An object has a weight of 5.10 newtons (N) at the level of the sea, where the acceleration due to gravity is 9.81 m/s 2. What is the acceleration caused by gravity on the object if it is placed in a spaceship to 1,000 km above the sea level, where the gravity exerts a force of 3.81 N on the object?
A. 1.33 m/s 2
B. 2.57 m/s 2
C. 7.33 m/s 2
D. 12.6 m/s 2
+33666 Force (weight) is mass*acceleration, so the mass of the object is m = 5.10/9.81 kg.
Mass is the same at all heights, so when force (weight) is 3.81N the gravitational acceleration is a = 3.81/(5.10/9.81) m/s2.
$${\mathtt{a}} = {\frac{{\mathtt{3.81}}{\mathtt{\,\times\,}}{\mathtt{9.81}}}{{\mathtt{5.1}}}} \Rightarrow {\mathtt{a}} = {\mathtt{7.328\: \!647\: \!058\: \!823\: \!529\: \!4}}$$
a ≈ 7.33 m/s2
+33666 Force (weight) is mass*acceleration, so the mass of the object is m = 5.10/9.81 kg.
Mass is the same at all heights, so when force (weight) is 3.81N the gravitational acceleration is a = 3.81/(5.10/9.81) m/s2.
$${\mathtt{a}} = {\frac{{\mathtt{3.81}}{\mathtt{\,\times\,}}{\mathtt{9.81}}}{{\mathtt{5.1}}}} \Rightarrow {\mathtt{a}} = {\mathtt{7.328\: \!647\: \!058\: \!823\: \!529\: \!4}}$$
a ≈ 7.33 m/s2
