answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
otez555
2 months ago
6

A friend tosses a baseball out of his second floor window with initial velocity of 4.3m/s(42degrees below the horizontal). The b

all starts from a height of 3.9m and you catch the ball 1.4m above the ground.
a) Calc the time the ball is in the air (ans. 0.48s)
b)Determine your horisontal distance from window (ans. 1.5 m)
c)Calc the speed of ball as you catch it (ans: 8.2m/s)

I dont get what 42 m below the horizontal is, can someone give me direction on how to do this?
Physics
2 answers:
Keith_Richards [3.2K]2 months ago
7 0
<span>Part b) Find your horizontal distance from the window (answer: 1.5 m)
Part c) Calculate the speed of the ball upon catching it (answer: 8.2 m/s)

I'm confused about what "42 degrees below the horizontal" means. Could someone provide guidance on how to approach this?</span>
Maru [3.3K]2 months ago
6 0

Conclusion:

Part a)

t = 0.48 s

Part b)

x = 1.5 m

Part c)

v = 8.23 m/s

Explanation:

The ball's velocity is given by

v = 4.3 m/s

Now, we consider its two components of velocity:

v_x = 4.3 cos42 = 3.19 m/s

v_y = 4.3 sin42 = 2.88 m/s

Part a)

Now looking at the vertical direction we have:

y = y_o + v_y t + \frac{1}{2}gt^2

1.4 = 3.9 - 2.88 t - 4.9 t^2

We thus have:

t = 0.48 s

Part b)

The distance traveled by the ball in the horizontal plane is expressed as:

x = v_x t

x = 3.19 \times 0.48

x = 1.5 m

Part c)

The speed in the x-direction remains constant:

So, we find:

v_x = 3.19 m/s

And the speed in the y direction is given by:

v_y = v_i + at

v_y = 2.88 + (9.8)(0.48)

v_y = 7.58 m/s

Thus, the final speed is:

v = \sqrt{v_x^2 + v_y^2}

v = 8.23 m/s

You might be interested in
Most calculators operate on 6.0 V. If, instead of using batteries, you obtain 6.0 V from a transformer plugged into 110-V house
kicyunya [3294]
1/0.0545. The transformation ratio of primary coil turns to secondary coil turns is directly proportional to the voltage transformation occurring. With 6.0 V on the secondary side (output) and 110 V on the primary side (input), the voltage ratio is calculated as 6/110 = 0.0545. This means for each turn in the primary coil, there are 0.0545 turns in the secondary coil.
6 0
1 month ago
Starting with only the Balmer series light (visible light), how could we ensure that the solar panels generate a current that Ma
ValentinkaMS [3465]

The right answer is (a).

Solar panels create electric current through the photoelectric effect, which describes how photons strike certain material surfaces, resulting in the release of electrons when light with the correct frequency hits them. A photon will interact with an electron on the panel, causing it to be ejected from the panel's surface.

As the illumination on the panel becomes brighter, the intensity of the light rises, indicating an increase in the number of photons. Each photon has the potential to liberate an electron; thus, as the number of incoming photons rises, so does the quantity of freed electrons. Given that the photoelectric current reflects the rate at which these electrons flow, an increase in light intensity leads to a corresponding rise in the photoelectric current.

If the frequency of the light is increased without a change in brightness, the photoelectric current remains the same because the total number of photons does not increase. Yet, the electrons that are ejected do escape with higher kinetic energy. However, since the total number of electrons liberated stays unchanged, the current remains constant regardless of the electrons' increased energy. Thus, option b is incorrect.

Increasing the wavelength of the light means the energy of the photons decreases. This would cause the emitted electrons to have lower energy. However, if the brightness is consistent, the number of electrons remains the same, and as a result, there would be no change in the photoelectric current. Therefore, choice (c) is also incorrect.

The correct answer is (a). To generate the needed current, the brightness of the incident light must be increased.

