A sled, with mass m , is given a shove up a frictionless incline, which makes a

Question

A sled, with mass m, is given a shove up a frictionless incline, which makes a 33° angle with the horizontal. Eventually, the sled comes to a stop at a height of 1.51 m above where it started. Calculate its initial speed.
____________. A sled, with mass m, is given a shove up a frictionless incline, which makes a 33° angle with the horizontal. Eventually, the sled comes to a stop at a height of 1.51 m above where it started. Calculate its initial speed.
____________. A sled, with mass m, is given a shove up a frictionless incline, which makes a 33° angle with the horizontal. Eventually, the sled comes to a stop at a height of 1.51 m above where it started. Calculate its initial speed.

Explanation / Answer

Hi small mistake to find distance 'd'
From the free body diagram of sled

Apply Newton's second law
-mg sin 33= ma
So the accelertion of sled is
a =- (9.80 m/s2) sin33
= - 5.337 m/s2
The distance travelled by sled is
d = h /sin33
=(1.51m)/ sin33
= 2.77 m
From the kinematic relations
v^2 -u^2 =2as
Here final velocity v =0

-u^2 = 2(- 5.337 m/s2)( 2.77 m)
u = 5.4375 m/s

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