Constant power P is delivered to a car of mass m by its engine. Show that if air resistance can be ignored, the distance covered in a time t by the car, starting from rest, is given by s = (8P/9m)1/2 t3/2.

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A: The mass m=75kg  The speed =2.0m/s To find the final velocity on the level ground

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A: 1. Given :  m = 70 kg t = 4 s h = 4.5 m

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A: Given:- mass of object is 20 kg  height above the ground is 8 m  Find:- potential energy?

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A: Given data: h1=4 mh2=3.22 mh3=2.25 mm=3 kgg=10 m/s2 Need to determine the mechanical energy.

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A: Given: The power is 0.25 hp. The constant speed of the motor is 5 cm/s.

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Q: Suppose that as part of their training, the football players of MSU went up a stair in 66 s. The…

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Q: Gina has a weight of 60N. She is playing on a swing. She goes from a minimum height of 0.50 meter to…

A: Weight of Gina: W = 60 N Maximum height of swing: hmax = 3.0 m Minimum height os swing: hmin = 0.50…

Q: Say I lift a box from the ground straight up to 1m in 2s. If I lift the same box from the ground but…

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Q: A bus of mass 1000 kg with an initial velocity of 40 m/s starts up a hill and coasts upward with no…

A: Given : Initial Velocity (  u ) = 40 m/s Mass ( m ) = 1000 kg The height achieved when it stops ( h…

Q: A 200-g steel ball is tied to a 2.00-m “massless” string and hung from the ceiling to make a…

A: We draw a diagram according to the question. Also take  dotted line below the figure as a reference…

Q: A body of mass 11 kg projected vertically upward from the ground has a potential energy of 320 J and…

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Q: What is the maximum kinetic energy of a bowling ball with a mass of 6.1 kg, dropped from the 116m…

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Q: Water flows over a section of Niagara Falls at a rate of 1.4 × 106 kg/s and falls 60 m. What is the…

A: Given: The rate of mass of the water=dmdt=1.4×106 kg/s. The height of the fall=h=60 m Acceleration…

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Q: If the mass of the swimmer is 50kg. a. Potential Energy at the Top is = J b. Velocity of the swimmer…

A: We have a swimmer of mass m=50 kg drop (initial velocity u=0) from a height of h=15 m. We need to…

Q: We would like to place 300 m long ski lift which moves with a towing speed of 12 km/h, on a steep…

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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: A constant force F = 8N is acting on a box at an angle of 45 degrees to pull the box rightward…

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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: car (m = 660.0 kg) accelerates uniformly from rest up an inclined road which rises uniformly, to a…

A: Given Mass of the car is m=660.0 kg Height of the hill is h=39.0 m Final speed of the car is vf=24.9…

Q: Which has more kinetic energy, a 0.0020-kg bullet traveling at 400 m/s or a (6.4 x 107 )-kg ocean…

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Q: When its 75-kW (100-hp) engine is generating full power, a small single-engine airplane with mass…

A: Given: m = 700 kg, v = 2.5 m/s, g = 9.8 m/s² Where  m = mass of the engine, g = acceleration due to…

Q: An object of mass m= 7.6 kg is free to move on a horizontal surface without any friction. It is…

A: Given : mass of the object, m = 7.6 kg Initial velocity, u = 0 m/s Force, F = (3 N)i^ + (4 N)j^ So ,…

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

A:

Q: If a person of mass 50kg climbs a 2m high set of stairs in 4.0s on their first attempt, and on their…

A: Fw = Mg ( force due gravity) H = 2 m t1 = 4 s  t2 = 8 s  We know work done in vertical direction is…

Q: How much energy is lost to a dissipative drag force if a 60-kg person falls at a constant speed for…

A: Energy is defined as capacity to do work. Whenever a body falls at a constant speed under the…

Q: If a car generates 15.6 hp when traveling at a steady 96.1 km/hr, what must be the average force…

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Q: boy of mass 35 kg climbs a vertical rope 7 meters in length in 10 seconds with constant velocity.…

A: Given data:   Mass of boy (m) = 35 kg Vertical height (h) = 7 metres Time (t) = 10 seconds Required…

Q: A skydiver of mass 60kg is falling at a terminal velocity of 80m/s. How much power is gravity…

A: Given that :m=60 kgv=80 m/shere,m is the mass of the skydiver, andv is the terminal velocity

Q: Compute the minimum power necessary to operate a ski lift that carries skiers along a 45.0 slope.…

A: Given value--- slope = 45 degree.  weight = 700 N. speed = 5 m/s. No. of skiers = 100 . We have to…

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: An Olympic swimmer stands on top of a platform at a height H above a swimming pool. At the moment of…

A:

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: Which requires more work: lifting a 50.0 kg crate a vertical distance of 2.0 meters or lifting a…

A: Given: M1=50kg M2=25kg h1=2m h2=4m Now, Work was done to lift 50 kg crate (2m). Work was done to…

Q: Calculate the work done on a 1500 kg elevator car by its cable to lift it 40.0 m at constant speed,…

A: Given

Q: How long does it take for a forklift with a useful power output of 980 watts, to raise a 100-kg…

A: Given data: Power (P) = 980 watts Mass (m) = 100 kg Height (h) = 2.0 m Required:  Time (t)

Q: Killer whales are known to reach 32 ft in length and have a mass of over 8,000 kg. They are also…

A: Given, Mass of Shamu(m)= 7.99*10³ kg Initial velocity of Shamu(vi)= 0 m/s Final velocity of…

Q: The engine of the car has a power of 355 hp. If it 800 kg and moves horizontally, what will be its…

A: Power of engine "P"= 355h.p = 264.72kW. mass of car "m"= 800 kg  time taken "t"= 7sec . initial…

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

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