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
Ratling [72]
3 years ago
8

A pair of glasses is dropped from the top of a 42.0 meter high stadium. A pen is dropped from the same position 2.00 seconds lat

er. How high above the ground is the pen when the glasses hit the ground? (Disregard air resistance. a = - g = - 9.81 m/s ^2)
Physics
1 answer:
ki77a [65]3 years ago
7 0

Given that,

For glasses:

distance, s = 42 m

a= -g = -9.81 m/s²

we can calculate time taken by glasses to hit the ground as follow:

s= Vi* t + 1/2 at²

Since at top initial velocity, Vi= 0

42 = 0 - 0.5* 9.81 t²

t = 2.926 s

Pen is drop 2 second after the glasses is dropped. So time difference will be:

Δt = 2.926 - 2 = 0.926 s

Distance covered by Pen in 0.926 s can be calculated as:

s = 0 - 0.5* 9.81 * 0.926²

s= 4.2 m

Distance of pen from ground will be, 42-4.2 = 37.8 m

When the glasses hit the ground, the pen will be 37.8 m above the ground.

You might be interested in
An object is dropped from a height of 75.0 m above ground level. (a) Determine the distance traveled during the first second. (b
lys-0071 [83]

Answer:

a)Distance traveled during the first second = 4.905 m.

b)Final velocity at which the object hits the ground = 38.36 m/s

c)Distance traveled during the last second of motion before hitting the ground = 33.45 m

Explanation:

a) We have equation of motion

             S = ut + 0.5at²

     Here u = 0, and a = g

              S = 0.5gt²

    Distance traveled during the first second ( t =1 )

              S = 0.5 x 9.81 x 1² = 4.905 m

   Distance traveled during the first second = 4.905 m.

b)  We have equation of motion

            v² = u² + 2as

      Here u = 0, s= 75 m and a = g

           v² = 0² + 2 x g x 75 = 150 x 9.81

           v = 38.36 m/s

      Final velocity at which the object hits the ground = 38.36 m/s

c) We have S = 0.5gt²

                   75 = 0.5 x 9.81 x t²

                    t = 3.91 s

   We need to find distance traveled last second

   That is

          S = 0.5 x 9.81 x 3.91² - 0.5 x 9.81 x 2.91² = 33.45 m

   Distance traveled during the last second of motion before hitting the ground = 33.45 m

       

3 0
3 years ago
An ice chest at a beach party contains 12 cans of soda at 4.05 °C. Each can of soda has a mass of 0.35 kg and a specific heat ca
BARSIC [14]
Below is the solution:

Heat soda=heat melon 
<span>m1*cp1*(t-t1)=m2*cp2*(t2-t); cp2=cpwater </span>
<span>12*0.35*3800*(t-5)=6.5*4200*(27-t) </span>
<span>15960(t-5)=27300(27-t) </span>
<span>15960t-136500=737100-27300t </span>
<span>43260t=873600 </span>
<span>t=873600/43260 </span>
<span>t=20.19 deg celcius</span>
4 0
3 years ago
In 0.60 seconds, a projectile goes from 0 to 610 m/s. What is the acceleration of the projectile?
IceJOKER [234]

Answer: a=1016.66 m/s^{2}

Explanation:

Acceleration a is expressed in the following formula:

a=\frac{V_{f}-V_{o}}{t}

Where:

V_{f}=610 m/s is the final velocity of the projectile

V_{o}=0 m/s  is the initial velocity of the projectile

t=0.6 s is the time

Solving:

a=\frac{610 m/s-0 m/s}{0.6 s}

a=1016.66 m/s^{2} This is the acceleration of the projectile

6 0
3 years ago
Yea, gonna need some help. Thanks
natulia [17]

Answer:

t = 3.48 s

Explanation:

The time for the maximum height can be calculated by taking the derivative of height function with respect to time and making it equal to zero:

h(t) = -16t^2+v_ot+h_o\\\\\frac{dh(t)}{dt}=0=-32t+v_o\\\\v_o = 32t

where,

v₀ = initial speed = 110 ft/s

Therefore,

110 = 32t\\\\t = \frac{110}{32}\\\\

<u>t = 3.48 s</u>

8 0
2 years ago
From what does oil form?
Akimi4 [234]
C dinosaurs. Once they break down and get pressurized they turn to oil
6 0
3 years ago
Other questions:
  • A crane performs 1820 J of work by lifting an object 35 meters. How much force did the crane exert?
    8·1 answer
  • An earthquake emits both S-waves and P-waves which travel at different speeds through the Earth. A P-wave travels at 9000 m/s an
    9·1 answer
  • A wave has frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?
    9·1 answer
  • What type of system uses a liquid to transmit a force
    13·1 answer
  • The materials carried by the circulatory system include which of the following? (1) blood, (2) hormones, (3) oxygen, (4) cellula
    9·2 answers
  • The diagram below illustrates the law of reflection.
    15·1 answer
  • Two conducting spheres are mounted on insulating rods. They both carry some initial electric charge, and are far from any other
    5·1 answer
  • A 2 kg toy car moves at a speed of 5 m/s.<br> What is the kinetic energy of the car?
    8·1 answer
  • Bio is a root word that means<br> O heart.<br> O life.<br> O cell.<br> O sugar.
    8·2 answers
  • A vertical piston-cylinder device initially contains 0.1 m^3 of air at 400 K and 100 kPa. At this initial condition, the piston
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!