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
dmitriy555 [2]
3 years ago
8

A hot-air balloon is ascending at the rate of 10 m/s and is 74 m above the ground when a package is dropped over the side. (a) H

ow long does the package take to reach the ground? (b) With what speed does it hit the ground?
Physics
1 answer:
Reika [66]3 years ago
4 0

Answer:

The answer to your question is:

a)  t1 = 2.99 s ≈ 3 s

b)  vf = 39.43 m/s

Explanation:

Data

vo = 10 m/s

h = 74 m

g = 9.81 m/s

t = ?   time to reach the ground

vf = ?   final speed

a)    h = vot + (1/2)gt²

     74 = 10t + (1/2)9.81t²

     4.9t² + 10t -74 = 0                  solve by using quadratic formula

   

   t = (-b ± √ (b² -4ac) / 2a

   t = (-10 ± √ (10² -4(4.9(-74) / 2(4.9)

   t = (-10 ± √ 1550.4 ) / 9.81

  t1 = (-10 + √ 1550.4 ) / 9.81               t2 = (-10 - √ 1550.4 ) / 9.81

  t1 = (-10 ± 39.38 ) / 9.81                    t2 = (-10 - 39.38) / 9.81

   t1 = 2.99 s ≈ 3 s                               t2 = is negative then is wrong there are

                                                                   no negative times.

b) Formula vf = vo + gt

                  vf = 10 + (9.81)(3)

                  vf = 10 + 29.43

                  vf = 39.43 m/s

You might be interested in
How did the horizontal velocity vector component change during the flight of the cannonball in the simulation
arlik [135]

Answer:

<em>The horizontal velocity vector of the canonball does not change at all, but is constant throughout the flight.</em>

Explanation:

First, I'll assume this is a projectile simulation, since no simulation is shown here. That been the case, in a projectile flight, there is only a vertical component force (gravity) acting on the body, and no horizontal component force on the body. The effect of this on the canonball is that the vertical velocity component on the canonball goes from maximum to zero at a deceleration of 9.81 m/s^2, in the first half of the flight. And then zero to maximum at an acceleration of 9.81 m/s^2 for the second half of the flight before hitting the ground. <em>Since there is no force acting on the horizontal velocity vector of the canonball, there will be no acceleration or deceleration of the horizontal velocity component of the canonball. This means that the horizontal velocity component of the canonball is constant throughout the flight</em>

7 0
4 years ago
Suppose a pulley with an IMA of 2 was used with an input force of 50 N to lift a box 45 cm that weighs 100 N. What distance was
IRINA_888 [86]
The ideal mechanical advantage (IMA) is the number of times in which the input force is multiplied under ideal conditions. If the real force was only 50N, the distance at which the rope was pulled will be twice the distance given in this item. The answer is 90 cm. 
6 0
4 years ago
The luxury liner Queen Elizabeth 2 has a diesel-electric powerplant with a maximum power of 84 MW at a cruising speed of 35.0 kn
frosja888 [35]

Answer:

F = 4669.201\,kN

Explanation:

Maximum speed is get at maximum power. Let assume that ship travels at constant speed, the expression for power is equal to:

\dot W = F\cdot v

Where F and v are the forward force and speed of ship measured in newtons and meters per second, respectively.

The forward force can be determined by clearing it in the expression described above:

F = \frac{\dot W}{v}

F = \frac{84\times 10^{3}\,kW}{(35\,knots)\cdot \left(\frac{0.514\,\frac{m}{s} }{1\,knot} \right)}

F = 4669.201\,kN

4 0
3 years ago
Read 2 more answers
Lighting McQueen goes from rest to 30 m/s in 3.0 seconds. What is his<br> acceleration ?
alisha [4.7K]

Answer:

10 meters per seconds or 10m/s

Explanation:

6 0
3 years ago
Debby and Ben took different routes to travel from Point A to Point E. Debby took the route along A, B, C, D, and E. Ben took th
svetlana [45]

Answer:

Ben's average speed was twice Debby's average speed.

Explanation:

Ben covered a total distance of 16 miles (10+4+2) and Debby covered 8 miles (3+2+2+1) which is half of what Ben covered. As they both reached the place in the same amount of time it tells us Ben was faster.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Water exits a garden hose at a speed of 1.2 m/s. If the end of the garden hose is 1.5 cm in diameter and you want to make the wa
    9·1 answer
  • A gas has an initial volume of 212 cm3 at a temperature of 293 K and a pressure of 0.98 atm. What is the final pressure of the g
    14·2 answers
  • Type here<br>How can you stop a glass from making a sound?<br>Type here​
    12·2 answers
  • What is projectile motion caused by?
    15·2 answers
  • Which force is opposite gravity?
    6·2 answers
  • If the mass of an object increases, predict what will happen to the coefficient of sliding friction.
    11·2 answers
  • A large region of gas and dust that may contain as many as one million solar masses is called a _____.
    11·2 answers
  • why is it important to create pictorial and physical models before trying to solve an equation, solving a physics problem
    14·2 answers
  • Reed, Riley, Ean, and Michael want to run a race against each other. They start on the 20 yard line of the football field and fi
    9·1 answer
  • Akia is balancing the equation Na + H2O NaOH + H2. He tries to find the coefficients that will balance the equation. How could h
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!