A time-dependent force,  = (9.20 - 3.80t) N (where t is in seconds) is applied to a 2.00 kg object initially at rest. (a) At what time will the object be moving with a speed of 15.0 m/s? (b) How far is the object from its initial position when its speed is 15.0 m/s? (c) Through what total displacement has the object traveled at this moment?

Q: In Newton's second law experiment, the time (t) needed to cover a fixed distance (S= 0.800 m) is…

A: Given relation is, t2=2SMTm2g Fixed distance is S=0.8 m. Slope is dt2dMT=1.63. Gravitational…

Q: There is a particle with mass m = 2 kg attached to a smooth wire that is positioned horizontally so…

A: Force along the horizontal constraint Fx=Fcosθ(t)=Fcos0.2t+0.3

Q: A time-dependent force,  = (7.40i - 3.80tj) N (where t is in seconds) is applied to a 2.00 kg object…

A:

Q: Starting from rest, a 64.0 kg woman jumps down to the floor from a height of 0.610 m, and…

A: Consider the impulse on the woman from the floor is, I=∫00.8009200t-11500t2dt=981 N.s The speed when…

Q: A mysterious rocket-propelled object of mass 45.0 kg is initially at rest in the middle of the…

A: From Newton’s second law of motion: Rearrange and integrate the above expression.

Q: A particle of mass 1.29 kg is subject to a force that is always pointed towards the North but whose…

A:

Q: A body of mass 3.56 kg is moving toward x direction with the velocity V = (a-bt)(c-dt), where t is…

A: V= (a-bt)(c-dt)  a= dV/dt = (c-dt)×d(a-bt)/dt + (a-bt)×d(c-dt)/dt => a= (c-dt)×(-b) + (a-bt)×(-d)…

Q: the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball…

A: We have given that the mass of the ball is m and it has an initial velocity of 0, a ball dropped…

Q: Two forces, F, (5.80l + 3.955) N and F,- (3.90i + 7.65j) N, act on a particle of mass 1.90 kg that…

A:

Q: According to legend, Galileo Galilei dropped two balls of different mass from the top of the leaning…

A: Gravity acceleration at Earth’s surface has been measured many times. In British Imperial Units,…

Q: According to a simplified model of a mammalian heart, at each pulse approximately 20 g of blood is…

A: Given  mass(m)=0.02 kg initial speed(u)=0.26 m/s final speed(v)=0.34 m/s time(t)=0.09 s Required…

Q: A particle of mass 1.06 kg begins at rest and is then subject to a force in the positive x direction…

A:

Q: A particle of mass 0.75 kg is subject to a force that is always pointed towards the East but whose…

A: Given data: Mass of the particle, m=0.75 kg Magnitude of the force, F=5t Initial velocity, u=13.4…

Q: An athlete approaches the bar in a running broad jump competition with a velocity of 7.85 m/s. The…

A: Given that:Horizontal velocity, vx=7.85 m/sVertical displacemnet, h=55 cm=0.55 m

Q: A car traveling at 20 m/s runs into a bridge abutment and crumples for 1.2 m before coming to a full…

A: Given: The intial speed of the car is 20 m/s. The distance traveled by car is 1.2 m. The final speed…

Q: A 2kg body has an initial velocity of 10m/s and is then pulled 4 meters by a force of magnitude 25N…

A:

Q: A hammer of mass m = 0.455 kg is moving horizontally at a velocity of v = 4.5 m/s when it strikes a…

A: Given: The mass of the hammer is 0.455 kg. The initial velocity is 4.5 m/s. The final velocity is 0…

Q: If the only forces acting on a 2.0kg mass are F1=(3i-8j)N and F2=(5i+3j)N, what is the magnitude of…

A: The net force acting on the particle is given by, F→net=F1→+F2→=3i^-8j^N+5i^+3j^N=8i^-5j^N

Q: A 2.7 kg mass is initially t rest while upon a horizontal surface. An applied force f 16 N is…

A:

Q: A dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of θ to the…

A:

Q: Two constant forces act on an object of mass m = 5.90 kg object moving in the xy plane as shown in…

A:

Q: A block of mass m = 16.8 kg is sliding on a surface with initial velocity v = 23.2 m/s. The block…

A:

Q: If a 6.0 x 10-3-N friction force opposes the transporter's motion, what must be the magnitude of Q…

A:

Q: The collar of mass m = 2.0 kg slides on the rough horizo variable direction. If 0 = 0.46t, and if…

A: We know that We have given the system in the figure as  We know that We have given that The collar…

Q: According to a simplified model of a mammalian heart, at each pulse, approximately 20 g of blood is…

A: Given data The mass of the blood is given as m = 20g. The initial velocity of the blood is u = 0.26…

Q: Paleontologists estimate that if a Tyrannosaurus rex had tripped and fallen, the ground would have…

A:

Q: The crate, which has a mass of 100 kg, is subjected to the action of the two forces. If it is…

A:

Q: he same sum of forces is exerted for the same time interval on an object with hass "m" and an object…

A: Impulse = force × time duration for which force is applied

Q: A 12.0-kg body initially traveling at 8.00 m/s subsequently experiences a net, constant force that…

A: Given,mass of the object, m = 12.0 kginitial speed, u = 8.00 msfinal speed of the body, v = 18.0…

Q: Objects of masses m, = 4.00 kg and mn, = 9.00 kg are connected by a light string that passes over a…

A: Using the kinematic equation for the motion of m2 d=vit+12at2d=0+12at2a=2dt2Inserting…

Q: A Block of mass m is moving to the left with a velocity of magnitude v1. At t=0 a force is exerted…

A: Given that mass of block = mWe know that ,            Force exerted will be equal to ma - iAs…

Q: Show that the acceleration of any object down an incline where friction behaves simply (that is,…

A:

Q: Two forces, F, = (-5.80î – 3.95j) N and F, = (-3.70î – 5.95j) N, act on a particle of mass 2.30 kg…

A:

Q: The system, which was initially at rest moves with acceleration a after it is released. Find the…

A:

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: Two forces, , = (-2.65î + 4.10j) N and F, = (-4.50î + 7.10j) N, act on a particle of mass 2.30 kg…

A:

Q: According to a simplified model of a mammalian heart, at each pulse approximately 20 g of blood is…

A:

Q: The crate, which has a mass of 100 kg, is subjected to the action of the forces. If it is originally…

A:

Q: A 2.0 kg projectile with initial velocity v→ = 6.5i m/s experiences the variable force F→ = -2.0ti…

A:

Q: A 2.9 kg mass is initially at rest while upon a horizontal surface. An applied force of 16 N is…

A:

Q: A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8…

A:

Q: Two blocks with masses M| and M2 are connected by a massless string that passes over a massless…

A: M1= 2.25 kg , u1= 0.205 ,42.5° M2= 7.35 kg, u2= 0.105 ,34.5°

Q: A 2.5 kg mass is initially at rest on a horizontal surface. An applied force acts in the +x…

A: Given information: Here, m is the object’s mass, x is the object’s position at which the object’s…

Q: An object with mass m = 34 kg is pushed with 452 N of force to be moved across a distance of 4.6 m…

A:

Q: A block with mass m1 = 8.1 kg rests on the surface of a horizontal table which has a coefficient of…

A:

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: