarded as it is a directional component.

So, your answer is

198785.714286 Joules

Dominic has a brain injury. Why is this MOST likely to be a serious injury?

Answers

If Dominic has a brain injury, then he must have sustained a serious injury.

Functions of the brain

The brain coordinates all the activities in the body such as speech, locomotion, coordination and intelligence. This makes the brain the master point of control in the body.

Brain injury

Whenever there is an injury to the brain, various parts of the body could be affected. Functions such as speech, locomotion and general coordination may become largely impaired.

Therefore, if Dominic has a brain injury, then he must have sustained a serious injury.

Learn more about the brain: https://brainly.com/question/5361122

A visitor is staying in a tent that is 11 kilometers west of the closest point on a shoreline to a coral reef. The coral reef is 3 kilometers due south of the shoreline. The visitor plans to travel from the tent to the coral reef by running and swimming. If the visitor runs at a rate of 7 kmph and swims at a rate of 2 kmph, how far should the visitor run to minimize the time it takes to reach the coral reef

Answers

Answer:

Explanation:

From the question, it says that their tent is 11 km away from the shore which is also 3 km away from the coral reef. Essentially, the tent us 11 + 3 km away from the coral reef, and that's 14 km. He has to run at a rate of 7 know to cover an 11 km length and swim at 2 kmph to cover a 3 km length.

All the visitor needs to do is run more than 7 kmph to reduce the days time. For example, running at 11 kmph takes him or her exactly 1 hour to reach the shore, before taking another swim of about an hour to reach the reef

Answer:

10.11

Explanation:

the amplitude of an oscillator decreases to 36.8% of its initial value in 10.0 s. what is the value of the time constant

Answers

Answer:

τ = 5 s

Explanation:

When a vibrating body is damped. Its amplitude starts to decrease. This decrement is exponential. And it is given as follows:

[tex]X = X_{0}e^{-\frac{t}{2\tau}[/tex]

where,

τ = Time Constant = ?

X = Instantaneous value of amplitude

X₀ = Initial Value of amplitude

t = time interval = 10 s

The ratio of decrement is given as:

[tex]\frac{X}{X_0} = 36.8\% = 0.368[/tex]

therefore, using these values, we get:

[tex]\frac{X}{X_{0}} = 0.368 = e^{\frac{10\ s}{2\tau}}[/tex]

Taking natural log (ln) on both sides, we get:

[tex]ln(0.368) = \frac{10\ s}{2\tau}\\\\\tau = \frac{10\ s}{2ln(0.368)}[/tex]

τ = 5 s

The value of the time constant for the decrease in the amplitude of this oscillator is 5.

Given the following data:

Decrease in amplitude = 36.8% = 0.368Time = 10.0 seconds.

To determine the value of the time constant:

Mathematically, the amplitude for damped harmonic motion is given by the formula:

[tex]X = X_o e^\frac{t}{2 \tau}[/tex]

Where:

t is the time.[tex]\tau[/tex] is the time constant.X is the instantaneous value of amplitude.[tex]X_o[/tex] is the initial value of amplitude.

Rearranging the formula, we have:

[tex]\frac{X}{X_o} = e^{-\frac{t}{2 \tau}}[/tex]

Substituting the given parameters into the formula, we have;

[tex]0.368 = e^\frac{-10}{2 \tau}\\\\ln(0.368) = \frac{-10}{2 \tau}\\\\-0.9997 = \frac{-10}{2 \tau}\\\\2 \tau \times -0.9997 = 10\\\\-1.9994\tau=-10\\\\\tau =\frac{-10}{-1.9994} \\\\\tau = 5.0[/tex]

Time constant = 5

Read more: https://brainly.com/question/14708169

. A ventilation fan has blades 0.25 m long rotating at 20 rpm (revolutions per minute). What is the centripetal acceleration of a point on the outer tip of a blade

Answers

Answer:

