An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of...

An unstable nucleus of mass 1.7 ✕ 10⁻²⁶ kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of

m₁ = 1.8 ✕ 10⁻²⁷ kg,

moves in the positive y-direction with speed

v₁ = 5.4 ✕ 10⁶ m/s.

Another particle, of mass

m₂ = 8.0 ✕ 10⁻²⁷ kg,

moves in the positive x-direction with speed

v₂ = 3.2 ✕ 10⁶ m/s.

Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of...

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg, moves in the positive y-direction with speed v1 = 5.8 ✕ 106 m/s. Another particle, of mass m2 = 9.0 ✕ 10−27 kg, moves in the positive x-direction with speed v2 = 3.8 ✕ 106 m/s. Find the magnitude and direction of the velocity of...

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of...

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg, moves in the positive y-direction with speed v1 = 5.4 ✕ 106 m/s. Another particle, of mass m2 = 7.0 ✕ 10−27 kg, moves in the positive x-direction with speed v2 = 3.6 ✕ 106 m/s. Find the magnitude and direction of the velocity of...

An unstable nucleus with a mass of 16.3 × 10−27 kg initially at rest disintegrates into...

An unstable nucleus with a mass of 16.3 × 10−27 kg initially at rest disintegrates into three particles. One of the particles, of mass 4.9 × 10−27 kg, moves along the positive yaxis with a speed of 4.5 × 106 m/s. Another particle, of mass 8.7 × 10−27 kg, moves along the positive x-axis with a speed of 3.4 × 106 m/s. a) Find the speed of the third particle. Answer in units of m/s. b) At what angle does...

An unstable nucleus with a mass of 16.3 × 10−27 kg initially at rest disintegrates into...

An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest....

An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.976c and −0.862c, respectively. Find the masses of the fragments. (Hint: Conserve both mass–energy and momentum.) m(0.976c) = kg m(-0.862c) =kg

An unstable particle with a mass equal to 3.34x10^-27 kg is initially at rest. The particle...

An unstable particle with a mass equal to 3.34x10^-27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.981c and -0.863c, respectively. Find the masses of the fragments. (Hint: Conserve both mass-energy and momentum.) m = 0.981c = _______kg m = -0.863c = ______kg

(a) An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at...

(a) An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.977c and −0.851c, respectively. Find the masses of the fragments. (Hint: Conserve both mass–energy and momentum.) m(0.977c) = kg m(-0.851c) = kg (b) An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 4.00 ✕ 10−28 kg and that...

A ball with a mass of 0.615 kg is initially at rest. It is struck by...

A ball with a mass of 0.615 kg is initially at rest. It is struck by a second ball having a mass of 0.380 kg , initially moving with a velocity of 0.260 m/s toward the right along the x axis. After the collision, the 0.380 kg ball has a velocity of 0.230 m/s at an angle of 37.4 ∘ above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface. What is the magnitude...

A block of mass m1 = 1 kg is initially at rest at the top of...

A block of mass m1 = 1 kg is initially at rest at the top of an h1 = 1 meter high ramp, see Fig. 2 below. It slides down the frictionless ramp and collides elastically with a block of unknown mass m2, which is initially at rest. After colliding with m2, mass m1 recoils and achieves a maximum height of only h2 = 0.33 m going back up the frictionless ramp. (HINT: Solving each part in sequence will guide...

A neutron collides elastically with a helium nucleus (at rest initially) whose mass is four times...

A neutron collides elastically with a helium nucleus (at rest initially) whose mass is four times that of the neutron. The helium nucleus is observed to move off at an angle θ′2=45∘. The neutron's initial speed is 6.6×105 m/s . the angle of the neutron after the collision: 76 below the initial direction of the neutron Determine the speeds of the two particles, v′n and v′He, after the collision.

Subjects