Answer:
To solve this problem, we can use the formula for gravitational potential energy (GPE) that relates mass, height and gravitational field strength to the stored energy due to gravity. The formula is:
GPE = mgh
where GPE is the gravitational potential energy in joules (J), m is the mass in kilograms (kg), g is the gravitational field strength in newtons per kilogram (N/kg) and h is the height in meters (m)1.
We are given the values of GPE, m and h, and we need to find g. We can rearrange the formula to isolate g by dividing both sides by mh:
g = GPE / mh
Substituting the values given in the problem, we get:
g = 4 J / (6 kg x 3 m)
g = 0.2222… N/kg
To give the answer to 2 decimal places, we round up the last digit:
g = 0.22 N/kg
Therefore, the gravitational field strength experienced by the object is 0.22 N/kg. I hope this answer helps you understand how to use the formula for gravitational potential energy to find the gravitational field strength. Thank you for chatting with me.