A kg locomotive is traveling at when its engine and brakes both fail. How far will the locomotive roll before it comes to a stop? Assume the track is level.
The locomotive roll about before it stops.
Deceleration is described as a reduction in speed as the body advances away from the beginning position. Negative acceleration is another name for deceleration.
The net deceleration is provided with the formula from the equilibrium of forces
The rolling friction between the road and the rubber is
Here we are given,
You and your friend Peter are putting new shingles on a roof pitched at 25°. You’re sitting on the very top of the roof when Peter, who is at the edge of the roof directly below you, 5.0 m away, asks you for the box of nails. Rather than carry the 2.5 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him. If the coefficient of kinetic friction between the box and the roof is 0.55, with what speed should you push the box to have it gently come to rest right at the edge of the roof?
An object moving in a liquid experiences a linear drag force: , direction opposite to the motion), where is a constant called the drag coefficient. For a sphere of radius the drag constant can be computed as , where is the viscosity of the liquid.
a. Find an algebraic expression for , the -component as a function of time, for a spherical particle of radius and mass that is shot horizontally with initial speed through a liquid of viscosity .
b. Water at has viscosity . Suppose a -diameter, ball is shot horizontally into a tank of water. How long will it take for the horizontal speed to decrease to of its initial value?
Given free body diagram :
a. Write a realistic dynamics problem for which this is the correct free-body diagram. Your problem should ask a question that can be answered with a value of position or velocity (such as “How far?” or “How fast?”), and should give sufficient information to allow a solution.
b. Solve your problem!
It shows an accelerometer, a device for measuring the horizontal acceleration of cars and airplanes. A ball is free to roll on a parabolic rack described by the equation, where both and are in meters. A scale along the bottom is used to measure the ball's horizontal position.
a. Find an expression that allows you to use a measured position to compute the acceleration. (For example, is a possible expression.)
b. What is the acceleration if
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