A 3.05-kg object is moving in a plane, with its x and y coordinates given by...
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.
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A 3.05-kg object is moving in a plane, with its x and
y coordinates given by...
A 3.10-kg object is moving in a plane, with its x and y coordinates given by...
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...
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
1. An object of 3.00 kg moves in the Cartesian plane with its coordinates (x, y)...
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...
An object is moving in the X-Y plane. At time t_1 the direction of its velocity,...
An object is moving in the X-Y plane. At time t_1 the direction of its velocity, v and acceleration, a are: Direction of v is in the negative X direction Direction of a is in the positive Y direction At time t_1, the magnitude of the velocity of the object is _____. Select increasing, decreasing or constant. A. increasing B. decreasing C. constant At time t, the direction of the velocity of the object is _____. Select changing or not...
An object is moving in the X-Y plane. At time t1 the direction of its velocity,...
An object is moving in the X-Y plane. At time t1 the direction of its velocity, v and acceleration, a are: Direction of v is in the positive X direction Direction of a is in the negative Y direction At time t1, the magnitude of the velocity of the object is _______. Select increasing, decreasing or constant. At time t1, the direction of the velocity of the object is _______. Select changing or not changing. At time t1, the direction...
(a) The velocity of a particle moving in the x - y plane is given by...
(a) The velocity of a particle moving in the x - y plane is given by ☺ = ((-3.2t+ 9.6 t)i + (2.4t + 4.0)j) m/s, where v is in meters per second and t in seconds. The particle is at the origin of the coordinate system at t = 0 s. i. Determine the magnitude of the acceleration of the particle at t = 2.5 s. ANS: ii. Determine the position of the particle at t = 2.5 s....
A force acting on a particle moving in the x-y plane is given by F=2yi+x^2j N. The particle...
A force acting on a particle moving in the x-y plane is given by F=2yi+x^2j N, where x and y are in meters. The particle moves from the origin to a final position having the coordinates x=5 m and y=5 m and shown in the figure above. Calculate the work done by F along (a) OAC, (b) OBC, and (c) OC. (d) Is F a conservative or non-conservative force? Explain?
The position of an object moving along an x axis is given by x = 3.03...
The position of an object moving along an x axis is given by x = 3.03 t - 4.04 t2 + 1.08 t3, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t...
A force acting on a particle in the xy plane at coordinates (x, y) is given...
A force acting on a particle in the xy plane at coordinates (x, y) is given by vector F = (F_0/r) (y hat i - x hat j), where F_0 is a positive constant and r is the distance of the particle from the origin. Show that the magnitude of this force is F_0. Show that the direction of vector F is perpendicular to vector r = x hat i + y hat j.
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
An object is moving in the X-Y plane. At time t_1 the direction of its velocity, v and acceleration, a are: Direction of v is in the negative X direction Direction of a is in the positive Y direction At time t_1, the magnitude of the velocity of the object is _____. Select increasing, decreasing or constant. A. increasing B. decreasing C. constant At time t, the direction of the velocity of the object is _____. Select changing or not...
(a) The velocity of a particle moving in the x - y plane is given by ☺ = ((-3.2t+ 9.6 t)i + (2.4t + 4.0)j) m/s, where v is in meters per second and t in seconds. The particle is at the origin of the coordinate system at t = 0 s. i. Determine the magnitude of the acceleration of the particle at t = 2.5 s. ANS: ii. Determine the position of the particle at t = 2.5 s....
A force acting on a particle in the xy plane at coordinates (x, y) is given by vector F = (F_0/r) (y hat i - x hat j), where F_0 is a positive constant and r is the distance of the particle from the origin. Show that the magnitude of this force is F_0. Show that the direction of vector F is perpendicular to vector r = x hat i + y hat j.
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
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