A toy car of mass m is on a level table that is a height h above level ground. While on the table, a toy moves in a straight line and has an acceleration given by a = Bt. It starts from rest at t = 0 and travels a distance L before reaching the edge of the table. Once it reaches the edge of the table, it falls towards the ground under the effect of gravity alone. Neglect the air resistance and take the magnitude of the acceleration due to gravity to be g. Your answer is only allowed to have B, L, g, and/or h. (a) Say you are to determine the velocity with which it strikes the ground. In words and equations, clearly explain your plan for how you would solve this problem. (b) Now determine the velocity with which it strives the ground. Express the velocity in component form. (c) At what angle does it strike the ground?

A toy car of mass m is on a level table that is a height h above level ground. While on the table, a toy moves in a straight line and has an acceleration given by a = Bt. It starts from rest at t = 0 and travels a distance L before reaching the edge of the table. Once it reaches the edge of the table, it falls towards the ground under the effect of gravity alone. Neglect the air resistance and take the magnitude of the acceleration due to gravity to be g. Your answer is only allowed to have B, L, g, and/or h. (a) Say you are to determine the velocity with which it strikes the ground. In words and equations, clearly explain your plan for how you would solve this problem. (b) Now determine the velocity with which it strives the ground. Express the velocity in component form. (c) At what angle does it strike the ground?

Name: A toy car of mass m is on a level table that is a height h above leve
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: A toy car of mass m is on a level table that is a height h above level ground. While on thetable, a toy moves in a straight line and has an acceleration given by a = Bt. It starts fromrest at t = 0 and travels a distance L before reaching the edge o

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 40P: A service elevator takes a load of garbage, mass 10.0 kg, from a floor of a skyscraper under...

See similar textbooks

Similar questions

An object of mass m is projected with initial velocity v0 at an angle of θ degrees to thehorizontal. Assuming that the surrounding air offers resistance kv to motion, where v isthe velocity of the object. Discuss the motion of the object in terms of maximum height,maximum horizontal distance. With appropriate choice of parameters(θ, v0, k and m) plotx + y as a function of time where x and y are horizontal displacement from the origin and theheight of the object at time t respectively
A dated box of dates, of mass 5.00 kg, is sent sliding up a frictionless ramp at an angle of to the horizontal as a function of time t, the component vx of the box’s velocity along an x axis that extends directly up the ramp.What is the magnitude of the normal force on the box from the ramp?
An inclined plane makes an angle of 30o with the horizontal. Neglecting friction forces, find the constant force, applied parallel to the plane, required to cause a 15-kg box to speed up, moving up the plane with acceleration 1.2 m/s2 and down the incline with acceleration 1.2 m /s2?
A dog and a sledge are on the frictionless ice of a frozen lake, 14.4 m apart but connected by a rope of negligible mass. The dog exerts a certain horizontal force (N) on the rope. If magnitudes of the sledge and the dog accelerations are 0.5 m/s² and 0.1 m/s?, respectively. How far from the dog's initial position (m) do they meet?
Suppose that a projectile of mass m moves in a verticalplane in the atmosphere near the surface of the earth underthe influence of two forces: a downward gravitationalforce of magnitude mg, and a resistive force FR that isdirected opposite to the velocity vector v and has magnitudek v2 (where v = |v| is the speed of the projectile;see Fig. 4.1.15). Show that the equations of motion of theprojectile are mx'' = -kvx' , my'' = -kvy' -mg,
An elevator, which weighs 8 tons with its load, is descending with a speed of 900 ft/min. Ifthe load on the cables must not exceed 14 tons, what is the shortest distance in which the elevator can be stopped?
A body weighing 2,225 N is being dragged along a rough horizontal plane by a force of P = 445 N. If the coefficient of friction is 1/12 and the line of the pull makes an angle of 18 deg above the horizontal, what are the velocities acquired from rest in the first 3.65m and in the first 5.5m?
A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg – kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places.
Ngelecting air resistance, for a projectile in the air that was launched at a non-zero angle, does it feel any force the x direction?
A person is skiing in a horizontal snow surface with a net acceleration of 0.2 meters per second per second. If his weight is 72 kg and his coefficient of dynamic friction is 0.05, determine his normal force.
A particle of mass m moves along a frictionless, horizontal plane with a speed given byv(x) = a/x, where xis its distance from the origin and ais a positive constant. Find the forceF(s) to which the particle is subject.
According to legend, Galileo Galilei dropped two balls of different mass from the top of the leaning tower of Pisa in 1589. Whether or not this public experiment ever took place, Galileo was able to demonstrate that, contrary to Aristotle’s teaching, all bodies fall at the same rate regardless of mass, assuming that one is not so tenuous that it is slowed by air resistance. In this experiment, an equation is presented relating the acceleration of gravity at Earth’s surface, g, to the height that an object falls from, h, and the time it takes the object to reach the ground, t. Gravity acceleration at Earth’s surface has been measured many times. In British Imperial Units, Small Metric Units, and Large Metric Units, the standard values of g are: g = 32 feet per second-squared (ft/s2) g = 980 centimeters per second-squared (cm/s2) g = 9.8 meters per second-squared (m/s2). Theory Newton succeeded in explaining gravitational acceleration using his Laws of…