4. A pendulum oscillates 12 times in 4 seconds.
a. What is the frequency of the pendulum's oscillations?
b. What is the period of the pendulum's oscillations?

Time period and frequency of its oscillation are 3 sec and 0.33 hertz.

Explanation:

A pendulum is used to describe the too and flow motion of it which is caused due to gravity. A bob consisting of less mass suspended from upper surface by pivot and it is the one which swings due to gravity.

Given:

A simple pendulum makes 12 oscillations in 4 seconds.

time period=?

frequency=?

As pendulum makes 12 oscillations in 4 seconds.

The time taken by pendulum for making one oscillation is 12/4 sec = 3 sec.

Time period = 3 sec.

Frequency of the pendulum's oscillations is found by the formula

Frequency = 1/T = 1/3 = 0.33 Hz

∴Time period and frequency of its oscillation are 3 sec and 0.33 hertz.

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s

gas and liquid