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: weighing 82 kg ( including equipment ) falls vertically downward from an altitude of 1500 meters,…

A: Mass of sky driver "m"= 82kg  Altitude = 1500m  Time " t" = 10 sec . K1= 1.65 kg/ sec and k2= 26.4…

Q: When two objects are in contact with no relative motion, which of the following statements about the…

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Q: A freight train has a mass of 1.5x 10^7kg. If the locomotive can exert a constant pull of 7.5x 10^5N…

A: Mass of the train is m=1.5×107 kg The locomotive can pull with a force, F=7.5×105 N As the the train…

Q: A block of mass 14kg slides on a horizontal rough surface with constant speed and is being pulled by…

A: Mass of block: m = 14 kg Acceleration of block: a = 0 m/s2 Force applied on block: F = 34N

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A: 21) Draw the free-body diagram of the hanging object.

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Q: Block A, having a mass of 15 kg, is placed on top of block B, having a mass of 30 kg, on a…

A: To find the force applied on block B with the condition of not letting block A slip-on B, the…

Q: Starting at t = 0 a net external force in the +x-direction is applied to an object that has mass…

A: The straight-line equation of Force v/s time with slope 3.00 N/s graph is given as, but the force…

Q: A 0.260 kg particle moves along an x axis according to x(t) = - 10.0 + 3.00 t + 4.00 t2 - 6.00 t³,…

A: Newton's Second Law of Motion : Newton's second law says that the acceleration of an item is…

Q: At t = 0, an object of mass m is at rest at x = 0 on a horizontal, frictionless surface. A…

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Q: a 10kg crate is being pulled with a force of 4ON at an angle 30degrees. With the normal force you…

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Q: A stockroom worker pushes a box with mass 16.8 kg on a horizontal surface with a constant speed of…

A: Answer             32.928 N

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Q: A 0.150 kg particle moves along an x axis according to x(t)=-13.00 + 2.00t - 4.00t2 -3.00t3, with x…

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Q: Answer the word problem below with given and solution. 1.) Starting from rest, a 3.5 kg object…

A: The equations of motion are v=u+ats=ut+12at2v2=u2+2as

Q: 15. A box of mass 4.0 kg rests on a horizontal surface. When the box is pulled by a horizontal force…

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Q: A student applies a constant force of 200 N directed 30 degrees above the horizontal and thereby…

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Q: A spaceship lifts off vertically from the Moon, where g = 1.6 m/s2. If the ship has an upward…

A: Given: g =1.6 m/s2 a = 1 m/s2 upwards  W = 735 N on earth

Q: A 3.20-kg object is moving in a plane, with its x and y coordinates given by x = 3t2 − 4 and y = 2t3…

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Q: A 2 kg golf ball moves along an x axis according to x(t) = 1013 – 2.80f2 + 7.4t + 15, with x in…

A:

Q: In the figure, a crate of mass m = 88 kg is pushed at a constant speed up a frictionless ramp (0 =…

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Q: A 0.150 kg particle moves along an x-axis according to x(t)=-13.00 + 2.00t + 4.00 t^2-3.00t^3, with…

A: The acceleration of the particle at the given time is,

Q: A 0.260 kg particle moves along an x axis according to x(t) = - 10.0 + 3.00 t + 4.00 t² - 6.00 t³,…

A:

Q: A typical car travels a distance of 100 km at 110 km/h. It then repeats the journey at 70 km/h. What…

A: According to question --- Given data --  distance - 100 km. first speed (v1) - 110 km/h. second…

Q: In the figure, a crate of mass m = 100 kg is pushed at constant speed up a frictionless ramp (0 =…

A: The force acting on te crate are gravitational force, horizontal force and the normal force.

Q: he movers are trying to get a heavy crate (mass m) up a ramp into the loading dock of a uilding. One…

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Q: A 5-kilogram object is moving in a plane, with its x and y coordinates given by: x(t) = 5t2? 1 ,…

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Q: A force is applied to accelerate an object on a smooth icy surface. When the force stops, which of…

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Q: If there are no non-conservative forces to worry about, what is the magnitude of the applied force…

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Q: 13. A 1.5-kg cart is pulled with a force of 7.3 N at an angle of 40° above the horizontal. If a…

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Q: A box rests on a frozen pond, which serves as a frictionless horizontal surface. If a fisherman…

A: Using Newton's 2nd law: F_net = m*a m = mass of box = ? a = acceleration of box  = 3.50 m/s^2 F_net…

Q: Two forces FA and FB are applied to an object whose mass is 11.8 kg. The larger force is FA.When…

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Q: A 6.00 kg crate is suspended from the end of a short vertical rope of negligible mass. An upward…

A: Write the given expression for position

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Q: For t < 0, an object of mass m experiences no force and moves in the positive x direction with a…

A: It is given that,

Q: For t< 0, an object of mass m experiences no force and moves in the positive x direction with a…

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Q: A 4 kg block is sliding down a vertical wall while being pushed by an external force as shown in the…

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Q: A box of mass 25 kg on a rough inclined plane is pulled by a force F. The magnitude of frictional…

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Q: A block of mass M is suspended at rest by two strings attached to walls, as shown in the figure. The…

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Q: A helicopter (of mass 2500 kg) produces a lift force of 18000 N directed at 75 degrees above the…

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Q: The figure shows an initially stationary block of mass m on a floor. A force of magnitude 0.500mg is…

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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: