6 A student wishes to determine the spring constant of a spring where it obeys Hooke's law,
Different loads are hung from the spring and its length is measured for each different load,
The table shows the results of the experiment.
0
2.0
4.0
5.0
weight of load/N
length of spring/cm
12
20
28
38
What is the value of the spring constant of the spring?
A
B
0.13 N/cm
0.14 N/cm
D
C 0.19 N/cm
0.25 N/cm

Agas is contained in a vertical, frictionless piston–cylinder device. the piston has a mass of 3.2 kg and a cross-sectional area of 35 cm2. a compressed spring above the piston exerts a force of 190 n on the piston. if the atmospheric pressure is 95 kpa, determine the pressure inside the cylinder.

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1

Boxing gloves are padded to lessen the force of a blow. (a) calculate the force exerted by a boxing glove on an opponent’s face, if the glove and face compress 7.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. (b) calculate the force exerted by an identical blow in the gory old days when no gloves were used and the knuckles and face would compress only 2.00 cm. (c) discuss the magnitude of the force with glove on. does it seem high enough to cause damage even though it is lower than the force with no glove?