An advertisement claims that a 1000 kg car can accelerate from rest to a speed of 20 m/s in a time of 5 seconds. What average power must the motor produce in order to cause this acceleration? Ignore friction losses.

Q: A 67 kg yak has an average power output of 200 W. How long can a yak climb a 3km high mountain?…

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Q: You want to drop a ball of weight 10.0 N into free fall from rest from a certain height above the…

A: The weight of the ball,

Q: Starting a race, a 68.2-kg sprinter runs the first 7.04 m in 1.60 s, starting from rest and…

A: Given: The mass (m) of the sprinter is 68.2 Kg. The distance (S) covered by the sprinter is 7.04 m.…

Q: When 150 J of work is done on a system by and external force of 15 N in 20. seconds, the total…

A: The work done on the system is 150 J by the external force force of 15 N is 20 sec.

Q: A 65-kg woman runs up a flight of stairs in 10.0 s. Her net upward displacement is 3.0 m.…

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Q: A 65-kg woman runs up a flight of stairs in 10.0 s. Her net upward displacement is 3.0 m.…

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Q: What average power does a 1,565 kg car need to go from 0 to 12.6 m/s in 6.86 seconds? Assume a…

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Q: 10-kg dog is running with a speed of 5.0 m/s. What is the minimum work required to stop the dog in…

A: Given: The mass of the dog is 10 kg. The initial speed of the dog is 5 m/s. The final speed of the…

Q: An accelerating object of mass m=2 kg is fired with an initial speed v=8 m/s at a starting point. If…

A: Given data: Mass m =2 kg Velocity v=8 m/s2. Final Kinetic energy =268 J

Q: What average power is needed to accelerate a 1 kg soccer ball from rest to 36 km/hr in 0.1 seconds?…

A: Given data: Mass (m) = 1 kg Initial velocity (v0) = 0 m/s Final velocity (v) = 36 km/hr Time (t) =…

Q: From what height would an automobile have to fall to gain the kinetic energy equivalent to what it…

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Q: A car with a mass of 900.0 kg climbs a 20.00° incline at a steady speed of 60.00 km/hr. If the total…

A: The steady speed of a car is, v=60 km/hr=16.67 m/s The total resistive or dissipative force acting…

Q: A toy train accelerates from rest to 0.62 m / s in 21 ms. If the mass of the train is 875 g, what is…

A: ACCELERATION  OF TARIN a = 0.062 / 21 X 10-3 m / s2 = 2.95 m/ s2 mass = 0.857 kg v= 0.62 m/s power =…

Q: A cheetah can accelerate from rest to 6.4 m/s (about 16 m/h) in 1.2 seconds. How much average power…

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Q: A fully loaded, slow-moving freight elevator has a cab with a total mass of 1600 kg, which is…

A: Given:-         Total mass  M=1600 kg        Distance to cover  d=39 m        Time taken  t=2.2…

Q: An accelerating object of mass m=18 kg is fired with an initial speed v=9 m/s at a starting point.…

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Q: What average power is needed to lift a 65-kg vendor vertically upward at a uniform speed of 0.44…

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Q: a toy car (0.50kg) runs on a frictionless trackand has an initial kinetic energy of KE =1.6. over…

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Q: At what speed does a 1000 kg compact car have the same kinetic energy as a 2.00×10* kg truck going…

A: Given : mass of compact car, mc = 1000 kg             mass of truck, mt = 2.0 × 104 kg…

Q: certain 1200kg car can accelerate from rest to a speed of 25m/s ina time of 8.00s. What average…

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Q: What average mechanical power (in W) must a 61.5 kg mountain climber generate to climb to the summit…

A: The mechanical power of the climber can be found as, Here, W and t represent the work-done and…

Q: A 135g Frisbee is thrown from a point 1.05 m above the ground with a speed of 12.00 m/s. When it has…

