Question

newton's 2nd law

FEMA Lab 1) Compute the acceleration of the system using kinematics if the cart moves the 10 cm in 0.45 sec. 2) Compute the acceleration of the system using Newton's Second Law. The mass of the weight is 200 grams and the mass of the cart is 1.76 kilograms. 3) Compute the % error between the two measurements. Use the value derived using kinematics as the experimental value and the value derived using Newton's 2nd Law as the theoretical value • Previous MBOK AT

Answer 1

1)

d = 1/2at²

0.1 = 1/2 * a * 0.45²

solve for a, we have

a = 0.9876 m/s²

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2) using Newton's second law

Fnet = ma

for hanging mass, mg - T = ma

T - T + mg = ( m + M)a

a = mg / (m + M)

where M is mass of cart

so,

a = 200e-3 * 9.8 / ( 0.2 + 1.76)

a = 1 m/s²

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3)

% error = (1 - 0.9876 / 1) * 100

% error =1.24 %