Two motorcycles are at rest and separated by 24.5 ft. They start at the same time in the same direction, the one in the back having an acceleration of 3 ft. per sec2, the one in the front going slower at an acceleration of 2 ft. per sec2. (a) How long does it take for the faster cycle to overtake the slower? (b)How far does the faster machine go before it catches up? (c) How fast is each cycle going at this time?

Q: What is the efficiency of a subject on a treadmill who puts out work at the rate of 110 W while…

A: oxygen consumption rate 2 L/m mean power input = 700 Wpower output = 110 W

Q: A cart which has a mass of 20 kilograms slides down a frictionless slope of a hill. If the cart…

A: Given data:  Mass (m) = 20 kg Initial velocity (Vi) = 0 m/s Final velocity (Vf) = 15 m/s…

Q: Under normal conditions the human heart converts about 12.4 J of chemical energy per second into…

A: (a) As 1 kilocalorie = 4186 J. Therefore, 1 cal = 4.186 J.  The energy in calorie used per second…

Q: If the speed of a car is increased by 70%, by what factor will its minimum braking distance be…

A: Consider the speed of the car in the first case is v.

Q: The basis of muscle action is the power stroke of the myosin protein pulling on an actin filament.…

A: Input energy, Ein=5.1×10-20J Displacement, d=10nm=10×10-9m Force, F=1.0pN=1.0×10-12N

Q: A 59 kg skier pushes off the top of a frictionless hill with an intial speed of 3.6 m/s How fast…

A: Solution:   As per the given data,   Mass(m)=59 kg Initial speed(u)=3.6 m/s height(h)=8 m

Q: A 14 kg penguin slides on its belly down an icy, frictionless glacier. If the penguin started from…

A: Write the given values of the problem- Mass=14 kg final speed(vf) vf=14 m/s

Q: (2) The ionosphere is a layer of air high up in Earth's atmosphere. In the ionosphere, the air…

A: Given: The distance of ionosphere from the surface of the earth: 160km frequency of radio waves…

Q: An older-model car accelerates from 0 to speed υ in a time interval of Δt. A newer, more powerful…

A:

Q: A roller coaster is moving at 12 m/s at the top of the first hill (h = 45m). Ignoring friction and…

A:

Q: An 79 kg man runs up stairs and reaches 11 mheight for 12 s. what is his power? Use g = 9.8 m/s2…

A:

Q: An 64 kg man runs up stairs and reaches 9 mheight for 12 s. what is his power? Use g = 9.8 m/s2…

A: The mass of the man is m = 64 kg. The height of the staircase is h = 9 m. The time taken to reach…

Q: Two identical stones are thrown from the top of a tall building. Stone 1 is thrown vertically…

A: The initial position of both the stones are top of the building and the final position is ground.…

Q: Two blocks are connected by a light string that passes over a frictionless pulley as in the figure…

A: First draw the free body diagram and solve for acceleration .  Then, using acceleration and height ,…

Q: A ball is thrown straight up in the air with an initial speed of 10 m/s. Ignore air resistance and…

A: Initial speed = vi = 10 m/s Displacement = ( xf - xi ) = 5 m Acceleration due to gravity = a = g =…

Q: During terrible weather at a ski-flying world championship, a ski jumper tried to adjust for bad…

A: Given: The mass of the jumper is 73 kg. The distance from the starting point is 45 m. Introduction:…

Q: A steam engines raises a 1800 kg mass vertically at the rate of 9 m/s. What is the power of the…

A: mass raised (m) = 1800 kg velocity (v) = 9 m/s efficiency = 70 %

Q: At room temperature, an oxygen molecule, with mass of 5.31 x 10^-26 kg, typically has a kinetic…

A:

Q: a 76kg man pushes off from the 89kg ice block and slides at a speed of 2 m/s. What is the speed of…

A: Given data: Mass of man (m1) = 76 kg Speed of man (v1) = 2 m/s Mass of ice block (m2) = 89 kg…

Q: How fast does a 48kg tiger running if it has a kinetic energy of 15 kilojoules? Express your answer…

A:

Q: Chris is on a bike at the top of a hill that is 42 m (that’s 138 feet) tall. If he rides straight…

A:

Q: The distance D (in feet) required for a moving vehicle to come to a complete stop on dry pavement is…

A: We use the kinematic relations to get the required relations and analyse the given case of how the…

Q: (a) What is the efficiency of an out-of-condition professor who does 2.10 x 10° J of useful work…

A: a) We know that, efficiency= (output/input)x100 So here output is 2.10×10^5 joule and input is…

Q: A roller coaster is moving at 15 m/s at the top of the first hill (h= 52 m). Ignoring friction and…

A:

Q: Estimate the kinetic energy (in GJ) of a 97,500 metric ton aircraft carrier moving at a speed of at…

A: According to question we need to find kinetic energy.

Q: A car is parked at the top of a 70-m high hill. It slips out of gear and rolls down the hill. How…

A: solution as

Q: What is the efficiency of a subject on a treadmill who puts out work at the rate of 106 W while…

A: It is given that power input ≡oxygen consumption of 2L/m ≡700W power output = 106 W

Q: (a) What is the efficiency of an out-of-condition professor who does 2.30 ✕ 105 J of useful work…

A:

Q: If the speed of a car is increased by 95%, by what factor will its minimum braking distance be…

A: Consider the initial speed of the car is u.

Q: Superman stands majestically on top of a 250meter tall building with the wind whipping his cape.…

A:

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: (1.3) The engine of a car is working at a steady rate of 5 kW. The car of mass 1200kg is being…

A: Given Data: Engine power, P=5 kW=5×103 W=5000 W Car mass, m=1200 kg Resistive force, FR=325 N…

Q: The question asks "a car with initial velocity v0 speeds up to twice its initial speed before…

A: We are given initial and final speed of car. We are  also given total time of changing of speeds. We…

Q: A 0.086kg robin, perched on a power line 6.1m above the ground, swoops down to snatch a worm from…

A: Mass of robin,m=0.086 kg Height of the power line,h=6.1 m Tree branch height,H=8.2 m

Q: An 64 kg man runs up stairs and reaches 9 mheight for 12 s. what is his power? Use g = 9.8 m/s2…

A: Determine the work done by man.

Q: Given: The energy equivalent of one gallon of gasoline is 1.3 x 10° J. A compact car has a mass of…

A: Given: The energy equivalent of one gallon of gasoline is Ee,gasoline=1.3×108 J/gal, The mass of…

Q: A swimming pool is round, full of contaminated water, and has an 11 foot radius. It is 11 feet tall…

A: Given information: Here, r is the pool’s radius, H is the pool’s height, h is the height of the…

Q: A 150. kg roller coaster is released from rest at the top of a 50.0 m hill. How fast will it be…

A:

Q: In a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This…

A: Distance= 64.0 m Angle (θ) = 29°

Q: A 2-meter chain is placed on a table with heigh 1m , in a way that one end of the chain touches the…

A: SOlution: given thatL =2 m l = 1 m

Q: A roller coaster is moving at 8 m/s at the top of the first hill (h= 43 m).  Ignoring friction and…

A:

Q: how fast would a 30 kg child be moving from top to bottom on a zipline starting at a height of 43.6…

A:

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.