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# Acceleration

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 © BrainMass Inc. brainmass.com February 22, 2020, 5:02 am ad1c9bdddf

## Categories within Acceleration

### Acceleration-Time Graphs

Solutions: 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

### Calculating What the Acceleration of the System Will Be

In a setup if the mass (M) of the glider is 300 grams and the small mass (m) is 27 grams (the two masses are connected by the string), calculate what the acceleration of the system will be when the small mass is free to fall with no friction in the system? include units.

### Uniform acceleration motion

Time (s) Position (m) 40.40 8.000 41.40 13.050 42.00 21.000 An object is moving in a straight line with a constant acceleration,its position is measured at three different times, as shown in the table below. Calculate the magnitude of the acceleration at t=41.40 s

### Applying Newton's Law for a wagon (M) attached by string with hanging mass (m) through frictionless pulley.

See the attachment for a diagram and the data in a chart before answering the following problem. The mass of the wagon (M) and the hanging mass (m) are in kilograms. The total mass of the system is Mt, the sum of M and m. The acceleration of gravity (g) is 9.8 m/s2 . The acceleration of the system (a) varies, depending upo

### 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

### Coordinate system to find the acceleration

5.) A solid cylinder of radius b, mass m, rolls down an incline of angle ß. Use a coordinate system attached to the lower end of the incline and find the acceleration of the cylinder along the plane.

### Velocity Calculation

A tennis player hits a ball at ground level, giving it an initial velocity of 24 m/s at 57o above the horizontal. a. Sketch a y vs. x graph. b. What are the horizontal and vertical components of the ball's velocity? c. How high above the ground does the ball go? d. How long does it take the ball to reach its maximum height

### Classical Mechanics: Major league Pitcher Problem

A major-league pitcher can throw a baseball in excess of 41.0 m/s. Assume the pitcher throws the ball horizontally to a catcher who is 17.0 m away. a) Sketch a y vs. x graph. b) How long does it take for the ball to reach the catcher? c) How far does the ball drop by the time it reaches the catcher?

### Kathy Kool and Stan Speedy

A young woman named Kathy Kool buys a sports car that can accelerate at the rate of 4.90 m/s2. She decides to test the car by drag racing with another speedster, Stan Speedy. Both start from rest, but experienced Stan leaves the starting line 1.00 s before Kathy. If Stan moves with a constant acceleration of 3.50 m/s2 and Kathy

### Physics of a Rock

A rock is thrown vertically upward with a speed of 12.0 m/s from the roof of a building that is 60.0 m above the ground. Please help me with the following tasks. a. Sketch a position vs. time graph. b. Sketch a velocity vs. time graph. c. In how many seconds after being thrown does the rock strike the ground? d. What is th

### Kinematics: Acceleration on the Moon

A moon rock is thrown upward with an initial velocity of 5.0m/s. After 5.0s it has a downward velocity of 3.0m/s a) What is the acceleration due to gravity on the Moon? b) How high above the starting point did the rock go before it began to fall? c) How high would the same rock rise above the earth's surface if it is thrown

### car strikes the tree

The driver of a car slams on the breaks when he sees a tree 52m away blocking the road. The SUV slowed down at a constant rate of 4.0m/s^2 for 3.6s before reaching the tree. a) What is the initial speed? b) At what speed does it strike the tree?

### 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. a.free body diagram b. Determ

### Calculating Acceleration, Net Force, and Contact Force

Three boxes are in contact with each other on a frictionless horizontal surface as shown. The masses of the boxes are ml = 10 kg, m2 = 20 kg, and m3 = 30 kg. A horizontal force F = 90 N is applied to ml. Calculate. a. The acceleration of the three boxes. b. The net force on each box. c. The contact forces between the boxes.

### Car and Train Race: Speed and Acceleration

A 108 m long train starts from rest (at t = 0) and accelerates uniformly. At the same time (at t = 0), a car moving with constant speed in the same direction reaches the back end of the train. At t = 12 s the car reaches the front of the train. However, the train continues to speed up and pulls ahead of the car. At t = 32 s, the

### Kinematics: Velocity and Force

A car has a mass of 900 kg. It accelerates from rest at a rate of 1.2 m/s^2. a) Calculate the time taken to reach a velocity of 30m/s. b) Calculate the force required to accelerate the car at a rate of 1.2 m/s^2

### Speed and Spring Constant

1. You are swinging a tin can around your head in a perfectly horizontal circle of radius 4 m. (This is really not possible but we're saying it almost happens.) If the speed of the can is 4 m/s what is its acceleration? 2. You thoughtfully set a 1 kg box on top of a loaf of bread and the loaf compresses by 15 cm. Thinking of

### find rotational, tangential and centripetal acceleration

A bug is on the rim of a disk of diameter 11 in. that moves from rest to an angular speed of 76 rev/min in 5.3 seconds. A. What is the tangential acceleration? Answer in units of m/s^2 B. What is the tangential velocity of the bug at the end of the 5.3 seconds? Answer in units of m/s C. One second after the bug starts fro

### 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

### What is the Force Applied to the Ball By the Rod?

A cylindrical beaker of height 0.100m and negligible weight is filled to the brim with a fluid of density = 890kg/m^3 . When the beaker is placed on a scale, its weight is measured to be 1.00N. A ball of density = 5000kg/m^3 and volume = 60.0cm^3 is then submerged in the fluid, so that some of the fluid spills over the side

### Calculate to acceleration of two string segments

Three masses are connected as shown in the attached figure. The masses of mA, mB, and mC are 2.00 kg, 4.00 kg and 6.00 kg respectively. Mass A experiences a frictional force of 10N, and mass B experiences a frictional force of 15.0N. Assuming the string rides without friction over the rod at the table's edge, calculate the accel

### 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

### Solving Physics Problems

The radius of the Earth is R. At what distance above the Earth's surface will the acceleration of gravity be 4.9 m/s2 ? [Hint: Compute the distance, as a multiple of R, at which the acceleration due to gravity is half its surface value. Then subtract 1 from that value (because the problem asks "above the Earth's surface" ...

### Force

A student pulls a box of books on a smooth horizontal floor with a force of 100 N in a direction 37.0 degrees above the horizontal. If the mass of the box and the books is 40.0 kg, what is the acceleration of the box? Please provide detailed explanation.