In an arcade video game, a spot is programmed to move across the screen according to x = 9.00 t − 0.750 t 3 , where x is distance in centimeters measured from the left edge of the screen and t is time in seconds. When the spot reaches a screen edge, at either x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again according to x ( r ). (a) At what time after starting is the spot instantaneously at rest? (b) At what value of x does this occur? (c) What is the spot’s acceleration (including sign) when this occurs? (d) Is it moving right or left just prior to coming to rest? (e) Just after? (f) At what time t > 0 does it first reach an edge of the screen?
In an arcade video game, a spot is programmed to move across the screen according to x = 9.00 t − 0.750 t 3 , where x is distance in centimeters measured from the left edge of the screen and t is time in seconds. When the spot reaches a screen edge, at either x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again according to x ( r ). (a) At what time after starting is the spot instantaneously at rest? (b) At what value of x does this occur? (c) What is the spot’s acceleration (including sign) when this occurs? (d) Is it moving right or left just prior to coming to rest? (e) Just after? (f) At what time t > 0 does it first reach an edge of the screen?
In an arcade video game, a spot is programmed to move across the screen according to x = 9.00t− 0.750t3, where x is distance in centimeters measured from the left edge of the screen and t is time in seconds. When the spot reaches a screen edge, at either x = 0 or x = 15.0 cm, t is reset to 0 and the spot starts moving again according to x(r). (a) At what time after starting is the spot instantaneously at rest? (b) At what value of x does this occur? (c) What is the spot’s acceleration (including sign) when this occurs? (d) Is it moving right or left just prior to coming to rest? (e) Just after? (f) At what time t > 0 does it first reach an edge of the screen?
A mass is connect to a vertical revolving axle by two strings of length L, each making an angle of 45 degrees with the axle, as shown. Both the axle and mass are revolving with angular velocity w, Gravity is directed downward. The tension in the upper string is T_upper and the tension in the lower string is T_lower.Draw a clear free body diagram for mass m. Please include real forces only.Find the tensions in the upper and lower strings, T_upper and T_lower
2. A stone is dropped into a pool of water causing ripple to spread out. After 10 s
the circumference of the ripple is 20 m. Calculate the velocity of the wave.
10. Imagine you have a system in which you have 54 grams of ice. You can melt this
ice and then vaporize it all at 0 C. The melting and vaporization are done reversibly
into a balloon held at a pressure of 0.250 bar. Here are some facts about water you
may wish to know. The density of liquid water at 0 C is 1 g/cm³. The density of ice at 0
C is 0.917 g/cm³. The enthalpy of vaporization of liquid water is 2.496 kJ/gram and the
enthalpy of fusion of solid water is 333.55 J/gram.
A. How much energy does the ice absorb as heat when it melts?
B. How much work is involved in melting the ice?
C. What is the total change in energy for melting the ice?
D. What is the enthalpy change for melting the ice?
E. What is the entropy change for melting the ice?
F. What is the change in Helmholtz energy for melting the ice?
G. What is the change in Gibbs energy for melting the ice?
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