Question

A force F= (3.14t)i+ 6.28j + (1.57t^2)k N acts on a mass of 0.785 kg in...

A force F= (3.14t)i+ 6.28j + (1.57t^2)k N acts on a mass of 0.785 kg in space, with initial velocity v= 7.21i + 9.76j + 3.25k (m/s). At t = 1.71 s, (a) What are the magnitude and direction of the acceleration? (relative to +z axis) (b) What are the magnitude and direction of the velocity? (relative to +y axis) (c) What are the magnitude and direction of the displacement? (relative to +x axis) (d) The angle between the velocity and the acceleration vector.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 4.71 kg mass moving in space according to v= (6.00t2 - t)i + (15.0t2)j +(t3...
A 4.71 kg mass moving in space according to v= (6.00t2 - t)i + (15.0t2)j +(t3 + 3.14t)k (relative to the origin), with v in meter/second and t in seconds. At t= 1.57s (a) what are the magnitude and direction of the force acting on the mass (b) what is the angle between the acceleration and velocity vector (c) what is the average velocity? (d) What is the mass angular momentum relative to the origin? (e) What is the torque...
At time t = 0, force F→1=(-5.99î+8.78ĵ)N acts on an initially stationary particle of mass 1.80...
At time t = 0, force F→1=(-5.99î+8.78ĵ)N acts on an initially stationary particle of mass 1.80 × 10-3 kg and force F→2=(2.86î-3.46ĵ)N acts on an initially stationary particle of mass 3.68 × 10-3 kg. From time t = 0 to t = 2.97 ms, what are the (a) magnitude and (b) angle (relative to the positive direction of the x axis) of the displacement of the center of mass of the two-particle system? (c) What is the kinetic energy of...
A beam of protons (proton mass is 1.67 x 10 -​ 27 kg) moves at 3...
A beam of protons (proton mass is 1.67 x 10 -​ 27 kg) moves at 3 x 10 5​ m/s through a uniform magnetic field with magnitude 2 T. The magnetic field has exactly equal components along the positive ​y and negative ​x axes and no component along the ​z axis. The velocity of each proton lies in the ​xz-​ plane at an angle of 30 0​ ​to the​ z-​ axis. (a) Write the magnetic field ​B and the velocity...
A duck has a mass of 3.00 kg. As the duck paddles, a force of 0.130...
A duck has a mass of 3.00 kg. As the duck paddles, a force of 0.130 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.230 N in a direction of 52.0° south of east. When these forces begin to act, the velocity of the duck is 0.130 m/s in a direction due east. Find (a) the magnitude and (b) the direction (relative to due east) of the displacement...
A duck has a mass of 2.90 kg. As the duck paddles, a force of 0.120...
A duck has a mass of 2.90 kg. As the duck paddles, a force of 0.120 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.200 N in a direction of 50.0° south of east. When these forces begin to act, the velocity of the duck is 0.130 m/s in a direction due east. Find (a) the magnitude and (b) the direction (relative to due east) of the displacement...
A duck has a mass of 2.20 kg. As the duck paddles, a force of 0.120...
A duck has a mass of 2.20 kg. As the duck paddles, a force of 0.120 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.240 N in a direction of 53.0° south of east. When these forces begin to act, the velocity of the duck is 0.120 m/s in a direction due east. Find (a) the magnitude and (b) the direction (relative to due east) of the displacement...
Two forces, vector F 1 = (−6.95î − 2.25ĵ) N and vector F 2 = (−4.25î...
Two forces, vector F 1 = (−6.95î − 2.25ĵ) N and vector F 2 = (−4.25î − 7.05ĵ) N, act on a particle of mass 2.30 kg that is initially at rest at coordinates (+1.95 m, −4.20 m). (a) What are the components of the particle's velocity at t = 10.7 s? vector v = m/s (b) In what direction is the particle moving at t = 10.7 s? ° counterclockwise from the +x-axis (c) What displacement does the particle...
A 2.5-kg object moves across a rough horizontal surface. A force (F = 6.0 N) acts...
A 2.5-kg object moves across a rough horizontal surface. A force (F = 6.0 N) acts on the object as shown. The magnitude of the object’s acceleration is 1.2 m/s2. What is the magnitude of the force of friction acting on the block? The angle for the diagram is 30 degrees.
A uniform disk with mass m = 9.11 kg and radius R = 1.37 m lies...
A uniform disk with mass m = 9.11 kg and radius R = 1.37 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 319 N at the edge of the disk on the +x-axis, 2) a force 319 N at the edge of the disk on the –y-axis, and 3) a force 319 N acts at the edge of the disk at an angle θ =...
A uniform disk with mass m = 8.88 kg and radius R = 1.3 m lies...
A uniform disk with mass m = 8.88 kg and radius R = 1.3 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 334 N at the edge of the disk on the +x-axis, 2) a force 334 N at the edge of the disk on the –y-axis, and 3) a force 334 N acts at the edge of the disk at an angle θ =...