# Help this problem is driving me crazy

1. Mar 16, 2005

### panpanthepirate

a plane flying horizontally at 500 m/s releases a package at an altitude of 2000 meters. how long will the package take to reach ground? how far will the package travel horizontally while falling?

2. Mar 16, 2005

### mohlam12

here is a hint: you have to know that the time that it is gonna take for the package to go horizontally is the same to go vertically... also, when the package is going horixontally, there is no gravity....

3. Mar 16, 2005

### xanthym

{Horizontal Distance} = d = vx0*t = (500 m/sec)*t
{Vertical Height} = h = h0 + vy0*t - (1/2)*g*t2 =
= (2000 meters) + (0)*t - (1/2)*(9.81 m/sec2)*t2 =
= (2000) - (4.91)*t2

The package will continue falling until it hits ground at time "t" given by:
h = 0 = (2000) - (4.91)*t2
::: ⇒ t2 = (2000)/(4.91) = (407.3)
::: ⇒ t = (20.2 sec)

The horizontal distance "d" traveled during this time t=(20.2 sec) is thus given by:
d = (500 m/sec)*t = (500 m/sec)*(20.2 sec)
d = (10100 meters)

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Last edited: Mar 16, 2005
4. Mar 16, 2005

### panpanthepirate

thanks all for your help, i got another problem that says a box having a weight of 490 newtons is dragged across the floor by means of a rope that makes an angle 30 degrees with the floor, the coeffecient of sliding friction is .300. find the force that must be applied to the rope to provid uniform velocity after the starting friction has been overcome.

5. Mar 17, 2005

### HallsofIvy

Staff Emeritus
1. Find the friction force: coefficient of friction times weight

2. To slide with uniform velocity, the horizontal force must equal that

3. The force applied to the rope is along the hypotenuse of a right triangle having the horizontal force as a leg- use trigonometry.

6. Mar 17, 2005

### EUROPE1

Come on, write mathematical formulas:

$$t = \sqrt{\frac{2h}{g}}$$

$$D = v_xt = v\sqrt{\frac{2h}{g}}$$