Ablock oscillating on a spring has period t = 2.8 s . (note: you do not know values for either m or k. do not assume any particular values for them. the required analysis involves thinking about ) what is the period if the block's mass is doubled? (b) what is the period if the value of the spring constant is doubled? (c) what is the period if the oscillation amplitude is halved while m and k are unchanged?

Part a)

T = 3.96 s

Part b)

T = 1.98 s

Part c)

T = 2.8 s

Explanation:

As we know that time period of spring block system is given as

T = 2.8 s

Part a)

If the mass of the block attached is doubled

then we will have

Part b)

If the spring constant is doubled

then we have

Part c)

If the amplitude is halved but mass and spring constant will remain the same

so here we know that time period does not depends on Amplitude

so we will have

T = 2.8 s

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.