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# Mass (kg) Force (N) 10 10 20 20 50 100 50 100 Acceleration (m/s2) 5 10 2.5 5 Lab 4--Part a1) Use Excel to determine the acceleration for an object

Mass (kg) Force (N) 10 50 5 10 100 10 20 50 2.5 20 100 5 Acceleration (m/s 2 ) Lab 4--Part a1) Use Excel to determine the acceleration for an object with mass 'm' being pulled by a constant, horizontal force (F) on a flat, frictionless surface. i) What happens to the acceleration if the magnitude of the force doubles? The acceleration is propotion to the net force. A = F / M if the magnitude of the force doubles, the magnitude of the acceleration also doubles. It remains in the same direction as the net force. ii) What happens to the acceleration if the mass of the object doubles? There is an inverse relationship between mass and acceleration. A=F / M If the mass of the object doubles, the acceleration is halved. iii) What happens to the acceleration if both the mass and the force are doubled? If both the mass and the force are doubled, the acceleration remains the same. A= 2F / 2m A = F / m Input: mass and force Output: acceleration
Mass (kg) Angle (degrees) f_s(max) f_k Accelerating or Stationary? 4 0 0.2 0.5 4 5 0.2 0.5 4 10 0.2 0.5 4 15 0.2 0.5 4 20 0.2 0.5 4 25 0.2 0.5 4 26 0.2 0.5 4 27 0.2 0.5 4 28 0.2 0.5 4 29 0.2 0.5 4 30 0.2 0.5 4 35 0.2 0.5 4 40 0.2 0.5 4 45 0.2 0.5 4 50 0.2 0.5 10 50 0.2 0.5 4 90 0.2 0.5 μ k μ s F_Wsin( θ ) Acceleration (m/s 2 ) Lab 4--Part a2) Use Excel to determine the acceleration for an object with mass 'm' sliding down a surface inclined at an angle θ (between 0 and 90 degrees) above the horizontal. The surface has a coefficient of kinetic friction μk and a coefficient of static friction μs. Note 1: Within the calculation, before taking sine or cosine, the angle must be converted to radians. Use the built in function 'RADIANS' for this purpose Note 2: the coefficient of static friction must be overcome in order for the object to start sliding. Therefore, you must determine if the force pulling the object down the incline is greater than the force of static friction. If it is, the acceleration can be determined. Otherwise, the object will remain stationary and the acceleration reading will be erroenous. Use the built in function 'IF' for this purpose. If the object is accelerating, have the IF command output "Accelerating". If the object is not accelearting, have the IF command output "Stationary". Once it has been determined that the object is accelerating, determine the magnitude of the acceleration. Create a scatter chart of acceleration versus angle of incline for angles from 0 to 50 degrees. i) Does the mass of the object affect the acceleration? Explain. ii) What happens when θ=90 degrees? Is the acceleration affected by the coefficients of friction? Input: m, θ, μk, μs Output: Accelerating or Stationary?, magnitude of the acceleration 0 10 20 30 40 50 60 0 2 4 6 8 10 12 acceleration versus angle of incline Column H angle (degrees) acceleration (m/s^2)
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Mass (kg) Velocity (m/s) Force (N) Time to come to rest (s) stopping distance (m) Acceleration (m/s 2 ) Lab 4--Part b1) An object with a mass 'm' is moving with an initial speed 'v'and is acted on by a single force ‘F’ in the opposite direction of its motion. Use Excel to determine how long it will take the object to come to rest and how far the object travels until it stops. . i) If the mass is doubled, what is the effect on the time?, on the stopping distance? ii) If the initial velocity is doubled, what is the effect on the time?, on the stopping distance iii) If the force is doubled, what is the effect on the time?, on the stopping distance? input: mass, initial velocity, force output: acceleration, time to come to rest, stopping distance
Mass (kg) 20000 50000 100000 time (s) v(m/s) x(m) y(m) d (m) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 F x (N) F y (N) a x (m/s 2 ) a y (m/s 2 ) v x (m/s) v y (m/s) Lab 4--Part b2) A rocket ship, with mass m=20,000kg, and engines mounted perpendicularly in the x and y directions, fires both rockets simultaneously. The engine oriented in the x-direction fires for 3s and shuts off. The engine oriented in the y-direction fires for 7s and shuts off. The force from the engine in the x-direction is 50,000N and the force from the engine in the y-direction is 100,000N. Make a scatter plot of the y-position of each particle as a function of the x-position, showing the trajectory of the rocket. Use Excel to determine the following: i) While the engines are firing, what is the acceleration of the rocket in the x and y directions? ii) After 7s, what is the velocity of the rocket in the x and y directions? iii) After 7s, what is the speed of the rocket? iv) After 7s, how far has the rocket travelled in the x-direction? How far has it travelled in the y- direction?, After 10 s? v) After 7s, what is the displacement of the rocket? After 10 s? Is the displacement of the rocket the same as the distance travelled? Explain. vi) If the mass of the rocket is doubled, what happens to the displacement? Output: ax, ay, vx, vy, x, y, d 0 2 4 6 8 10 12 0 2 4 6 8 10 12 Rocket Trajectory x y

Mass (kg) Velocity (m/s) Force (N) Acceleration (m/s2) Time to come to rest (s) stopping distance (m) Lab 4--Part b1)
An object with a mass 'm' is moving with an initial speed 'v'and is acted on by...

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