Ferns that eject spores generally do so in pairs, with two spores flying off in opposite directions. The structure from which the spores are launched is quite lightweight. If it takes a certain amount of energy to eject each spore, explain how launching the spores in pairs provides for the greatest initial launch speed for each spore.

Q: A bride tosses a bouquet of flower through the air with a speed of 2.4 m/s, and it smacks one of her…

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Q: The first car has twice the mass of a second car, but only half as much kinetic energy. When both…

A: Let , The first car mass = m1 second car mass = m2 Kinetic energy of 1st car = K1 Kinetic energy of…

Q: You are holding a 1 kg rock and standing at the top of a cliff. You drop the rock off the cliff and…

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Q: You drop a ball from a height of 1.9 m , and it bounces back to a height of 1.4 m . What fraction of…

A: height = 1.9 mheight = 1.4 mWhat fraction of its initial energy is lost during the bounce?What is…

Q: Consider a situation where you carry a 20-N box up a flight of stairs, raising its elevation by 5 m.…

A: Write the given values with the suitable variables. W=20 Nh=5 m Here, W is the weight of the box and…

Q: Solve the following question using the concepts of work and energy: A giant alien invader is…

A: Givend=100 mv=26 m/sm=6.32×104 kgf=2.43×105 Nkinetic energy of alien,E=12mv2  =12×6.32×104 kg×262…

Q: A projectile is launched at a very high wall 22 meters from the launching point. The launch angle is…

A: The projectile motion is the motion undergone by an object thrown at an angle with respect to the…

Q: Ship 1 has a mass of 6.50 × 104 kg and a ship 2 is twice as massive. Both have engines that generate…

A: Given Mass of ship1 = 6.50 × 104 kg Mass of ship 2 = 2 × 6.50 × 104 kg Engine force of 9.50 × 106…

Q: A helicopter, starting from rest, accelerates straight up from the roof of a hospital. The lifting…

A: Given:            m = 800 kg            v   = 7.5 m/s            h  = 8.7 m            t   =  4 s…

Q: A helicopter, starting from rest, accelerates straight up from the roof of a hospital. The lifting…

A: The answer is below

Q: A hockey puck is at the top of a 10 m long slippery slope, that makes an angle of 30° to the…

A: h= 10 m v= 5 m/s First, find the verticle height  H= h sin θH=10 sin 30H =5 m   For the conservation…

Q: A ball of mass 2.12 kg is tied to a string of length 4.15 m as shown in Figure P6.50. The ball is…

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Q: Same set-up for the conservation of energy was performed. The 5-g marble covered a horizontal…

A:

Q: A helicopter, starting from rest, accelerates straight up from the roof of a hospital. The lifting…

A: Given that: The mass of the helicopter is m=710 kg The initial velocity is u=0 m/s The final…

Q: During an investigation of kinetic energy, a student was measuring the speed of an object using…

A:

Q: Consider a roller coaster that moves along the track shown in the figure below. Assume all friction…

A:

Q: Same set-up for the conservation of energy was performed. The 5-g marble covered a horizontal…

A: Given: mass of the marble: m=5 g=0.005 kg Elevation of ramp: h=15 cm=0.15 m Horizontal distance…

Q: At an amusement park, a swimmer uses a water slide to enter the main pool. If the swimmer starts at…

A: Given Data :initial speed u = 0 msinitial height hi  = 2.55 mlet v denotes the speed at the bottom…

Q: throw a ball vertically upward. When you let go of the ball, it has a kinetic energy K0 (assume the…

A: Kinetic energy = (1/2)mv2

Q: You want to estimate the release speed of an arrow (which you have measured to have a mass of M =…

A:

Q: A projectile is launched at a very high wall 22 meters from the launching point. The launch angle is…

A: A) First, note that the projectile experiences g, the downwards gravitational acceleration along y…

Q: The drawing shows a bowling ball suspended from the ceiling of a classroom by a strong cord. The…

A: The problem can be understood using the conservation of energy theorem.

Q: A 68.5-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.7 m/s.…

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Q: A ball is tossed straight up into the air. Using conservation of energy, write down the equation…

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Q: Imagine that you drop a brick on the ground and it lands witha thud. Apparently the energy of this…

A: When a brick is dropped on the ground, it has some kinetic energy.

Q: Timmy is sat down in class, looking around the room. He notices a water bottle on a desk next to him…

A: Kinetic energy is defined as the energy a body has through motion or the force of a moving object.…

Q: A 0.75 kg rocket in a fireworks display is launched from rest and follows an erratic flight path to…

A:

Q: A 108 kg man is skiing across level ground at a speed of 9.5 m/s when he comes to the small slope…

A: Mass of man (m) = 108 kg Initial speed (u) = 9.5 m/s Height of final level above the ground (h) =…

Q: Same set-up for the conservation of energy was performed. The 5-g marble covered a horizontal…

A:

Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.