body mass 4 kg falls(at rest) from a medium whose resisting force is numerically equal to 0.003v, where v is the velocity in m/s. What is the velocity after 5 seconds?

Q: In a Couette flow, two large flat plates lie one on top of another, separated by a thin layer of…

A: therefore Estimate of velocity is 201.34 +- 0.7

Q: Suppose 100 foot-pounds of work is required to stretch a spring 2 feet beyond its natural length.…

A:

Q: A projectile is shot vertically upward from a point 2 m above ground level with an initial velocity…

A: Topic:- projectile motion

Q: A 40 gal tank initially contains 11 gal of fresh water. At t = 0, a brine solution containing 1.2 lb…

A: Given: The initial volume of water v(0)=11 gallons The initial amount of salt s(0)=1.2 lb Since rate…

Q: a particle moves along a straight line with an acceleration of a= 4sin pye t divided by 2 m/s…

A: Given,      a = 4 sinπet2   dvdt = acceleration

Q: A 100 gal-tank initially contains 50 gal of fresh water. At t = 0, a salt solution containing 1 Ib…

A: Given: A 100 gal-tank initially contains 50 gal of fresh water. At t=0, a salt solution containing 1…

Q: takes 90 J of work to stretch a spring 1 m from its equilibrium position. How much work is needed to…

A:

Q: A heavy-duty shock absorber is compressed 2 cm from its equilibrium position by a mass of 500 kg.…

A: Let K be spring constantThen ,Kx2x10-2=500x9.8⇒K=245000 N/m

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

A: Given problem is :

Q: A boat with its load weighs 1,435 N. If the force exerted upon the boat by the motor in the…

A: F=72- 2vma = 72- 2v14359.81 dvdt=72-2v∫(146.3) dv72-2v=∫ dtt=-146.32ln(72-2v)+Cv=0 at…

Q: 9) A 120 V potential difference is applied to a space heater that dissipates 1000 W during…

A:

Q: A 6.3-kg box is being lifted by means of a light rope that is threaded through a single, light,…

A: h = 1.5 mt = .42 sh = 1/2 * a * t^2====> a = 2h / t^2 = 3 / .1764 = 17.00 m/s^2final velocity, v…

Q: A 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1…

A:

Q: A boat with its load weighs 1,328 N. If the force exerted upon the boat by the motor in the…

A:

Q: The submarine U.S.S. Dallas shoots a torpedo at the Soviet submarine V.K. Konovalov, which is 6732…

A: Use the equations of motion to solve the following problem. Use the given data and proper equation…

Q: A tank is initially filled with 1000 gal. of salt solution containing 500 H of salt. Fresh water…

A: Let At the amount of salt at the time t Then the rate of change of the amount of salt dAdt=0lbL.10…

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: The solution are next step

Q: 7. A body of mass 1 slug is dropped with an initial velocity of 1 ft/sec and encounters a force due…

A:

Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 2 inch(es) per…

A: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 2 inch(es) per…

Q: A parachutist whose mass is 65 kg drops from a helicopter hovering 1500 m above the ground and falls…

A: Let y (t) be the Parachutist’s height above the ground. y (0) = 1500 m  ,  y’(0) = 0 and m y’’+ b y’…

Q: A skydiver weighing 120kg drops vertically from a jet flying at 4.000m. Assume the force due to air…

A: Let anet, v be instantaneous acceleration and velocity, respectively.  Net force, Fnet=120 kg·anet…

Q: A motorboat weighs 32,000 lb and its motor provides a thrust of 5000 lb. Assume that the water…

A:

Q: mass of 1.75 kg is attached to the end of a spring whose restoring force is 100 N/m. The mass is in…

A:

Q: A Styrofoam cooler contains ice at 0° C. The cooler is left outside where the temperature is 30.° C.…

A: Given data: The cooler contains ice at 0°C, i.e. 273K The outside temperature is 30°C, i.e. 30+273K,…

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Given the initial velocity of the ball is u=36 m/s, the acceleration is f=-9.8 m/s2 and was launched…

Q: Consider a falling object of mass 5 kg that experiences the drag force, which is assumed to be v =…

A: We will solve the differential equation to get velocity at time t , The for limiting velocity find…

Q: A tank with a capacity of 400 gal originally contains 150 gal of water with 25 lb of salt in…

A:

Q: A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the…

A: given,

Q: A ball is thrown upward from a height of 12.5 m at an initial speed of 30 m/sec. Acceleration…

A: Consider the height: H=12.5 m and initial speed: u=30m/sec The velocity function is given by v(t)=…

Q: 14. In the theory of relativity, the mass of a particle with velocity v is то m where m, is the mass…

A:

Q: A sailboat is running along a straight course with thewind providing a constant forward force of 50…

A: Given: A sailboat is running along a straight course with thewind providing a constant forward force…

Q: 8. An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec. . If…

A: Given that  Velocity of express train =40km/hr  Breaks apply at 50sec Retardation =0.5m/sec^2 To…

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

A:

Q: An object of mass 20 kg is released from rest 4000 m above the ground and allowed to fall under the…

A:

Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 25 m/sec. Acceleration…

A: g = -9.8 m/s2 v0 = 25 m/s h0 = 1.5 m   h(t) = -(g/2)t2 + v0t + h0 h(t) = -4.9 t2 + 25 t + 1.5…

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A:

Q: A ball is thrown upward from a height of 3.6 m at an initial speed of 63 m/sec. Acceleration…

A:

Q: A tank with capacity of 300 gal of water originally contains 200 gal of water with 100 lb of salt in…

A:

Q: A sky diver weighing 192 lb (including equipment) falls vertically downward from a very high…

A: Given:

Q: A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the…

A:

Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

A:

Q: A projectile is fired vertically upward with an initial velocity of 210 m/sec from a point 2 m above…

A: projectile motion

Q: A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution  containing 1…

A: It is given that a 50 gallon tank initially contains 10 gallon fresh water. A brine solution with 1…

Q: A shell of mass 10 kg is shot upward with an initial velocity of 250 m/sec. The magnitude of the…

A: Given the initial velocity that is v(0) = 250 m/sec. Mass of shell m = 10 kg. Acceleration due to…

Q: A tank contains 1000 liters (L) of a solution consisting of 195 kg of salt dissolved in water. Pure…

A: Solution is given below:

Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 45 m/sec. Acceleration…

A: Given that the initial speed=v0=45Initial height=h0=1.5Acceleration=a=-9.8So using the relation…

Q: A 60-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 Ib…

A: