An object with mass m is initially at rest at the origin z-0. At time t-0...

Question

Question

science physics

Answer 1

Answer #1

Work done by force = Change in kinetic energy
Initial kinetic energy of the object = 0 as the object starts from rest at t = 0

At time T the kinetic energy of the object = 1/2 m vT²

Work done by force = 1/2mvT²

Also, work done by the force = Force *distance traveled = FxT

Net force = mass *acceleration

a = F/m

1/2aT² = xT

xT = 1/2F/mT2 = FT²/2m

v = aT = FT/m

Option c is correct.

Answer 2

Similar Homework Help Questions

An object with mass m is initially at rest at the origin z 0 . At...

An object with mass m is initially at rest at the origin z 0 . At time t 0 it starts to accelerate with a changing aceleration along the +z direction. At time t = T it is at the point z-ST and its speed is measured as e(T)-vr . 5. If the foroe accelerating the object is of the form F() - Fo (1-)for SS T, what is the power supplied by the force at acoerating the object is...
An object with mass m is initially at rest at the origin z0. At time t-...

An object with mass m is initially at rest at the origin z0. At time t- 0 it starts to accelerate with a changing accelerstion along the +z direction. At timet=Tit is at the point z-rr and its speed is measured ase(T)-vr. 3. How much work in done by the force to acelerate the object during the time interval 77
An object with mAss Im is i along the +z direction. At time t = T...

An object with mAss Im is i along the +z direction. At time t = T it is at the pointz-2T and its speed is measured as v(T) nitially at rest at the origin -0. At time t-0 it starts to accelerate with a changing acceleration 4. What is the (a) 부 average power supplied by the force during the time interval T7 (b) (c) 부 (d) O (e)爭

An object of mass m is initially at rest. After a force of magnitude F acts...

An object of mass m is initially at rest. After a force of magnitude F acts on it for a time T, the object has a speed v. Suppose the mass of the object is doubled, and the magnitude of the force acting on it is quadrupled. In terms of T, how long does it take for the object to accelerate from rest to a speed v now? T′/T T′/T =
[4.] A point object with mass M is subject to a net force changing with time...

[4.] A point object with mass M is subject to a net force changing with time according to: F = ai – Btj with a and ß positive and constant. The object starts at t = 0 at rest and at the origin. a) Find the position of the object as a function of time (F(t)). b) Find the work done by the force between t = 0 and t = to. c) Find the linear momentum of the object...
A particle with mass 4.0 kg is initially at rest at the origin (x=0). It then...

A particle with mass 4.0 kg is initially at rest at the origin (x=0). It then moves along the x-axis acted on by a force F(x)=18.0-2.0x2, where F is in Newtons if x is expressed in meters. Find the kinetic energy of the particle when it reaches x=3 m. A Honda Civic (mass=1090 kg) is initially traveling due East at 18.3 m/s when it suddenly collides head on with a Toyota Camry (mass=1612 kg) initially traveling due West at 31.8...

QUESTION 10 1. An object of mass m, initially at rest at the origin, explodes into...

QUESTION 10 1. An object of mass m, initially at rest at the origin, explodes into two pieces. The first piece, 87.5 percent of the mass, moves along the negative x-axis at 1.32 m/s. Find the speed, in m/s, of the other piece right after the explosion. NOTE: You do not need to know mass m!
A cyclist is initially at rest at the origin. At t=0 she starts to accelerate at...

A cyclist is initially at rest at the origin. At t=0 she starts to accelerate at a constant rate, along a straight road reaching a velocity of 2.60 m/s after 12.0 seconds. 12.0 seconds after starting a prairie dog runs across her path and the cyclist hits the brakes, producing a new constant acceleration. 13.0 seconds after starting, the cyclist has a velocity of 1.50 m/s . C. What is her average acceleration in this 13-s interval? D. What is...
1. (50 points) A 5 kg object initially at rest at the origin is subject to...

1. (50 points) A 5 kg object initially at rest at the origin is subject to a time-varying force shown in the figure below. F: (N) 10 0 a) (5 points) Model: How will you model this problem? b) (15 points) Visualize: Draw the acceleration vs. time curve for this object c) (30 points) Solve: Find the velocity of the object at time t = 6s.

At the time t = 0 s, an object of mass m = 10.5kg goes through...

At the time t = 0 s, an object of mass m = 10.5kg goes through the origin of a reference frame with at velocity x_0 = 12.0 m/s directed along the x axis. A constant force F = 15 N distorted along the y axis is applied to the object. a) Draw a free body diagram of the object. b) Calculate the magnitude of the object's acceleration. c) Calculate the x and y coordinate of the object at the...