1answer.
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
Pani-rosa [81]
3 years ago
9

A ball is kicked at an angle of 35° with the ground.a) What should be the initial velocity of the ball so that it hits a target

that is 30 meters away at a height of 1.8 meters?b) What is the time for the ball to reach the target?
Physics
1 answer:
stiks02 [169]3 years ago
7 0

Answer:

a.18.5 m/s

b.1.98 s

Explanation:

We are given that

\theta=35^{\circ}

a.Let v_0 be the initial velocity of the ball.

Distance,x=30 m

Height,h=1.8 m

v_x=v_0cos\theta=v_0cos35

v_y=v_0sin\theta=v_0sin35

x=v_0cos\theta\times t=v_0cos35\times t

t=\frac{30}{v_0cos35}

h=v_yt-\frac{1}{2}gt^2

Substitute the values

1.8=v_0sin35\frac{30}{v_0cos35}-\frac{1}{2}(9.8)(\frac{30}{v_0cso35})^2

1.8=30tan35-\frac{6574.6}{v^2_0}

\frac{6574.6}{v^2_0}=21-1.8=19.2

v^2_0=\frac{6574.6}{19.2}

v_0=\sqrt{\frac{6574.6}{19.2}}=18.5 m/s

Initial velocity of the ball=18.5 m/s

b.Substitute the value then we get

t=\frac{30}{18.5cos35}

t=1.98 s

Hence, the time for the ball to reach the target=1.98 s

You might be interested in
The gravitational force between the Sun (mass = 1.99 × 1030 kg) and Mercury (mass = 3.30 × 1023 kg) is 8.99 × 1021 N. How far is
Vlad [161]

Mercury is 35.98 million miles from the Sun.

4 0
3 years ago
Read 2 more answers
The 300 m diameter Arecibo radio telescope is observing the Andromeda galaxy at a wavelength of 29 cm. show answer No Attempt 50
jekas [21]

Answer:

The angle between two just-resolvable stars for the Arecibo telescope is 1.179x10^{-3}rad.

Explanation:

The resulting image in a telescope obtained from an object is a diffraction pattern.

That diffraction pattern is obtained because the light encounters different obstacles on its path inside the telescope (interact with the walls and edges of the instrument).

The diffraction pattern is composed by a central disk, called Airy disk, and diffraction rings.    

 

The angular resolution is defined as the minimal separation at which two sources can be resolved one for another, or in other words, when the distance between the two diffraction patterns maxima is greater than the radius of the Airy disk.

The angular resolution can be determined in an analytical way by means of the Rayleigh criterion.          

\theta = 1.22\frac{\lambda}{D}   (1)

Where \lambda is the wavelength and D is the diameter of the telescope.

Notice that it is necessary to express the wavelength in the same units than the diameter.

\lambda = 29cm \cdot \frac{1m}{100cm} ⇒ 0.29m

Finally, equation 1 can be used.

\theta = 1.22(\frac{0.29m}{300m})

\theta = 1.179x10^{-3}rad              

Hence, the angle between two just-resolvable stars for the Arecibo telescope is 1.179x10^{-3}rad    

3 0
3 years ago
As a laudably skeptical physics student, you want to test Coulomb's law. For this purpose, you set up a measurement in which a p
Irina-Kira [14]

Answer:

The magnitude of each force is 2.45 x 10⁻¹⁶ N

Explanation:

The charge of proton, +q = 1.603 x 10⁻¹⁹ C

The charge of electron, -q = 1.603 x 10⁻¹⁹ C

Distance between the two charges, r = 971 nm = 971 x 10⁻⁹ m

Apply Coulomb's law;

F = \frac{kq_1q_2}{r^2}

where;

k is Coulomb's constant = 8.99 x 10⁹ Nm²/C²

q₁ and q₂ are the charges of proton and electron respectively

F is the magnitude of force between them

Substitute in the given values and solve for F

F = \frac{(8.99*10^9)(1.603*10^{-19})^2}{(971*10^{-9})^2} \\\\F = 2.45*10^{-16} \ N

Therefore, the magnitude of each force is 2.45 x 10⁻¹⁶ N

4 0
2 years ago
Why does air near the equator rise
Vesnalui [34]
Because it’s warmer and more humid
8 0
3 years ago
In an ideal pulley system, a woman lifts a 100-n crate by pulling a rope downward with a force of 25 n. for every one-meter leng
kvv77 [185]
<span>We can use conservation of energy to solve this question. The woman increases the potential energy of the box by applying her force over a certain distance. The work that the woman does is force * distance. The work the woman does is 25 N * 1 meters = 25 Joules. 25 Joules is the increase in potential energy of the box. 100 * distance of the box = 25 distance of the box = 0.25 meters Therefore, for every one meter the woman pulls downward, the box rises a distance of 0.25 meters.</span>
5 0
3 years ago
Other questions:
  • 5. How will you separate water from petrol?
    9·2 answers
  • Flying against the wind, a jet travels 4640 in 8 hours. flying with the wind, the same jet travels 9000 in 9 hours. what is the
    12·1 answer
  • Multiply the following numbers, using scientific notation and the correct amount of significant digits. 1.003 m⋅3.09 =
    15·2 answers
  • Moving a magnet inside of a coil of wire will induce a voltage in the coil. How is the voltage in the coil increased?
    9·1 answer
  • A net force of +15 N changes the momentum of an object by +100 kg-m/s. What is the time over which the force is applied? (please
    15·1 answer
  • Which oftthe following is the least reliable source of background information for a scientific project? General internet site, g
    15·1 answer
  • A tree is fixed relative to Earth a tree is blank relative to the Sun
    5·1 answer
  • A car starts at 25 m/s and then slows down at 13 m/s in 5 seconds. What is the acceleration of the car? What does the accelerati
    13·1 answer
  • PLEASE HELP! I'LL GIVE BRAINLEST​
    9·1 answer
  • URGENT PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST !!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!