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

F_A = 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 done by the force of friction

W_f =

(e)

Calculate the net work on the box by finding the sum of all the works done by each individual force.

W_Net = 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.

W_Net = J

Solutions

Expert Solution

The total downward force on the box, N = m * g + F_A * sin
Where m is the mass of the box, FA is the applied force, and = 30 degrees.
N = 68.0 * 9.81 + 226 * sin(30)
= 780.08 N

Frictional force, Ff = * N
Where is the coefficient of kinetic friction.
Ff = 0.1 * 780.08
= 78.01 N

Work done by frictional force, Wf = Ff * d
Where d is the distance travelled by the box.
Wf = 78.01 * 91.0
= 7098.7 J
= 7100 J

e)
Work done by the applied force, W_A = F_A * cos * d
= 226 * cos(30) * 91
= 17810.7 J

Net work done, W_Net = W_A - W_f
= 17810.7 J - 7098.7
= 10711.95 J
= 10710 J

f)
The net force on the box, F_Net = = F_A * cos - Ff
= 226 * cos(30) - 78.01
= 117.7 N

The net work done, W_Net = F_Net * d
= 117.7 * 91.0
= 10711.95 J
= 10710 J

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

As shown in the figure, a conducting rod with a linear mass density of 0.0395 kg/m...

As shown in the figure, a conducting rod with a linear mass density of 0.0395 kg/m is suspended by two flexible wires of negligible mass in a uniform magnetic field directed into the page. A power supply is used to send a current through the rod such that the tension in the support wires is zero. (a) If the magnitude of the magnetic field is 3.70 T, determine the current in the conducting rod. (b) Determine the direction of the...

two subway cars as shown in Figure 1 have mass m = 2000 kg and are...

two subway cars as shown in Figure 1 have mass m = 2000 kg and are connected by a coupler that can be modeled as a spring of stiffness k = 280,000 N/m. Use Newton’s method to derive the equations of motion, calculate the natural frequencies and determine the associated mode shapes. also, find the time response x1(t) and x2(t) of the subway initial conditions: x(0)= [ 0, 0.2] with zero initial velocity vector.

As shown in the figure (Figure 1) , a superball with mass m equal to 50...

As shown in the figure (Figure 1) , a superball with mass m equal to 50 grams is dropped from a height of hi=1.5m . It collides with a table, then bounces up to a height of hf=1.0m . The duration of the collision (the time during which the superball is in contact with the table) is tc=15ms . In this problem, take the positive y direction to be upward, and use g=9.8m/s2 for the magnitude of the acceleration due to...

The figure below shows a bar of mass m = 0.220 kg that can slide without...

The figure below shows a bar of mass m = 0.220 kg that can slide without friction on a pair of rails separated by a distance script l = 1.20 m and located on an inclined plane that makes an angle θ = 34.0° with respect to the ground. The resistance of the resistor is R = 1.20 Ω and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire...

The figure below shows a bar of mass m = 0.240 kg that can slide without...

The figure below shows a bar of mass m = 0.240 kg that can slide without friction on a pair of rails separated by a distance = 1.20 m and located on an inclined plane that makes an angle θ = 29.0° with respect to the ground. The resistance of the resistor is R = 2.20 Ω and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through...

A bullet of mass m=20 gr is fired into a block of mass M=5 kg initially...

A bullet of mass m=20 gr is fired into a block of mass M=5 kg initially at rest at the edge of a frictionless table of height h=0.90 m. The bullet remains in the block and the block lands a distance d=0.68 m from the bottom of the table. Picture1 a)Determine the initial velocity of the bullet. vi= m/s b) Determine the loss of kinetic Energy during the collision. ΔK = J.

A bullet of mass m=11 gr is fired into a block of mass M=1 kg initially...

A bullet of mass m=11 gr is fired into a block of mass M=1 kg initially at rest at the edge of a frictionless table of height h=1.10 m. The bullet remains in the block and the block lands a distance d=0.67 m from the bottom of the table. a)Determine the initial velocity of the bullet. b) Determine the loss of kinetic Energy during the collision.

A bullet of mass m=12 gr is fired into a block of mass M=1 kg initially...

A bullet of mass m=12 gr is fired into a block of mass M=1 kg initially at rest at the edge of a frictionless table of height h=1.00 m. The bullet remains in the block and the block lands a distance d=0.60 m from the bottom of the table. a)Determine the initial velocity of the bullet. vi= m/s b) Determine the loss of kinetic energy during the collision. ΔK = J

A bullet of mass m=14 gr is fired into a block of mass M=1 kg initially...

A bullet of mass m=14 gr is fired into a block of mass M=1 kg initially at rest at the edge of a frictionless table of height h=1.10 m. The bullet remains in the block and the block lands a distance d=0.65 m from the bottom of the table. Determine the initial velocity of the bullet. Determine the loss of kinetic Energy during the collision

The figure shows an initially stationary block of mass m on a floor. A force of...

The figure shows an initially stationary block of mass m on a floor. A force of magnitude 0.500mg is then applied at upward angle θ = 20°. What is the magnitude of the acceleration of the block across the floor if (a) μs = 0.630 and μk = 0.530 and (b) μs = 0.430 and μk = 0.320? (a) Number Enter your answer in accordance to item (a) of the question statement Units Choose the answer from the menu in...

Subjects