Problem 4 An object's position function is given by ai(t)-5+10t (with ri in meters if t...
Problem 4 An object's position function is given by x1(t) = 5 + 10t (with 2.1 in meters if t is in seconds). A second object's position function is 2(t) 5-6t. (a) If the first object's mass is 1/3 the mass of the second one, what is the position of the system's center of mass as a function of time? (b) Under the same assumption, what is the velocity of the system's center of mass?
An object moves along the x-axis with its position x, in meters, given as a function of time t, in seconds, by x(-1.417-9.491+ 4.68 r(t)-1.41 t2-9.4% + 4.68 What is the object's velocity at time t 1.01 s? Number m/ s
Part A: The position of a 55 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s. Express your answer in meters per second to two significant figures. Part B: Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? Express your answer in newtons per meter to two significant figures. Part C: What is the total energy E...
An object's position is given as a function of time by where b and c are constants. (a) What are the SI units of b and c? (b) Find the object's velocity as a function of time. (c) Find the object's acceleration at time t = 0.
Particle 1 has mass 3.42 kg and its position in meters as a function of time is given by r1(t) = 2.00t i + 7.00t2j. Particle 2 has mass 5.00 kg and its position in meters as a function of time is given by r2(t) = 7.00 i - 8.00t3j. (a) At time t = 0.433 s, the center-of-mass of the two particles is located at m/s i + m/s j (b) At time t = 0.658 s, the velocity...
A) Now let's see what we can tell from an equation for position: x(t)=6t^2+4.2t+9x(t)=6t2+4.2t+9 What is the object's initial velocity? Assume each term has units of meters, and that time is in seconds. B) Now let's see what we can tell from an equation for position: x(t)=6t^2+4.2t+9x(t)=6t2+4.2t+9 What is the object's acceleration? Assume each term has units of meters, and that time is in seconds.
A. The position of a 45 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s. B. Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? C. What is the total energy E of the mass described in the previous parts?
An object's position is given by the equation:a. What is the velocity of the object as a function of time? b. What is the acceleration of the object as a function of time? c. What is the magnitude of the instantaneous velocity at t = 3.0 s? d. What is the direction of the acceleration? (specify an angle relative to the + x axis).
If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H= 10t-1.86t^2. a). Find thevelocity of the rock after one second. b). Find the velocity of the rock when t=a. c). When will the rock hit the surface? d). With what velocity will the rock hit thesurface?
The position of a particle moving along the x axis is given by x = 5 + 6t -3t2 meters, where t is in seconds. What is the average velocity during the time interval t = 2.0s to t=4.0s?