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A 5.00 kg particle starts from the origin at the time zero. its velocity as function of time is v=6t^2i+2tj where v in meters per second and t is in seconds.(a) find its position as a function of time.(b) describe its motion qualitatively.Find (c) its acceleration as a function of time, (d) the net force exerted on the particle as a function of time, (e) the net torque about the origin exerted on the particle as a function of time,(f) the angular momentum of the particle as a function of time,(g) the kinetic energy from the particle as a function of time, and (h) the power injected into the system of the particle as a function of time.
expressions for (i) average total energy of the oscillator, and (ii) average rate of
energy dissipation. Also show that the average rate of energy dissipation is equal to
the work done by the damping for per second.
th of its initial
value after 100 oscillations. If the time period be 1.15 sec, calculate the time in which
(i) its amplitude, and (ii) energy falls to
th of its undamped value. If the mass of the
oscillator be 1.127 gm, calculate its average rate of loss of energy
(a) a new system of units to describe something that interest you. Your unit should be described using at least two subunits. For example, you can decide to measure the quality of songs using a new unit called song awesomeness. Song awesomeness is measured and by: the number of songs downloaded and the number of times the song was used in movies.
(b) create an equation that shows how to calculate your unit. Then using your equation, create a sample dataset that you could graph. Are your two subunits related linearly, quadratically, or inversely? Your output must be designed to apply scientific reasoning and critical thinking using physics principles.
proportional to the velocity of the vibrating particle and obtain the condition of
resonance. Explain the quality factor, and sharpness of resonance and the factors on
which they depend.
Connected to the first question just submitted on muscles 1-4:
2. a) Which muscle(s) of these four has (have) the largest anatomic cross-sectional area? Why does it have the largest cross-sectional area?
b) If the specific tension of human muscle is assumed to be 90 N/cm2, then what is the ACSA of muscle 3?
3. Why is muscle 1 more powerful than muscle 4?
Force vs Positive Shortening velocity graph: all on the first graph
Note: force in N is the y-axis and velocity is the x-axis with absolute values for all
Muscle 1 has 1,500 N and decreasing slope that reaches 1.85 m/s
Muscle 2 has 750 N and decreasing slope reaches 1.85 m/s
Muscle 3 has 1,500 N with decreasing slope that reaches 0.85 m/s
Muscle 4 has 750 N with decreasing slope that reaches 0.85 m/s
Power vs Positive Shortening Velocity graph: all begin at origin (0,0)
Muscle 1 has the greatest increased power of approx 375W at 0.75m/s then decreases back to 0 Watts at 1.85 m/s
Muscle 2 has an increase in power of 190W at 0.75m/s then decreased back to 0 Watts at 1.85 m/s
Muscle 3 has an increase in power of 190 W at 0.25 m/s with a decrease of 0 watts at 0.85 m/s
Muscle 4 has the smallest increase in power of 95 Watts at 0.25 m/s with decrease 0 Watts at 0.85 m/s
1.a) Which muscle(s) of these four is (are) the longest at resting length? Why?
b) What is the resting length of muscle 2? Explain.
Particle A carrying a charge of 9.0 nC is at the origin of a Cartesian coordinate system.
(a) What is the electrostatic potential (relative to zero potential at infinity) at a position r = 4.0 m from the origin?
Express your answer with the appropriate units.
(b) With particle A held in place at the origin, how much work must be done by an outside agent to bring particle B, also carrying a 9.0-nC charge, from infinity to r = 4.0 m?
Express your answer with the appropriate units.
(c) Particle B is returned to infinity, and particle A is moved to r = 4.0 m and held there. How much work must be done by an outside agent to bring particle B from infinity to the origin?
Express your answer with the appropriate units.
A disk of radius R has positive charge uniformly distributed over an inner circular region of radius a and negative charge uniformly distributed over the outer annular (ring-shaped) region (Figure 1). The surface charge density on the inner region is +σ, and that on the annular region is −σ. The electrostatic potential at P, located on the central perpendicular axis a distance z=R from the disk center, is zero.
What is a?
Express your answer in terms of R. Express the coefficients using three significant digits.
#340153 on Dec 2023