1) A quantity z is defined as z = x2.y, with x = (8.23 +/- 0.22) and y = (4.56 +
ID: 1395409 • Letter: 1
Question
1) A quantity z is defined as z = x2.y, with x = (8.23 +/- 0.22) and y = (4.56 +/- 0.12), calculate z and its uncertainty.
2) In a projectile motion experiment, the launcher is mounted horizontally at a height of 125 cm above the floor level. A sphere is shot out of the launcher and lands a horizontal distance of 176 cm away on the floor.
With the launcher mounted vertically, how high above the launch point would the sphere reach?
3) In a projectile motion experiment, the launcher is mounted horizontally at a height of 125 cm above the floor level. A sphere is shot out of the launcher and lands a horizontal distance of 176 cm away on the floor.
What is the muzzle velocity?
4) Consider the data tabulated below. What is the experimental error if the theoretical value of the measured parameter is 1.00?
1.01, 1.02, 0.93, 0.91, 1.11, 0.98, 1.08, 0.95, 1.09
5) In a two dimensional collision experiment two 100-g spheres undergo glancing angle collision. Sphere 1 is shot with a speed of 4 m/s at an identical sphere which is stationary. Assume that Ball 1 was travelling along the x-axis before collision. After collision, Ball 1 travels at 50 degrees to one side of the x-axis and Ball 2 travels at 35 degrees to the other side of the x-axis. Assuming an elastic collision; what are the momenta of the system before and after collision?
6) In a two dimensional collision experiment two 100-g spheres undergo glancing angle collision. Sphere 1 is shot with a speed of 4 m/s at an identical sphere which is stationary. Assume that Ball 1 was travelling along the x-axis before collision. After collision, Ball 1 travels at 50 degrees to one side of the x-axis and Ball 2 travels at 35 degrees to the other side of the x-axis. Assuming an elastic collision; what are the momenta of the system before and after collision?
7) A uniform ruler of 1-m length is supported using a knife-edge clamp at 20-cm mark. The ruler is balanced by hanging a 320-g weight at 5-cm mark along the ruler. What is the mass of the ruler?
8) In an experiment to measure g, you measure the time taken for a cart, starting from rest, on a frictionless slope to travel along the slope. The data is tabulated below as (distance in centimeters , time in seconds). What is the acceleration of the cart?
(100, 3.4) (110, 3.6) (120, 3.8) (130, 3.9) (140, 4.1) (150, 4.2) (160, 4.3) (170, 4.5) (180, 4.6) (190, 4.7) (200, 4.8)
9) An Atwood system which has two masses, m1 = 2 kg and m2 = 2.1 kg.
What is the work done on this system if m1 moves up from y =0 to y = 0.5 m?
10) An Atwood system which has two masses, m1 = 2 kg and m2 = 2.1 kg.
What is the work done on this system if m1 moves up from y =0 to y = 0.5 m?
What is the change in the kinetic energy of the system when m1 moves up from y = 0.5 m to y = 1.0 m?
Explanation / Answer
2) Let t is the time taken.
Apply, h = voy*t + 0.5*g*t^2
h = 0.5*g*t^2
t = sqrt(2*h/g)
= sqrt(2*1.25/9.8)
= 0.505 s
speed of sphere, vo = x/t
= 1.76/0.505
= 3.48 m/s
if it is projected vertically, H = vo^2/(2*g)
= 3.48^2/(2*9.8)
= 0.62 m or 62 cm <<<<<---------Answer
3) muzzle velocity, vo = 3.48 m/s <<<<<---------Answer
7) Apply net torque = 0
0.15*0.32*9.8 - 0.3*m*9.8 = 0
m = 0.15*0.32/0.3
= 0.16 kg or 160 grams <<<<<---------Answer
9) net workdone = (m2-m1)*g*delta y
= (2.1-2)*9.8*0.5
= 0.49 J <<<<<---------Answer
10) change in kinetic enrgy = workdone
= 0.49 J <<<<<---------Answer
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