Problem #3: A particle travels across a at surface, moving due east for 4 m, then...

Problem #3:

A particle travels across a at surface, moving due east for 4 m, then due north for 9 m, and then returns to the origin. A force field acts on the particle, given by

F(x, y) = sin(x² + y²) i + ln(6 + xy) j

Find the work done on the particle by F.

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Object A is moving due east, while object B is moving due north. They collide and...

Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 16.4 kg and an initial velocity of = 8.40 m/s, due east. Object B, however, has a mass of mB = 28.2 kg and an initial velocity of = 5.43 m/s, due north. Find the (a) magnitude and (b) direction of the total momentum of the...

Object A is moving due east, while object B is moving due north. They collide and...

Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 17.0 kg and an initial velocity of v0A = 8.10 m/s, due east. Object B, however, has a mass of mB = 29.0 kg and an initial velocity of v0B = 5.20 m/s, due north. Find the magnitude of the final velocity of the two-object system...

A car moving due east at 6 m/s collides at the intersection with an identical car....

A car moving due east at 6 m/s collides at the intersection with an identical car. If the entangled wreckage moves at 5.5 m/s at 22 degrees north of east after the collision, what was the velocity and direction of the second car immediately before the collision? The entangled wreckage slides along the horizontal road leaving skid marks. If the coefficient of friction between the entangled wreckage and the road is 0.34, how long are the skid marks?

. On a horizontal, frictionless surface, a 9.00 kg object initially moving east at 4.00 m/s...

. On a horizontal, frictionless surface, a 9.00 kg object initially moving east at 4.00 m/s collides with a 3.00 kg object that was initially moving north at 10.0 m/s. After the collision, the three-kilogram object moves with a velocity o 12.00 m/s directed 32.0o north of east. (a) Calculate the velocity of the nine-kilogram object after the collision, and (b) determine by calculation the type of collision that occurred.

A proton moving at 40 m/s due East collides with another proton at rest. Assume the...

A proton moving at 40 m/s due East collides with another proton at rest. Assume the collision is elastic and glancing. After the collision, one proton moves 30◦ south of East. Find the magnitude an direction of the other proton after the glancing collision

A proton moving at 40 m/s due East collides with another proton at rest. Assume the...

Problem 1: The energy E of a particle of mass m moving at speed v is...

Problem 1: The energy E of a particle of mass m moving at speed v is given by: E2 = m2 c4 + p2 c2 (1) p=γmv (2) 1 γ = 1−v2/c2 (3) This means that if something is at rest, it’s energy is mc2. We can define a kinetic energy to be the difference between the total energy of an object given by equation (1) and the rest energy mc2. What would be the kinetic energy of a baseball...

Jack (mass 56.0 kg) is sliding due east with speed 8.00 m/s on the surface of...

Jack (mass 56.0 kg) is sliding due east with speed 8.00 m/s on the surface of a frozen pond. He collides with Jill (mass 44.0 kg ), who is initially at rest. After the collision, Jack is traveling at 5.00 m/s in a direction 34.0∘ north of east. Ignore friction. a) What is the direction of the Jill's velocity after the collision? b) What is the magnitude of the Jill's velocity after the collision?

Derive the equations for a particle moving near the surface of the earth, given by ?̈=...

Derive the equations for a particle moving near the surface of the earth, given by ?̈= 2? cos ? ?̇ ?̈= −2( cos ? ?̇ + ? sin ? ?̇) ?̈= −? + 2? sin ? ?̇ ? = v/r; v=velocity; r-radius where the earth’s rotational speed in the ?̂ direction is ?.

4. Hamiltonian equations of motion A particle of mass m moving in two dimensions has the...

4. Hamiltonian equations of motion A particle of mass m moving in two dimensions has the Hamiltonian H(x, y, px, py) = (px − cy) ^2 + (py + cx)^ 2 /2m where c is a constant. Find the equations of motion for x, y, px, py. Use these to write the equations of motion for the complex variables ζ = x + iy and ρ = px + ipy. Eliminate ρ to show that m¨ζ − 2ic ˙ζ =...

Subjects