How much work does it take to raise a #2 kg # weight #1 m #?

Question

How much work does it take to raise a #2 kg    # weight #1  m    #?

Sebastian Acosta · Accepted Answer

#W=19.62J#

The equation of work, a type of energy transfer is given by #W=Fs# in which;

#W#=Work done, in Joule #(J)# #F# = Force exerted or applied, in Newton #(N)# or # kg m s^(-2)# #s# = Displacement/Distance, in metre or #m#

But then we only have information of mass, #m=2kg# and distance, #s=1m#. To find force, #F#, we use the equation of #F=ma# which is also equal to #F=mg# in which;

#m# = Mass of object, in kilogram or #kg# #g# = Gravitational acceleration, in #m s^(-2)#

Thus;

#W=Fs# #W=(mg)s# #W=(2kg xx 9.81m s^(-2)) xx 1m# #W=19.62kg m^2 s^(-2)# or #19.62N m# or #19.62J#

Julia Aguilar · Answer

undefined To calculate the work done in raising a 2 kg weight by 1 m, you can use the formula: work = force × distance. In this case, the force is equal to the weight of the object, which is the mass multiplied by the acceleration due to gravity (9.8 m/s^2). Therefore, the force exerted to lift a 2 kg weight is 2 kg × 9.8 m/s^2 = 19.6 N. Multiplying this force by the distance moved (1 m), the work done is 19.6 N × 1 m = 19.6 joules. So, it takes 19.6 joules of work to raise a 2 kg weight by 1 meter.

Charles Aeschliman · Answer

undefined The work done to raise a 2 kg weight by 1 meter against the force of gravity is 19.6 joules.