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
puteri [66]
3 years ago
13

You toss a rock of mass mm vertically upward. Air resistance can be neglected. The rock reaches a maximum height hh above your h

and. What is the speed of the rock when it is at height h/4h/4?
Physics
2 answers:
Andrew [12]3 years ago
8 0

Answer:

3.83\sqrt{h} m/s

Explanation:

We are given that

Mass of rock=m

We have to find the speed of the rock when it is at height h/4

When the rock reaches at maximum height then speed,v=0

Let u be the initial velocity of rock=u

We know that

v^2-u^2=-2gh

0-u^2=-2gh

-u^2=-2gh

u^2=2gh

When h=h/4

v'^2-u^2=-2g\times \frac{h}{4}=-\frac{gh}{2}

v'^2-2gh=-\frac{gh}{2}

v'^2=2gh-\frac{gh}{2}=\frac{4gh-gh}{2}=\frac{3gh}{2}

v'=\sqrt{\frac{3gh}{2}}

Substituteg=9.8m/s^2

v'=\sqrt{\frac{3\times 9.8h}{2}}=3.83\sqrt h m/s

skad [1K]3 years ago
3 0

Answer:

The speed of the rock when it is at height h/4 is \dfrac{\sqrt{3gh} }{2}.

Explanation:

At maximum height the final velocity of the rock is equal to 0. Let u is the initial velocity of the rock. Using the conservation of energy to find it as :

u^2=2gh.......(1)

We need to find the speed of the rock when it is at height h/4. Let v' is the speed. Using 3rd equation of motion as :

v'^2=u^2+2as

here a = -g and s = h/4

v'^2=u^2-2g\times \dfrac{h}{4}

Using equation (1) :

v'^2=(2gh)-2g\times \dfrac{h}{4}\\\\v'^2=\dfrac{3gh}{4}\\\\v'=\dfrac{\sqrt{3gh} }{2}

So, the speed of the rock when it is at height h/4 is \dfrac{\sqrt{3gh} }{2}. Hence, this is the required solution.

You might be interested in
A 8.0 cm-diameter horizontal pipe gradually narrows to 4.5 cm. When water flows through this pipe at a certain rate, the gauge p
Fed [463]

Answer:

7.11x10^-3

Explanation:

We are to get the volume rate of flows

1/2pv1² + pl = 1/2pv2²

Such that A1V1 = A2V2

V1 = A2V2/A1

From the attachment I uploaded, we have a formula named equation 1 from which I have plugged in these values

P2 = 33000

P2 = 24000

P = 1000

r2 = 2.25

r1 = 4

When we put these values into the equation,

V2 = 4.47

A2V2 = pi(0.0225)²x4.47

= 7.7x19^-3m³/s

6 0
3 years ago
Two obiect accumulated a charge of
tamaranim1 [39]

Answer:

A. 181.24 N

Explanation:

The magnitude of hte electrostatic force between two charged objects is given by the equation

F=k\frac{q_1 q_2}{r^2}

where

k is the Coulomb's constant

q1, q2 are the magnitudes of the two charges

r is the separation between the charges

In this problem, we have:

q_1=4.5\mu C=4.5\cdot 10^{-6}C is the magnitude of the 1st charge

q_2=2.8\mu C=2.8\cdot 10^{-6}C is the magnitude of the 2nd charge

r = 2.5 cm = 0.025 m is the separation between the charges

Therefore, the magnitude of the electric force is:

F=\frac{(9\cdot 10^9)(4.5\cdot 10^{-6})(2.8\cdot 10^{-6})}{(0.025)^2}=181.44 N

So, the closest answer is

A) 181.24 N

3 0
3 years ago
A person kicks a ball, giving it an initial velocity of 20.0 m/s up a wooden ramp. When the ball reaches the top, it becomes air
Bess [88]

Answer:

Explanation:

given,

initial velocity of the ball = 20 m/s

angle of ramp = 22°

ball travel at a distance  = 5 m

a) for friction less  

  \dfrac{1}{2}mv^2 = \dfrac{1}{2}mu^2 - mgh

             v^2 = u^2 - 2gh

             v = \sqrt{u^2- 2 g h cos 22^0}

             v = \sqrt{20^2- 2\times 9.8 \times 5 cos 22^0 }

                    v = 17.58 m/s

b) considering the friction

  \dfrac{1}{2}mv^2 = \dfrac{1}{2}mu^2 - mgh-\mu_kmgl

             v^2 = u^2 - 2gh-2\mu_kmgl

             v = \sqrt{u^2- 2 g h cos 22^0-2\mu_kgl}

             v = \sqrt{20^2- 2\times 9.8 \times 5 cos 22^0-2\times 0.15\times 9.8 \times 5 }

                   v = 17.16 m/s

7 0
3 years ago
What may thermal energy stores also be called?<br><br> PLEASE REALLY NEED THE HELP!
ollegr [7]

Answer:

The thermal energy is the sum of the potential energy and kinetic energy that is known to make all the particle in an object it is the energy that is responsible for its temperature heat is the flow of thermal energy thermal energy is the result of something that has some internal temperature which can be measured

3 0
3 years ago
. Friction is a rubbing force that ___________ a spinning yo-yo.
Advocard [28]
The yo-yo speeds up when you rub it
3 0
3 years ago
Read 2 more answers
Other questions:
  • The convergence of two continental plates would produce
    11·1 answer
  • Which product is typically made using soft wood
    11·2 answers
  • Which statement accurately describes a balanced force?
    11·1 answer
  • Convergent faults _____.
    15·1 answer
  • Why do sugars molecules stay intact when dissolved by water?
    14·1 answer
  • Many adventures like to go rafting on the Colorado River through Grand Canyon National Park. There are many locations where the
    9·1 answer
  • Two 0.60-kilogram objects are connected by a thread that passes over a light, frictionless pulley. The objects are initially hel
    9·1 answer
  • Jada was roller skating at 8 m/s with a total mass of 30 kg. Korbin gently pushed her and she increased her speed to 11 m/s. Fin
    5·1 answer
  • Why should I care about children in Haiti that are being targeted by Haitian gangs?
    10·1 answer
  • 4. A lamp in a circuit has 4 Amps of current. If there is 32 12 of resistance
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!