The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 8 and 35 kg. If A and B are 6.5 and 1.0 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) VB= Number i VA = 0 m/s A hA B hg VA = 0 m/s Units

Q: rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The…

A: Answer the following question

Q: The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a…

A: As the air resistance is neglected, both heavy, as well as light objects, will fall at the same…

Q: A 1000 kg automobile is moving at 30 m/s at a height of 5.0 m above the bottom of a hill when it…

A: Mass ( m ) = 1000 kg  Height ( hi ) = 5 meter Velocity ( uf ) = 30 m/s

Q: A 62.0-kg skier is moving at 6.90 m/s on a frictionless, horizontal, snow-covered plateau when she…

A: Write the third kinematic equation and substitute the corresponding values to calculate the speed of…

Q: Novice piano movers have pushed a 1000 kg piano to a second-story window.  They plan to open the…

A:

Q: 8. A 0.56-kg ball is thrown vertically upward with an initial speed of 16.5 m/s. What is the speed…

A: GIVEN            Mass of the ball = m = 0.56 kg            Initial speed of the ball = V1 = 16.5 m/s…

Q: An object is thrown with an initial speed of 15 m/s at an angle of 35.0 degrees above the horizontal…

A: Given: The intial speed of the object is 15 m/s. The angle of the projection is 15o. The height of…

Q: A child and sled with a combined mass of 28.6 kg slide down a frictionless hill, starting at the…

A: Given Data Combined mass of the child and the sled is m=28.6 kg Initial speed of the sled is vi=0…

Q: Problem 69. A block of mass m starts from rest at the top of an incline. The block starts at a…

A:

Q: A proton (mass m = 1.67 x 1027 kg) is being accelerated along a straight line at 4.60 x 1010 m/s in…

A:

Q: A 10 kg object is released at the top of a building 100 m high. If the force of air resistance is on…

A: Given: The mass (m) of the object is 10 Kg. The height (h) of the building is 100 m. The force of…

Q: The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a…

A:

Q: A 60.0 kg skier with an initial speed of 12.0 m/s coasts up a 2.50 m high rise as shown above.  Find…

A: Given

Q: Hulk is helping Natasha pull a 84 - kg box of weapons up a38 inclined plane with a velocity of 7.3…

A: in the question it is given that ,mass of the crate , m=84 kgθ =38oinitial velocity , u =7.3…

Q: skier is initially moving at 13.7 m/s on level ground as they approach a hill that is angled upward…

A: Initial velocity (u) = 13.7 msAngle of incline of hill (θ) = 15.8oLet the mass of skier = m Distance…

Q: A 2.1 × 103 -kg car starts from rest at the top of a 5.0-m-long driveway that is inclined at 20°…

A: Given data: Mass of car, m = 2.1 × 103 kg Length of driveway, L = 5 m  angle of inclination, θ = 20°…

Q: 1. If a 13.00kg dog starts from rest and slides down the water slide, which has a height of…

A: 1) Given m=13 Kg (mass of dog) h1=8 m  From conservation of energy Now potential energy of dog at…

Q: boxes have masses of 8 and 39 kg. If A and B are 6.5 and 1.5 m, respectively, above the ground,…

A: As the air resistance is neglected, Both heavy, as well as light objects, will fall at the same…

Q: Starting from rest, a block of mass m=5.0 kg slides down a frictionless ramp from point A to point…

A:

Q: The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a…

A: As the box slides from point A to point B the potential energy is converted into kinetic energy. The…

Q: In the figure, a 4.4 kg block slides along a track from one level to a higher level after passing…

A:

Q: In the figure, a 3.7 kg block slides along a track from one level to a higher level after passing…

A: Given:  Mass of block, m=3.7 Kg initial speed, v0=5.8 m/s height difference, h=0.96 m coefficient of…

Q: A semitrailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls…

A: According to question, the semi-trailer coast along a ramp, which is inclined at an angle of 12.5°,…

