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Class Management | Help Homework 9 Begin Date: 10/29/2023 12:01:00 AM -- Due Date: 11/11/2023 11:59:00 PM End Date: 11/12/2023 10:59:00 AM (7%) Problem 6: You give a crate of mass $m = 1.00 \text{ kg}$ an initial speed of $v_i = 4.00 \text{ m/s}$ up an incline of $\theta = 18.7^\circ$. The crate then slides along the incline, reaches a spring of spring constant $k = 81.9 \text{ N/m}$, and compresses the spring by $\Delta x = 15.0 \text{ cm}$ before stopping. 25% Part (a) Assuming there is no friction, what is the distance, $d$, in meters, along the incline that the crate slides? d = m sin() cos() tan() cotan() asin() acos() atan() acotan() sinh() cosh() tanh() cotanh() ? ( 7 8 9 E 4 5 6 1 2 3 0 + Degrees Radians Submit Hints Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 25% Part (b) What distance, $d_s$, in meters, had the crate moved when it just touched the spring? 25% Part (c) If there were friction between the crate and incline, which of the options below would be the correct equation for the magnitude of the kinetic friction force? 25% Part (d) If there were friction between the crate and incline, what value of the coefficient of kinetic friction would stop the crate after it travels a distance, $d_s$, stopping just before it begins to compress the spring?

          Class Management | Help
Homework 9 Begin Date: 10/29/2023 12:01:00 AM -- Due Date: 11/11/2023 11:59:00 PM End Date:
11/12/2023 10:59:00 AM
(7%) Problem 6: You give a crate of mass $m = 1.00 \text{ kg}$ an initial speed of $v_i = 4.00 \text{ m/s}$ up an
incline of $\theta = 18.7^\circ$. The crate then slides along the incline, reaches a spring of spring constant
$k = 81.9 \text{ N/m}$, and compresses the spring by $\Delta x = 15.0 \text{ cm}$ before stopping.
25% Part (a) Assuming there is no friction, what is the distance, $d$, in meters, along the incline that
the crate slides?
d =  m
sin() cos() tan()
cotan() asin() acos() atan() acotan() sinh()
cosh() tanh() cotanh()
?
(
7 8 9
E 4 5 6
1 2 3
0
+
Degrees Radians
Submit Hints
Hints: 0% deduction per hint. Hints remaining: 2
Feedback: 0% deduction per feedback.
25% Part (b) What distance, $d_s$, in meters, had the crate moved when it just touched the spring?
25% Part (c) If there were friction between the crate and incline, which of the options below would
be the correct equation for the magnitude of the kinetic friction force?
25% Part (d) If there were friction between the crate and incline, what value of the coefficient of
kinetic friction would stop the crate after it travels a distance, $d_s$, stopping just before it begins to compress
the spring?

$Class Management | Help Homework 9 Begin Date: 10/29/2023 12:01:00 AM – Due Date: 11/11/2023 11:59:00 PM End Date: 11/12/2023 10:59:00 AM (7%) Problem 6: You give a crate of mass $m = 1.00 \text{ kg}$ an initial speed of $vi = 4.00 \text{ m/s}$ up an incline of θ = 18.7^∘. The crate then slides along the incline, reaches a spring of spring constant k = 81.9 N/m, and compresses the spring by Δ x = 15.0 cm before stopping. 25% Part (a) Assuming there is no friction, what is the distance, $d$, in meters, along the incline that the crate slides? d = m sin() cos() tan() cotan() asin() acos() atan() acotan() sinh() cosh() tanh() cotanh() ? ( 7 8 9 E 4 5 6 1 2 3 0 + Degrees Radians Submit Hints Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 25% Part (b) What distance, $ds$, in meters, had the crate moved when it just touched the spring? 25% Part (c) If there were friction between the crate and incline, which of the options below would be the correct equation for the magnitude of the kinetic friction force? 25% Part (d) If there were friction between the crate and incline, what value of the coefficient of kinetic friction would stop the crate after it travels a distance, ds, stopping just before it begins to compress the spring?$

Added by Jose Manuel P.

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