Question

In: Physics

During launches, rockets often discard unneeded parts. A certain rocket starts from rest on the launch...

During launches, rockets often discard unneeded parts. A certain rocket starts from rest on the launch pad and accelerates upward at a steady 3.05 m/s^2 . When it is 260 m above the launch pad, it discards a used fuel canister by simply disconnecting it. Once it is disconnected, the only force acting on the canister is gravity (air resistance can be ignored).

A.   How high is the rocket when the canister hits the launch pad, assuming that the rocket does not change its acceleration?

B. What total distance did the canister travel between its release and its crash onto the launch pad? This includes the distance the canister travels while going up plus the distance it travels while falling back to the ground.

**** Please show work. Thanks!

Solutions

Expert Solution


Related Solutions

A rocket starts from the rest 100[m] above the ground and is launched such that it...
A rocket starts from the rest 100[m] above the ground and is launched such that it accelerates at a 30degree incline from the horizontal at a rate of 6.78[m/s^2]. If the wind resistance along the horizontal direction is 2.87[m/s^2], find the maximum elevation, range and flight time of the rocket.
A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration...
A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration of 2.10 m/s2 . At 30.0 s after blastoff, the engines suddenly fail, and the rocket begins free fall. What is the height of the rocket when the engine fails? Find the magnitudes of the rocket's velocity and acceleration at its highest point. How long after it was launched will the rocket fall back to the launch pad?
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.4 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1200 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a)...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.2 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1060 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a)...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.8 m/s at ground level. The engines then fire, and the rocket accelerates upward at 4.20 m/s2 until it reaches an altitude of 990 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of ❝9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a)...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.8 m/s at ground level. The engines then fire, and the rocket accelerates upward at 4.20 m/s2 until it reaches an altitude of 990 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a)...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.8 m/s at ground level. The engines then fire, and the rocket accelerates upward at 4.20 m/s2 until it reaches an altitude of 980 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of ?9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a)...
In the first stage of a two-stage rocket, the rocket is fired from the launch pad...
In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the rocket’s velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Air...
In the first stage of a two-stage rocket, the rocket is fired from the launch pad...
In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the rocket�s velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Air...
During a Tatooine speeder race, Dannik Jerriko starts from rest and accelerates constantly for a time...
During a Tatooine speeder race, Dannik Jerriko starts from rest and accelerates constantly for a time T, reaching a speed of 50 m/s. He then gives his engine to Garindan to use in his speeder, which (including the engine) is twice the mass of Dannik’s speeder. If Garindan also starts from rest and accelerates constantly, how fast will he be going after the same amount of time T?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT