A rocket of M = 20 kg moves in a straight line upwards and explodes 50...

A rocket of M = 20 kg moves in a straight line upwards and explodes 50 meters above the ground, separating into two fragments that are launched horizontally. One of the fragments, with a mass equal to two-thirds of the mass of the rocket, falls ten meters from the launch point.
a) How far does the other fragment fall?
b) At what speed does the lightest fragment reach the ground?
c) If the explosion produces 300 J as heat, what total energy is released in the explosion?
Air resistance is not considered.

Expert Solution

genius_generous answered 2 years ago

A rocket is launched from rest and moves in a straight line at 65.0 degrees angle...

A rocket is launched from rest and moves in a straight line at 65.0 degrees angle above the horizontal with an acceleration of 42.0m/s square. After 32.0 s of powered flight, the engines shut off and the rocket follows a parabolic path back to Earth. Find the time of flight from launching to impact. What is the maximum altitude reached? What is the distance from launch pad to impactpoint? Ignore the variation in g with height

A model rocket is shot straight up and explodes at the top of its trajectory into...

A model rocket is shot straight up and explodes at the top of its trajectory into three pieces as viewed from above and shown in the figure below. The masses of the three pieces are mA = 125.0 g, mB = 20.0 g, and mC = 30.0 g. Immediately after the explosion, piece A is traveling at 1.40 m/s, and piece B is traveling at 6.90 m/s in a direction 30° below the negative x axis as shown. What is...

A sled with mass 100 kg moves in a straight line on a horizontal surface as...

A sled with mass 100 kg moves in a straight line on a horizontal surface as it is being pulled by a force 250 N at an angle of 35° with the direction of motion. A force of friction of 30 N acts on the sled. At one point in its path, its speed is 3.0 m/s; after it has traveled a distance d beyond this point, its speed is 8.0 m/s. Use the work-energy theorem to find the total...

A 1246 kg weather rocket accelerates upward at 11.7 m/s2. It explodes 1.6 s after liftoff...

A 1246 kg weather rocket accelerates upward at 11.7 m/s2. It explodes 1.6 s after liftoff and breaks into two fragments, one twice as massive as the other. Photos reveal that the lighter fragment traveled straight up and reached a maximum height of 571 m. What were the speed of the heavier fragment just after the explosion?

A rocket moves with a speed of 45 m / s. The rocket suddenly breaks into...

A rocket moves with a speed of 45 m / s. The rocket suddenly breaks into two parts of equal mass that fly at speeds v1 and v2. Obtain the magnitude of the velocity of each part in which the rocket broke.

A particle of mass M moves along a straight line with initial speed vi. A force...

A particle of mass M moves along a straight line with initial speed vi. A force of magnitude Fpushes the particle a distance D along the direction of its motion. A) Find vf, the final speed of the particle after it has traveled a distance D. Express the final speed in terms of vi, M, F, and D. B) By what multiplicative factor RK does the initial kinetic energy increase, and by what multiplicative factor RW does the work done...

A 1325 kg elevator starts from rest and moves upwards for 4 seconds with a constant...

A 1325 kg elevator starts from rest and moves upwards for 4 seconds with a constant acceleration until it reaches a speed of 2.1 m/s. After 4 seconds, the speed of the elevator remains constant. A) What is the average power of the elevator motor during the first 4 seconds? B) What is the average power of the elevator when t=9 seconds?

During a fireworks display, a 0.300-kg bottle rocket approaches the top of its trajectory and explodes...

During a fireworks display, a 0.300-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.200 kg and the second piece (Piece 2) has mass 0.100 kg. Immediately after the explosion, the first piece is observed traveling to the left at a speed of 4.20 m/s and the second piece is observed traveling at an angle θ = 32.0° above the horizon at a speed...

2. a. A particle moves in a straight line along with the ? − ???? its...

2. a. A particle moves in a straight line along with the ? − ???? its displacement is given by the equation ?(?) = 5? 3 − 8? 2 + 12? + 6,? ≥ 0, where ? is measured in seconds and s is measured in meters. Find: i. The velocity function of the particle at time ? (2marks) ii. The acceleration function of the particle at time t. (2marks) iii. The acceleration after 5 seconds (1marks) b. Find the...

A 1000 kg weather rocket is launched straight up. The rocket motor provides a constant acceleration...

A 1000 kg weather rocket is launched straight up. The rocket motor provides a constant acceleration for 16 s, then the motor stops. The rocket altitude 20 s after launch is 3600 m. You can ignore any effects of air resistance. What was the rocket's acceleration during the first 16 s?

Question