1. An object of 3.00 kg moves in the Cartesian plane with its coordinates (x, y) known as ? =5?^2 - 1 and ? = 3?^3 + 2 where x and y are in meters and t is in seconds. Determine the force acting in the object at t = 2.00 s.
2.Three forces acting on an object are provided by ?⃗1 = (-2.00? + 2.00?) ?, ?⃗2 = (5.00?-3.00?) ? and ?⃗3 = (-45.0?) ?. If the acceleration is 3.75 m /s2 ,determine
(a) the mass of the object and
(b) the distance that runs at 10 seconds, if it was at rest initially.
1. Given, and
and
So, acceleration in x direction = 10
acceleration in y direction = 18t
SO, net acceleration = 10i + 18tj Ans
2. Total force in x direction = -42i
total force in y direction = -1j
So net force = (42^2 + 1)^.5 = 42.01
So, net acceleration = 42.01/m = 3.75
m = 42.01/3.75 = 11.2 kg
distance s = 1/2at2 = 1/2x3.75x100 = 187.5 m
1. An object of 3.00 kg moves in the Cartesian plane with its coordinates (x, y)...
A 3.10-kg object is moving in a plane, with its x and y coordinates given by x = 8t2 − 2 and y = 2t3 + 5, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.55 s.
A 2.55-kg object is moving in a plane, with its x and y coordinates given by x = 6t2 − 2 and y = 2t3 + 6, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.95 s. N
A 3.05-kg object is moving in a plane, with its x and y coordinates given by x = 8t2 − 4 and y = 5t3 + 4, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 1.75 s.
An object moves along the y axis according to the equation y(t) = b + ct3, where b = 7.50 m, c = 3.50 m/s3, and y(t) will be in meters when t is entered in seconds. Determine the following. (a) average velocity of the object during the time interval t = 1.00 s to t = 3.00 s m/s (b) instantaneous velocity at the time t = 2.00 s m/s (c) acceleration of the object at the time t...
An object moves along the x axis according to the equation x 3.70t2 2.00t 3.00, where x is in meters and t is in seconds. (a) Determine the average speed betweent 2.90 s and t - 4.50 s. m/s b) Determine the instantaneous speed at t -2.90 s. m/s Determine the instantaneous speed at t 4.50 s. m/s (c) Determine the average acceleration between t-2.90 s and t 4.50 s. m/s2 (d) Determine the instantaneous acceleration at t 2.90 s...
An object moves along the x axis according to the equation x 2 .75p-2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t 2.50 s and t 4.10 s. m/s (b) Determine the instantaneous speed at t 2.50 s. m/s Determine the instantaneous speed at t- 4.10 s m/s (c) Determine the average acceleration between t 2.50 s and t-4.10s m/s? (d) Determine the instantaneous acceleration at t 2.50 s...
An object moves along the x axis according to the equation x = 2.60t2-2.00t + 3.00, where x is in meters and t is in seconds.
3. Consider an object that moves along a half-oval trajectory in the x -y plane with its coor e relationship a(x 1)2 + by2 30 and y > 0, where parameters a and b are unknown. (a) Suppose you are given a set of measured (x, y) coordinates of t the object in the table below. Use the least square regression to estimate the two parameters a andb (b) Based on your result in part (a), estimate the value of...
3. Three forces acting on an object have components as follows: Fsx = -2.00 N, F. = 2.00 N, F = 5.00 N, F2 = -3.00 N and Fyx = -45.0 N, F, = 0 N. The object experiences an acceleration of magnitude 3.75 m/s. a) What is the net force acting on the object b) What is the direction of the acceleration? c) What is the mass of the object?
An object moves along the x axis according to the equation x 3.102 2.00t 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t 2.40 s and t-4.20 s. The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s (b) Determine the instantaneous speed at t-2.40 s m/s Determine the instantaneous speed at t-4.20 s m/s (c) Determine the...