Answer:
, it will sink
Explanation:
The density of an object is given by
where
m is the mass of the object
V is its volume
For the body in the problem, we have
m = 4 kg = 4000 g
Therefore, its density is
And the object will sink in water, because its density is larger than that of water, which is . (an object sinks when its density is larger than that of water, otherwise it floats).
Answer:
24.71cm
Explanation:
We approach this problem base don Hooke's law which states the elongation produced in an elastic material is proportional to the applied load or force provided that its elastic limit is not exceeded. This is expressed mathematically as follows;
where F is the applied force, k is the force constant and e is the elongation or extension of the material.
In this problem, the applied force F is the weight of the wood which is calculated as follows,
m = 4.11kg
Hence,
Given that k = 163N/m, we make appropriate substitutions into equation (1) to obtain the following;
Since it is required in cm, we perform the conversion as follows, knowing that 100cm = 1m
NB: We do not necessarily need the the density of the wood to perform our calculations since other parameters were given from which we were able to obtain its weight.