Question

ListenAn object gains 10. joules of potential energy as it is lifted vertically 2.0 meters. If a second object with one-half the mass is lifted vertically 2.0 meters, the potential energy gained by the second object will be10. J20. J5.0 J2.5 J

Answer 1

5. J

Step-by-step explanation:

Given:

• energy gain by an object of mass 'm',
  `U_1=10\ J`

• height of raising the mass,
  `h_1=2\ m`

• height of raising the second mass "0.5 m' ,
  `h_2=2\ m`

As we know that potential energy is given as:

`U=mgh`

So proportionally the the potential energy gain by the second mass:

`U_2=(m)/(2) .g.h`

`U_2=(10)/(2)`

`U_2=5\ J`

Answer 2

option C

Step-by-step explanation:

given,

gain of potential energy = 10 J

height of lift = 2 m

Let mass of the first object be m

for second object

mass is decrease to = 0.5 m

vertical height lifted = 2 m

P = m g h

10 = m x 9.8 x 2

m = 0.51 kg

new mass of the object = 0.5 x 0.51 = 0.255 Kg

potential energy gain

P = m g h

P = 0.255 x 9.8 x 2

P = 5 J

hence. the correct answer is option C