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Acceleration is the rate at which the velocity of a body changes with time. Like velocity, acceleration is a vector quantity, with magnitude and direction. Although often times only magnitude is considered. Newton’s Second Law describes the acceleration as being accompanied by a force; the force being the vector and is a product of the mass of the object being accelerated and the acceleration. In SI units, acceleration is measured in meter per second squared (m/s2). Acceleration can be calculated by rearranging the equations of kinematics. Acceleration is the derivative of velocity as seen in the following equation: a= dv/dt Constant acceleration is a type of motion in which the velocity of an object changes by an equal amount in an everyday time period. Equations of acceleration for circular motion are different than equations of acceleration in a straight line. These equations are as followed: a= v^2/r a= -ω^2 r Where ω is the angular velocity and r is the vector directed from the center of the circle and equal to the radius. The tangential acceleration, which is directed at right angles to the radius vector, can affect the acceleration. This angular acceleration denoted by α in the following equation: a=rα

Categories within Acceleration

Acceleration-Time Graphs

Postings: 5

A graph of acceleration and time with time on the x-axis and acceleration on the y-axis.

Mechanics: Static Friction, acceleration and circular motion

1.1 Acceleration a. The intent of the problem is to determine the maximum acceleration of the train in which a box lying on its floor would remain stationary. Assume the coefficient of static friction between the block and the train's floor to be 0.15. See Fig.1 1.2 Static Friction a. See Fig. 2 in the attached document wh

Centripetal acceleration and velocity

A. What is the relationship between the radius and the velocity of a rotating object? B. What is the relationship between the velocity of a rotating object and the centripetal force exerted on it? C. The Moon orbits Earth at a distance of about 3.84 × 10^8 m in a path that takes 27.3 days to complete. What is the c

Applied Physics: Newton's Laws and Kinetics

1. State and explain Newton's Three Laws of motion, giving examples from daily life. 2. A 1500 kg car is accelerating at a constant rate. In two seconds, its velocity goes from 10 to 30 km/hr. What is the total force acting on the car, in N? 3. An astronaut in his space suit has a total mass of 300 kg. His weight on the aster

Acceleration, Displacement, and Velocity

1. A car rounds a 1.20 km radius circular track at 89 km/h Find the magnitude of the car's average acceleration after it has completed one-fourth of the circle. Express your answer to two significant figures and include the appropriate units. 2. You walk 1260 m east and then 860 m south in a total time of 25 min . A. Com

Displacement, Velocity, and Acceleration

We will use the falling-ball simulation (Background: University of Oregon, n.d.) to calculate the acceleration of gravity on the Earth, Moon, and Mars. The most general equation for displacement is: s = s0 + V0t + (1/2)at2 Where: s = displacement after time t s0 = initial displacement (location at t = 0) V0 = initia

Applied Physics: Displacement, Velocity and Acceleration

Work out the following problems. Be sure to show your work in detail. 1. A car is driving along a straight section of highway between Oklahoma City and Tulsa. At one point in time, the car is 50 miles from Tulsa. At a later point in time, it's 40 miles from Tulsa. What is its displacement? 2. An ant is placed on a piece

Physics Questions: Speed, Force, Acceleration, Velocity.

1. A jet flying at 236.9 km/hr travels between two cities in 1.3 hour(s). A turboprop flying the same route takes 5.2 hours. What is the speed of the turboprop? 2. A 9.0 kg block is free to slide on a frictionless horizontal surface. A force of 4.6 N is applied to the block at an angle of parallel to the horizontal. Find the

Distance vs Time Graph, Velocity, and Acceleration Graphings

Please see the attached document for the required information needed. Graph the two slopes from the distance vs. time graph. Be sure to label and scale the axes. Acceleration What is the change in velocity from 1 second to 5 seconds? How much time did it take to change that velocity? Use factors and tables to find t

Three objects are connected on an inclined table

Three objects are connected on an inclined table as shown in the diagram below. The objects have masses 8.0 kg, 4.0 kg and 2.0 kg as shown, and the pulleys are frictionless. The tabletop is rough, with a coefficient of kinetic friction of 0.47, and makes an angle of 20.0° with the horizontal. body diagram b. Determ

Electrostatics: Charges induced on spherical conductors

Attached Figure: Two concentric spherical shells with a point charge q at the center. A total charge of Qin=+20 ?C is placed on the inner shell and a total charge of Qout=-25 ?C is placed on the outer shell. When electrostatic equilibirum is reached, it is found that a charge of Qin,out=+15 ?C forms on the outer section of t

Finding the required acceleration for airplane takeoff

To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the take-off, the take-off velocity, depends on several factors including the weight of the aircraft and the wind velocity. A plane accelerates at rest at a constant rate of 5 m/s2 on a runway that is 1800m long. The time n

Falling Rod on Smooth Floor

We have a uniform rod of length 2l balanced vertically on the floor, and then allowed to fall. I need the angular velocity and angular acceleration when the rod makes an angle (theta) WITH THE VERTICAL. In this situation, the floor is smooth and slipping occurs. I need to solve this using both the conservation law AND equations

