UNIFORM ACCELERATION Physics concept A cart on an incline experiences a gravitat
ID: 2077579 • Letter: U
Question
UNIFORM ACCELERATION Physics concept A cart on an incline experiences a gravitational force mg that acts straight down as the sketch indicates. The force sin vector can be separated into two components, one parallel and one perpendicular to the incline. We are interested in the component parallel to the incine, mg sine, since this is the force that is responsible for the acceleration a of the cart, m a mg sine. In this equation the mass m of the cart occurs on both sides of the equal sign, and therefore does not affect the value of the acceleration. The goal of this experiment is to measure e and a, and to use eq.1 with the masses cancelled (a g sine to find an experimental value for the acceleration due to gravity, g. The accepted value is g one way to find the acceleration is to just measure the acceleration of the cart as it rolls down the plane. We can then equation to find sino ing just the down motions of the cart, the friction of the cart is large enough to throw find a better ex off the value of g. we perimental method for finding g using the same the answer is yes if we measure the of the cart as two well as down the described in the we can combine the accelerations by averaging them and (hopefully) reduce the effects of friction.
Explanation / Answer
The uncertainity in Mass of the bob is given by,
M = 170.8+/-0.1 g
Here, 0.1 is the absolute uncertainity.
Relative uncertainity =0.1/170.8 = 0.000585 = 0.058%
So, Mbob = 170.8+/-0.000585 g
Now, uncertainity in radius of bob is given by,
for ruler, r = 16.4 +/- 0.1 cm
for clicker, r = 16.4+/-0.2 cm
Total uncertainity in r is given by,
r = 16.4+/-0.1+16.4+/-0.2 = 32.8+/-0.3 cm
Here, 0.3 is the absolute uncertainity,
Relative uncertainity = 0.3/32.8 = 0.00914 cm = 0.91%
So, r = 16.4+-0.00457 cm
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