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
Anna [14]
3 years ago
15

A 35 g steel ball is held by a ceiling-mounted electromagnet 3.8 m above the floor. A compressed-air cannon sits on the floor, 4

.8 m to one side of the point directly under the ball. When a button is pressed, the ball drops and, simultaneously, the cannon fires a 25 g plastic ball. The two balls collide 1.4 m above the floor. What was the launch speed of the plastic ball?
Physics
1 answer:
n200080 [17]3 years ago
3 0

Answer:

Explanation:

Let v is the launch speed of the plastic ball and the angle of projection is θ.

So, in horizontal direction

v Cosθ x t = 4.8 .... (1)

In th evertical direction

1.4 = v Sin θ x t - 0.5 gt²     .... (2)

As , v Sin θ x t = 3.8      .... (3) , put in equation (2)

1.4 = 3.8 - 4.9 t²

t = 0.7 s

Put in (1) and (3)

v Cosθ x 0.7  = 4.8

v Cosθ = 6.86

and v Sinθ x 0.7 = 3.8

v Sinθ = 5.43

Now

v^{2}\left ( Sin^{2}\theta +Cos^{2}\theta  \right )=5.43^{2}+6.86^{2}

v = 8.75 m/s

You might be interested in
A ball is rolled of a 2.14m table at 8m/s. Find the time of flight for the ball and the horizontal range
Mama L [17]

Answer:

0.661 s, 5.29 m

Explanation:

In the y direction:

Δy = 2.14 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

(2.14 m) = (0 m/s) t + ½ (9.8 m/s²) t²

t = 0.661 s

In the x direction:

v₀ = 8 m/s

a = 0 m/s²

t = 0.661 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (8 m/s) (0.661 s) + ½ (0 m/s²) (0.661 s)²

Δx = 5.29 m

Round as needed.

3 0
3 years ago
A hot air balloon is hovering in the air when it drops a 40 Kg food package to some lost golfers. If the package is dropped from
UNO [17]
We can calculate this with the law of conservation of energy. Here we have a food package with a mass m=40 kg, that is in the height h=500 m and all of it's energy is potential. When it is dropped, it's potential energy gets converted into kinetic energy. So we can say that its kinetic and potential energy are equal, because we are neglecting air resistance:

Ek=Ep, where Ek=(1/2)*m*v² and Ep=m*g*h, where m is the mass of the body, g=9.81 m/s² and h is the height of the body.

(1/2)*m*v²=m*g*h, masses cancel out and we get:

(1/2)*v²=g*h, and we multiply by 2 both sides of the equation

v²=2*g*h, and we take the square root to get v:

v=√(2*g*h)

v=99.04 m/s

So the package is moving with the speed of v= 99.04 m/s when it hits the ground. 
5 0
3 years ago
Accelerations are produced by equal forces or unequal forces?
sukhopar [10]

Answer: unequal forces

Explanation: in order for something to accelerate it must speed up or slow down .  When unequal forces react it casuse a change in motion which is also know as acceleration .

5 0
3 years ago
Are forces of attraction among the particles in all mater? true or false.
Luden [163]

Answer:

the answer is true

Explanation:

3 0
3 years ago
Read 2 more answers
Jake drops a book out of a window from a height of 10 meters. At what velocity does the book hit the ground?
user100 [1]
G = 9.81 m/sec^2)     g = 9.81\frac{meters}{ second^{2} }

<span>Solving for velocity : </span>

velocity^{2}<span> = 2gh </span>
<span>v = </span>2gh^{ \frac{1}{2} }
<span>v = (2 x 9.81 x 10)^1/2 </span>
<span>v = 196.2 m/sec (answer)</span>
8 0
3 years ago
Other questions:
  • Samantha is viewing a real image formed by a lens of a diamond ring. Which must be true about the image?
    15·2 answers
  • How can magnet pick wooden fish
    11·2 answers
  • HELP ME PLEASE!
    6·1 answer
  • Technician A says that a proper U-joint inspection can be done with the driveshaft in place on the vehicle. Technician B says th
    11·1 answer
  • A large fake cookie sliding on a horizontal surface is attached to one end of a horizontal spring with spring constant k = 375 N
    14·1 answer
  • Can someone pls help me with this it’s due in a couple of minutes pls I would really appreciate it I will make u brainliest.
    9·1 answer
  • A stone tumbles into a mine shaft strikes bottom after falling for 3.8 seconds. How deep is the mine shaft
    11·1 answer
  • The scale on the horizontal line axis is 5s per division on the vertical axis 9 m per division
    11·1 answer
  • A wave is produced in a rope. The wave has a speed of 33 m/s and a frequency of 22 Hz. What wavelength is produced? 0. 67 m 0. 7
    13·1 answer
  • If you were rolling a toy car down an incline, what would happen if you made the incline steeper? Explain why this happens using
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!