A 0.50 kg ball that is tied to the end of a 1.3 m light cord is revolved in a horizontal plane with the cord making a 30 angle, with the vertical (See Fig. P7.52.)

In the figure below, a man is trying to get his car out of mud on the shoulder of a road. He ties one end of a rope tightly around the front bumper and the other end tightly around a utility pole 15 m away. He then pushes sideways on the rope at its midpoint with a force of 550 N, displacing the center of the rope 0.31 m from its previous position, and the car barely moves. What force does the rope exert on the car?

The 10-turn loop of wire shown in the figure lies in a horizontal plane, parallel to a uniform horizontal magnetic field, and carries a 2.0 current. The loop is free to rotate about a nonmagnetic axle through the center. A 50 mass hangs from one edge of the loop.

Two tiny conducting spheres are identical and carry charges of -26.5 C and +51.7 C. They are separated by a distance of 3.37 cm. (a) What is the magnitude of the force that each sphere experiences?

What is the force felt by the electrons and the nuclei in the rod when the external field described in the problem introduction is applied? (Ignore internal fields in the rod for the moment

The 1.0 kg block in the figure is tied to the wall with a rope. It sits on top of the 2.0 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic friction at both the lower and upper surfaces of the 2.0 kg block is = 0.450.

Rod OA rotates counterclockwise with a constant angular velocity of 5 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other slides over the horizontal curved rod, of which the shape is described by the equation r = 1.5(2 - cosq) ft. If both collars weight 0.75 lb, determine the normal force which the curved rod exerts on one collar at the instant = 120o. Neglect friction.

you and your bicycle have a total mass of 79.1 kilograms. You accelerate at a rate of 1.79 m/s ^2. Calculate the net force that is accelerating on the object.

Marks: 1 A 10-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0.80 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P = 80 N) acting parallel to the surface is applied to the block, as shown. What is the speed of the block when it is 13 cm from its equilibrium position?

A 230 g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.200 s. If the total energy of the system is 3.00 J.

A car of mass accelerates from speed to speed while going up a slope that makes an angle with the horizontal. The coefficient of static friction is , and the acceleration due to gravity is . Find the total work done on the car by the external forces.

A 1240-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960-N crate hangs from the far end of the beam. Using the data shown in the figure, find (a) the magnitude of the tension in the wire and the magnitudes of the (b) horizontal and (c) vertical components of the force that the wall exerts on the left end of the beam.

A small ball rolls around a horizontal circle at height y inside a frictionless hemispherical bowl of radius. Find an expression for the ball's angular velocity in terms of R, y and g. What is the minimum value of for which the ball can move in a circle? Express your answer in terms of the variables R, y, and appropriate constants

The vice-president of marketing and the director of human resources have developed a proposal whereby the company would compensate the sales force on a strictly commission basis using 20% of net sales. Given the increased incentive, they expect net sales to increase by 15%. As a result, they estimate that gross profit will increase by $53,061 and operating expenses by $88,322. Compute the expected new net income. (Hint: You do not need to prepare an income statement).

Figure 23-33 shows a zero-resistance rod sliding to the right on two zero-resistance rails separated by the distance L = 0.47 m. The rails are connected by a 11.7 resistor, and the entire system is in a uniform magnetic field with a magnitude of 0.750 T. a) Find the force that must be exerted on the rod to maintain a constant current of 0.125 A in the resistor. (b) What is the rate of energy dissipation in the resistor? (c) What is the mechanical power delivered to the rod?

In the figure below, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length a = 8.50 cm. Each wire carries 18.0 A, and all the currents are out of the page. What is the net magnetic force per meter of wire length on wire 1?