Answer:
44.492 kg
Explanation:
Convert pounds to kilograms.
1 lb = 0.454 kg
98 lb * 0.454 kg =44.492 kg
(a) 3.5 Hz
The angular frequency in a spring-mass system is given by

where
k is the spring constant
m is the mass
Here in this problem we have
k = 160 N/m
m = 0.340 kg
So the angular frequency is

And the frequency of the motion instead is given by:

(b) 0.021 m
The block is oscillating up and down together with the upper end of the spring. The block will lose contact with the spring when the direction of motion of the spring changes: this occurs when the spring is at maximum displacement, so at
x = A
where A is the amplitude of the motion.
The maximum displacement is given by Hook's law:

where
F is the force applied initially to the spring, so it is equal to the weight of the block:

k = 160 N/m is the spring constant
Solving for A, we find

Kepler actually showed that the planets move around the sun in ellipses, not circles. So the answer is false.
Answer:
77.625 cm
Explanation:
The given distance of the image behind the convex mirror, v = 11.5 cm
The focal length of the mirror, f = 13.5 cm
The mirror formula for convex mirror is given as follows;

Where;
u = The distance from the statue to the mirror
Therefore, we get;

Plugging in the values gives;

∴ The distance from the statue to the mirror, u = 621/8 cm = 77.625 cm.