If a single constant force acts on an object that moves on a straight line, the object’s velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vi − kx, where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.

Q: A skier descends along a slope that has an incline of 15.0o . Assuming the slope is frictionless,…

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Q: A student in Physics 211 decides to do an experiment. They travel to a city and climb to the roof of…

A: height of building (h) = 300 m initial velocity of first rock (u1) = 0 msinitial velocity of second…

Q: 19. Given the v-t graph find the instantaneous acceleration at time t=1s and the average…

A: Given: A v-t graph To find: Instantaneous acceleration at time t=1s Average acceleration from time…

Q: A single-stage rocket is launched vertically from rest, and its thrust is programmed to give the…

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Q: Consider an object sliding down a frictionless ramp that is inclined an angle above the horizontal.…

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Q: The acceleration of a falling object decreases by kv? due to air resistance. Find the expressions V=…

A: Given: The acceleration of the object decreases by kv2. Introduction: Air resistance describes the…

Q: An elevator filled with passengers has a total mass of 1960 kg and is suspended from a single cable.…

A: Total mass of elevation with passengers m = 1960 kgInitial the elevator is at rest so, u = 0The…

Q: A physics book slides off a horizontal tabletop with a speedof 1.10 m/s. It strikes the floor in…

A: Given:  The velocity of the book along x-axis is vx=1.10 m/s. The time at which it strikes the…

Q: Your grandfather had to walk to school uphill, both ways, but one way he went at 5.0 km/hr, and the…

A: Given: Speed of the walking to school from home  v1 = 5.0 km/hr  Speed of the walking to home from…

Q: The pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as…

A: Given, Acceleration, a=0.36ga=0.36×9.8a=3.528m/s2 Initially jet is at rest. u=0 Final velocity at…

Q: the elevator's speed at

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

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Q: A force applied to an object resulted in a displacement of x=7.1±012 during a time of t=0.35±0.22.…

A: Displacement is the distance between initial and final position of object. It is a vector quantity…

Q: 2. A crate is given an initial speed of 3.0 m/sup a 25° inclined plane. As (a) What is the…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: A rocket sled having an initial speed of 107 mi/h is slowed by a channel of water. Assume that…

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Q: Assume that you are driving down a hill in Jabaal Akhdar in a winter season. The inclination of the…

A: Given: angle of inclination: 7.8o μk=0.2 component of gravity acting on the car down the hill= g…

Q: magnitude of the average acceleration

A: Given data: Final speed v= 5.27 m/s Time t=1.14s

Q: The head injury criterion (HIC) is used to assess the likelihood of head injuries arising from…

A: Let F denote the force, m denote the mass, aavg denote the average acceleration. Therefore,

Q: A graph of v(t) is shown for a world-class track sprinter in a 100-m race. (See figure below. For…

A: Average velocity is given by, vavg=Total displacementTotal time. Displacement is given by the area…

Q: 2. Suppose an object with initial temperature To is placed in a sealed container, which is in turn…

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Q: If an object starts at x(0) = 0, v(0) = 1, and undergoes a constant acceleration a = -3 m/s^2, plot…

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Q: The position of an object as a function of time is x(t) = −7t2 m. What is the velocity at t = 1.18…

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Q: Assume that you are driving down a hill in Jabaal Akhdar in a winter season. The inclination of the…

A: As per the given data, Angle of inclination (θ) = 4.10; Coefficient of kinetic friction (µk) = 0.2;…

Q: A single-stage rocket is launched vertically from rest, and its thrust is programmed to give the…

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Q: Find the velocity of the motorbike, in unit vector notation, when it reaches the maximum y position

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Q: A Bullet with a mass of 5.2 grams is fired out of a rifle. The bullet’s initial velocity is 0…

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Q: As a city planner, you receive complaints from local residents about the safety of nearby roads and…

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Q: The acceleration on a falling cricket ball is not constant due to air resistance.  The time…

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Q: A car is crashed into a tree at the speed of 144 km/h. It took the car 4 seconds to stop. Assume…

A: Questions based on collision

Q: You have put a sonar device at the top of a frictionless inclined plane. That device allows you to…

A: In a right angle triangle  sinθ =PerpendicularHypotenuse

Q: In the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N…

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Q: At the origin, a particle has an initial velocity of 30 feet per second and moves along the x-axis.…

A: Given:-            Initial velocity(u) = 30 ft/s          Acceleration for t = 0 s to t = 5 s (…

Q: An object has a constant acceleration of a=3 m/s^2 without other forces intervening. A second layer…

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Q: An object starts from rest and undergoes a constant acceleration.  It reaches a final velocity of vf…

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Q: A common graphical representation of motion along a straight line is the v vs. t graph, that is, the…

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Q: A block slides down an inclined plane of slope angle θ with constant velocity. It is then projected…

A: Given that, Angle = θ Initial speed = v0

Q: What is the minimum time it will take the elevator to ascend from the lobby to the observation deck,…

A: Given, the following data: mass, m = 2400 kg maximum ascent speed, v1 = 18 m/s Maximum acceleration,…

Q: A rock of mass 51.2 kg accidentally breaks loose from the edge of a cliff and falls straight down.…

A: Given:    mass of the rock (m) = 51.2 kg                   opposing force (R) = 15.7NFind:…

Q: You are an engineer in charge of designing a new generation of elevators for a prospective upgrade…

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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: