A car is skidding to a stop on a level stretch of road. Identify all the action/reaction pairs of forces between the car and the road surface. Then draw a free-body diagram for the car.

You hold a picture motionless against a wall by pressing on it. Draw a free-body diagram.

two children fight over a 200 g stuffed bear. The 25 kg boy left with a 17 N force. Ignore all other forces on the bear (such as its weight). a. At this instant, can you say what the velocity of the bear is? If so, what are the magnitude and direction of the velocity? b. At this instant, can you say what the acceleration of the bear is? if so what are the magnitude and direction of the acceleration?

For the problem, identify all the forces acting on the object and draw a free-body diagram of the object. A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. Friction is not negligible.

Dave pushes his four-year-old son Thomas across the snow on a sled. As Dave pushes, Thomas speeds up. Which statement is true? A. The force of Dave on Thomas is larger than the force of Thomas on Dave. B. The force of Thomas on Dave is larger than the force of Dave on Thomas. C. Both forces have the same magnitude. D. It depends on how hard Dave pushes on Thomas.

Josh and Taylor, standing face-to-face on frictionless ice, push off each other, causing each to slide backward. Josh is much bigger than Taylor. After the push, which of the two is moving faster?

For the problem, identify all the forces acting on the object and draw a free-body diagram of the object. Your car is skidding to a stop from a high speed.

A car has a mass if 1500 kg. If the driver applies the brakes while on a gravel road, the maximum friction force that the tires can provide without skidding is about 7000 N. If the car us moving at 20 m/s, what is the shortest distance in which the car can stop safely?

A cave explorer is being lowered into a vertical shaft by a rope. He is slowing down as he nears the bottom.

The froghopper (Philaenus spumarius), the champion leaper of the insect world, has a mass of 12.3 mg and leaves the ground (in the most energetic jumps) at 4.0 m/s from a vertical start. The jump itself lasts a mere 1.0 ms before the insect is clear of the ground. Assuming constant acceleration, draw a free-body diagram of this mighty leaper during the jump.

A student draws the flawed free-body diagram shown as we discussed earlier to represent the forces acting on a car traveling at constant speed on a level road. Identify the errors in the diagram, then draw a correct free-body diagram for this situation.

Often a radical change in the solution of a differential equation corresponds to a very small change in either the initial condition or the equation itself. Compare the solutions of the given initial-value problems. $\frac{d y}{d x}=(y-1)^{2}, \quad y(0)=1$

The amount of time (in hours per week) a student utilizes a math-tutoring center roughly follows the normal distribution y = 0.7979e^-(x-5.4)^2/0.5, 4 ≤ x ≤ 7 where x is the number of hours. Use a graphing utility to graph the function.

In t-ball, young players use a bat to hit a stationary ball off a stand. The 140 g ball has about the same mass as a baseball, but it is larger and softer. In one hit, the ball leaves the bat at 12 m/s after being in contact with the bat for 2.0 ms. Assume constant acceleration during the hit. a. What is the acceleration of the ball? b. What is the net force on the ball during the hit?