The centripetal acceleration of a point on the outer tip of a blade is 1.097 m/s²

Explanation:

Given;

length of the fan blade, r = 0.25 m

angular speed = 20 rpm

The angular speed in rad/s is given as;

[tex]\omega = \frac{20 \ rev}{ \ \ \min} \ \times \ \frac{2\pi}{1 \ rev} \ \times \ \frac{1 \ \min}{60s} = 2.095 \ rad/s \\\\[/tex]

The centripetal acceleration of a point on the outer tip of a blade is given as;

[tex]\alpha_c = \frac{v^2}{r} = \omega ^2r[/tex]

[tex]\alpha _c = (2.095)^2(0.25)\\\\\alpha _c =1.097 \ m/s^2[/tex]

Therefore, the centripetal acceleration of a point on the outer tip of a blade is 1.097 m/s²

Answer:

The centripetal acceleration = [tex]1.1m/s^2[/tex]

Explanation:

Given

[tex]rpm = 20[/tex]

therefore,

[tex]20rpm = \frac{20*2\pi}{60}\\\\=2.1 rad/s = w[/tex]

From,

[tex]V = rw\\\\V = 0.25 * 2.1\\\\V = 0.525m/s[/tex]

Centripetal acceleration,

[tex]a_c = \frac{V^2}{r}\\\\a_c = \frac{0.525^2}{0.25}\\\\a_c = 1.1m/s^2[/tex]

For more information centripetal acceleration, visit

https://brainly.com/subject/physics

Prior Knowledge
1. What do a light bulb, a toaster, a radio, and a computer all have in common?

Answers

Answer:

They all have electrical currents

Answer:

They have electronic parts and currents

A 420N force act on a 400N object, and the force is from the north.

In what direction will the object move?
Forward
Backboard
North
South

Answers

Answer:

I believe its forward or south :D

Explanation:

?
What is the definition of Phyical changes

Answers

Answer:

A physical change is the change to the physical properties of an object.

Explanation:

As an example if I take a piece of paper and cut it in half that would be a physical change. Water freezing into ice is also a physical change.

Answer : A physical change are changes affecting the form of a chemical substance, but not its chemical composition. Physical changes are used to separate mixtures into their component compounds, but can not usually be used to separate compounds into chemical elements or simpler compounds.

A graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue line runs with an upward slope from 0 seconds 3 meters to 4 seconds 15 meters.
The starting position of this object is
[___] m.

The object is traveling at a velocity of
[___] m/s.

Answers

Answer:

The starting position of this object is

3m.

The object is traveling at a velocity of

3m/s.

Answer:

it never moved (c or 3)

Explanation:

np

In which direction does the gravity of the earth act?
why do the satellite not fall while revolving around the earth.​

Answers

Answer:

Satellites don't fall from the sky because they are orbiting Earth. Even when satellites are thousands of miles away, Earth's gravity still tugs on them. Gravity--combined with the satellite's momentum from its launch into space--cause the satellite go into orbit above Earth, instead of falling back down to the groundv

Explanation:

The static frictional force between a 95-kilogram object and the floor is 45 Newtons. The kinetic frictional force is only 22 Newtons. What force must be exerted to accelerate the box at 0.5 meters per second to the south?​

Answers

Answer:

F = 69.5 [N]

Explanation:

We must remember that the friction force is defined as the product of the normal force by the coefficient of friction, and it can be calculated by the following expression.

[tex]f=N*miu[/tex]

where:

N = normal force [N]

miu = friction coefficient

f = friction force = 22 [N]

Now we must calculate the force exerted by means of Newton's second law which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

[tex]F - f = m*a[/tex]

where:

F = force exerted [N]

f = friction force [N]

m = mass = 95 [kg]

a = acceleration = 0.5 [m/s²]

Now replacing:

[tex]F - 22 = 95*0.5\\F = 47.5 + 22\\F = 69.5 [N][/tex]

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