"A 65 kg teacher, starting from rest, glides gracefully down a slide while the net force on her is a constant 350 N. How fast will she be travelling at the bottom of the 8.0 m slide?"

Q: A variable force F = 3x²î acts on an object with mass m= 2kg from x=0 to x = 4 meters, where F is in…

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Q: Along a straight horizontal track, a roller-coaster car is moving at 25 m/s. As shown in the figure…

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Q: A 36.0-kg crate, starting from rest, is pulled across a floorwith a constant horizontal force of 225…

A: According to the work-energy theorem, the changing in kinetic energy of the crate must be equal to…

Q: A 690-kg automobile is moving at 24.1 m/s at a height of 3.8 m above the bottom of a hill when it…

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Q: A driving force of 200 N is needed for a car of mass 800 kg to travel along a level road at a speed…

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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: What power on the cables does it require to lift a 250-kg elevator cab and 4 passengers each with a…

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Q: How efficient is a motor that uses 1600 J of electricity energy to accelerate a 200 kg moped from…

A: Efficiency is defined as the ratio of workdone to energy used. Efficiency =WorkdoneInput energy

Q: A particle of mass 3.8 kg is constrained to move along the x-axis under a single force F(x) = -cx,…

A: The total mechanical energy of the particle at point A, EA=12mvA2   Substitute, EA=123.8 kg5.7…

Q: 8) A 60.0 kg student starts from rest (Point A) and slides 26.0 m down a hill where the average…

A: Given: Mass of student = 60 kg Length of the hill = 26 m Height of the hill = 17 m Frictional force…

Q: An m=60 kg diver jumps off a diving board h=3 m above the water that acts like an ideal spring with…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: "Tarzan, who weighs 650N, swings from a cliff at the end of a vine 24 m long. From the top of the…

A: The weighs =650N  To find does the vine brake

Q: A box with mass 5.00 kg starts sliding down a ramp (1.00 m long) which is inclined at an angle…

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Q: A 54-kg ice skater pushes off the wall of the rink, giving herself an initial speed of 3.2m/s. She…

A: Write the expression for horizontal force using Newton’s second law

Q: A particle of mass 2.0 kg moves under the influence of the force F(x) = (3/√x) N. If its speed at x…

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Q: A 72 fireman slide down a 3.2 m pole by applying a frictional force of 377 N against the pole with…

A: Given , mass of fireman , m = 72 kg Height of pole , h = 3.2m Frictional force , f = 377 N…

Q: A 62 kg trampoline artist jumps upward from the top of a platform with a vertical speed of 4.5 m/s.…

A: Say u is the velocity as the artist velocity as he lands on trampoline. At top as the artist jumps…

Q: 21. At an amusement park, a swimmer uses a water slide to enter the main pool. If the swimmer starts…

A: Given data:  Initial velocity (Vi) = 0 m/s Height (h) = 2.31 m Required: The final speed at the…

Q: What is the speed of a 14 kN body at rest then falling from a height of 238 m.

A: During free fall if the air resistance is neglected the final velocity of a body dropped from a…

Q: Starting from rest, a 92-kg firefighter slides down a fire pole. The average frictional force…

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Q: As a block of mass 7 kilograms drops from the edge of a 40-meter-high cliff it experiences a loss of…

A: Given: The mass of the block is 7 kg. The height of the cliff is 40 m. The loss of energy due to air…

Q: A toy gun uses a spring to project a 5.3 - g soft rubbersphere horizontally. The spring constant is…

A: Let Wf  be the work done by the friction force in the opposite direction, Ps be the elastic…

Q: A 2.1 x 103-kg car starts from rest at the top of a 5.5-m-long driveway that is inclined at 15° with…

A: Given Data : The mass of the car is given as M=2.1×103 Kg The length of the driveway is given as D =…

Q: A particle of mass 3.4 kg is constrained to move along the x-axis under a single force F(x) = -cx',…

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Q: A worker is trying to drop a 10 kg boulder off a 10 m high cliff.. At this particular location,…

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Q: A 55-kg skier starts from rest at the top of a ski jump, point A in the figure, and travels down the…

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Q: A 3.09-kg particle is subject to a net force that varies with position as shown in the figure. The…

A: Given: The mass of the particle is m=3.09 kg. According to work energy theorem: Kinetic…

Q: A horizontal force of 1.5 N acts on a 0.2kg mass to accelerate it along a horizontal path. How fast…

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Q: A 36-kg girl rides on the seat of a swing attached to two chains that are each 20 m long. If she is…

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Q: A particle of mass 2.3 kg moves under the influence of a force: F(x)=(−5x2+7x) N If its speed…

A: potential energy = - ∫f.dx = -∫(-5x2 +7x)dx = - (-5x3/3 + 7x2/2) = (5/3)(x3) - 3.5 x2 total energy…

Q: A 150 [g] particle at x = 0 is moving at 2.00 [m/s] in the +x-direction. As it moves, it experiences…

A: The expression for the work done, W=∫x1x2Fxdx   Substitute,…

Q: A 750-kg automobile is moving at 16.9 m/s at a height of 5.00 m above the bottom of a hill when it…

A: Write the expression for change in potential energy

Q: A.2.1x 10-kg.car starts from rest at the top of a 5.8-m-long driveway that is inclined at 15° with…

A: Given data: Mass of car (m) = 2.1×103 kg Displacement along driveway (d) = 5.8 m Angle with…

Q: What are the average powers a car weighting 1.2 × 10³ kg has to use (power of the car's engine) to…

A: Given: mass of the car (m) = 1200 kg v1 = 0 m/s v2 = 14 m/s v3 = 28 m/s Time in both cases (t) = 4 s

Q: While a roofer is working on a roof that slants at 32° above the horizontal, he accidentally nudges…

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Q: If 10.00 hp are required to drive a 2,000-kg automobile at 80 km/h on a level road, what is the…

A: Given :  Power, P = 10.00 hp  mass, m = 2000 Kg  Velocity, v = 80 Km/h  Find : Total retarding force…

Q: A particle of mass 2 kg moves along the x – axis under the influence of a force F = (3x² – 4x + 5)î…

A: Answer            6.708m/s

Q: If a car (m = 1200 kg) generates 18 hp when traveling at a steady 90 km/h, what must be the combined…

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Q: A 6 kg block, initially moving 4 m/s, slides 2.5 m down a ramp that is inclined 20 degrees above…

A: Given data: Mass of block is, m=6 kg. Initial speed of block is, u=4 m/s. Distance covered during…

Q: How much time will it take for a 12.5-hp electric motor to lift an elevator weighing 1850 Ib by 3…

A: Given,

Q: AND ENERGY WORK, POWER, A force in the +x-direction with magnitude F(x) = 18.0 N - (0.530 N/m)x is…

A: The magnitude of the variable force, F=18 N-0.530 N/mx Mass of the box, m=6.00 kg Initial velocity,…

Q: A particle of mass 4.2 kg is constrained to move along the x-axis under a single force F(x) =…

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Q: During a rope pulling competition, team "A" does 2.20 X 105 J of work to drag team "B", 8.00 meters.…

A: Answer:-  Given  Work done (W)  by A  = 2.20 × 105 J  Displacement (S) = 8.00 m  Force (F) = ?  We…

Q: A parachutist weighing m=70Kg (including equipment) falls vertically from a height of 1500 meters…

A: Given data: The mass of parachutist is m=70 kg. The height from ground is h=1500 m. The time after…

Q: A stone can slide down one of three different frictionless ramps, as shown in the figure. For which…

A: According to work energy theorem,   Work Done= Final kinetic energy- Initial kinetic energy But work…