The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, cap t times m , and the force of gravity, cap g of m , for objects of various masses, m in grams, all accelerating upward at 2 point 5 the fraction with numerator m and denominator s squared m 0 point 5 1 point 2 2 point 6 3 point 4 cap t times m 1 point 2 5 3 6 point 5 8 point 5 m 0 point 5 1 point 2 2 point 6 3 point 4 cap g of m 4 point 9 11 point 7 6 25 point 4 8 33 point 3 2 The force of the rope is equal to the negative of the sum of the rope’s tension and the force of gravity. Which table shows the values when combining the functions to find the force of the rope?
Answer
A
Table with 2 columns and 5 rows.Row 1: Column 1, 'm'; Column 2, 'negative cap t times m plus cap g of m' Row 2: Column 1, '0 point 5'; Column 2, '3 point 6 5' Row 3: Column 1, '1 point 2'; Column 2, '8 point 7 6' Row 4: Column 1, '2 point 6'; Column 2, '18 point 9 8' Row 5: Column 1, '3 point 4'; Column 2, '24 point 8 2'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'm'; Column 2, 'negative cap t times m plus cap g of m' Row 2: Column 1, '0 point 5'; Column 2, '6 point 1 5' Row 3: Column 1, '1 point 2'; Column 2, '14 point 7 6' Row 4: Column 1, '2 point 6'; Column 2, '31 point 9 8' Row 5: Column 1, '3 point 4'; Column 2, '31 point 9 8'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'm'; Column 2, 'negative cap t times m plus cap g of m' Row 2: Column 1, '0 point 5'; Column 2, 'negative 3 point 6 5' Row 3: Column 1, '1 point 2'; Column 2, 'negative 8 point 7 6' Row 4: Column 1, '2 point 6'; Column 2, 'negative 18 point 9 8' Row 5: Column 1, '3 point 4'; Column 2, 'negative 18 point 9 8'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'm'; Column 2, 'negative cap t times m plus cap g of m' Row 2: Column 1, '0 point 5'; Column 2, 'negative 6 point 1 5' Row 3: Column 1, '1 point 2'; Column 2, 'negative 14 point 7 6' Row 4: Column 1, '2 point 6'; Column 2, 'negative 31 point 9 8' Row 5: Column 1, '3 point 4'; Column 2, 'negative 41 point 8 2'