Question

A person can jump a maximum horizontal distance (by using a 45◦ projectile angle) of 5 m on Earth. The acceleration of gravity is 9.8 m/s 2 . What would be his maximum range on the Moon, where the free-fall acceleration is g 6 ? Answer in units of m

Answer 1

Answer:30 m

Step-by-step explanation:

Given

Maximum Horizontal distance is 5 m on earth

launching angle
`=45^(\circ)`

Acceleration due to gravity on earth is
`9.8 m/s^2`

Acceleration due to gravity on moon is
`(9.8)/(6)=1.63 m/s^2`

Range of projectile is given by

`R=(u^2\sin 2\theta )/(g)`

`R_(earth)=(u^2\sin 2\theta )/(g)=5`----1

`R_(moon)=(u^2\sin 2\theta )/((g)/(6))`-----2

Divide 1 & 2

`(5)/(R_(moon))=(1)/(6)`

`R_(moon)=30 m`