A new generation of pogo sticks lets a rider bounce more than 2 meters off the ground by using elastic bands to store energy. When the pogo’s plunger hits the ground, the elastic bands stretch as the pogo and rider come to rest. At the low point of the bounce, the stretched bands start to contract, pushing out the plunger and launching the rider into the air. For a total mass of 80 kg (rider plus pogo), a stretch of 0.40 m launches a rider 2.0 m above the starting point. Assuming that the elastic bands stretch and store energy like a spring, how high would the 80 kg pogo and rider go for a stretch of 0.20 m?

Q: Problem 4: During an ice show, a 62.5-kg skater leaps into the air and is caught by an initially…

A: Mass (m1)= 62.5kg.      U1 = 3.8m/s Mass (m2) = 67.5kg.      U2= 0m/s

Q: a gun has a spring with a spring of spring constant k = 16 N/m which is used to fire a bolt of mass…

A: spring constant,  speed of bolt, compression of spring, weight of the bolt is is the mass of the…

Q: What is the average power exerted by the spring as it returns to its original length?

A:

Q: A new generation of pogo sticks lets a rider bounce more than 2 meters off the ground by using…

A: New generation of pogo sticks lets a rider bounce more than 2 meters off the ground by using elastic…

Q: A 15 g bullet traveling parallel to an inclined ramp strikes a 2.74 kg block of wood and becomes…

A:

Q: A 191 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 3.5 N/cm.…

A: here, mass of the block(m) = 191 g =0.191 Kg spring constant( k)= 3.5 N/cm = 3.5 * 102 N/m…

Q: In a railroad yard a 35,000 kg boxcar moving at 6.6 m/s is stopped by a spring-loaded bumper mounted…

A: When the car stops completely then all of its kinetic energy is stored as potential energy in the…

Q: A glider with mass mmm = 0.240 kgkg sits on a frictionless horizontal air track, connected to a…

A:

Q: A pogo stick has a spring with a force constant of 2.50 × 104 N/m , which can be compressed 10.4 cm.…

A: M= 38 kg  K= 2.5× 104 N/m  x= 10.4 cm = 0.104 m

Q: A 12.0 kg bowling ball (solid sphere) is rolling along a track at 2.7m/s. It then rolls up a ramp…

A:

Q: spring gun (spring constant k-42 N/m) is used to shoot a 30-g ball horizontally. Initially the…

A:

Q: A toad with mass of 188 g leaps into the air to catch a fly. If the toad's jump was at an angle of…

A: Given: Toad's mass, m=188 g=0.188 kg Toad's jumping angle w.r.t horizontal, θ=35° Initial velocity,…

Q: Miguel (m=80.0 kg) is competing in the state diving championship. He leaves the springboard from a…

A: Miguel's mass =80kgInitial height of Miguel=4m above the water surfaceInitial velocity u=6m/sTotal…

Q: The massless spring of a spring gun has a force constant k = 12 N/cm. When the gun is aimed…

A: Now, the spring's initial compression is computed as, We know mass m is 15 g Height, h is 5 m, Force…

Q: A 0.45 kg box approaches the ramp at an unknown velocity. It travels up the 0.04 meters high ramp…

A:

Q: At 11 m/s, a 66 kg pole vaulter vaults over the bar. Her top speed is 1.2 m/s while she's above the…

A:

Q: A projectile of mass m = 3.00 kg is launched with an initial velocity of 17.0 m/s at an angle of…

A: It is given that, the initial velocity of the projectile is v=17.0 m/s, the mass of it is m=3.0 kg,…

Q: A 200 g block on a frictionless surface is pushed against a spring with spring constant 500 N/m,…

A:

Q: 40-kg girl is bouncing on a trampoline. During a certain interval after leaving the surface of the…

A:

Q: In a circus act, a 60 kg clown is shot from a cannon with an initial velocity of 16 m/s at some…

A: Given,

Q: A 500 kg block is moving @ vo = 6.00 m/s along a frictionless Horizontal surface toward a spring…

A:

Q: A large spring with a spring constant of 15000 kg/sec2 is used to start a car on a roller coaster.…

A: The speed of the car when it leaves the spring is 12mv2=12kx2v=kx2m=15000 kg/s22.0 m21500 kg=6.32…

Q: At 11 m/s, a 66 kg pole vaulter vaults over the bar. Her top speed is 1.2 m/s while she's above the…

A: Given: Initial Velocity (Vi ) = 11 m/s  Final Velocity (Vf) = 1.2 m/s

Q: 7) A 12 kg box is at rest at the top of a ramp (point A). The length of the ramp is 8.0 m long, and…

A:

Q: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…

A:

Q: An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is…

A: Given,Mass of the Amazon package (m): 2 kgHeight of the ramp (h): 4 mInclined angle of the ramp ():…

Q: A stone of mass 80 g is dropped onto an unstrained vertical spring with a spring constant k = 0.8…

A:

Q: A 2.0 kg block is pressed up against a spring (k = 44 N/m) that is attached to a wall as shown.  The…

A: Let the initial and the final velocity of the block of mass m be v1 and v2. Suppose the potential…

Q: A toad with mass of 180 g leaps into the air to catch a fly. If the toad's jump was at an angle of…

A:

Q: A block is dropped onto a spring with k = 34 N////m. The block has a speed of 3.0 m/s just before it…

A:

Q: Part 1. A 3 kg package of tamales (see the figure below) slides along a floor with speed v1 = 5 m/s.…

A:

Q: A 5.2 × 105 kg train is brought to a halt from a speed of 0.65 m/s in 0.45 m by a large spring…

A: Mass of train: M = 5.2 × 105 kgInitial velocity: u = 0.65 m/sSpring compression: x = 0.45 m

Q: A horizontal spring attached to a wall has a force constant of k = 850 N/m. A block of mass m = 1.00…

A:

Q: Consider a light spring with k= 500 N/m that has been compressed 6 cm and placed horizontally on a…

A:

Q: A 5.8 × 105 kg train is brought to a stop from a speed of 0.85 m/s in 0.57 m by a large spring…

A: If the spring gets compressed by a distance of ‘x’ and its force constant is k, its elastic…

Q: A small glider is placed against a compressed spring at the bottom of an air track that slopes…

A: Have a look dear

Q: The spring in the muzzle of a child’s spring gun has a spring constant of 700 N/m.To shoot a ball…

A:

Q: For its size, the commonflea is one of the most accomplished jumpers in the animal world.A…

A: Given Mass of the flea (m) = 0.5 mg = 0.5×10-6 kg Length of the flea (L) = 2 mm = 2×10-3 m Height of…

Q: A 3.00 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Step 1:Step 2

Q: Blocks 1 and 2, with masses m₁ and m2, are placed on a frictionless, horizontal table with an ideal…

A:

Q: In the figure below the block has m = 3.0 kg and the spring has k = 350 N/m. If the block, initially…

A: Given data:  Mass (m) = 3.0 kg Spring constant (k) = 350 N/m Height (h) = 0.8 m Acceleration due to…

Q: A 2.0 kg block is pressed up against a spring (k = 44 N/m) that is attached to a wall as shown.  The…

A: mass=2Kg initial potential energy= Total energy= 1.2 J spring constant= 44N/m

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.