A city planner is working on the redesign of a hilly portion of a city. An important consideration is how steep the roads can be so that even low-powered cars can get up the hills without slowing down. A particular small car, with a mass of 920 kg, can accelerate on a level road from rest to 21m/s(75Km/h) in 12.5 s. Using these data, calculate the maximum steepness of a hill.

Q: A force F = 53 N is applied to an object with mass m = 2.1 kg. What is the magnitude of the…

A: Given data: F = 53 N m = 2.1 kg Need to determine the magnitude of the acceleration of the object in…

Q: A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and…

A: We have been given that h = 1.55 m t = 0.57 Using these values, the value of acceleration due to…

Q: Amy, who has a mass of 60 kg, is riding her bicycle in the country. She is traveling at 13 m/s when…

A: Scenario - Amy descends from a hill of certain height with a velocity and climbs up another hill.…

Q: A small block is released from rest at the top of a frictionless incline. The block travels a…

A: Given information:Distance travelled by the block in the first second (S1) = 0.692 mInitial velocity…

Q: The velocity of a particle moving along the x axis is defined by x3-4x2+6x where v is in feet per…

A: Given value--- velocity = x3 -4x2 +6x. We have to find--- Compute the value of acceleration when…

Q: Julie, who has a mass of 65 kg, is enjoying a day at the local water park with some friends. She…

A: Calculate the vertical height of the bottom from the top of the water slide. h = (12 m) - (1 m)   =…

Q: There were 2 boys standing on top of a bridge. The 1st boy drops a 1.5kg rock while the 2nd boy…

A: h=ut+0.5gt2

Q: The block has mass m = 6.8 kg, the ramp is at an angle of θ = 28 degrees, the coefficient of kinetic…

A: We have a mass of m=6.8 kg moving up a ramp at an angle 28o and the ramp has a coefficient of…

Q: A small block is released from rest at the top of a frictionless incline. The distance from the top…

A:

Q: To Merge into the highway you need to increase your speed from 50 km/h to 100 km/h. If your car can…

A:

Q: In a 5000 m race, the athletes run 1212 laps; each lap is 400 m. Kara runs the race at a constant…

A: The total distance of the race, D=5000mEach lap distance = 400 mKara runs the race at a constant…

Q: The bacterium Escherichia coli (or E. coli) is a single-celled organism thatlives in the gut of…

A:

Q: A car moving along a straight horizontal road accelerates fromn a speed of 10 m/s to a speed of 30…

A: Solution: given that u = 10 m/s v = 30 m/s distance s = 133 m

Q: While dusting a bookshelf at the local college's huge library, Jean accidentally knocks a book off…

A: From equation of motion, final velocity of the body is v2 = u2 + 2as Where, v = final velocity u =…

Q: A car accelerates with the acceleration a(s) = k · s^n m/s^2, where s is distance in meters, k =…

A: Given Acceleration a = ksn k = 1.190 n = 0.731 final speed v = 1.75 m/s

Q: A 83 fıreman slides down a 2.7 m pole by applying a frictional force of 448 N against the pole with…

A:

Q: While dusting a bookshelf at the local college's huge library, Jean accidentally knocks a book off…

A: Given Height from book dropped = h = 3.48 m Initial velocity = u = 0 m/s We have to calculate the…

Q: (a) What is the speed of the ball at the bottom of the first plane (in m/s)? (Round your answer to…

A: Given data: The initial velocity of the volleyball is, u = 0 m/s  Acceleration of the volleyball is,…

Q: While dusting a bookshelf at the local college's huge library, Jean accidentally knocks a book off…

A: Initial speed of the book, u = 0 m/s Height of the shelf, h = 3.83 m Acceleration due to gravity, g…

Q: A roller-coaster goes over an 14 m tall hill then approaches a 25 m hill. What is the minimum…

A: Given data: Initial height (hi) = 14 m Final height (hf) = 25 m Required: The minimum velocity at…

Q: A tired cyclist on a bicycle (102.0 kg combined) starts with an initial velocity of 15.0 m/s at the…

A:

Q: The block has mass m = 10.6 kg, the ramp is at an angle of θ = 24 degrees, the coefficient of…

A:

Q: To Merge into the highway you need to increase your speed from 50 km/h to 100 km/h. If your car can…

A: Given:-  The initial velocity  v1 = 50 km /h = 13.89 m/s  The final velocity v2 = 100 km/h = 27.78…

Q: The Elco Voltmeter company has a robot part delivery system that moves at a speed of 3 ft/s. The…

A:

Q: In the inclined plane where friction is neglected, an object with a mass of 4 kg is thrown upwards…

A:

Q: Walk along a long straight level path in the woods you go 30 m in 6.2 s, stop for 32 s, and then…

A: Given Data : The initial distance travelled in the woods is given as d1 = 30 m. The time taken to…

Q: A boy tosses a coin straight up to 2.2 m. Suppose the height when the coin leaves his hand is 1.3 m.…

A: Initial height of the coin in boy's hand = 1.3 m The height of the coin when it tosses = 2.2 m The…

Q: The acceleration due to gravity at Earth's surface is 9.80 m/s2. What is the acceleration at…

A: Planets have a large amount of mass and hence a large gravitational field. They will attract…

Q: A 15 kg ball is thrown straight upward with a speed of 22 m/s. What is the maximum height the ball…

A: Given,Mass (M) = 15 kg Initial speed (u) = 22 m/s Also, we know Acceleration due to gravity(a) = g=…

Q: A block is sliding along a frictionless surface at 19.1 m/s. The block slides down a hill. At the…

A: Given value--- Initial speed u=19.1m/s Final speed v=37.1 m/s We have to find--- How tall (in…

Q: You throw a m =0.9 kg ball straight up, giving it an initial velocity of magnitude v= 10 m/s.…

A: Given data:  Mass (m) = 0.9 kg Initial velocity (v0) = 10 m/s Acceleration due to gravity (g) = 9.8…

Q: A block is sliding along a frictionless surface at 11.1 m/s.  The block slides down a hill.  At the…

A: Given  Initial speed vi=11.1 m/s Final speed vf=36.5 m/s

Q: Starting from rest, a bus leaves a gas station with a constant acceleration of 2 m/s^2 until it…

A:

Q: A particle moves at 93 m/s when subjected to an acceleration of A = −t2/4 m/s2. How far in meters…

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Q: You are to drive to ah Interview in another town, at a distance km on an expressway. The inter plan…

A: We have givenTotal Distance is to be derive (D)=292 kmDeriving starts at 8:00 am and reaching time…

Q: The trap-jaw ant, found throughout tropical South America, catches its prey by very rapidly closing…

A:

Q: While dusting a bookshelf at the local college's huge library, Jean accidentally knocks a book off…

A:

Q: A soccer ball starts from rest and accelerates with an acceleration of 0.385 m/s? while moving down…

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Q: On her return trip, she drives half the time at 41 mph and half the time at 60 mph. What is her…

A: Distance between Julie and her grandmother's house (d)=112 mi While returning, she drives half of…

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.