Answer:
at R/
Explanation:
The free-fall acceleration at the surface of Earth is given by
where
G is the gravitational constant
M is the Earth's mass
R is the Earth's radius
The formula can be rewritten as
(1)
We want to shrink the Earth at a radius R' such that the acceleration of gravity becomes 3 times the present value, so
g' = 3g
Keeping the mass constant, M, and substituting into the equation, we have
Answer:
g = 11.2 m/s²
Explanation:
First, we will calculate the time period of the pendulum:
where,
T = Time period = ?
t = time taken = 135 s
n = no. of swings in given time = 98
Therefore,
T = 1.38 s
Now, we utilize the second formula for the time period of the simple pendulum, given as follows:
where,
l = length of pendulum = 54 cm = 0.54 m
g = acceleration due to gravity on the planet = ?
Therefore,
<u>g = 11.2 m/s²</u>