Four different balls with different masses (measured in grams) were dropped from the same height on Earth. Assuming no other forces acted on the balls, match each ball with the gravitational force (measured in newtons) it experienced as it fell.
Column A
1.
:
2.
:
3.
:
4.
:
Column B
a.4018 N
b.1401N
c.1078 N
d.451 N
To determine the gravitational force experienced by each ball, we need to use the equation:
force = mass * acceleration due to gravity
On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
Given that the masses of the balls are measured in grams, we need to convert them to kilograms before calculating the forces.
1. Ball Mass: 250 g = 0.25 kg
Force = 0.25 kg * 9.8 m/s^2 = 2.45 N
2. Ball Mass: 400 g = 0.4 kg
Force = 0.4 kg * 9.8 m/s^2 = 3.92 N
3. Ball Mass: 500 g = 0.5 kg
Force = 0.5 kg * 9.8 m/s^2 = 4.9 N
4. Ball Mass: 700 g = 0.7 kg
Force = 0.7 kg * 9.8 m/s^2 = 6.86 N
Matching the calculations to the given options:
1. Ball 1 experiences a force of 2.45 N: matches with column B's letter d. 451 N
2. Ball 2 experiences a force of 3.92 N: matches with column B's letter c. 1078 N
3. Ball 3 experiences a force of 4.9 N: matches with column B's letter b. 1401 N
4. Ball 4 experiences a force of 6.86 N: matches with column B's letter a. 4018 N