5) Assume the resistive force acting on a speed skater is proportional to the square of the skater's speed v and is given by f= - kmv², where k is a constant and m is the skater's mass. The skater crosses the finish line of a straight-line race with speed v; and then slows down by coasting on her skates. Show that the skater's speed at any time t after crossing the finish line is v(t) = v;/(1+ktv;).

Q: A 800 kg car is traveling down a highway at 13.0 m/s when the driver notices a turtle in the middle…

A: Given Data: The mass is, m = 800 kg. The velocity is, v =13 m/s. The displacement is, d = 18 m.…

Q: The parachute on a race car of weight 8,815 N opens at the end of a quarter-mile run when the car is…

A: Given: The weight of the parachute is 8815 N. The initial speed is 33 m/s. The final speed is 0 m/s…

Q: When starting a foot race, a 70.0-kg sprinter exerts an average force of 650 N backward on the…

A: We have to determine the final speed of the sprinter.

Q: When starting a foot race, a 68.6 kg sprinter exerts an average force of 704 N backward on the…

A: Given: The mass of sprinter (m) = 68.6 kg. Force exerted F = 704 N. Time (t) = 0.813 s.

Q: A baseball pitcher throws a ball straight up into the air at a speed of 21.5 m/s. In the process, he…

A:

Q: The small cart of mass m is nudged with negligible velocity from its horizontal position at A onto…

A: Draw the free-body diagram of the system.

Q: A skier starts stationary at the top of a 20 m long slope and begins to descend. The skier's…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: A car of mass m travels along the cloverleaf interchange. The position of the car is given by where…

A: Analyze the FBD of the car at position A given as follows:     Here, W, f, N, and FC are the car’s…

Q: Q2)(" of a fixed sphere of radius R, where R>> size of the block. The surface of the sphere is…

A:

Q: A city planner is working on the redesign of a hilly portion of a city. An important consideration…

A:

Q: The force acting on a skater of mass 73.4 kg is attenuated with her speed v as F=-1.23*v2, where v…

A: Given that: Mass of skater, m=73.4 kgF=-1.23 v2Initial speed, vi=4.06 m/sInitial speed, vf=2.24…

Q: None

A: Step 1: Step 2: Step 3: Step 4:

Q: A 0.6 ton motor is moving on a leveled highway at a speed of 108 km/hr. How large is a retarding…

A:

Q: 7) A 4 kg block initially at rest is pulled by an 80 N force at 30° on a surface with a coefficient…

A: Given: A block of mass 4kg pulled by a force of 80N with 30° with surface . Coefficient of friction…

Q: If a 1.6 kg object is initially at rest on a frictionless, horizontal surface and subjected to a…

A: Given data:  Mass (m) = 1.6 kg Initial velocity = 0 m/s Force (F) = 12.2 N Distance (d) = 3.99 m…

Q: A particle of mass 3 kg is moving with constant velocity of magnitude 10 m/s for 20s. The magnitude…

A: Mass of the body m=3 kg Velocity of the body v=10 m/s Time for which the body moves with constant…

Q: A 20 N force is applied on a 2-kg block, initially at rest on a horizontal surface with coefficient…

A:

Q: ) Friction on inclined surface: A cable pulls a 30.0-kg crate by a distance of 3.00 meters up along…

A:

Q: traveling at a speed of 50 m/s. But the driver noticed that the bridge 300-m ahead is missing. At…

A: Given data: The mass of the train is m=20×103 kgm=20×103 kg. The speed of the train is v=50 m/s =50…

Q: Give one example in each of the following cases where a force: (a) Stops a moving body (b) Moves a…

A: A force is a push or a pull on an object. A  force can change the state of motion. A change in…

Q: 5) A ball is thrown at an original speed of 8.0 m/s at an angle of 35° above the horizontal. If…

A: Given , initial speed of ball , u = 8.0m/s Angle is 350 above the horizontal. If there is no air…

Q: During walking, a 90 kg older adult starts at rest and begins moving (on carpet, coefficient of…

A:

Q: ) On a frictionless incline, an object with mass of 10.0 kg slides a total distance of 5.00 m before…

A:

Q: When a car comes to a stop on a level highway, what force causes it to slow down? When the car…

A: When we apply break on a moving car then force of friction is acting on the wheels of the car and…

Q: 5) (ex) Mass on incline: A cable pulls a 30.0-kg crate by a distance of 3.00 meters up along a…

A:

Q: If a 2.3 kg object is initially at rest on a frictionless, horizontal surface and subjected to a…

A: Mass, m = 2.3 kgForce, F = 10.2 NDistance, s = 4.1 mThe equation of motion we use to solve this is,…

Q: 1 kg is released from height h, 1) In Figure, a block with mass m friction until it reaches the path…

A: (A)Till 'A' since there is no friction ,energy will be conserved.initial PE = KE at "A"mhg =…

Q: A 22 kg box is given a short push up a ramp that makes an angle of 50°. The coefficient of kinetic…

A: Given,

Q: A worker pushes a 35.0-kg package on a horizontal roller-belt conveyor until it reaches a certain…

A:

Q: A car and driver of total mass 1350kg are moving at 30 m/s on a horizontal road when the driver sees…

A: This problem is under constant acceleration motion because the force acting on the vehicle is…

Q: An  athlete  slides  down from  rest  40.0  meter  along an  icy  hill  which  is  35 degrees  from…

A: Initial speed (u) = 0 msAngle of hill (θ) = 35oLength of hill (L) = 40 m coefficient of kinetic…

Q: Princess Leia once fell out of the spaceship.  She came back with the Force.  From the farthest spot…

A:

Q: Two identical arrows, one with twice the speed of the other,are fired into a bale of hay. Assuming…

A: Given,  the masses of both arrows, m speed of arrow-1, v1 Force and displacement of arrow-1, F1 and…

Q: A car of mass 1650 kg, initially at a speed of 70km/h, crushes into a wall, if the accident lasted…

A:

Q: A man (mass 45 kg) shoots himself out of a cannon straight upward with an initial velocity of 46 m/s…

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Q: 69. •A locomotive pulls 10 identical freight cars. The force between the locomotive and the first…

A: Using Newton's Second law of motion F = ma Where F = Net external force on the object, m = mass of…

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: