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
Darya [45]
4 years ago
13

With what minimum speed must you toss a 200 g ball straight up to just touch the 15-m-high roof of the gymnasium if you release

the ball 1.6 m above the ground? solve this problem using energy.
Physics
1 answer:
victus00 [196]4 years ago
4 0
Total energy before the toss:
E_1 = \frac{1}{2} mv_1^2 + mgh_1

Total energy at the roof:
 E_2 = \frac{1}{2} mv_2^2 + mgh_2

Energy must be conserved so :
E_1 = E_2 \\ \\ \frac{1}{2} mv_1^2 + mgh_1 = \frac{1}{2} mv_2^2 + mgh_2 \\ \\ \frac{1}{2} m (v_1^2 - v_2^2) = mg(h_2 - h_1) \\ \\ \frac{1}{2} (v_1^2 - v_2^2) = g(h_2 - h_1) \\ \\ v_1^2 - v_2^2 = 2g(h_2 - h_1)

If v₁ is the initial velocity and v₂ is the final velocity, which is zero at the roof:
v_1^2 = 2g(h_2 - h_1) \\  \\ v_1 =  \sqrt{2g(h_2 - h_1)}

v_1 =  \sqrt{(2)(9.81 \frac{m}{s^2} )(15m - 1.6m)} = 16,2  \frac{m}{s}

You might be interested in
What happens to energy and frequency of a wave if its wavelength increases?
Dahasolnce [82]

Answer:

Waves can be measured using wavelength and frequency. ... The distance from one crest to the next is called a wavelength (λ). The number of complete wavelengths in a given unit of time is called frequency (f). As a wavelength increases in size, its frequency and energy (E) decrease.

7 0
3 years ago
6. The momentum of a 30.0 g bird with a speed of 12 m.s-1 is 0.36 kg.m.s-1. What will be its momentum 12s later if a constant .0
Keith_Richards [23]

Answer:

Explanation:

initial momentum = .36 kg.m.s⁻¹

negative impulse = force x time = .02 x 12 = .24 kg.m.s⁻¹

final momentum - initial momentum = impulse

final momentum = initial momentum + impulse

= .36 - .24

= .12 kg.m.s⁻¹

7 0
3 years ago
A piece of driftwood moves up and down as water waves pass beneath it. However, it does not move toward the shore with the waves
pantera1 [17]

Answer:

It's A

Explanation:

As the waves progress through the medium, the particles they are made of move perpendicular to the direction in which the waves move. The particles do not move with the wave. So waves transmit energy but not matter as they progress through a medium.

6 0
3 years ago
According to newton's first law, what is required to make an object slow down?
Luden [163]
I believe it is friction

3 0
3 years ago
Read 2 more answers
"What kind of electromagnetic radiation can be detected by a human body? I) visible light II) infrared light III) ultra-violet l
Vinvika [58]

Answer:

7. I and III only.

Explanation:

Only portions of the electromagnetic spectrum is visible to the human eye. Electromagnetic radiation in this range of wavelengths is called visible light which have wavelengths from about 390 to 750 nm that is; ultraviolet light and visible light.

4 0
3 years ago
Other questions:
  • What is the great red spot? what is the great red spot? a long-lived, high-pressure storm on jupiter a place where reddish parti
    8·1 answer
  • The gravitational force exerted by the Sun on the Earth is __________ the gravitational force exerted by the Earth on the Sun.
    11·2 answers
  • The number of protons in a neutral atom equals the number of
    12·1 answer
  • To determine a waves frequency you must know the??
    12·2 answers
  • When is orange is the new black episodes come out
    9·1 answer
  • The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 − e−0.2t). After how many seconds is the velocity 65
    11·1 answer
  • Solar winds have an influence all the way to about 160 AU from the Sun. About how many kilometers is that? 24,000,000,000 km 48,
    7·2 answers
  • The following picture shows some give reasons. Please answer it and I will mark you as brainliest......
    8·2 answers
  • Glaciers around the world have been _____. A. shrinking B. increasing in size C. increasing in density D. decreasing in density
    15·1 answer
  • Difference between load and effort​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!