5 If the time-dependent force on a 3 kg body is F 3t j (where everything...
The only force F~ acting on a body of mass m (in kg) changes in time t according to F~ (t) = (F0 sin(ωt), F0 cos(ωt)) where F0 is a constant with units of N and the greek letter ω is a constant with units of radians/s. (Technically a radian is dimensionless, but I’ve explicitly stated it to clarify the problem.) Assume all arbitrary constants that appear due to indefinite integration are zero. (a) What is the acceleration vector of...
A 2.5-kg object experiences a single, time-dependent force Fx(t) = (18 N/s )t - (36 N ). 1.What is the object's acceleration at t = 0? 2.What is the object's acceleration at t = 2.0 s? 3.What is the object's acceleration at t = 4.0 s?
4) A 20 kg cart is pushed from a force modeled by F in seconds. Assume right is a positive direction. 3t+20 where F is the net force measured in Newtons and t is time a) b) c) What would the units of the numbers 3 and 20 be in the above equation? What is the impulse given to the ball from 0-10 seconds? If the cart was moving left at 4.0 m/s, what speed and direction is the cart...
The acceleration of a body is given by a (t) = 8 + 4t - 3t^2 , where a is in m / s^2 and (t) in seconds. TO t = 2.0 s, the initial velocity of the particle is 2.0 m / s. Find the velocity of the particle at t = 4.0 s
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
A constant horizontal force F a pushes a 2.60 kg FedEx package across a frictionless floor on which an xy coordinate system has been drawn. The figure gives the package's x and y velocity components versus time t. What are the (a) magnitude and (b) direction of Fa? Give the direction as a positive or negative angle of magnitude less than 180° relative to the +x-axis. V. (m/s) v (m/s) 10 1 2 3 Units (a) Number (b) Number Units...
Question 3 (30 pts) The ball B has a mass of 10 kg and is attached to the end of a rod whose mass may be neglected. The rod is subjected to a force F = 10t2, where t is in seconds and F is in Newtons. If the ball has an initial velocity of v= 5 m/s when t=0 determine; a) the time required for the ball to reach a velocity of v= 15 m/s, b) the tension on...
3. 1.25 points SerPSE10 5.C.OP051. 0/7 Submissions Used A force F(7.00i - 3.25t j) N, with t in units of s, is applied to a 2.00 kg object initially at rest. (a) At what time (in s) will the object be moving with a speed of 15.0 m/s? (Round your answer to at least two decimal places.) My N (b) How far (in m) is the object from its initial position when its speed is 15.0 m/s? (c) What is...
If F is a position dependent force given by F(x) = Ae-kx, where k is a positive constant, sketch the graphs showing F(t), v(t) and x(t) for v0 = 0 and x0 = 0. Show all salient points on your graphs and the behavior as x approaches infinity.