A particle of mass 0.75 kg is subject to a force that is always pointed towards the East but whose magnitude changes linearly with time t. The magnitude of the force is given as F = 5t, and has units of newtons. Let the x-axis point towards the East.   Determine the change in the velocity Δv, in meters per second, of the particle between t = 0 and t = 1.2 sec.    Determine the change in x-coordinate in meters of the particle Δx between t = 0 and t = 1.2 if the initial velocity is 13.4 m/s, and pointed in the same direction as the force.

Q: An object has a rest mass of 185.0 kg. As the object moves, it is measured that its mass is 192.0…

A: The speed of the object is  v = 0.2675*c   OR  v = 0.8027*108 m/s

Q: Calculate the initial speed of the ball using the equation At= 2xv,xsinle) if the value of slope…

A: formula : ∆t = 2×vi×Sin(θ)g ∆t is plotted along y axis and Sinθ is plotted along x axis Slope of the…

Q: A 1.5-kilogram block X is hanging by a string. An objectY with a mass of 30.0grams penetrated in the…

A: Correct answer is option (c) i.e. 87.21 m/s

Q: Suppose the particles shown below have masses m, = 0.18 kg, m, = 0.36 kg, m, = 0.54 kg, m, = 0.72…

A: The given masses and there respective velocities are  m1=0.18 kg; m2=0.36 kg; m3=0.54 kg; m4=0.72…

Q: A particle of mass 2.4 kg is subject to a force that is always pointed towards the North but whose…

A:

Q: Obtain the required relation please

A: Using the concept of relative velocity in x-axis;

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A:

Q: The highest spot on Earth is Mt. Everest, which is 8850 m above sea level. If the radius of the…

A: Given thathighest spot on earth is Mt.Everest whichis at a height h=8850 m above sealevelradius of…

Q: Problem 9: A baseball of mass mj = 0.39 kg is thrown at another ball hanging from the ceiling by a…

A:

Q: A free neutron is unstable and spontaneously decays into a proton and an electron. The mass of the…

A:

Q: A 2.0-kg object has a velocity of 4.0i ^ m/s at t = 0. A constant resultant force of (2.0i ^ + 4.0j…

A:

Q: An object of mass 13.8 kg is not moving on a plane with an angle 0, and of u= 0.54, what is the…

A: Given: The mass of an object, m=13.8 kg The friction coefficient of sliding, μ=0.54   It is required…

Q: a. m1 = 1.5806 ; m2 = 0.2911 b. m1 = 0.4851 ; m2 = 1.5806 c. m1 = 1.5806 ; m2 = 0.4851 d. m1 =…

A: Given: The velocity of the first fragment is 1.9 m/s. The velocity of the second fragment is 3.7…

Q: A system of three particles with masses m1 = 3.0 kg, m2 = 4.0 kg and m3 = 8.0 kg is placed on a two…

A: The coordinates of the masses are (x1,y1)=(0 m, 0 m)(x2,y2)=(xs,ys2)=(2 m, 1 m)(x3,y3)=(xs2,ys)=(1…

Q: A particle of temporally dependent mass m (t) moves with velocity v  . The force acting on the…

A: Given data:  Particle of time dependent mass = m(t) Velocity = v, constant Required: The force…

Q: A missile of mass 1.20 x 102 kg is fired from a plane of mass 5.40 x 103 kg initially moving at a…

A: Given, A missile of mass:  mm =1.20 x 102 kg  A plane of mass: mp =5.40 x 103 kg Moving at a speed:…

Q: One way to attack a satellite in Earth orbit is to launch a swarm of pellets in the same orbit as…

A: (a)In reference plane of the satellite the velocity of the pellets will be in opposite…

Q: If the velocity of a body is halved its kinetic energy ________________. A) become 4 times B)…

A: The kinetic energy is given by  K = 0.5 mv2  where, m is the mass and v is the velocity.

