A mass attached to a spring oscillates with a period of 3.15 s.
(a) If the mass starts from rest at x = 0.0480 m and
time t = 0, where is it at time t = 6.97 s?
m?
(b) Is the mass moving in the positive or negative x direction at t = 6.97 s?
positive x direction?
negative x direction?
In: Physics
A 0.51 kg mass at the end of a spring vibrates 10 times per
second with an amplitude of 0.14 m.
Find:
1. Velocity when it passes the equilibrium point
2. The Velocity when it is 0.09 meters from equilibrium
3. The Total Energy of The System
4. The following equation describing the motion of the mass, assuming that at t = 0, x was a maximum.
______m cos[ (_______ rad/s )t ]
In: Physics
You are given a vector in the xy plane that has a magnitude of 86.0 units and a y component of -55.0 units.
a.)What are the two possibilities for its x component?
b.)Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the ?x direction.
c.)Specify the direction of the vector.
In: Physics
An object with mass m = 0.6 kg is dropped from the top of the building and falls 21 m down in front of the cafe.
1.1 Calculate the speed of the object as it hits the ground and calculate the time for the fall. Neglect in this question the air resistance.
In a more accurate calculation we need to take air resistance into account. In a wind tunnel the air resistance of the object has been measured giving rise to an acceleration of: aair = 0.03v2 where v is the speed of the object.
1.2 Now, taking air resistance into account, find the speed of the object as it hits the ground. Any integrals in your calculation should be calculated by hand!
1.3 Calculate the time of the fall when air resistance is taken into account. (You are allowed to use calculator to calculate occurring integrals when answering this question!)
In: Physics
In your own words, describe Charles’s Law. Express Charles’s Law as a mathematical equation. Which variable must be held constant for Charles’s Law to work?
In your own words, describe Gay-Lussac’s Law. Express Gay-Lussac’s Law as a mathematical equation. Which variable must be held constant for Gay-Lussac’s Law to work?
In: Physics
know the mathematical relationship between surface area and volume, and explain how surface to area volume affects heat loss. Which can be smaller endotherms or ectotherms
In: Physics
At what speed does a 1900 kg compact car have the same kinetic energy as a 2.00×104 kg truck going 24.0 km/hr ?
Express your answer with the appropriate units.
In: Physics
A toy cannon uses a spring to project a 5.38-g soft rubber ball. The spring is originally compressed by 4.91 cm and has a force constant of 8.08 N/m. When the cannon is fired, the ball moves 15.6 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 6 N on the ball.
(a) With what speed does the projectile leave the barrel of the
cannon? m/s
(b) At what point does the ball have maximum speed? cm (from its
original position)
(c) What is this maximum speed? m/s
In: Physics
Sketch position of Moon several times in a single night(can draw a horizontal sketch)
In: Physics
This problem has been solved!
Your supervisors at A&L Engineering have tasked you with evaluating the durability of three common materials used in the design of cell phone cases. For each material type, you have been asked to determine the force of impact of a phone dropped from a set height above the ground. Using the mass of each case and the collision time, determine the force of impact on each case material and determine which case material offers the most protection.
To facilitate your analysis, you have been provided with specifications for case materials in the table below. However, you may also use your own figures for the mass of phones and test case materials. If you do use a different figure, be sure to make that clear in your analysis. As you use this data, ensure that you have made the necessary SI unit conversions:
Test MaterialMassCollision TimePhone Only (No Case)6.2 oz.0.01 secondsSilicone1.7 oz.0.05 secondsHard Plastic1.1 oz.0.03 secondsRubber3.2 oz.0.08 seconds
Directions
To complete your evaluation of various materials for
cell phone cases, you must create a case material evaluation report
that describes the motion and impact forces of several phone case
materials under evaluation.
Once you have described the relevant laws of motion, create force diagrams to model the motion for a phone dropped from a set height. You should include diagrams, with their respective force vectors, for each phone drop. In your diagrams, address the following:
Define the height you will be using for each phone
drop. As the researcher, you will choose a drop height of between 1
and 2 meters.
Using the provided mass of 6.2 oz, or by measuring the
mass of a personal cell phone, determine the mass you will be using
for your calculations. Remember to add the mass of the case
material.
In your diagram, show the direction and name of each
force on the cell phone both at the drop point and at the point of
collision with the ground.
Following the creation of the force diagram, use the information provided in your case specification document to calculate the velocity before impact and deceleration at impact. Remember that deceleration is represented as negative acceleration in force equations. In your calculations, assume a standard free-fall acceleration during the fall, and a velocity of 0 m/s after the impact. You should include calculations for the following scenarios:
A phone without a case
A phone with a silicone case
A phone with a hard plastic case
A phone with a rubber case
Using Newton’s second law, calculate the force
of impact for each scenario.
After you have completed your calculations, describe how force equations model the given scenario. In your description, address the following elements:
Velocity before impact
Acceleration
Force
Finally, using data from your analysis, recommend the best material for a cell phone case. In your recommendations, address the following elements:
Which of the trials results in the lowest force of
impact on the phone?
What considerations, in physics or otherwise, might
you have in recommending a material for a cell phone
case?
In: Physics
Can a person, in principle, travel from Earth to the galactic center (which is about 2.30
In: Physics
It is always a good idea to understand the "size" of units. The objects listed below are resting on a hard surface. Categorize each object according to the pressure it exerts on the surface when placed on their side with the largest area, which is the bottom. Assume that the bottom of each object is flat and that the pressure refers to that above atmospheric pressure (that is, gauge pressure). Use common sense estimates, make your own measurements and/or do a little research to determine the relevant dimensions and weights of the objects.
Determine the Pressure of a
brick
sheet of paper
textbook
penny
can of soup
In: Physics
Is the following equation dimensionally correct?
v= sqrt(pH/PE)
v= feet per second
p = grams per cubic cm
H = height in feet
PE = joules
In: Physics
Discuss Fermi theory of Beta Decay in detail?
and what do you mean by nuclear isomerism in Nuclear Physics?
In: Physics