A slingshot is fired with an initial velocity of 100 m/s at an angle of 55° follows a parabolic trajectory and hits a stationary balloon at the top of its path. With what horizontal speed does the slingshot pebble hit the balloon?

Answers

Answer 1

Answer:

The horizontal speed with which the slingshot hits the balloon is approximately 57.358 m/s

Explanation:

The given parameters of the slingshot motion are;

The initial velocity of the slingshot, v = 100 m/s

The angle (to the horizontal) at which the slingshot is fired makes, θ = 55°

The path of the slingshot which hits the stationary balloon at the top of its flight = Parabolic trajectory

The horizontal component of the velocity = vₓ = v·cos(θ) = Constant

vₓ = 100 × cos(55°) ≈ 57.358

The horizontal speed with which the slingshot hits the balloon = vₓ ≈ 57.358 m/s.


Related Questions

HELPP!!!

1)Explain how a diode could be used to convert a.c. to d.c., and suggest one disadvantage of this.

2) Some energy is always transferred to the surroundings when a current flows through a wire.

a) How is this energy transferred?

b) Is this energy always wasted energy? Explain your answer.

3) You can induce an electric current in a wire by moving a magnet relative to the coil.

A) Describe two different ways in which you can increase the size of the induced current.

B) Describe how you can reverse the direction of the induced current.

Answers

Try to split the questions for easy access

A 35 N force makes a 10 degree angle with the positive x-axis. What is the magnitude of the vertical component of the force?

Answers

Answer:

6.07 N

Explanation:

Given that,

Force, F = 35 N

It makes 10 degree angle with the positive x-axis.

We need to find the magnitude of the vertical component of the force. It can be given by :

[tex]F_y=F\sin\theta\\\\=35\times \sin(10)\\\\=6.07\ N[/tex]

So, the magnitude of the vertical component of the force is 6.07 N.

Answer:

Vertical component of force is equal to [tex]6.067[/tex] N

Explanation:

The magnitude of the vertical component on any force when α is the angle between the direction of force and the X -axis is

[tex]F_y = F * Sin\alpha[/tex]

Substituting the given values in above equation, we get -

[tex]F_y = 35 * Sin 10\\F_Y = 35 * 0.1736\\F_Y = 6.067[/tex]

Vertical component of force is equal to [tex]6.067[/tex] N

A student throws a 0.22 kg rock horizontally at 20.0 m/s from 10.0 m above the ground. Find the initial kinetic energy of the rock.

Answers

Answer:

44J

Explanation:

Given parameters:

Mass of rock  = 0.22kg

Initial velocity  = 20m/s

Distance moved  = 10m

Unknown:

Initial kinetic energy of the rock  = ?

Solution:

To solve this problem, we need to understand that kinetic energy is the energy due to the motion of a body.

It is mathematically expressed as;

     Kinetic energy  = [tex]\frac{1}{2}[/tex] m v²

m is the mass

v is the velocity

   Kinetic energy  =  [tex]\frac{1}{2}[/tex] x 0.22 x 20²   = 44J

In a binary ionic compound, the electrons are

Answers

Answer:

Transferred from one atom to another

Explanation:

In a binary ionic compound, the electrons are transferred from one atom to another, thus forming positive and negative charges on the respective atoms involved, and thereby creating electrostatic forces which thus form the ionic bond.

Answer:transfered from the metal to the nonmetal

Explanation:i took the quiz:)

A ball was rolling downhill at 2 m/s. After 5s, it was rolling at 90 m/s. What is its acceleration?

Answers

Answer:

17.6 m/s²

Explanation:

Given:

[tex]v_{f}[/tex] = 90 m/s (final velocity)

[tex]v_{i}[/tex] = 2 m/s (initial velocity)

Δt = 5s (change in time)

The formula for acceleration is:

[tex]a_{avg}[/tex] = Δv / Δt

We can find Δv by doing

Δv = [tex]v_{f}[/tex] - [tex]v_{i}[/tex]

Replace the values

Δv = 90m/s - 2m/s

Δv= 88m/s

Using the equation from earlier, we can find the acceleration by dividing the average velocity by time.

