Question

In: Physics

a box of mass m = 66.0 kg (initially at rest) is pushed a distance d...

a box of mass m = 66.0 kg (initially at rest) is pushed a distance d = 54.0 m across a rough warehouse floor by an applied force of FA = 218 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) * I already solved parts b and c so I didn't include them.

a)work done by the applied force WA =

d)work done by the force of friction Wf =

e) Calculate the net work on the box by finding the sum of all the works done by each individual force. WNet = J

f)Now find the net work by first finding the net force on the box, then finding the work done by this net force. WNet = J

Solutions

Expert Solution

Part a)

Clearly Net Applied Force is given by the x component. Which is given as,

Applied Force =

Work done by the applied force is given as the force multiplied by the distance travelled by object.

Work done by Applied force ,

Putting values we have,

So work done by the applied force is, 10190 Joule.

Part d)

Work done by force of friction can be calculated by multipying frictional force by the distance.

So, Work done by friction is 4080 Joule.

Part e and f

Please note 1 Newton meter = 1 Joule.

In case of any difficulty, Please comment.

Thank you.


Related Solutions

A block of mass 220 kg initially at rest is pushed along the floor by a...
A block of mass 220 kg initially at rest is pushed along the floor by a force F directed at an angle 40o below the positive x-axis. The force pushes against a friction force with coefficient µ = 0.25. Calculate the magnitude of the force F, that will give the block an acceleration of 3.6 m/s2
A block has mass M=2kg and is initially at rest, then slides a distance L =...
A block has mass M=2kg and is initially at rest, then slides a distance L = 1.25m down a theta = 30degrees frictionless incline plane until it is momentarily brought to rest by a spring. The spring is compressed a distance X= 3cm . a) Write down expressions for the initial and final energy of the system b) Find an expression for the spring constant K in terms of L, X, theta and M and calculate K c)The experiment is...
As shown in the figure below, a box of mass m = 68.0 kg (initially at...
As shown in the figure below, a box of mass m = 68.0 kg (initially at rest) is pushed a distance d = 91.0 m across a rough warehouse floor by an applied force of FA = 226 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) (d) work...
Two identical blocks of mass M = 2.60 kg each are initially at rest on a...
Two identical blocks of mass M = 2.60 kg each are initially at rest on a smooth, horizontal table. A bullet of very small mass m = 20 g (m << M) is fired at a high speed v. = 120 m/s towards the first block. It quickly exits the first block at a reduced speed of 0.40 v, then strikes the second block, quickly getting embedded inside of it. All the motion happens on the x-axis. (a) find the...
A window washer with a mass of 63.0 kg stands a distance, D = 0.600 m,...
A window washer with a mass of 63.0 kg stands a distance, D = 0.600 m, from the left end of a plank of length, L= 2.10 m, with a mass of 19.0 kg. The plank is hung on two cables as shown. Find T2, the tension in the right cable.
A rifle of mass M is initially at rest. A bullet of mass m is fired...
A rifle of mass M is initially at rest. A bullet of mass m is fired from the rifle with a velocity v relative to the ground. Which one of the following expressions gives the velocity of the rifle relative to the ground after the bullet is fired? A) −mv B) mv C) Mv/m D) mv/M
A ball with a mass of 0.615 kg is initially at rest. It is struck by...
A ball with a mass of 0.615 kg is initially at rest. It is struck by a second ball having a mass of 0.380 kg , initially moving with a velocity of 0.260 m/s toward the right along the x axis. After the collision, the 0.380 kg ball has a velocity of 0.230 m/s at an angle of 37.4 ∘ above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface. What is the magnitude...
A block of mass m1 = 1 kg is initially at rest at the top of...
A block of mass m1 = 1 kg is initially at rest at the top of an h1 = 1 meter high ramp, see Fig. 2 below. It slides down the frictionless ramp and collides elastically with a block of unknown mass m2, which is initially at rest. After colliding with m2, mass m1 recoils and achieves a maximum height of only h2 = 0.33 m going back up the frictionless ramp. (HINT: Solving each part in sequence will guide...
A block with a mass m = 2.12 kg is pushed into an ideal spring whose...
A block with a mass m = 2.12 kg is pushed into an ideal spring whose spring constant is k = 3580 N/m. The spring is compressed x = 0.073 m and released. After losing contact with the spring, the block slides a distance of d = 1.71 m across the floor before coming to rest. A.) Write an expression for the coefficient of kinetic friction between the block and the floor using the symbols given in the problem statement...
A 40-kg crate that is pushed at constant velocity a distance 10.0 m along a 30°...
A 40-kg crate that is pushed at constant velocity a distance 10.0 m along a 30° incline by the horizontal force F. The coefficient of kinetic friction between the crate and the incline is µk = 0.30. a.)Calculate the work done by the applied force. b.)Calculate the work done by the frictional force.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT