Question

A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 6.00 mm to the bottom of the incline is 3.80 m/s.What is the speed of the block when it is 3.00 m from the top of the incline?

Answer 1

Answer:

Explanation:

Given

Speed of block at bottom is $v=3.8\ m/s$

Distance traveled $s=6\ m$

initial velocity is zero

using equation of motion

$v^2-u^2=2as$

where v=final velocity

u=initial velocity

a=acceleration

s=displacement

$(3.8)^2-0=2\times a\times 6$

$a=1.203\ m/s^2$

when it is 3 m from top then

$v^2-u^2=2as$

$v^2-0=2\times 1.203\times 3$

$v=2.68\ m/s$