[tex]a_{avg}[/tex] = Δv / Δt

[tex]a_{avg}[/tex] = [tex]\frac{88m/s}{5/s}[/tex]

acceleration = 17.6 [tex]m/s^{2}[/tex]

Force is a push or pull that causes an object to change speed change direction or to change ___ or _____.

Answers

Answer:

acceleration or velocity

Explanation:

a light bulb with a resistance of 2.0 ohms is connected to a 1.5 v battery. what is the current in the circuit?​

Answers

Explanation:

I= V/R V = 1.5v R = 2 ohm I =1.5/2 = 1.5×10/2×10 =15 / 20 =3/4 I = 0.75 A

Taking into account the Ohm's Law, the current in the circuit is 0.75 amperes.

The basic relationships of the intensity of the current, voltage and resistance are as follows:

The current intensity of a circuit increases when the voltage is increased without varying the resistance. The current intensity of a circuit decreases when resistance is increased without varying the voltage.

These two relationships constitute Ohm's Law. So, Ohm's law is the relationship between electrical conductors and their resistance, which establishes that the current that passes through the conductors is proportional to the voltage applied to them.

Ohm's law expressed mathematically is:

V = R×I

where:

V is the electric potential in voltsI is the current in amperesR is the resistance in ohms.

In this case, you know:

V= 1.5 voltsR= 2 ohmsI= ?

Replacing:

1.5 volts= 2 ohms* I

Solving:

I= 1.5 volts ÷2 ohms

I= 0.75 amperes

In summary, the current in the circuit is 0.75 amperes.

Learn more about Ohm's law:

https://brainly.com/question/12372387?referrer=searchResultshttps://brainly.com/question/11420583?referrer=searchResultshttps://brainly.com/question/796939?referrer=searchResults

A spring with a spring constant of 400 n / M has a mass hung on it so it stretches 8 cm. calculate how much mass the spring is supporting.

Answers

Answer:

3.3kg

Explanation:

Given parameters:

Spring constant = 400N/m

Extension  = 8cm  = 0.08m

Unknown:

Amount of mass the spring is supporting  = ?

Solution:

To solve this problem:

     F  = kE

F is the force

k is the spring constant

E is the extension

  So;

            F  = 400 x 0.08  = 32N

Mass;

       Force  = mass x acceleration due to gravity

          32  = mass x 9.8

  Mass = 3.3kg

The mass the spring is supporting is 3.27 Kg.

We'll begin by calculating the force acting on the spring.

Spring constant (K) = 400 N/mExtension (e) = 8cm = 8 / 100 = 0.08 mForce (F) =?

F = Ke

F = 400 × 0.08

F = 32 N

Finally, we shall determine the mass. This can be obtained as follow:

Force (F) = 32 NAcceleration due to gravity (g) = 9.8 m/s²Mass (m) =?

m = F / g

m = 32 / 9.8

m = 3.27 Kg

Therefore, the mass the spring is supporting is 3.27 Kg

Learn more about spring constant:

https://brainly.com/question/13511965

A large pendulum swings in the lobby of the United Nations building in New York City. The pendulum has a 91-kg gold-plated bob and a length of 22.9 m. Assume g = 9.81 m/s2.
Part A
How much time does it take for the bob to swing from its maximum displacement to its equilibrium position?
Express your answer to three significant figures and include the appropriate units.

Answers

Answer:

t = 2.40 s

Explanation:

It just told me

Help! will give brainliest!

Answers

Answer:

I would say increasing the balls kinetic energy

Explanation:

Because she is moving the ball and increasing kinetic energy

A 57 kg pole vaulter running at 11 m/s vaults over the bar. Her speed when she is above the bar is 1.1 m/s. The acceleration of gravity is 9.8 m/s 2 . Find her altitude as she crosses the bar. Neglect air resistance, as well as any energy absorbed by the pole. Answer in units of m.

Answers

Answer:

Her altitude as she crosses the bar, h₂ is approximately 6.1 m

Explanation:

The given parameters of the motion of the pole vaulter are;

The mass of the pole vaulter, m = 57 kg

The speed with which the pole vaulter is running, u = 11 m/s

The speed of the pole vaulter when she crosses the bar, v = 1.1 m/s

The acceleration due to gravity, g = 9.8 m/s²

From the total mechanical energy, M.E. equation, we have;

M.E. = P.E. + K.E.