8 0
2 months ago
Read 2 more answers
Ferns that eject spores generally do so in pairs, with two spores flying off in opposite directions. The structure from which th
Maru [3345]

Answer:

It eliminates recoil.

Explanation:

Every action has a corresponding reaction that is equal and opposite.

According to the conservation of momentum, when a single spore is released, the fern experiences a recoil that diminishes the energy and velocity of the spore. However, by ejecting the spores in pairs, the recoil is neutralized, allowing the entire energy to be imparted to the spores, which leads to increased launch speeds.

5 0
1 month ago
Suppose a new asteroid was recently discovered which takes 557 months to orbit the Sun once (that's equal to 16,700 days or 46.4
Keith_Richards [3271]

Answer:

The average distance of the new asteroid from the Sun is estimated to be (2.02 × 10⁶) km.

Explanation:

The orbital speed of planets varies based on their distance from the Sun, which also affects their orbital period.

With its 557 months, equivalent to 46.4 years for an orbit around the Sun, the new asteroid's speed is situated between the orbital speeds of Saturn and Uranus.

Uranus orbits the Sun in 84 years at 24.61 km/hour,

while Saturn completes its orbit in 29.4 years at 34.82 km/hour.

To interpolate the speed for our asteroid at 46.4 years,

we denote its speed as x.

84 years ----> 24.61 km/h

46.4 years ----> x km/h

29.4 years -----> 34.82 km/h

Setting up the proportion:

(84 - 46.4)/(46.4 - 29.4) = (24.61 - x)/(x - 34.82)

Solving for x gives the asteroid's speed as 31.64 km/hr.

To find the average speed, use the formula:

Average speed = (total distance)/(time taken).

The total distance covered equals the circumference of the orbit around the Sun = 2πR,

where R = distance from the asteroid to the Sun.

Time taken = 16700 days = 16700 × 24 hours = 400800 hours.

Thus, we find that 31.64 = (2πR)/400800.

From this, we get 2πR = 31.64 × 400800 = 12681312 km.

And, R = 12681312/(2π) = 2018293.5 km = (2.02 × 10⁶) km.

8 0
2 months ago
A metal object with a mass of 19g is heated to 96c, then transferred to a calorimeter containg 75g of water at 18c. the water an
Yuliya22 [3333]

Let Cp represent the specific heat of the metal object. To find this, we can set up a heat balance equation (heat lost by metal = heat gained by water):

- 19g * Cp * (22degC – 96degC) = 75g * 4.184J/g degC * (22degC - 18degC)

<span>Cp = 0.893 J/g degC</span>

6 0
2 months ago
Read 2 more answers
Other questions:
  • Upon impact, bicycle helmets compress, thus lowering the potentially dangerous acceleration experienced by the head. A new kind
    14·1 answer
  • Water is made of two hydrogen atoms and one oxygen atom bonded together. Julia is describing how water undergoes a physical chan
    15·2 answers
  • a fixed mass of a n ideal gas is heated from 50 to 80C at a constant pressure at 1 atm and again at a constant pressure of 3 atm
    7·1 answer
  • In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means that the gas expands with no add
    6·1 answer
  • Calculate the average time it took the car to travel 0.25 and 0.50 meters with three washers attached to the pulley. Record the
    10·3 answers
  • If a woman weighs 125 lb, her mass expressed in kilograms is x kg, where x is
    9·2 answers
  • Driving down a quiet street on a summer day with the car windows down, you see a convertible approaching from the opposite direc
    12·1 answer
  • John is going to use a rope to pull his sister Laura across the ground in a sled through the snow. He is pulling horizontally wi
    13·1 answer
  • An object has kinetic energy of 324 J. If it’s speed is 9m/s, what is it’s mass?
    7·2 answers
  • Two astronauts on opposite ends of a spaceship are comparing lunches. One has an apple, the other has an orange. They decide to
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!