A steel spring had a spring constant of 2 x 10^2 Nm^-1. Calculate the weight of an object which when attached to the unloaded spring produces an extension of 50mm. The elastic limit is not exceeded

10 N

Explanation:

50 mm in m is 50 x 10^-3 m

Therefore : By using f=kx

200x 0.05 = f = 10 N

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

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