Suppose an object is acted upon by a constant force F. Find V(t) and S(t). By Newton's law F=ma, so the acceleration is F/m, where m is the mass of the object. V = Vo & S = So when t = to

Q: 9. Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a…

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Q: Suppose that 2 J of work is needed to stretch a spring fromits natural length of 30 cm to a length…

A: Stretched distance = 42-30 =12  cm = 0.12 m  Let F=kx [ by Hooke's law ]  So,

Q: A spring whose natural length is 15 cm exerts a force of 45 N when stretched to a length of 20 cm.…

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Q: A particle is moved along the x-axis by a force F (x) = 6x² + 4x - 2. How much work is done in…

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Q: An object has a weight of 60 N at a point where the acceleration due to gravity is g 10 m/s². What…

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Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

A: NOTE: Refresh your page if you can't see any equations. . Natural Length=24 cm=0.24 m Extended…

Q: Suppose it takes a force of 30 N to hold a spring that has been stretched from its natural length of…

A: Given, F= 30 N x1= 6 cm= 0.06 m x2= 8 cm= 0.08 m

Q: The acceleration of an object is given by a(t)=cos(πt), and its velocity at time t=0 is 1/(2π) when…

A: The acceleration of an object is given by a(t)=cos(πt), and its velocity at time t=0 is 1/(2π) when…

Q: A body of mass 1 slug is dropped with an initial velocity of 1 ft/sec and encounters a force due to…

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Q: How much work is required to move an object from x=4 to x =11 (measured in meters) in the presence…

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Q: A spring has a stiffness of k = 22.0. When no force is applied to it, the coils are held tightly…

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Q: A boat is being towed at the rate of 12 mi/hr. At the instant (t=0) that the towing line is cast…

A: This is differential equation problem

Q: (b) A spring exerts a force of 4.2N when stretched 0.7m beyond its natural length. How far beyond…

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Q: A spring has a natural length of 1 m. A force of 24 N holds the springstretched to a total length of…

A: Force, F = k(x - x0) F = 24N k = ??? x = 1.8 m x0 = 1 m

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = and the initial…

A: By using the general formula of Newton's law of motion, we can calculate the position of particle at…

Q: 3. Use the given acceleration function to find the velocity and position functions, and then find…

A: The given vectors are: a(t)→=i^+2j^+k^v(0)→=2j^r(0)→=i^   The relations between position, velocity…

Q: -A ball is dropped from a viscous fluid frcm rest with a resisting force numerically equai to 0.01V…

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Q: A force with magnitude 35 N acts directly upward from the xy-plane on an object with mass 7 kg. The…

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Q: A spring has natural length 27 cm. Compare the work (in J) W, done in stretching the spring from 27…

A: Let a spring with spring constant k, has initial length=L, applying a force it new length =x+L, that…

Q: A cable exerts a constant upward tension of magnitude 2.14 ✕ 104 N on a 2.00 ✕ 103 kg elevator as it…

A: A cable exerts a constant upward tension of magnitude 2.14 ✕ 104 N on a 2.00 ✕ 103 kg kg elevator as…

Q: A seasoned parachutist went for a skydiving trip where he performed freefall before deploying the…

A: The False Position (also known as the Regula-Falsi) method uses the formula:…

Q: 18. A spring has a natural (unstretched) length of 1 meter. If a force of 10 newtons is required to…

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Q: Calculate a P/aT and a P/ƏV, where pressure P, volume V, and temperature T are related by the Ideal…

A: Given ideal gas law equation - PV = nRTPart (a) - P = nRTVPartially differentiating P with respect…

Q: Find the position function s(t) for the given acceleration function and conditions: a(t) = −2t+7,…

A: The acceleration function,a(t)=-2t+7, s(1)=8, v(2)=-3

Q: When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: Given  m=2.60 kgd=3.22 cm

Q: A 69-kg base runner begins his slide into second base when he is moving at a speed of 4.6 m/s. The…

A: given speed u=4.6 m/s coefficient of friction μ=0.70 a) How much mechanical energy is lost due to…

Q: If a force of 1.15 x 103N is required to lift an object with a uniform velocity, determine the mass,…

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Q: A 12.0-kg box (m,) is connected to an empty 2.00-kg bucket (m2) by a cord running over a very light…

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Q: The automobile has a mass of 2 Mg and the center of mass at G. Determine the towing Q3 30 force F…

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Q: A body of mass 1 slug is dropped with an initial velocity of 1 ft/sec and encounters a force  due to…

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Q: Suppose that 4 Joules of work is needed to stretch a spring from its natural length of 11 cm to a…

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 28 cm to a length…

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Q: When a particle of mass m is at (x, 0), it is attracted toward the origin with a force whose…

A: Given: When a particle of mass m is at (x, 0), it is attracted toward the origin with a force whose…

Q: A particle is thrown vertically upwards in the air. The distance it covers in time t is given by…

A: We will be using the fact that rate of change in distance is called velocity. v(t)=dsdt

Q: A 10 kg box is pulled to the right by 50 N force. If the friction force is 12 N, then the…

A: Given,  Force =50N Friction force =12N Mass= 10kg

Q: The impulse's magnitude may find thru the product of , and a. mass, velocity force, displacement C.…

A: The impulse's magnitude may find the product of force and time.

Q: Use the concept of Particular Antiderivatives and Rectilinear Motion to answer the problem below:…

A: To find out the maximum height

Q: 5. The total force (in Newtons) on a dam having width w meters and holding back a column of water H…

A: The force can be found by intrgration.

Q: The velocity of a particle in reference frame A is (4.0 î + 5.0 f) m/s. The velocity of reference…

A: Given: velocity of a particle with respect to frame A=4i+5j  velocity of frame A with respect to…

Q: Since it is known that the pouring time (T) of the sand in an hourglass depends on the height of the…

A: It is given that Since it is known that the pouring time (T) of the sand in an hourglass depends on…

Q: The drag force, FD, acting on an immersed body by a moving fluid can be calculated as PU? F = CpA! 2…

A: From the given information, FD=CDAρU22 And CD=0.6A=10ρ=1.94 Therefore, FD=CDAρU22…

Q: The force, F, acting on a constant mass, m, moving at a velocity, v, is given by: F = m dv Newton dt…

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Q: Assume that a spring does not follow Hooke’s Law. Instead, the force required to stretch the spring…

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Q: In the figure particle 1 of charge +5e is above a floor by distance d1= 4.60 mm and particle 2 of…

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Q: A proton traveling at 31.0° with respect to the direction of a magnetic field of strength 3.23 mT…

A: This question can be easily calculated by applying the concept of motion of particle in a magnetic…

Q: An object experiences acceleration as given by: a(t) = e3t – 2 , v(0) = 1 and y(0) = 3 Determine the…

A: Given,          An object experiences acceleration as given by :          at=e3t-2 , v0=1 and y0=3

Q: Give a physical interpretation of JT. F.ndS.

A: This expression is of surface integral for calculating the area of the field bounded in the…

Q: It follows from Coulomb’s law in physics that two like electrostatic charges repel each other with a…

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Q: A mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force…

A: Maximum amplitude of a driven, damped oscillator can be found using the relation Amax=F02γmω02-γ2…