1. A flower pot falls from the open window of a building. It hits the ground 2 s

Question

1. A flower pot falls from the open window of a building. It hits the ground 2 sec later. How high was the building?

2. What is the gravitational force between the Earth and Jupiter? The distance between the Earth and Jupiter is roughly 9.54 million kilometers = 9.54 * 10^9 m.

3. Your weight is 60 kg on earth. How much would your weight on a space ship that orbits around the Earth at an altitude of 3,000,000 m around the Earth?

4. How long does the light take to travel from the sun to Jupiter? (The distance between the sun and Jupiter is 778.3 million km)

Explanation / Answer

1. Hmax = ut + 0.5 gt^2

here u = 0

t = 2 secs

g = 9.8 m/s^2

so Hmax = (0.5* 9.8 * 4*4)

Hmax = 78.4 m (ANSWER)

----------

2. Force F = Gm1m2/r^2

G is 6.67 *10^-11 Nm^2/kg^2

m1 = mass of earth = 5.97 *10^24 Kgs

m2 = mass of jupiter = 1.898*10^27 kgs

R = 9.54 *10^9 m

so

Force F = (6.67*10^-11 * 5.97 *10^24 * 1.898*10^27)/(9.54*10^9*9.54*10^9)

F = 8.3*10^21 N (ANSWER)

--------------------------

3. g at certain height gh = (GM/(R+h)^2

here R+h = 6400000 + 3000000 = 9400000m

so

gh = (6.67*10^-11* 5.97 *10^24)/(9400000* 9400000)

gh = 4.5 m/s^2

new Weight W = mg = 4.5 * 60 = 270 N (answer)

-------------------------------------------

4. Velocity V = distance/time

time t = s/V

t = 778.3*10^9/(3*10^8)

t = 2594.33 secs or 43 mins (answer)

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

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