5 A block with a mass, mi = 2.5kg, sits a distance d = 85cm from the top of a frictionless ramp at an angle, B = 30°. The mass is at rest and pressed against a spring (k = compressing it 15cm. At t = 0, the mass is released. a. Calculate the change in gravitational potential energy from t = 0 to the time that the mass first stops touching the spring. 1600N/m) d mi OM b. Calculate the kinetic energy of the mass when first stops touching the spring. c. Calculate the speed of the mass when it reaches the end of the platform. d. Calculate the velocity of the mass when it reaches the end of the platform.

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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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5 A block with a mass, mi = 2.5kg, sits a distance d = 85cm from the top of a frictionless
ramp at an angle, B = 30°. The mass is at rest and pressed against a spring (k =
compressing it 15cm. At t = 0, the mass is released.
a. Calculate the change in gravitational potential
energy from t = 0 to the time that the mass first stops
touching the spring.
1600N/m)
d
m1
b. Calculate the kinetic energy of the mass when first stops touching the spring.
c. Calculate the speed of the mass when it reaches the end of the platform.
d. Calculate the velocity of the mass when it reaches the end of the platform.
e. Calculate the maximum height that the mass will travel, relative to the end of the
platform.
Transcribed Image Text:5 A block with a mass, mi = 2.5kg, sits a distance d = 85cm from the top of a frictionless ramp at an angle, B = 30°. The mass is at rest and pressed against a spring (k = compressing it 15cm. At t = 0, the mass is released. a. Calculate the change in gravitational potential energy from t = 0 to the time that the mass first stops touching the spring. 1600N/m) d m1 b. Calculate the kinetic energy of the mass when first stops touching the spring. c. Calculate the speed of the mass when it reaches the end of the platform. d. Calculate the velocity of the mass when it reaches the end of the platform. e. Calculate the maximum height that the mass will travel, relative to the end of the platform.
ANSWERS
1 a. they are all the same; b. car, c. they are all the same; d. car, e. car, f. they are all the
same; g. car
2 a. 37.0kJ; b. 74.1kJ; c. 39.4m;
3 a. VB =
11.7m/s, vc = 8.85m/s, vD =
9.90m/s; b. 1.63m/s²-; c. 0.167;
4 a. 4.85m/s; b. 3.83m/s; c. 26.1cm;
5 a. 12.2J; b. 5.75J ; c. 2.46m/s; d. 2.13i + 1.23j m/s; e. 7.74cm;
Transcribed Image Text:ANSWERS 1 a. they are all the same; b. car, c. they are all the same; d. car, e. car, f. they are all the same; g. car 2 a. 37.0kJ; b. 74.1kJ; c. 39.4m; 3 a. VB = 11.7m/s, vc = 8.85m/s, vD = 9.90m/s; b. 1.63m/s²-; c. 0.167; 4 a. 4.85m/s; b. 3.83m/s; c. 26.1cm; 5 a. 12.2J; b. 5.75J ; c. 2.46m/s; d. 2.13i + 1.23j m/s; e. 7.74cm;
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