Where;

P.E. = The potential energy of the motion = m·g·h

K.E. = The kinetic energy of the motion = 1/2·m·v²

By the principle of conservation of energy, we have;

The change (loss) in kinetic energy, ΔK.E. = The change (gain) in potential energy, ΔP.E.

ΔK.E. = 1/2·m·(v² - u²)

ΔP.E. = m·g·(h₂ - h₁)

Where;

h₁ = The ground level = 0 m

h₂ = The altitude with which she crosses the bar

∴ 1/2·m·(v² - u²) = m·g·(h₂ - h₁)

(h₂ - h₁) = (v² - u²)/(2·g) = (11² - 1.1²)/(2·9.8) = 6.11173469388

h₂ = 6.11173469388 + h₁ = 6.11173469388 + 0 = 6.11173469388

h₂ = 6.11173469388

Her altitude as she crosses over the bar, h₂ ≈ 6.1 m.

If you were to look at grains of table salt with a magnifying glass, you would see that each grain is a little cube. Why are salt grains cubical?

Answers

Answer:

All extended structure compounds form cubes. Sodium and chlorine atoms both have cubical shapes. In the extended structure of NaCI, atoms are arranged in a cubical pattern

Please answer the question for gravitational field attached in the image.

Answers

We are given:

Radius of Venus=  6 * 10⁶ m

Height above the planet's ground = 9.4 * 10⁶ m

Mass of Venus = 4.867 * 10²⁴ kg

Finding the Gravitational Field:

We first need to calculate the distance between the center of masses

Distance between center of masses:

Since the point is above the surface of Venus, the radius of Venus and the height will add

Distance between the center of masses = 9.4*10⁶ + 6 * 10⁶

Distance (r) = 15.4 * 10⁶ m

Now back to Gravitational field!

We know the formula for Gravitational Field:

g = GM / r² [where g is the gravitational field, M is the mass of the planet, r is the distance between the center of masses and G is the gravitational constant]

plugging the known values in the formula:

g = (6.67 * 10⁻¹¹ * 4.867 * 10²⁴) / (15.4*10⁶)²       [G = 6.67*10⁻¹¹ Nm²/kg²]

g = (32.46 * 10¹³) / (237 * 10¹²)

g = (32.46 * 10¹³) / (23.7 * 10¹³)

g = 32.46/23.7                                                   [the 10¹³ got cancelled out]

g = 1.367 N/kg² (or m/s²)

Negative charges can move from one insulator to another.
True
False

Answers

Answer:

True

Explanation:

Because in atom the negative charge become lose or gain.

A laser beam from Earth is reflected by a mirror placed on the Moon. If the speed of the beam is 3.00 x 108 m / s and the distance from Earth to the Moon is 3.81 x 108 m, how long in seconds will the laser beam take to return to its starting point?

Answers

Answer:

1.27seconds

Explanation:

Speed = 324 m/s , Distance = 411.48m

Time = Distance/Speed

Time = 411.48/324 seconds

Time = 1.27seconds ( Ans)

Sergio wants to begin a sensible weight loss program. Along with healthy nutrition which fitness product would benefit him the most in this weight loss goal?

Answers

Answer:

b. Comfortable pair of athletic shoes.

Explanation:

Analyzing the information and the options, the fitness product that would most assist Sergio in reaching his weight loss goals would be the pair of comfortable sports shoes, which he could use to do running exercises.

For beginning practitioners it is ideal to start exercising with short 30-minute walks until the body adapts and you gain physical conditioning and endurance.

Running has the advantage of being an excellent exercise that can be practiced anywhere, and helps in the production of dopamine, which produces a feeling of well-being and also helps in reducing hunger, in addition to working and strengthening various muscle groups in the body, activate blood circulation, decrease anxiety, improve cholesterol levels, control blood pressure, etc.

Answer:

b. Comfortable pair of athletic shoes.

Explanation:

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