Q: ˆı + 6ˆȷ) for a long time it is observed at the position ⃗rf = (13 ˆı + 8 ˆȷ) m with a speed of 1.5…

A: Given:- The mass of the space junk = 60 kg  the net force Fnet  =(  13 ^i+16^j )N  The initial…

Q: Grug is a creature formed from the top of a Burrawang tree, standing ~1.25m tall. One day, Grug…

A:

Q: *45. ssm Two pole-vaulters just clear the bar at the same height. The first lands at a speed of 8.90…

A:

Q: Two pumpkins are thrown from the top of the Physical Sciences building as a part of a physics…

A: The basic kinematic equations that will be used are:v2-u2=2as………(1)where,v is the final speed.u is…

Q: Chapter 08, Problem 022 Your answer is partially correct. Try again. A 54 kg skier starts from rest…

A: Given data: Mass m = 54 kg Height H= 23m Angle θ=27°

Q: A child starts from rest and slides without friction from a height of h = 6.5 m along a slide next…

A: This question can be easily solved by playing the basic concept of Total energy conservation and…

Q: A 4905 N H = 250 m B 4204 N Vo C 3924 N 3679 N A 1700 kg car decending a hill of height 250 m with a…

A: The problem is based on the concept of total energy. We know that total energy is the sum of kinetic…

Q: The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a…

A: Solution:

Q: The 2-kg block is subjected to a force having a constant direction and a magnitude F = (300/(1+ s))…

A:

Q: A child on a sled with a total mass of 45.0 kg slides down an icy hillside with negligible friction.…

A: The vertical height of the hill is about 0.46 m. Here, we use conservation of energy and solve for…

Q: A box of mass 19 kilograms is sliding along at 1.4 meters per second. Roy pulls the box in the same…

A: The free body diagram is shown below

Q: A 65.0 kg skier with an initial speed of 10.0 m/s coasts up a 2.50 m high rise as shown in the…

A:

Q: The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a…

A:

Q: a mother and her child are skiing together, and the mother is holding the end of a rope tied to the…

A:

Q: Two identical sleds slide down two frictionless hills, each starting from rest at the top of its own…

A: The relation between the speeds and distance travelled s is v2-u2 =2as , where v is the final speed…

Q: the work done

A:

Q: Bob drives a 3500kg truck off a cliff at an initial speed of 11m/s. The truck hit the bottom of the…

A: Given in question - Mass of truck(m) = 3500 KgInitial speed(u) = 11 m/sFinal speed(v) = 18 m/sTo…

Q: A 57 kg skier starts from rest at height H = 12 m above the end of a ski-jump ramp (see the figure).…

A:

Q: You drop a 2.20 kg book to a friend who stands on the ground at distance D = 15.0 m below. Your…

A:

Kinematics

A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine parts, those two parts experience a relative motion with each other. Studying such relative motions is termed kinematics.

Kinetic Energy and Work-Energy Theorem

In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the direction of displacement and perpendicular to the displacement which is called the normal force. Energy is the capacity of any object doing work. The SI unit of work is joule and energy is Joule. This principle follows the second law of Newton's law of motion where the net force causes the acceleration of an object. The force of gravity which is downward force and the normal force acting on an object which is perpendicular to the object are equal in magnitude but opposite to the direction, so while determining the net force, these two components cancel out. The net force is the horizontal component of the force and in our explanation, we consider everything as frictionless surface since friction should also be calculated while called the work-energy component of the object. The two most basics of energy classification are potential energy and kinetic energy. There are various kinds of kinetic energy like chemical, mechanical, thermal, nuclear, electrical, radiant energy, and so on. The work is done when there is a change in energy and it mainly depends on the application of force and movement of the object. Let us say how much work is needed to lift a 5kg ball 5m high. Work is mathematically represented as Force ×Displacement. So it will be 5kg times the gravitational constant on earth and the distance moved by the object. Wnet=Fnet times Displacement.