Q: A 300 kg space probe in deep space has an initial velocity v =(12,–9,20) km/s. It fires its thrusts…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The center of gravity coincides with the center of mass: O if the body has a uniform distribution of…

A: Center of mass is the point where whole mass of the body is supposed to be concentrated. Center of…

Q: It is found that when a particular object with a mass of 0.41 kg is released from rest while…

A: Given data: Mass of the object, m = 0.41 kg, Coefficient of proportionality in the resistive force,…

Q: A block of mass 0.2 kg is launched by a spring k1= 2.0 N/m. The block moves along a frictionless…

A: Energy of spring 1 = energy of spring 2 12k1x12 =12k2x22 x2 = 0.0466 m

Q: When an astronaut experiences weightlessness in deep outer space,  is she at equilibrium?  She may…

A: When an astronaut experiences weightlessness in deep outer space,  is she at equilibrium?  She may…

Q: consider particle A of mass mA being somewhere between particle B of mass mB=2000 kg and particleS…

A:

Q: If the total momentum of a particle system is changing with time then we can state that: a) The…

A: We know that according to Newton's  second law rate of change of momentum of a partice  is called…

Q: The acceleration of a particle moving along the 7. x-axis is given by the function a, = -7 ť + 4 t*…

A:

Q: The last stage of a rocket, which is traveling at a speed of 8300 m/s, consists of two parts that…

A:

Q: 1. Sphere A has mass ma = 0.05 kg, velocity magnitude va = 2.0 m/s making an angle = 30° with the +…

A:

Q: an object in motion has a mass of 12kg and travels in the air with a velocity 0.82 what would be its…

A:

Q: Find the kinetic energy for two masses, m1=(64±3)Kg and m2=(136±4)Kg, traveling together at a…

A:

Q: Consider the system in figure 28 ,write the equation of motion and calculate the response assuming…

A: Given : m=89kg              k1=100N/m              k2=500N/m              F=10sin10t   Let us…

Q: At what altitude h above the north pole is the weight of an object reduced to one-half of its earth-…

A:

Q: Suppose we have a dense particle with mass 7 kg which follows the path r(t)=⟨sin(8t),cos(2t),2t9/2⟩…

A:

Q: A spacecraft cruising in space at a constant velocity of 2000 ft/s has a mass of 25,000 lbm. To slow…

A: a) Apply the conservation of momentum before and after 5 sec,…

Q: Given the fact that water has less mass per cubic meter than soil and rock , would you expect the…

A: Write the expression for the gravitational force, and reframe it in terms of density (ρ) and volume…

Q: A neutron particle (mass= 1.0 u) is emitted from an atomic nucleus in the direction of its velocity.…

A: Initial momentum of the system =mass of the nucleus*speed of the nucleus =180*395 Let the speed of…

Q: two cars, A and B, have a mass of 2 Mg and 1.5Mg, respectively. Determine the magnitudes of vA and…

A: Mass A = M  = 2Mg Mass of B = m = 1.5 Mg final speed = 50 km/hr  = 50 * 5/18  = 13.89 m/sTherefore,…

Q: Three objects of different masses (1 k, 5 kgs and 10 kgs) are all launched at the same  angle (45°),…

A: It is required to discuss the range of some projectile motion. Firstly, three masses of 1kg, 5kg,…

Q: Scientists design a new particle accelerator in which protons with mass m = 1.7 · 10-27 (kg) follow…

A: (a)   The radius of the circle can be determined as follows.…

Q: A particle of mass M which was at rest initially, suddenly splits into two smaller particles with…

A: Given data:  Initial mass of particle = M Initial velocity of mass M is v = 0 After split into two…

Q: A child bounces a 50-gram superball on the sidewalk. The velocity of the superball changes from 21…

A: Given Information:- Mass of the superball is m=50g=50g×1kg1000g=0.050 kg. Initial speed of the ball…

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.