Physics Homework: Calculate Velocity & Direction of Beer Mug

In summary, the problem involves a beer mug sliding off a counter and hitting the floor. Using the given gravitational force and the height of the counter, the velocity of the mug leaving the counter can be calculated to be 3.34 m/s at 0°. To determine the direction of the mug's velocity just before hitting the floor, the time it takes for the mug to fall from the counter must be calculated using the vertical distance formula. The velocity in the Y-direction at impact can then be calculated and used to determine the angle of rotation using the tan function. The final answer is 309°.
  • #1
justsomebody
13
0

Homework Statement


Assume gravitational force is 9.8 ms^-2

In a local bar, a customer slides an empty beer mug on the counter for a refill.
The bartender is momentarily distracted and does not see the mug, which
slides off the counter and strikes the floor 1.4 m from the base of the counter.
If the height of the counter is 0.86 m,

(a) with what velocity did the mug leave the counter, and
(b) what was the direction of the mug’s velocity just before it hit floor?

2. The attempt at a solution

Don't really understand the question at all =d can any1 help =D

Ans (a) 3.34 m/s at 0° (b) 309°
 
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  • #2
justsomebody said:

Homework Statement


Assume gravitational force is 9.8 ms^-2

In a local bar, a customer slides an empty beer mug on the counter for a refill.
The bartender is momentarily distracted and does not see the mug, which
slides off the counter and strikes the floor 1.4 m from the base of the counter.
If the height of the counter is 0.86 m,

(a) with what velocity did the mug leave the counter, and
(b) what was the direction of the mug’s velocity just before it hit floor?

2. The attempt at a solution

Don't really understand the question at all =d can any1 help =D

Ans (a) 3.34 m/s at 0° (b) 309°

Try determining the time that it takes for an object to fall from .86m.
 
  • #3
the first thing u should do when doing a problem like this is split it up into a problem in the x (horizontal)direction, and one in the y (vertical)direction. Try to view it as two separate problems but with one common factor that will always stay the same between the two problems. Split up different distances, acceleration, and different velocities and other relevant information. Once done with that you might have some more insight on how the problem is handled.
 
  • #4
lol thanks for the all help appreciate it =D i got the answer i guess
=> s = ut + 1/2at^2 ( vertical distance )
=> u = 0, sqrt(2s/a) = t
=> t = 0.41893938

=> s = 1/2(u+v)t ( horizontal distance )
=> 1.4 = 1/2(u + v) t where v = u
=> 1.4/t = 1/2 * 2u
=> u = 3.341772263
 
Last edited:
  • #5
the next part really stumps me =o
how do you calculate rotation angle
does it have something to do with projectile motion thing
ill go try out
 
  • #6
justsomebody said:
the next part really stumps me =o
how do you calculate rotation angle
does it have something to do with projectile motion thing
ill go try out

You know the velocity of the glass in the X-direction. If you can determine the velocity in the Y-direction at impact, you can determine the angle.
 
  • #7
Borg said:
You know the velocity of the glass in the X-direction. If you can determine the velocity in the Y-direction at impact, you can determine the angle.

is the velocity in Y-direction
=> v^2 = u^2 + 2as
=> v = sqrt(2as)
=> v = sqrt(2*9.8*0.86)
=> v = 4.105605924
=> v = 4.11m/s

how do u find the angle =o

i can only think of tan(teetle) = vertical v / horizontal v which is wrong
nvm i forgot to do 360-teetle lol =D
thanks everyone for helping me to solve this question =D
 

1. What is the formula for calculating velocity?

The formula for calculating velocity is velocity = distance / time.

2. How do I determine the direction of the beer mug?

The direction of the beer mug is determined by the angle at which it is moving. This can be calculated using trigonometry, specifically the tangent function.

3. What units should I use for velocity?

The standard units for velocity are meters per second (m/s). However, you can also use other units such as miles per hour (mph) or kilometers per hour (km/h) as long as you are consistent in your calculations.

4. How can I use physics to calculate the velocity of the beer mug?

To calculate the velocity of the beer mug, you will need to know the distance the mug traveled and the time it took to travel that distance. Using the formula velocity = distance / time, you can plug in the known values and solve for velocity.

5. Can I calculate the velocity of the beer mug if I only have its mass and initial velocity?

Yes, you can calculate the velocity of the beer mug if you have its mass and initial velocity. This would require using the formula for momentum, momentum = mass x velocity, and rearranging it to solve for velocity.

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