Question

The weight of person on planet A is about half that on the earth.He can jump up to 0.4 m heigh on earth how heigh can he jump on Planet A​

Answer 1

Answer:

0.2

okk fine i hope this is right

Answer 2

•weight of person on earth(We)=m$\bold{g}_{e}$

•weight of person on planet(Wp)=m$\bold{g}_{p}$

#Given:

• Wp = 1/2 (We)

#solution:

• Wp =1/2 We
• m$\ {g}_{p}$ = 1/2 m$\ {g}_{e}$
• $\ {g}_{p}$ = 1/2 $\ {g}_{e}$

Now use 3rd equation of motion..

${v}^{2} = {u}^{2} + 2as$

where 's' is the max height.

at maximum height velocity of object becomes zero.

'v' = 0 (in both conditions)

'u' initial velocity will be same for both as same person is jumping.

'a' here will be the acceleration due to gravity.(which is 10 for earth )

• For planet A

$\: \: \: \: \: \: \: \: \: \: {0}^{2} = {u}^{2} + 2 ( - g_{p})h \\ {u}^{2} = 2 g_{p}h$

•For earth

${0}^{2} = {u}^{2} + ( - 2 g_{e})0.4$

$\: \: \: \: \: \: \: \: \: \: \: \: {u}^{2} = 2 \times 10 \times 0.4 \\ {u}^{2} = 8$

put the value of u^2 in planet A equation.

• $\ {u}^{2}$ = 2$\ {g}_{p}$h

• 8 = 2 * 1/2 $\ {g}_{e}$ * h

• 8= 10×h

•h = 0.8m

hope it helps!