t with a velocity of 3 m/s. The cart is initially at rest and can roll freely. Determine (a) the final velocity of the cart, (b) the impulse exerted by the cart on the package, (c) the fraction of the initial energy lost in the impact.

Q: A 0.8 kg collar is released from rest in the position shown, slides down the inclined rod with…

A: Given: The mass of collar, m = 0.8 kg The maximum deflection of spring, x = 0.125 m The spring…

Q: A 30 kg box with a height of 0.230 meters is on top of a 0.5-meter-high table and is initially at…

A: Given dataMass of box mb = 30kgHeight of the box h = 0.230mHeight of the box where it is places H =…

Q: 1. Two discs sliding on a frictionless horizontal plane with opposite speeds of the same magnitude…

A:

Q: A toy rocket of mass 1 kg is placed on a frictionless horizontal surface at rest. Then the rocket…

A:

Q: A toy rocket of mass 1 kg is placed on a frictionless horizontal surface at rest. Then the rocket…

A: Find the speed of rocket at time 0.5 seconds Mass of rocket = 1 kg

Q: Q4. A 400-kg car (car A) traveling at 20 m/s overtakes a 800-kg car (car B) traveling at 10 m/s in…

A:

Q: AL (a) (b)

A: Given-Data:- Entire potential energy converted to elastic energy Mass(m)=5kg Spring constant…

Q: Two equal-length springs are "nested" together in order to form a shock absorber. If it is designed…

A:

Q: Initially at rest, A Mitsubishi Pajero and a Toyota Vios are connected by a tow cable. The winch on…

A: Given: MA = 2.5 Mg MB = 1.25 Mg Vrel = 2m/s L = 5 m

Q: COC0

A: Given data: Mass of boxes, m=5 kg Height of the boxes above the uncompressed spring, h=0.85 m…

Q: A 30-g bullet is fired with a horizontal velocity of 450 m/s and becomes embedded in block B , which…

A: GIVEN :- Mass of the bullet, m = 30 g The horizontal velocity of the bullet, u = 450 m/s Mass of…

Q: 4. A 750 kg hammer is used to drive a 2500 kg pile into some loosely packed sand. The hammer is…

A: mH= 750kg, mp= 2500kgv2= u2+2as0  = u2- 2×9.81×2.5 u= 7.003m/secwhere u is the velocity of hammer…

Q: Q8. The 0.8-kg ball is connected to a rigid rod with negligible mass. It is released from rest at…

A: Given: m = 0.8 kg b = 0.8 m To find: potential energy of ball when rod is vertical

Q: Part A The crate, having a weight of 58 lb, is hoisted by the pulley system and motor M. The crate…

A:

Q: A heavy chain with a mass per unit length of 5.6 kg/m is pulled by the constant force P = 85 N along…

A: linear density of mass, ρL=5.6 kg/mConstant force, P=85 NCoefficient of kinetic friction, μk=0.53

Q: A vehicle with a mass of 1500 kg begins its ascent from rest up a hill with an inclination…

A:

Q: A 750 kg hammer is used to drive a 2500 kg pile into some loosely packed sand. The hammer is…

A: Given data: The mass of the hammer is mh = 750 kg. The mass of the pile is mp = 2500 kg. The height…

Q: A 35 000-Mg ocean liner has an initial velocity of 4 km/h. Neglecting the frictional resistance of…

A: Given data Mass of the ocean liner, m = 35 000 Mg. The initial velocity of the ocean liner, vo = 4…

Q: A 5-kg collar slides from A to B along a frictionless vertical rod as shown. The spring attached to…

A: The mass of the collar is m=5 kg. The spring constant is k=30 N/m The undeformed length of the…

Q: At an amusement park there are 200-kg bumper cars A, B, and C that have riders with masses of 45 kg,…

A:

Q: A 5.0-kg ball rolls without sliding from rest down an inclined plane. A 4.0- kg block, mounted on…

A: Given, A 5.0-kg ball rolls without sliding from rest down an inclined plane. A 4.0- kg block,…

Q: brought to rest by suctessively crushing steel barrels. The length of the crash ushion is 5.0 m, and…

A:

Q: An airline employee tosses two suitcases with weights of 30 lb and 40 lb, respectively, onto a 50-lb…

A: Given data as per the question weight of baggage carrier =50 lb weight of suitcases =30 lb and 40 lb…

Q: A 32,000-lb airplane lands on an aircraft carrier and is caught by an arresting cable. The cable is…

A: Using the Pythagorean theorem in the triangle is:

Q: An 8000 kg truck was travelling at a speed of 10 m/s when it collided with a 2000 kg automobile that…

A: Write the given data.  mt=8000 kg ma=2000 kg  e=0.75   t=0.4 sut=10 m/s

Q: A trailer truck enters a 2 percent uphill grade traveling at 72 km/h and reaches a speed of 108 km/h…

A: Given data: Initial speed of trailer truck, v1 = 72 km/h. Final speed of trailer truck, v2 = 108…

Q: A 0.0102-kg bullet is fired straight up at a falling wooden block that has a mass of 3.47 kg. The…

A:

Q: 1.25 m 1.25 m A ballistic pendulum consists of 7-kg wooden block originally at rest. When a 4-g…

A:

Q: In Figure Q2, the 55 kg crate is at rest and the spring is initially unstretched. Knowing the spring…

A: Given: m = 55 kg k = 2 kN/m friction coefficient = 0.35 x =1.7 m

Q: Q6. The 9-kg ball is connected to a spring with spring constant k = 100 N/m and unstretched length…

A: The force responsible for the motion of the ball can be determined as shown below.

Q: A tennis ball of mass 57.0 g is held just above a basketball of mass 577 g. With their centers…

A:

Q: The packaging and distribution system in a factory consists of a spring and conveyor belt. As shown…

A: mass of the spring (m) = 5 kg  Spring constant (K)       = 262 N/m  Acceleration due to gravity (g)…

Q: A box has a mass of 4 kg and is dropped from a certain height (h), it falls to the floor with a…

A: Kinetic energy of an object is defined as the energy possessed by the object by virtue of its…

Q: A bullet with a mass m₁ = 11.5 g is fired into a block of wood at velocity Ub = 257 m/s. The block…

A: A bullet with a mass mb = 11.5 g = 0.0115 kg is fired into a block of wood at velocity vb = 257 m/s.…

Q: A 0.2-kg pendulum bob A hangs from a 0.75 m cord attached to a fixed pivot. It is released from rest…

A: Given data: The mass of the pendulum bob A is mA=0.2 kg, The mass of the bob B is mB=0.2 kg, The…

Q: Clarence was driving his car when he drove into a busy parking lot last Monday morning. Unaware that…

A: Impulse = F * T = M * a * T = M * V/T * T = M * V = 1400 * 12 = 16800 N/s

Q: A locomotive exerts a constant force of 200,000 lbs on a set of series-connected railroad cars…

A:

Q: A 4kg ball and 3kg ball move on a smooth plane along a straight path with speeds equivalent to 6m/s…

A:

Q: In order to test the resistance of a chain to impact, the chain is suspended from a 240-lb rigid…

A: Given: Weight of the block WB=60 lb Weight of the beam WM=240 lb Height h= 5ft ball doesn't rebound…

Q: A 20,000 kg train car traveling at 8 m/s crashes into a 30,000 kg train car at rest and the two cars…

A: Let us denote 20,000 kg train by subscript 1 and 30,000 kg train by subscript 2. Given, m1 = 20,000…

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.