Exam 8: Systems of Particles and Conservation of Linear Momentum

Two masses M and 5M rest on a horizontal frictionless table with a compressed spring of negligible mass between them.When the spring is released,the energy of the spring is shared between the two masses in such a way that

An 1810-kg truck traveling eastward at 64.4 km/h collides at an intersection with a 905-kg automobile traveling northward at 96.5 km/h.The vehicles lock together and immediately after the collision are headed in which direction?

In a center-of-mass reference frame,

Instead of a ballistic pendulum we could use a system where the bullet (mass = m)is fired into a block (mass = M)that is coupled to an uncompressed spring (with spring constant k).The speed of the bullet,v,can be found by measuring the maximum distance,d,of compression of the spring.In this situation the initial speed of the bullet is given by:

If a body moves in such a way that its linear momentum is constant,then

An automatic rifle fires 0.040-kg projectiles at a speed of 800 m/s.If the gunner holding the rifle in her hands can exert an average force of 160 N against the gun,the maximum number of projectiles she can fire in one minute is

A Saturn V rocket with an initial mass m₀ of 3 $\times$ 10⁶ kg has a payload that accounts for 27% of this mass,a burn rate of 15 $\times$ 10³ kg/s,and a thrust F_th of 35 $\times$ 10⁶ N.The final speed of the rocket is

You shoot an arrow with a mass of 0.54 kg from a bow.The bow exerts a force of 125 N for 0.65 s.The speed of the arrow as it leaves the bow is

A bullet with a mass of 20 g and a speed of 960 m/s strikes a block of wood of mass 4.5 kg resting on a horizontal surface.The bullet gets embedded in the block.The speed of the block immediately after the collision

A Saturn V rocket with an initial mass m₀ of 3 $\times$ 10⁶ kg has a payload that accounts for 27% of this mass,a burn rate of 15 $\times$ 10³ kg/s,and a thrust F_th of 35 $\times$ 10⁶ N.The acceleration at burnout is

A helium atom (mass = 4m)moving with speed collides elastically with a deuterium (hydrogen 2 )atom (mass = 2m)at rest.Calculate the percentage change in the kinetic energy of the helium atom after the collision.

The force exerted on a body of mass 10 kg varies with time according to where the units are SI.If the velocity of the body was zero at t = 0,its velocity at t = 5 s is

Calculate the impulse by the force,as shown in the figure below.

A block of wood with a mass M = 4.65 kg is resting on a horizontal surface when a bullet with a mass m = 18 g and moving with a speed v = 725 m/s strikes it.The coefficient of friction between the block and the surface is µ = 0.35.The distance the block moves across the surface is

A mass m₁ = 2.5 kg is connected to another mass m₂ = 4.0 kg by a compressed spring.Both masses are at rest on a frictionless surface.When the spring is released,the masses are pushed apart and a total energy of 16.8 J is given to the two masses.The speed of mass m₁ is

Two balls of equal mass are thrown against a massive wall with equal velocities.The first rebounds with a speed equal to its striking speed,and the second sticks to the wall.The impulse that the first ball transmits to the wall,relative to the second,is

A boy and girl on ice skates face each other.The girl has a mass of 20 kg and the boy has a mass of 30 kg.The boy pushes the girl backward at a speed of 3.0 m/s.As a result of the push,the speed of the boy is

For a system consisting of two particles that undergo an elastic collision,

Five billiard balls are in contact and at rest on a wire that passes through their centers.Two billiard balls are slammed into one end of the row of five at a velocity .If the balls are free to slide but not roll and if the collision is elastic,which of the following is most likely to take place?

The SI units of momentum are