Jane, looking for Tarzan, is running at top speed (5.3 m/s) and grabs a vine hanging vertically from a tall tree in the jungle. How high can she swing upward? Does the length of the vine affect your answer?

Solution Step 1 of 4 Gravitational force is the attraction force exerted by the two objects on each other with certain masses. Which is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.Example: In Solar system. As shown in the figure below, G m1m2 That is, F g r2 Where F isgthe gravitational force, m and m1are the 2asses of the two objects and r is the distance between them. G=6.67 × 10 11Nm /kg is universal gravitational constant. Step 2 of 4 a. What is the gravitational force of the sun on the earth Let us consider the mass of sun and earth be M and M ressectively end the distance between them be r . se The gravitational force of sun on the earth is, G M S e F se= rse Substituting M is 1.99 × 10 kg, M is 5.98 × 10 kg, r is 1.5 × 10 mand G=6.67 11 s e se × 10 11 Nm /kg in above equation, (6.67 ×1011Nm /kg ) (1.99×10 kg)(5.98×10 kg) F se= 11 2 (1.5×10 kg) 22 F se = 3.53 × 10 N 22 Therefore, the gravitational force of sun on the earth is 3.53 × 10 N .