A: Given m=135g H1=1.05m H2=2.50m V1=12.00m/s V2=10.4831m/s   Work done on the Frisbee can be defined…

Q: A 5.0-kg cart is moving horizontally at 4.0 m/s. In order to change its speed to 6.0 m/s, the net…

A: Given: Mass of cart m=5.0 kg Initial speed u=4.0 m/s Final speed v=6.0 m/s To find net work done in…

Q: A top fuel dragster with a mass of 600.0 kg starts from rest and completes a quarter mile (402 m)…

A: Given: mass of top fuel dragster, m = 600 kg Initial speed, u = 0 (starting from the rest) Final…

Q: Without pedaling, the rider rides down a 3.0% slope with constant speed of 7.0 m/s. With how much…

A: Slope = 3% therefore, θ = Tan-1(0.03) = 1.718oV = 7 msmass (m) = 80 kg

Q: A bird of mass m = 2kg flies at a height h = 10 m from the ground with a constant horizontal speed v…

A: The mass of the bird, m=2 kg   The height, h=10 m   The horizontal speed, v=10 m/s

Q: While a 33 kg girl jumps on a trampoline, her speed is measured at different points and it is…

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Q: Calculate the average power necessary for a 55.8 kg person to run up a 5.0 m high, sloped hill, in…

A: The expression for the average power is P=Wt Here,P  is the average power,  iWs the work done by…

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: A cheetah can accelerate from rest to 7.4 m/s (about 17 m/h) in 1.1 seconds. How much average power…

A: The correct choice of answer is option (a) i.e. 1300 W

Q: A particle of mass 0.4 kg moves a long a straight line according to x(t) = 2t + t3, where t is in…

A: Power is defined as time derivative of the work done on a system, or work done per unit time. Work…

Q: A object 2 kg is moving in one dimension with a velocity given by  V(t)= 1 / 2 t^2  at t=4 s.…

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Q: Suppose a 975-kg car can produce a useful power output of 42.5 hp (1 hp = 746 W). How long, in…

A: Data Given ,  Mass of the car ( m ) = 975 kg Power of the car ( P ) = 42.5 hp   = ( 42.5 × 746 ) W =…

Q: A skier of mass 70.0 kg is pulled up a slope by a motor drivencable. (a) How much work is required…

A: (a) The vertical distance travelled by the skier is

Q: A 55-kg marathon runner runs up the stairs to the top of Taguig’s 318-m Grand Hyatt Manila, the…

A: Mass of the runner M=55 kg The height reached h=318 m The time taken t=20 minutes=20×60 s=1200 s…

Q: The aircraft carrier USS George Washington has mass 1.0 ×108kg. When its engines are developing…

A: Let Pout be the total power output of the engines, P is the power used to push the ship through the…

Q: Consider a compact car that is being driven at 88 km/h. The acceleration of gravity is 9.8 m/s. From…

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Q: What average mechanical power (in W) must a 60.0 kg mountain climber generate to climb to the summit…

A: solution as

Q: What average mechanical power (W) must a 76.5kg mountain climber generate to climb to the summit of…

A: Given that: m=76.5 kgg=9.8 m/s2h=405 mt=46 min=2760 sec W=?

Q: A woman uses a pulley and a rope to raise a 20 kg weight to a height of 2 m. If it takes 4 s to do…

A: mass, m = 20 kg  height, h = 2 m  time, t = 4s  The formula for energy is  E = m g h  The power is…

Q: What average mechanical power (in W) must a 61.5 kg mountain climber generate to climb to the summit…

A: According to work energy theorem, the work required to climb the hill is,Substitute the values,

Q: Consider again pulling a 60 m rope up a cliff face, where the rope has a mass of 66 g/m. At what…

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Q: What is the power output for a 60.0 kg person who runs up a 3.00 m high flight of stairs in 3.50 s,…

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Q: An initially (t = 0) stationary 2.0 kg object accelerates horizontally and uniformly to a speed of…

A: Solution