Answer Check for kinematic in 2-d

  • Thread starter Filenes
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    Kinematic
In summary, the customer in a local bar slides an empty beer mug down the counter, which then slides off and strikes the floor 1.10 m from the base of the counter. The mug left the counter with a velocity of 2.68 m/s, and the direction of its velocity just before hitting the floor was found to be 45 degrees below the horizontal axis. However, the impact angle was later calculated to be -315 degrees.
  • #1
Filenes
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Homework Statement



In a local bar, a customer slides an empty beer mug down 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 1.10 m from the base of the counter. The height of the counter is 0.820 m.
(a) With what velocity did the mug leave the counter?
correct check mark m/s
(b) What was the direction of the mug's velocity just before it hit the floor?
wrong check mark
Your answer differs from the correct answer by 10% to 100%.° (below the horizontal)

Homework Equations


I found (a) which is 2.68 m/s


The Attempt at a Solution



For b) i used sqrt(2.68^2+2.68^) = 3.79 and did,
theta = cos^-1(2.68/3.79) which is 45 degrees, which is wrong but since it say below the horizontal axis, will it be -315 degree?
 
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  • #2
Filenes said:

Homework Statement



In a local bar, a customer slides an empty beer mug down 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 1.10 m from the base of the counter. The height of the counter is 0.820 m.
(a) With what velocity did the mug leave the counter?
correct check mark m/s
(b) What was the direction of the mug's velocity just before it hit the floor?
wrong check mark
Your answer differs from the correct answer by 10% to 100%.° (below the horizontal)

Homework Equations


I found (a) which is 2.68 m/s


The Attempt at a Solution



For b) i used sqrt(2.68^2+2.68^) = 3.79 and did,
theta = cos^-1(2.68/3.79) which is 45 degrees, which is wrong but since it say below the horizontal axis, will it be -315 degree?

I got the same for part a but I got something different for the impact angle.

the impact creates a triangle with x velocity and y velocity at impact. x velocity is constant at 2.68 m/s and I get 4.01 m/s for y velocity. Just finish it and you should get the right answer.
 
  • #3
thanks alot.. now i got to figure out why is the y velocity different .. thanks!
 

FAQ: Answer Check for kinematic in 2-d

What is kinematics in 2-d?

Kinematics in 2-d refers to the study of motion in two dimensions, typically in the x and y directions. It involves analyzing the position, velocity, and acceleration of an object in a two-dimensional space.

How do you solve kinematic problems in 2-d?

To solve kinematic problems in 2-d, you need to use equations of motion such as displacement, velocity, and acceleration in the x and y directions. These equations can be derived from basic calculus and can be used to determine the motion of an object in two dimensions.

What are the key concepts of kinematics in 2-d?

The key concepts of kinematics in 2-d include position, displacement, velocity, acceleration, and time. These concepts are used to describe and analyze the motion of objects in two-dimensional space.

What is the importance of kinematics in 2-d in science?

Kinematics in 2-d is important in science because it helps us understand the motion of objects in real-world scenarios. It is used in various fields such as physics, engineering, and astronomy to study and predict the motion of objects in two-dimensional space.

How can I check my answers for kinematic problems in 2-d?

You can check your answers for kinematic problems in 2-d by using the appropriate equations and plugging in the given values. You can also use graphing techniques or check your solution with a calculator to ensure accuracy.

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