As shown in Figure 1, a block with mass m = 3.5 kg is placed on a horizontal surface at position A, where it compresses a spring with spring constant k by a displacement Ax. 1 K = =mv² Ug = mgy 1 Delta x (cm) = 49.25 U, = żK(Ax)? F = HkN The mass is released from rest at position A, and the spring expands until the block leaves the spring at position B. There is no friction between A and B. Wext = Fext Cos 0 Ax Wext = (K – Ko) + (U – U.) Between positions B and C, the block travels over a flat, rough surface having a coefficient of kinetic friction µg and length d = 5.5 m. d Figure 1. Between positions C and D, the block climbs a curved ramp until it reaches position D, a height h = 2.0 m above the surface. There is no friction between C and D. a) The block's velocity when it reaches position B is vg = 9.65 m/s. Use conservation of energy between positions A and B to calculate the value of the spring constant k (in N/m). b) The block's velocity when it reaches position C is vc- v. (m/s) = 6.45 Use conservation of energy between positions B and C to calculate the coefficient of kinetic friction Hk- c) Use conservation of energy between positions C and D to calculate the block's velocity (in m/s) when it reaches position D.
As shown in Figure 1, a block with mass m = 3.5 kg is placed on a horizontal surface at position A, where it compresses a spring with spring constant k by a displacement Ax. 1 K = =mv² Ug = mgy 1 Delta x (cm) = 49.25 U, = żK(Ax)? F = HkN The mass is released from rest at position A, and the spring expands until the block leaves the spring at position B. There is no friction between A and B. Wext = Fext Cos 0 Ax Wext = (K – Ko) + (U – U.) Between positions B and C, the block travels over a flat, rough surface having a coefficient of kinetic friction µg and length d = 5.5 m. d Figure 1. Between positions C and D, the block climbs a curved ramp until it reaches position D, a height h = 2.0 m above the surface. There is no friction between C and D. a) The block's velocity when it reaches position B is vg = 9.65 m/s. Use conservation of energy between positions A and B to calculate the value of the spring constant k (in N/m). b) The block's velocity when it reaches position C is vc- v. (m/s) = 6.45 Use conservation of energy between positions B and C to calculate the coefficient of kinetic friction Hk- c) Use conservation of energy between positions C and D to calculate the block's velocity (in m/s) when it reaches position D.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:As shown in Figure 1, a block with mass
m = 3.5 kg is placed on a horizontal surface at
position A, where it compresses a spring with
spring constant k by a displacement Ax.
K = :
= mgy
Us
Delta x (cm) = 49.25
U, = -k(ax)?
Fr = HkN
The mass is released from rest at position A, and
the spring expands until the block leaves the
spring at position B. There is no friction between
A and B.
Wext = Fext Cos 0 Ax
Wext = (K – Ko) + (U – U.)
Between positions B and C, the block travels over a flat, rough surface having a
coefficient of kinetic friction µg and length d = 5.5 m.
k
h
m
d
Figure 1.
Between positions C and D, the block climbs a curved ramp until it reaches position
D, a height h = 2.0 m above the surface. There is no friction between C and D.
a) The block's velocity when it reaches position B is vg = 9.65 m/s. Use
conservation of energy between positions A and B to calculate the value of the
spring constant k (in N/m).
b) The block's velocity when it reaches position C is vc.
ve (m/s)
: 6.45
Use conservation of energy between positions B and C to calculate the coefficient
of kinetic friction µx-
c) Use conservation of energy between positions C and D to calculate the block's
velocity (in m/s) when it reaches position D.
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