Question

You have landed on an unknown planet, Newtonia, and want to know what objects weigh there. When you push a certain tool, starting from rest, on a frictionless horizontal surface with a 12.0-N force, the tool moves 16.0 m in the first 2.00 s. You next observe that if you release this tool from rest at 10.0 m above the ground, it takes 2.58 s to reach the ground. What does the tool weigh on Newtonia, and what does it weigh on Earth?

Answer 1

Answer:

Explanation:

Given

Force applied $F=12\ N$

time taken $t_1=2\ s$

Displacement $s=16\ m$

using

$s=ut+\frac{1}{2}at^2$

u=initial velocity

s=displacement

t=time

$16=0+\frac{1}{2}a(2)^2$

$a=8\ m/s^2$

thus mass of body $m=\frac{F}{a}=\frac{12}{8}=1.5\ kg$

Next it is released from a height of $h=10\ m$

time taken to reach ground $t_2=2.58\ s$

using  $s=ut+\frac{1}{2}at^2$ in vertical direction

here acceleration is due to acceleration due to gravity(g') of the planet

as it at rest so u=0 here

$10=0+\frac{1}{2}(g')(2.58)^2$

$g'=3.004\ m/s^2$

Thus acceleration due to gravity on Newtonian is $3\ m/s^2$

Weight of tool on Newtonia $W'=mg'$

$W'=1.5\times 3.004=4.506\ N$

Weight on Earth $W=1.5\times 9.8=14.7\ N$