# Physics

An object with total mass mtotal = 15.8 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.5 kg moves up and to the left at an angle of θ1 = 18° above the –x axis with a speed of v1 = 27.6 m/s. A second piece with mass m2 = 5.4 kg moves down and to the right an angle of θ2 = 23° to the right of the -y axis at a speed of v2 = 21.5 m/s.

a. What is the magnitude of the final momentum of the system (all three pieces)?

b. What is the mass of the third piece?

c. What is the x-component of the velocity of the third piece?

d. What is the y-component of the velocity of the third piece?

e. What is the magnitude of the velocity of the center of mass of the pieces after the collision?

f. Calculate the increase in kinetic energy of the pieces during the explosion.

1. 👍 0
2. 👎 0
3. 👁 1,376
1. you should try to do it by yourself before posting all the question

1. 👍 0
2. 👎 7
2. (a) 0 kg*m/s

(b) (15.8 - 4.5 - 5.4)kg
= 5.9 kg

(c) 0 = [4.5*27.6*cos162º + 5.4*21.5*cos293º + 5.9*V*cosΘ3] kg·m/s
for V in m/s

horizontal component V*cosΘ3 = 72.8/5.9 m/s
= 12.3 m/s

(d) 0 = [4.5*27.6*sin162º + 5.4*21.5*sin293º + 5.9*V*sinΘ3] kg·m/s
for V in m/s

vertical component V*sinΘ3 = 68.4/5.9 m/s
= 11.6 m/s

(e) 0 m/s

(f) 0.5 * [4.5*27.6² + 5.4*21.5² + 5.9*(12.3² + 11.6²)] J
= 3810 J

1. 👍 2
2. 👎 0

## Similar Questions

1. ### Physics

An object of mass 1.00 kg is attached to a vertical spring with spring constant 100 N/m. The object is held at rest in a position such that the spring is stretched upward a distance 1.00 cm beyond its undisturbed length. If the

2. ### phy

Review. An object with a mass of m 5 5.10 kg is attached to the free end of a light string wrapped around a reel of radius R 5 0.250 m and mass M 5 3.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the

3. ### Physics

A shopper in a supermarket pushes a loaded 32 kg cart with a horizontal force of 12 N. How far will the cart move in 3.5 s if the shopper places an 85 N child in the cart before pushing? I don't know how I can add the 85 N to the

4. ### Physics

Two objects are moving in the xy-plane. Object A has a mass of 3.2 kg and has a velocity of Va= (2.3 m/s)i + (4.2m/s)j and object B has a mass of 2.9 kg and has a velocity of Vb= (-1.8m/s)i + (2.7m/s)j. What is the total momentum

1. ### physics

Three forces acting on an object are given by F1 = ( - 1.85i + 2.50j) N, F2 = ( - 5.10i + 3.25j ) N, and F3 = ( - 45.0i + 48.0j ) N. The object experiences an acceleration of magnitude 3.75 m/s2. (a) What is the direction of the

2. ### physic

An object of mass m is at rest at the top of a smooth slope of height h and length L. The coefficient of kinetic friction between the object and the surface, μk, is small enough that the object will slide down the slope if given

3. ### Physics Fluids

When a crown of mass 14.7 kg is submerged in water, an accurate scale reads only 13.4 kg. Is the crown made of real gold? Ok How do I do this problem I set up my free body diagram Net Force = ma = 0= Ft + Fb - Fg were Ft is the

4. ### physics

2) Two objects, A and B, initially at rest, are "exploded" apart by the release of a coiled spring that was compressed between them. As they move apart, the velocity of object A is 5 m/s and the velocity of object B is -2 m/s.

1. ### Physics

Two objects of different mass start from rest, are pulled by the same magnitude net force, and are moved through the same distance. The work done on object A is 500J. After the force pulled each object, object A moves twice as

2. ### physics! Need help badly

A 4.65 kg object is released from rest while fully submerged in a liquid. The liquid displaced by the submerged object has a mass of 2.60 kg. How far and in what direction does the object move in 0.300 s, assuming that it moves

3. ### physics

One object is at rest and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together and move off with shared velocity. The speed of the object that is moving

4. ### Science

24. What does the thermal energy of an object depend upon? A. The temperature and arrangement of the particles in that object. B. The temperature, weight, and number of particles of that object. **** C. The heat of that object and