Question

Use the universal law of gravitation to solve the following problem.

The force of gravity between Jake and his daughter Annika is 1.67 × 10–9 N. If they are 11 m apart and Jake has a mass of 110 kg, what is Annika's mass?

a. Write out the formula for this problem.

b. Plug in the values from this problem into the formula.

c. Solve the problem, writing out each step.

d. Correct answer

Answer 1

Step-by-step explanation:

Formula

Force = G * m1 * m2 / r^2

Givens

• F = 1.67 * 10 - 9 N
• G = 6.67 × 10-11 Newtons kg-2 m2.
• m1 = 110 kg
• m2 = ?
• r = 11 meters.

Solution

1.67 * 10^-9 = 6.67 * 10^-11 * 110 * m2/(11)^2 Divide both sides by 10^-9

1.67 * 10^-9/10^-9 = 6.67*10^-11/(10^-9 *110*m2/121

1.67 = 6.67 * 110 * 10^-2 * m2 / 121 Multiply both sides by 121

1.67 * 121 = 6.67 * 10 ^-2 * 110 * m2 * 121/121 Combine

202.07 = 7.337 * m2 Divide both sides by 7.337

202.07/7.337 = m2

m2 = 27.54 kg