Question Details Answer the problems, pay attention to units. 1. Calculate the f

Question

Question Details
Answer the problems, pay attention to units.

1. Calculate the force between two objects that have masses of 70 kg and 2,000 kilograms separated by a distance of 1 meter.

2. Calculate the force between two touching grapefruits each with a radius of 0.08 meters and a mass of 0.45 kilograms.

3. Calculate the force between one grapefruit as described above and EArth. EArth has a mass of 5.9742 x10^24 kg and a radius of 6.3710 x 10^6 meters. Assume the grapefruit is resting on Earth's surface.

Explanation / Answer

1. The first mass, m1 = 70 kg    The second mass, m2 = 2000 kg    The separation between the above two masses, r = 1 m    Universa gravitational constat, G = 6.67 * 10^-11 Nm^2/kg^2    The force between the above two masses, F = Gm1m2/r^2             F = [ 6.67 * 10^-11 * 70 * 2000]/1 = 9.34 * 10^-6 N 2.   The two masses = m1 = m2 = 0.45 kg    The distance between the above two masses = 2 * radius = 2 * 0.08 = 0.16 m    The force between the two, F = Gm1m2/r^2             F = [ 6.67 * 10^-11 * 0.45 * 0.45]/0.16^2 = 52.8 * 10^-11 N 3.   The mass of Earth, M = 5.9742 x10^24 kg    The mass of grape, m = 0.45 kg    The distance between the grape and earth = Radius of earth                                                                r = 6.3710 x 10^6 m    The force between the above two is, F = GMm/r^2    F = [ 6.67 * 10^-11 * 5.9742 x10^24 * 0.45]/[6.3710 x 10^6]^2       = 4.38 N             F = [ 6.67 * 10^-11 * 0.45 * 0.45]/0.16^2 = 52.8 * 10^-11 N 3.   The mass of Earth, M = 5.9742 x10^24 kg    The mass of grape, m = 0.45 kg    The distance between the grape and earth = Radius of earth                                                                r = 6.3710 x 10^6 m    The force between the above two is, F = GMm/r^2    F = [ 6.67 * 10^-11 * 5.9742 x10^24 * 0.45]/[6.3710 x 10^6]^2       = 4.38 N    F = [ 6.67 * 10^-11 * 5.9742 x10^24 * 0.45]/[6.3710 x 10^6]^2       = 4.38 N

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.