An object floats in water with 58 of its volume submerged. The ratio of the density of the object to that of water is

Complete Question

 An object floats in water with 5/8 of its volume submerged. The ratio of the density of the object to that of water is:

(a) 8/5

(b) 1/2

(c) 3/8

(d) 5/8

(e) 2/1

  The correct option is  d

Explanation:

 From the question we are told that

     The ratio of the  volume of the object submerged to the total volume of the object  is  

Generally the buoyancy force acting on the object is equal to the weight of the water displaced and this is mathematically represented as

Now the mass of the water displaced is mathematically represented as

While the mass of the object is mathematically represented as

So  

   =>    

From the question that it volume of the water displace (equivalent to the volume of the object in water  ) to the volume of the total object is

So

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min

the components of a vector are the parts of the vectors that are to each other.

b perpendicular