Force F for Accelerating

see attachment please 14) A force F acts to the right on a 5.32 kg block. A 2.44 kg block is stacked on top of the 5.32 kg block and can slide on it with a coefficient of friction of 0.11 between the blocks. The table has a coefficient of friction of 0.19. The acceleration of gravity is 9.8 m/s2. The acceleration of gr

Physics: Density, Vectors, Speed, Acceleration, Velocity

See attached file for proper formatting. 1.7. Which of the following equations are dimensionally correct? (a) vf = vi + ax (b) y = (2 m)cos(kx), where k = 2 m-1. 1.26. The radius of a solid sphere is measured to be (6.50 ± 0.20) cm, and its mass is measured to be (1.85 ± 0.02) kg. Determine the density of the sphere i

Questions regarding a workman's toolbox

A workman carries a sheet of metal up to the roof of a skyscraper by transporting it in the building's elevator. Inside the elevator, the metal sits at an angle of 26o from the horizontal. The workman absentmindedly places his toolbox on the smooth metal surface, and it begins to slide with negligible friction. a. Draw a free

Velocity and Vector Problems

Professional archer Rob N. Hood shoots an arrow at an angle from the top of a 90.0-meter-high cliff. The arrow has an initial speed of 62.0 m/s. a. If the initial horizontal velocity is 28.0 m/s, what angle (in degrees above the horizontal) did the arrow have when it was shot? b. How much time does the arrow spend in the ai

Applied force of 6 Newtons acts in the direction of motion

An applied force of 6 Newtons acts in the direction of motion of a block of mass 9 Kg, with the mass being pulled across the floor against a frictional force of .6 Newtons. Assume that the block moved the distance 'y' in this process. * What is the net force on the object? * How much work does the net force do on the object

Analysis of a bullet undergoing constant acceleration

A gun fires a bullet of mass 22 grams out of a barrel 36 cm long. The gun is attached to a spring. From the recoil of the spring and the masses of the gun and the spring we determine that the gun recoiled with a total momentum of 4.7 kg m/s. - With what velocity did the bullet exit the barrel? - Assuming that the bullet

Five kinematic problems

(Please see attached file for figures) 1. You are driving down the highway late one night at 20m/s when a deer steps onto the road 35m in front of you. Your reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration of your car is 10m/s^2. How much distance is between you and the deer when you come to

Examination of the coulombs forces on charged beads

The acclerations of two charged beads one a charged plastic bead of mass 2.4g, charge -3.0 nC the other a glass bead of mass 4.5g charge 18.5 nC separated a centre to centre distance of 2.3 cm are determined

Physics: Acceleration problems

14. An automobile traveling on a straight, level road at 14 m/s speeds up to 25 m/s in 30 seconds. What was the magnitude of the auto's acceleration? 15. Two opposite forces of 6.0 N and 4.0 N act on a 2.0 kg object. What is its acceleration? 16. An automobile with a mass of 100 kg is moving north on a level highway with a

Acceleration, mass, force, constant speed, velocity, magnitude

A net force of 135N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0ms^2. What is the mass of the object? A 3.0kg and a 5.0kg box rest side-by-side on a smooth, level floor. A horizontal force of 32N is applied to the 5.0kg pushing it against the 3.0kg box, and, as a result, bot

Force exerted on a baseball by a bat

The force exerted on a 0.140 kg baseball by a bat changes from 0.0 N to 1.0 X 10^4 N over 0.0010 s, then drops back to zero in the same amount of time. The baseball was going toward the bat at 23 m/s. (a) Draw a graph of force versus time. What is the average force exerted on the ball by the bat? (b) What is the accelerati

Lifting a Boulder from a quarry with constant acceleration

A 730-kg boulder is raised from a quarry 123 m deep by a long uniform chain having a mass of 560 kg . This chain is of uniform strength, but at any point it can support a maximum tension no greater than 3.00 times its weight without breaking. A) What is the maximum acceleration the boulder can have and still get out of the qu

Particle Gravity and Centripetal Acceleration on Blood & a Car

Please see the attachment for questions along with mentioned drawings. 7. The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are mA = 363 kg, mB = 517 kg, and mC =154 kg. Find the magnitude and direction of the net gravitational force acting on each

Kinematics: 8 practice problems

1. A car traveling at a constant speed of 30 m/s passes a police car at rest. The policeman starts to move at the moment the speeder passes his car and accelerates at a constant rate of 3.0 m/s2 until he pulls even with the speeding care. Find a) the time required for the policeman to catch the speeder and b) the distance trave

Weight in an elevator

The weight of a book was measured using a scale. The scale showed 15N. Next, the book and the scale were placed in an elevator that does not show the floor number. When the elevator started moving, the reading of the scale has changed, but later was reading 15N again. Using the fact that the scale shows the same value in the ele

Acceleration Test Data

According to recent test data, an automobile travels 0.250 miles in 19.9 seconds , starting from rest. The same car, when braking from 60.0 mi/h on dry pavement, stops in 146 ft. Assume constant acceleration in each part of the motion, but not necessarily the same acceleration when slowing down as when speeding up. 1) what