We used a vernier caliper to obtain the diameter of those two and therefore, the radius. When adding all the numbers together, we found that the true radius(r) of the orbit was 0.139 m. To find our tension, we needed to find out how much weight we needed to pull the object towards away from the spring and on the tip of the pointer as shown below. The tension needed to pull the mass on the tip of the pointer 1.05 kg. In theory the force of acceleration needed to pull the mass to same exact spot should equal the force of tension multiplied by the force due to gravity. Using Newton’s second law, F=ma, we know that the
The difference between Lack of consideration and failure of consideration is failure of consideration means there was a contract that failed for some reason. Lack of consideration there was not a contract to begin with. Rule The Court of Appeals, Orme, J., held that agreement was not enforceable contract. It was making a promise for past services for being nice. One cannot make a contract for past services.
Gravitational acceleration was found using this formula: g=2ht2 Impact speed of the falling objects was found using this formula: v=2ht Percentage error between calculated values and those obtained from the slope of the graphs were found using this formula: percent error=calculated value-slopecalculated value x100% PROCEDURE Firstly we placed the falling sphere apparatus on the table. Then we placed the meter scale next to the falling sphere
TOPIC 8 Chi-Square goodness-of-fit test Problem 12.1 Use a chi-square goodness-of-fit to determine whether the observed frequencies are distributed the same as the expected frequencies (α = .05) Category | fo | fe | 1 | 53 | 68 | 2 | 37 | 42 | 3 | 32 | 33 | 4 | 28 | 22 | 5 | 18 | 10 | 6 | 15 | 8 | Step 1 Ho: The observed frequencies are distributed the same as the expected frequencies Ha: The observed frequencies are not distributed the same as the expected frequencies Step 2 df = k – m – 1 Step 3 α = 0.05 x 2 0.05, 5df = 11.0705 Step 4 Reject Ho if x 2 > 11.0705 Category | fo | fe | | 1 | 53 | 68 | | 2 | 37 | 42 | | 3 | 32 | 33 | | 4 | 28 | 22 | | 5 | 18 | 10 | | 6 | 15 | 8
Didion’s thoughts on how grief approaches us shows that grief just comes out of the ordinary, and when it comes it does not compliment our anticipations nor does it inform us that it is approaching. Gilbert’s supporting ideas on imagination elaborate on Didion’s perspective on expectation and reveals that we must be prepared for the worst, and since we can not predict future outcomes we should “practice” accepting and rejecting the outcomes we believe will occur. Didion states “Grief, when it comes, is nothing we expect it to be (Didion 10).” Didion explains, that what we expect is nothing compared to what actually happens. We can’t necessarily predict the Sheikh 2 outcome of a certain event, such as grief. As Didion explains, our expectations don’t always match up to what grief has to offer, Gilbert’s supporting claims relate to Didion’s feelings on expectations.
Displace the masses to cause oscillation 5. Measure the time taken for 10 oscillations, therefore get the time for 1 oscillation Set up the experiment as shown below: Results: length | Time | Ball size | 138.5 | 2.48 | S | 45.8 | 1.39 | S | 39.2 | 1.19 | S | 32.5 | 1.2 | M | 42.8 | 1.25 | M | 36.5 | 1.18 | M | 33.4 | 1.15 | M | 26.4 | 0.94 | L | 19.2 | 0.8 | L | 12 | 0.63 | L | Analysis: The graph of pendulum is shown on the page enclosed. The graph of the time taken for 1 oscillation and length of pendulum is a linear graph. The above table shows that time period of a pendulum varies with the length of the pendulum.The time taken for 1 oscillation is calculated by dividing the time for 10 oscillations. Question discussion: Why did we time 10 oscillations of the pendulum?
The direction of acceleration is the same as the direction of the net force. The acceleration of the body is also directly proportional to the net force but inversely proportional to its mass. Newton defined momentum P as the product of mass and velocity. The change in momentum, symbolized by ∆P, is brought about by the impulse acting on the body, F_net ∆t=∆P As ∆t approaches zero, the instantaneous rate of change of momentum is, F_net=lim┬(∆t→0)〖∆P/∆t〗=dP/dt=(d(mv))/dt Since for most object, mass is constant, F_net=m dv/dt Newton’s second law of motion is mathematically expressed as F_net=ma From Newton’s second law T=m_1 a The hanging mass m_1 is also accelerating with the same acceleration due to the net force m_2 a on it. m_2 a=m_2 g-T T=m_2 g-m_2 a Equating the tensions m_1 a=m_2 g-m_2 a m_1 a+m_2 a=m_2 g (m_1+m_2 )a=m_2 g a=(m_2 g)/(m_1+m_2 ) The acceleration is the same acceleration described in the kinematics equation a=2s/t^2 For a body starting from rest, s is the distance traveled by the cart and t is the time of travel.
Because the length of a pendulum L, and the square of the period of the pendulum T2 are directly proportional, we were able to determine g by calculating the slope of the T2 vs L graph. From our calculations, this value turned out to be 10.3m/s2, while the accepted value for the acceleration is 9.8m/s2. Percentage Difference = 10.3−9.8 9.8 = 5.10 % There are a few reasons for the small error in our estimation: 1. There was some uncertainty in measuring the length of the pendulum L.
Newton’s Second Law and the Work-Kinetic Energy Theorem October 13, 2010 Abstract This experiment utilizes an air track first as an inclined plane with the slider accelerating due to gravity and second as a level surface with the slider accelerating due to the pull of an attached free-falling object of known mass. In both cases, the Work performed is calculated based on formulas for mechanical work and for kinetic energy. The two results are compared. The first part yielded an average acceleration of 0.715 m/s2 (a 1.58% error) and the average result for the Work performed was 0.0204 N*m with only a 0.9% difference. The second part suffered critical errors due to improper data and the results are not significant or useful.
Pressure in a given system is governed by the following equation: P = ρgh = γh (Eq. 1) where ρ is density, g is the gravitational acceleration constant, P is the