Figure P8.23

A particle moves along a curved path y(x) = (10 m){1+cos[(0.1 m−1)x]} , from x = 0 to x = 10π m, subject to a tangential force of variable magnitude F(x) = (10 N)sin[(0.1 m−1)x]. How much work does the force do? (Hint: Consult a table of integrals or use a numerical integration program.)

The only force acting on a 4.1 kg canister that is moving in an xy plane has a magnitude of 2.6 N. The canister initially has a velocity of 3.5 m/s in the positive x direction, and some time later has a velocity of 7.8 m/s in the positive y direction. How much work is done on the canister by the 2.6 N force during this time? Number i Units (>)

A plane having a mass of 22,000kg lands on an aircraft carrier. The plane is moving horizontally at 70 m/s when its tailhook grabs hold of the arresting cable. The cable brings the plane to a stop in a distance of 90 m. a) How much work is done on the plane by the arresting cable? b) What is the force(assumed constant) exerted on the plane by the cable?

In the figure, a small block of mass m = 0.029 kg can slide along the frictionless loop-the-loop, with loop radius R = 16 cm. The block is released from rest at point P, at height h = 5R above the bottom of the loop. How much work does the gravitational force do on the block as the block travels from point P to (a) point Q and (b) the top of the loop? If the gravitational potential energy of the block-Earth system is taken to be zero at the bottom of the loop, what is that potential energy when the block is (c) at point P, (d) at point Q, and (e) at the top of the loop? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Units R eT

A 5.80-kg block is set into motion up an inclined plane with an initial speed of v₁ = 8.20 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = to the horizontal. V. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?

In the figure, a block of mass m = 1.30 kg slides head on into a spring of spring constant k = 390 N/m. When the block stops, it has compressed the spring by 6.60 cm. The coefficient of kinetic friction between block and floor is 0.330. While the block is in contact with the spring and being brought to rest, what are (a) the work done by the spring force and (b) the increase in thermal energy of the block-floor system? (c) What is the block's speed just as the block reaches the spring?

A 1.4 kg textbook is thrown out of a window at 8.67 m/s and directed at an angle of 50.1° above horizontal. The window is 6.26 m above the ground. The textbook strikes the ground at a speed of 10.2 m/s. How much work is done on the textbook by air-resistance?

A woman pushes a m = 2.40 kg carton a distance d = 5.80 m along the floor by a constant force of magnitude F = 16.0 N directed at an angle 8 = 21.0° below the horizontal as shown in the figure. Assume the floor is frictionless. (Enter your answers in joules.) Ⓡ (a) Determine the work done on the carton by the applied force (the force on the carton exerted by the woman). (b) Determine the work done on the carton by the normal force exerted by the floor. נן (c) Determine the work done on the carton by the gravitational force. (d) Determine the work done by the net force on the carton. נן

A block of mass m= 5.00 kg is reased from point A and slides dows the frictionless track shown in the figure. calculate the speed of the block at piont B and C. g= 9.8m/s2