6. The maximum speed of a child on a swing is 4.9 m/s. The child is 0.70 m above the ground at the lowest point of their motion. How high above the ground are they when they stop moving? Neglect friction.
Q: 2. A 50 gram pendulum bob swings back and forth. At the bottom of its swing, it is traveling at 3.4…
A: This is an example of applying Law of Conservation of Energy and oscillatory motion.
Q: 7. A horizontal spring with spring constant 85 N/m extends outward from a wall just above floor…
A: spring constant k=85 N/m mass of horizontal spring m=7.5 kg distance x=3.5 cm mass of sprinter m=…
Q: 3. A ball with mass of 300 g is held on top of a vertical spring that has been compressed by 10 cm.…
A:
Q: 7. If the 60-kg skier passes point A with a speed of 6 m/s, determine her speed when she reaches…
A:
Q: 11. A child swings on a swing so that her body is located 2.4 m above the ground at the highest…
A:
Q: 1. A chain of length 0.7 m is at rest over two slopes, as shown in figure. First, assume there is no…
A: Given:- The length of the chain is L = 0.7 m if there is no friction between the plane and the…
Q: 11. A roller coaster starts at the top of its track at point A with a speed of 12 m/s. If it reaches…
A: At point A and B we have to apply conservation of energy principle. Let the reference point be B.…
Q: It takes 500 J of work to compress a spring 10 cm. What is the force constant of the spring?
A: Given that-Work done is 500 JCompression in the spring is 10 cmWork done by a force along the path…
Q: A 1500 kg car is approaching the hill at 10 m/s when it runs out of gas. What is the car's speed…
A: Write the mass of the car. m=1500 kg Write the initial velocity of the car during approaching…
Q: 5. An elevator has mass of 600 kg, not including passengers The elevator is designed to ascend at…
A:
Q: 36.) When a 2.0 kg science textbook is sitting on a table that is 2.0 meters above the floor, how…
A: It is given that,
Q: 1. Where would the cyclist coasting down the hill have his maximum kinetic energy? В
A: When the effect of friction and the air resistance on the cyclist is considered negligible, his…
Q: 5. A force F = Ax² is applied to an object of mass m at the top of the ramp from x = 0 to x = d as…
A:
Q: A box of mass 4.0 kg hangs by a cable from the ceiling of an elevator. The elevator is moving up at…
A: Given : m = 4 kg v = 5 m/s h = 8 m g = 10 m/s2
Q: 8. A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x0.…
A: Solution:- Determine the function y at x =2.36 m.…
Q: A 0.5 kg block slides along a horizontal frictionless surface at 2m/s. It is brought to rest by…
A: Given data, Mass of block m = 0.5 kg. Speed of block v = 2 m/s. Spring constant K = 800 N/m.
Q: 5. A basket of fruits which is on the top of a 1.5m high table has a PE of 44J. What is the mass of…
A:
Q: 1. A particle of mass 2.5 kg moves under the influence of a force: F(x) = (-5x² +7x) N If its speed…
A: Given that: The force is F=-5x2+7x N The final distance is x=-3.9 m The mass is 2.5 kg. it is…
Q: 2. Determine the potential and kinetic energy for each position. (100 meters, 30 meters, 60 meters,…
A: At 100 m KE = 0 PE = 35000 J = m×10×100 m = 35 kg Now, At 30 m PE = 35×10×30 = 10500 J KE =…
Q: A loop-the-loop vehicle in an amusement park is traveling on a frictionless track that can make a…
A: Let R denotes the radius of the circular track, m denotes the mass of the vehicle, and v denotes the…
Q: If the ball can reach a maximum height of 0.75 meters, what will be the velocity of the ball when it…
A: Given: The maximum height reached is 0.75 m. The height of the above the ground is 0.20 m.
Q: 4. Below is the potential energy versus position graph for a particle (mass = 500 g). At one instant…
A:
Q: 2. A 3.0 kg particle is pushed with a force given below. If its speed at x = 2 m is 1.70 m/s what is…
A: work done between x=2 m to x =4m can be simply found by finding the area of given graph between…
Q: arts his swing from rest ove the bottom of his ion exceeds T = 950 N. Does the vine break? If the…
A: Tarzan whose weight W = 688 N The length of the vine L = 18 m The height of h = 3.2 m The vine…
Q: 1.) A car accelerates from rest with a constant acceleration of 3 ?/?2 over a distance of 10 meters.…
A: The force acting on the car is given by, F=ma Here, m is the mass of the car and a is the…
Q: As a 1.6x104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down.…
A: To solve the given problem, we will use the conservation of energy.
Q: A 30.00 kg box slides up a 12.00 meter long incline at an angle of 30.00 degrees above the…
A: Given, mass of the box, m = 30.00 kg length of the inclined plane, L = 12.00 m angle of inclination…
Q: A 97-g cup falls from a kitchen she ters on the ceramic tile floor. Assume that the maximum kinetic…
A: Given Mass m = 97 g = 97 × 10-3 kg Kinetic energy = 2.6 J
Q: 13. A 4.50-kg child is swinging on a swing. If she is released from rest at a point 1.45 m above the…
A:
Q: A 6 kg rock is held against a vertical spring which has a spring constant of 200 N/m. The spring is…
A: Here, 12kx2=mgh
Q: 5. Referring to potential energy vs position graph below... U (J) 80 60 40 20 0 0 5 10 15 20 x (m)…
A:
Q: A 75 kg skier starts with an initial speed of 2 m/s down a 40 m high ramp. They launch off a ramp…
A:
Q: 3.0 kg A- 400 Nim A 3 kg block placed top of a 3.4 m high frictionless incline. At the bottom of the…
A: Given that, mass of the block m= 3kg Height of the incline h=3.4 m Spring constant k = 51 N/m g= 10…
Q: A 10.0 kg crate is resting on a horizontal plank. The coefficient of static friction is 0.50 and the…
A:
Q: 2. The spring shown below has k=140N/m. A .5kg block is places against the spring compressing it 11…
A:
Q: A 1200 kg car can accelerate from 30.0 m/s to 50.0 m/s in 10.0 s. Neglecting friction and air…
A: Given: The mass of the car is 1200 kg. The initial speed of the car is 30 m/s. The final speed of…
Q: 2. A car with an initial velocity of 36 km/h accelerates at 54 km/h² for 3600 s. By which factor…
A:
Q: A 2100 kg car starts from rest at the top of a driveway that is sloped at an angle of 20° with the…
A: Given data: Mass of the car, m=2100 kg Angle, θ=20° Energy lost, ΔE=20×103 J Speed of the car at the…
Q: A spring with a spring constant of 650 N/m is compressed a distance of 0.35 m from its equilibrium…
A:
Q: A trapeze artist, starting from rest, swings freely on a trapeze of length 5.2 m. If the initial…
A: Given data: Initial velocity (v0) = 0 m/s Length (L) = 5.2 m Angle (θ) = 47° Required: Speed at the…
Q: 5. A child slides down a slide with a 29° incline, and at the bottom her speed is precisely…
A:
Q: 4. If the work required to stretch a spring 0.25?? beyond its natural length is 12 ?? − ??, how much…
A: We know that work required to be done to stretch a spring by x from it's natural length is given by…
Q: 2. A 35 kg child is riding on a swing. At her highest point she is 1.8 m above the ground, at her…
A: Write the given values with the suitable variables. m=35 kgh1=1.8 mh2=0.5 m Here, m is the mass, h1…
Q: Tarzan grabs a vine hanging vertically from a tall tree when he is running at 8.7 m/s. How high can…
A:
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