A stop block, s, prevents a crate from sliding down a 0 = 23.0 ° incline. (Figure 1) A tensile force F = (Fot) N acts on the crate parallel to the incline, where Fo = 330 N/s. If the coefficients of static and kinetic friction between the crate and the incline are H, = 0.300 and Hk = 0.190, respectively, and the crate has a mass of 44.4 kg , how long will it take until the crate reaches a velocity of 4.25 m/s as it moves up the incline? Express your answer numerically in seconds to three significant figures. • View Available Hint(s) ΑΣφ It vec ?
A stop block, s, prevents a crate from sliding down a 0 = 23.0 ° incline. (Figure 1) A tensile force F = (Fot) N acts on the crate parallel to the incline, where Fo = 330 N/s. If the coefficients of static and kinetic friction between the crate and the incline are H, = 0.300 and Hk = 0.190, respectively, and the crate has a mass of 44.4 kg , how long will it take until the crate reaches a velocity of 4.25 m/s as it moves up the incline? Express your answer numerically in seconds to three significant figures. • View Available Hint(s) ΑΣφ It vec ?
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Transcribed Image Text:Learning Goal:
To use the principle of linear impulse and momentum to
relate a force on an object to the resulting velocity of the
object at different times.
The equation of motion for a particle of mass m can be
written as
dv
EF = ma = m-
dt
By rearranging the terms and integrating, this equation
becomes the principle of linear impulse and momentum:
ΣFd
S dv
= m
= mv2 – mv1
For problem-solving purposes, this principle is often
rewritten as
t2
mvị +£ F dt = mv2
The integral F dt is called the linear impulse, I, and
the vector mv is called the particle's linear momentum.
A stop block, s, prevents a crate from sliding down a 0 = 23.0 ° incline. (Figure 1) A tensile force F = (Ft) N acts
on the crate parallel to the incline, where Fo = 330 N/s. If the coefficients of static and kinetic friction between the
crate and the incline are ug = 0.300 and u = 0.190, respectively, and the crate has a mass of 44.4 kg, how long
will it take until the crate reaches a velocity of 4.25 m/s as it moves up the incline?
Express your answer numerically in seconds to three significant figures.
• View Available Hint(s)
vec
?
t =
S
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