A :-) for this question , we should apply
F = GMm by d^2
( For making the calculation easy , first remove the decimals )
Given : G = 6.7 x 10^-11 Nm^2 / kg^2
= 67 x 10^-12 Nm^2 / Kg^2
M = 65 kg
m = 40 kg
d = 0.5 m
Solution -
F = GMm by d^2
F = 67 x 10^-12 x 65 x 40 by 0.5 x 0.5
F = 4355 x 40 x 10^-12 by 0.25
F = 174200 x 10^-12 by 0.25
F = 696800 x 10^-12
.:. The Gravitational force between mark and Katie is 696800 x 10^-12
The force must be made over a distance
Answer:
(a) T = 0.412s
(b) f = 2.42Hz
(c) w = 15.25 rad/s
(d) k = 86.75N/m
(e) vmax = 5.03 m/s
Explanation:
Given information:
m: mass of the block = 0.373kg
A: amplitude of oscillation = 22cm = 0.22m
T: period of oscillation = 0.412s
(a) The period is the time of one complete oscillation = 0.412s
The period is 0.412s
(b) The frequency is calculated by using the following formula:

The frequency is 2.42 Hz
(c) The angular frequency is:

The angular frequency is 15.25 rad/s
(d) The spring constant is calculated by solving the following equation for k:

The spring constant is 86.75N/m
(e) The maximum speed is:

(f) The maximum force applied by the spring if for the maximum elongation, that is, the amplitude:

The maximum force that the spring exerts on the block is 17.35N
Answer:
Subtract the kinetic energy at the bottom from the potential energy loss. The remainder becomes frictional heat.
Potential energy loss:
M g H = 21.7*9.81*3.5 = 745.1 J
Kinetic energy at bottom of slide:
= (1/2) M v^2 = 52.5 J
Answer: only in the column for metalloids
Explanation: nonmetals are poor conductors, metals are good conductors, metalloids are right between